Abstract:
A formulation includes a polymeric material, a nucleating agent, and a surface active agent. The formulation can be used to form an insulated container.

Description:
PRIORITY CLAIM 
       [0001]    This application claims priority under 35 U.S.C. §119(e) to U.S. Provisional Application No. 61/779,951, filed Mar. 13, 2013, which is expressly incorporated by reference herein. 
     
    
     BACKGROUND 
       [0002]    The present disclosure relates to polymeric materials that can be formed to produce a container, in particular polymeric materials that insulate. More particularly, the present disclosure relates to morphology and crystalline structure of cellular polymeric material that can be transformed into usable articles, such as insulated containers. 
       SUMMARY 
       [0003]    An insulated container in accordance with the present disclosure, which may be a drink cup or a food-storage cup (e.g.), is manufactured from a sheet extrudate or tubular extrudate produced in an extrusion process. In illustrative embodiments, the extrudate is a cellular polymeric material. 
         [0004]    In illustrative embodiments, an insulative container in accordance with the present disclosure is manufactured from a tubular extrudate produced in an extrusion process. In illustrative embodiments, the extrudate is an insulative cellular polypropylene-based material configured to provide resistance to creasing and/or wrinkling during cup convolution or shaping. 
         [0005]    In illustrative embodiments, the cell morphology of an extruded sheet of insulative cellular polypropylene-based material in accordance with the present disclosure is a function of the extrusion angle, which has an effect on the quality of an article, such as an insulative container, formed therewith. In particular, cell morphology is affected by the angle at which a polypropylene-based material in accordance with the present disclosure exits an enclosed die volume through an extruder die lips, and is related to a reduction in, if not an elimination of, deep creases and/or wrinkles inside the formed article. 
         [0006]    In illustrative embodiments, the cell morphology of an extruded sheet of insulative cellular polypropylene-based material in accordance with the present disclosure is a function of formulation and process conditions, which conditions have an effect on the quality of an article, such as an insulative container, formed therewith. In particular, the effects of such conditions on cell density and cell dimensional attributes, and ultimately on crease/wrinkle resistance, results in a wrinkle-resistance prediction model based on power law regression. 
         [0007]    In illustrative embodiments, the cell aspect ratio of an extruded sheet of insulative cellular polypropylene-based material in accordance with the present disclosure has an effect on the wrinkle resistance of that material during mechanical convolution. Parameters such as cell density and aspect ratio ultimately determine control limits that result in a wrinkle-resistance model for the extruded sheet. 
         [0008]    In illustrative embodiments, the machine direction cell aspect ratio of an extruded sheet of insulative cellular polypropylene-based material in accordance with the present disclosure has a greater effect than the cell aspect ratio in the cross-web direction on the wrinkle resistance of that material during mechanical convolution. 
         [0009]    In illustrative embodiments, the orientation of an extruded sheet of insulative cellular polypropylene-based material in accordance with the present disclosure has an effect on the wrinkle resistance of that material during mechanical convolution. In particular, when formed into a circular article, the sheet should be oriented such that the circumference of the circular article represents −45° to +45° parallel to the direction of flow for the material of the sheet. The effects of parameters such as sheet orientation in formed circular articles ultimately influence their wrinkle-resistance capability. 
         [0010]    Additional features of the present disclosure will become apparent to those skilled in the art upon consideration of illustrative embodiments exemplifying the best mode of carrying out the disclosure as presently perceived. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0011]    The detailed description particularly refers to the accompanying figures in which: 
           [0012]      FIG. 1  is a microscopy image of a 44°-extruded sheet strip from an insulative cellular polypropylene-based material of the present disclosure used to quantify dimensional morphology of cell length and width; 
           [0013]      FIG. 2  is a microscopy image of cell wall measurement for a 44°-extruded sheet strip from an insulative cellular polypropylene-based material of the present disclosure used to quantify dimensional morphology; 
           [0014]      FIG. 3  is a microscopy image of a 90°-extruded sheet strip from an insulative cellular polypropylene-based material of the present disclosure used to quantify dimensional morphology; 
           [0015]      FIG. 4  is an image showing cells with an aspect ratio of about 2.32 and cell density of about 1,216,000 cells/in 3 , which cells were taken from the CD direction on a convoluted product that demonstrated wrinkle-resistant behavior; 
           [0016]      FIG. 5  is an image showing cells with an aspect ratio of about 3.25 and cell density of about 1,159,000 cells/in 3 , which cells were taken from the CD direction on a convoluted product that demonstrated micro-creasing and macro-creasing behavior; 
           [0017]      FIG. 6  is an image showing cells with an aspect ratio of about 1.94 and cell density of about 1,631,000 cells/in 3 , which cells were taken from the MD direction on a convoluted product that demonstrated wrinkle-resistant behavior; 
           [0018]      FIG. 7  is an image showing cells with an aspect ratio of about 3.63 and cell density of about 933,000 cells/in 3 , which cells were taken from the MD direction on a convoluted product that demonstrated micro-creasing and macro-creasing behavior; 
           [0019]      FIG. 8  is a graph with a power law regression fit of cell density vs. cell length in an x-y plot for insulative cellular polypropylene-based materials of the present disclosure where the power law equation for predicting cell length with respect to cell density is y=999,162,715.083x −2.613  and R 2 =0.972; 
           [0020]      FIG. 9  is a graph with a power law regression fit of cell density vs. cell length in a log-log plot for insulative cellular polypropylene-based materials of the present disclosure where the power law equation for predicting cell length with respect to cell density is y=999,162,715.083x −2.613  and R 2 =0.972; 
           [0021]      FIG. 10  is a graph with a power law regression fit of cell density vs. cell width in an x-y plot for insulative cellular polypropylene-based materials of the present disclosure where the power law equation for predicting cell width with respect to cell density is y=287,106,186.479x −3.295  and R 2 =0.974; 
           [0022]      FIG. 11  is a graph with a power law regression fit of cell density vs. cell width in a log-log plot for insulative cellular polypropylene-based materials of the present disclosure where the power law equation for predicting cell with respect to cell density is y=287,106,186.479x −3.295  and R 2 =0.974; 
           [0023]      FIG. 12  is a graph with a power law regression fit of cell density vs. cell wall thickness in an x-y plot for insulative cellular polypropylene-based materials of the present disclosure where the power law equation for predicting cell wall thickness with respect to cell density is y=448,002.648x −3.053  and R 2 =0.973; 
           [0024]      FIG. 13  is a graph with a power law regression fit of cell density vs. cell wall thickness in a log-log plot for insulative cellular polypropylene-based materials of the present disclosure where the power law equation for predicting cell wall thickness with respect to cell density is y=448,002.648x −3.053  and R 2 =0.973; 
           [0025]      FIG. 14  is a graph with a power law regression fit of cell density vs. cell length in an x-y plot for insulative cellular polypropylene-based materials of the present disclosure where the power law equation for predicting cell length with respect to cell density is y=1,243,388,528.484x −2.626  and R 2 =0.945; 
           [0026]      FIG. 15  is a graph with a power law regression fit of cell density vs. cell width in an x-y plot for insulative cellular polypropylene-based materials of the present disclosure where the power law equation for predicting cell width with respect to cell density is y=426,736,129.761x −3.417  and R 2 =0.939; 
           [0027]      FIG. 16  is an x-y plot of cell density vs. machine direction (MD) cell aspect ratio illustrating the effect of MD cell morphology on creasing; and 
           [0028]      FIG. 17  is an x-y plot of cell density vs. cross direction (CD) cell aspect ratio illustrating the effect of CD cell morphology on creasing. 
       
    
    
     DETAILED DESCRIPTION 
       [0029]    An unexpected feature of exemplary embodiments of an extruded sheet of insulative cellular polypropylene-based material in accordance with the present disclosure is the ability of the sheet to form a noticeably crease-free and wrinkle-free surface when curved to form a round article, such as an insulative cup. The surface is wrinkle-free even inside the cup, where compression forces typically cause material to crush and/or crease easily, especially for low density material with a large cell aspect ratio. In exemplary embodiments, the surface profile of an extruded sheet of insulative cellular polypropylene-based material as detected by microscopy is such that the depth of the indentations (i.e., creases and/or wrinkles) naturally occurring in the outside and inside of the cup surface when it is subject to extension and compression forces during cup forming may be less than about 100 microns. In one exemplary embodiment, the surface profile may include indentations of less than about 50 microns. In another exemplary embodiment, the surface profile may include indentations of about 5 microns or less. At a depth of about 10 microns and less, micro-wrinkles and/or creases on a cup surface are ordinarily not visible to the naked eye. 
         [0030]    In one exemplary embodiment, an insulative cup formed from a sheet comprising a skin and a strip of insulative cellular polypropylene-based material in accordance with the present disclosure had typical creases (i.e., deep wrinkles) about 200 microns deep extending from the top of the cup to the bottom of the cup. In another exemplary embodiment, an insulative cup formed from a sheet comprising a strip of insulative cellular polypropylene-based material only (without a skin) in accordance with the present disclosure had typical creases about 200 microns deep extending from the top of the cup to the bottom of the cup. Such creases with depths from about 100 microns to about 500 microns are typically formed inside of a cup undergoing compression. Creases and deep wrinkles may present a problem of unsatisfactory surface quality making cups with such surface features unusable or undesirable. Creases may form in instances where sheets include a skin or exclude a skin. 
         [0031]    It was unexpectedly found that the cell morphology of an extruded sheet of insulative cellular polypropylene-based material in accordance with the present disclosure has an effect on the quality of the formed article, such as an insulative cup. The effects of cell morphology on wrinkle resistance in insulative cellular polypropylene-based material can be illustrated through examining the effect of varying an extruder die lips angle. In exemplary embodiments, the angle at which insulative cellular polypropylene-based material in accordance with the present disclosure exits an enclosed volume may affect the material&#39;s wrinkle resistance. It was found that for a specified formulation of insulative cellular polypropylene-based material and specified cup forming conditions, different die exit angles lead to noticeably different levels of creasing and/or wrinkling in article surfaces during extruded sheet convolution. The two geometric exit angles selected for examination in the present disclosure are those commonly used in polyethylene foam production, i.e., an exit angle of 90°, and in polystyrene foam production, i.e., an exit angle of 44° (see, Example 1). 
         [0032]    In exemplary embodiments, insulative cellular polypropylene-based material in accordance with the present disclosure may be extruded as sheet. Microscopy images show that distinct cell morphology exists, i.e., cell structure distinctions, within such an extruded sheet when one sheet is produced with a higher curvature die exit angle and the other with a lower curvature die exit angle. When the resulting sheets are cut in the cross direction and machine direction and examined under a microscope, the difference in cell morphology between the two sheets can be detected. 
         [0033]    Direct evidence of polymer cell structure is provided by microscopy studies. There is a close relationship between the regularity of molecular structure and malleability. Cell morphology describes polymer cell density, cell structure, cell wall thickness, cell shape, and cell size distribution of cells. Polymer cell structures may have the same general shape and appearance, being composed predominantly of ovular cells, and the same log normal cell distribution, but possess a different cell aspect ratio and cell wall thickness. Illustratively, cell aspect ratio is the ratio between lengths of the ovular polymer cells to widths of the ovular polymer cells. Illustratively, cell wall thickness is the solid polymeric distance between individual polymer cells. 
         [0034]    In one exemplary embodiment, an extruded sheet of insulative cellular polypropylene-based material in accordance with the present disclosure may exit from an enclosed die volume at an angle of 90°. In another exemplary embodiment, an extruded sheet of insulative cellular polypropylene-based material may exit from an enclosed die volume at an angle of 44°. Illustratively, an extruded sheet of insulative cellular polypropylene-based material may exit from an enclosed die volume at an angle between 44° and 90°. Two such sheets, one produced at an exit angle of 44° and the other at an exit angle of 90°, can be prepared as strips either in the machine direction or in the cross direction and analyzed with digital microscopy. Cell density, cell distribution, cell shape, cell aspect ratio, and cell wall thickness of an extruded sheet can be held constant when extrusion parameters such as recipe, temperature, and cooling rate are the same. In the present disclosure, formation of wrinkled material was found to occur when the exit angle of curvature increased from 44° to 90° (see, Example 1,  FIGS. 1-3 ). Without wishing to be bound by theory, one plausible explanation may be that cell density and dimensional morphology are a function of enclosed die volume exit angle, i.e., cell density and dimensional morphology may be altered upon exit from different enclosed die volume exit angles, thereby creating wrinkled material. Because production of insulative cellular polypropylene-based material with CO 2  as a blowing agent is still in industrial infancy and development, the present disclosure provides a basis for new process development involving the use of die angle geometries and their effect on cell morphology. 
         [0035]    It was unexpectedly found that cell morphology, especially cell density, of an extruded sheet of insulative cellular polypropylene-based material in accordance with the present disclosure has an effect on the quality of the formed article, such as a cup, formed therewith. The effects of cell density and dimensional attributes on wrinkle resistance in insulative cellular polypropylene-based material can be illustrated through examining cell morphology data from different formulations and process conditions, thus creating a wrinkle-resistance prediction model based on power law regression. 
         [0036]    In exemplary embodiments, the cell density of insulative cellular polypropylene-based material in accordance with the present disclosure may affect the material&#39;s resistance to wrinkling. In other exemplary embodiments, the total cell number of insulative cellular polypropylene-based material may affect the material&#39;s wrinkle resistance to wrinkling. In other exemplary embodiments, the cell aspect ratio in the machine direction, i.e., the direction parallel to the flow of insulative cellular polypropylene-based material, may affect the material&#39;s resistance to wrinkling. In other exemplary embodiments, the cell aspect ratio in the cross direction, i.e., the direction perpendicular to the flow of insulative cellular polypropylene-based material, may affect the material&#39;s resistance to wrinkling. In other exemplary embodiments, the overall cell length of insulative cellular polypropylene-based material may affect the material&#39;s resistance to wrinkling. In other exemplary embodiments, the overall cell thickness of insulative cellular polypropylene-based material may affect the material&#39;s resistance to wrinkling. In other exemplary embodiments, the cell length of insulative cellular polypropylene-based material may affect the material&#39;s resistance to wrinkling. In other exemplary embodiments, the cell width of insulative cellular polypropylene-based material may affect the material&#39;s resistance to wrinkling. In other exemplary embodiments, the cell wall thickness of insulative cellular polypropylene-based material may affect the material&#39;s resistance to wrinkling. In other exemplary embodiments, cell dimensional attributes may follow a power law that is independent of formula and processing conditions (see, Example 2,  FIGS. 8-15 ). Accordingly, although production of insulative cellular polypropylene-based material with CO 2  as a blowing agent is still in industrial infancy and development, the present disclosure also provides process know how and a basis for predicting wrinkle resistance in insulative cellular polypropylene-based material that is independent of material formula and processing conditions. 
         [0037]    The insulative cellular polypropylene-based material of the present disclosure satisfies a long-felt need for a material that can be formed into an article, such as an insulative cup, that includes the features of wrinkle-resistance and crease-resistance as described herein, as well as many, if not all, of the features of insulative performance, recyclability, puncture resistance, frangibility resistance, and microwavability, which features are described in U.S. patent application Ser. Nos. 13/491,007 and 13/491,327 both of which are incorporated herein by reference in their entirety. Others have failed to provide a material that achieves combinations of these features as reflected in the appended claims. 
       EXAMPLES 
       [0038]    The following examples are set forth for purposes of illustration only. Parts and percentages appearing in such examples are by weight unless otherwise stipulated. 
       Example 1 
     Formulation, Extrusion, and Sheet Formation 
       [0039]    An exemplary formulation used to illustrate the present disclosure is presented below and is described in U.S. Provisional Application Ser. No. 61/719,096, the disclosure of which is hereby incorporated herein by reference in its entirety: 
         [0040]    DAPLOY™ WB140 polypropylene homopolymer (available from Borealis A/S) was used as the polypropylene base resin. F020HC, available from Braskem, a polypropylene homopolymer resin, was used as the secondary resin. The two resins were blended with: Hydrocerol™ CF-40E™ as a chemical blowing agent, talc as a nucleation agent, CO 2  as a blowing agent, a slip agent, and titanium dioxide as a colorant. Percentages were:
       81.45% Primary resin: high melt strength polypropylene Borealis WB140 HMS   15% Secondary resin: F020HC (Braskem) homopolymer polypropylene   0.05% Chemical blowing agent: Clariant Hyrocerol CF-40E™   0.5% Nucleation agent: Heritage Plastics HT4HP Talc   1% Colorant: Colortech 11933-19 TiO 2  PP   2% Slip agent: Ampacet™ 102823 Process Aid LLDPE (linear low-density polyethylene), available from Ampacet Corporation       
 
         [0047]    The formulation described above was added to an extruder hopper. The extruder heated the formulation to form a molten resin mixture. To this mixture was added 2.2 lbs/hr CO 2 , which was injected into the resin blend to expand the resin and reduce density. The mixture thus formed was extruded through a die head into a sheet as described in U.S. application Ser. No. 13/491,007, the disclosure of which is hereby incorporated herein by reference in its entirety. 
         [0048]    High resolution microscopy may be used to determine the dimensional properties of microcellular polymeric material. The Keyence VHX-1000 Digital Microscope was used to determine the dimensional properties of insulative cellular polypropylene-based material cells of the present disclosure. In one exemplary embodiment, cell length may be the dimensional property denoting maximum distance from top to bottom of cells running parallel to the machine direction. In another exemplary embodiment, cell length may also be the dimensional property denoting maximum distance from top to bottom of cells running parallel to the cross direction. In yet another exemplary embodiment, cell width may be the dimensional property denoting maximum distance from top to bottom of cells running perpendicular to the machine and cross direction. In still another exemplary embodiment, cell wall thickness may be the dimensional property denoting maximum distance between separated cell voids across a line running perpendicular to the machine and cross direction. 
         [0049]    In order to assess the effect of cell morphology of an extruded sheet of insulative cellular polypropylene-based material on the quality of an article formed therewith, such as a cup, a minimum of 700 measurement points were chosen for each of the length and width dimensional properties in order to verify consistency throughout a strip of the material. A minimum of 200 measurement points were chosen for cell wall thickness as a dimensional property in order to verify consistency throughout the strip of insulative cellular polypropylene-based material. In one exemplary embodiment, a sheet of insulative cellular polypropylene-based material may be extruded from an enclosed die volume at an angle of 44°. In another exemplary embodiment, a sheet of insulative cellular polypropylene-based material may be extruded from an enclosed die volume at an angle of 90°. A sheet of insulative cellular polypropylene-based material extruded at an angle of 44° is referred to herein as Material C. A sheet of insulative cellular polypropylene-based material extruded at an angle of 90° is referred to herein as Material D. Strips of insulative cellular polypropylene-based material from 44° and 90° exit angles were quantitatively compared as shown in  FIGS. 1-3 . 
       Example 1 
     Test Method 
       [0050]    The typical testing method used for cell morphology measurement was as follows:
       1. Cut a strip of insulative cellular polypropylene-based material along the cross direction (CD) and machine direction (MD).   2. Hold the material with a flat clamp and use a razor blade to perform a fine shave.   3. Focus the microscope at 100× and adjust lighting onto the material.   4. Perform length and width measurements of each unique cell in the CD and MD orientation and record values (see,  FIG. 1 ).   5. Perform cell wall thickness measurements across 3-4 tangent lines to overall length of each unique cell in the CD and MD orientation and record the values (see,  FIG. 2 ).   6. Move microscope visual field so the bottom of the most upper incomplete cell is touching the bottom of the screen.   7. Repeat steps 4-5 on each new unique cell until at least 0.500″ of the strip is measured.       
 
         [0058]    A sheet of insulative cellular polypropylene-based material produced as described herein typically possessed a density of about 0.1615 g/cm 3  and material thickness of about 0.066 inches (1.6764 mm). 
       Example 1 
     Test Results 
       [0059]    The cell morphology of an extruded sheet of insulative cellular polypropylene-based material exiting the enclosed die volume at angles of 44° and 90° differed greatly in terms of cell height, cell width, cell aspect ratio, and cell wall thickness (see, Table 1). In the machine direction or MD, Material C had an average length of 19.54 mils (49.63 mm), an average width of 8.53 mils (21.67 mm), an average cell wall thickness of 1.02 mils (2.59 mm), and average aspect ratio of 2.29. In the machine direction or MD, Material D had an average length of 17.01 mils (43.21 mm), an average width of 5.22 mils (13.26 mm), an average cell wall thickness of 0.77 mils (1.96 mm), and average aspect ratio of 3.26. 
         [0060]    In the cross-web direction or CD, Material C had an average length of 18.45 mils (46.86 mm), an average width of 8.28 mils (21.03 mm), an average cell wall thickness of 0.96 mils (2.44 mm), and average aspect ratio of 2.23. In the cross-web direction or CD, Material D has an average length of 16.43 mils (41.73 mm), an average width of 5.30 mils (13.46 mm), an average cell wall thickness of 0.84 mils (2.13 mm), and average aspect ratio of 3.10. 
         [0061]    Moreover, formation of wrinkled insulative cellular polypropylene-based material was found to occur when the exit angle of curvature increased from 44° to 90° (see, Example 1,  FIGS. 1-3 ). Based on these results, it can be concluded that die exit angles from enclosed die volumes create different material morphology, with differing resistance to wrinkling and/or creasing, when recipe and process conditions are held constant. In one exemplary embodiment, wrinkle-resistant insulative cellular polypropylene-based material may be created concomitantly with a decrease in die exit angle. The lower the angle of die exit, the easier it is to control and orient the cell aspect ratio, thus enabling preparation of a sheet of insulative cellular polypropylene-based material that possesses cell aspect ratios close to 1. In exemplary embodiments, die exit angles within an inclusive range of 50°-60° may produce wrinkle-resistant insulative cellular polypropylene-based material. In other exemplary embodiments, die exit angles within an inclusive range of 40°-50° may produce wrinkle-resistant insulative cellular polypropylene-based material. In other exemplary embodiments, die exit angles within an inclusive range of 30°-40° may produce wrinkle-resistant insulative cellular polypropylene-based material. In other exemplary embodiments, die exit angles within an inclusive range of 20°-30° may produce wrinkle-resistant insulative cellular polypropylene-based material. In other exemplary embodiments, die exit angles within an inclusive range of 10°-20° may produce wrinkle-resistant insulative cellular polypropylene-based material. In other exemplary embodiments, die exit angles within an inclusive range of 0°-10° may produce wrinkle-resistant insulative cellular polypropylene-based material. The higher the angle of die exit, the more oriented the cell aspect ratio becomes, especially in the MD direction, i.e., the direction parallel to flow of insulative cellular polypropylene-based material. Without wishing to be bound by theory, lower cell aspect ratios may reduce local stress concentrations that are experienced during convolution of insulative cellular polypropylene-based material, thus leading to wrinkle-resistant and/or crease-resistant material. 
         [0000]    
       
         
               
             
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 MD and CD Dimensional Attributes of Material C and Material D 
               
             
          
           
               
                   
                 Cells dimensions 
                 44° 
                 90° 
               
               
                   
                 [milli inches] 
                 Material C 
                 Material D 
               
               
                   
                   
               
             
          
           
               
                   
                 MD 
                 Cell length 
                 19.54 
                 17.01 
               
               
                   
                   
                 Cell width 
                 8.53 
                 5.22 
               
               
                   
                   
                 MD Cell Aspect Ratio 
                 2.29 
                 3.26 
               
               
                   
                   
                 Cell Wall Thickness 
                 1.02 
                 0.77 
               
               
                   
                 CD 
                 Cell length 
                 18.45 
                 16.43 
               
               
                   
                   
                 Cell width 
                 8.28 
                 5.30 
               
               
                   
                   
                 CD Cell Aspect Ratio 
                 2.23 
                 3.10 
               
               
                   
                   
                 Cell Wall Thickness 
                 0.96 
                 0.84 
               
               
                   
                   
               
             
          
         
       
     
       Example 2 
     Formulation, Extrusion, and Sheet Formation 
       [0062]    High resolution microscopy may be used to determine the dimensional properties of microcellular polymeric materials. The Keyence VHX-1000 Digital Microscope and Keyence VHX-2000 Digital Microscope were used to determine the dimensional properties of insulative cellular polypropylene-based material cells from the present disclosure. 
         [0063]    Nine specified formulations with dissimilar processing conditions (see, Table 2) produced cell dimensional properties that were found to follow a power law model with high accuracy and produce material that may possess wrinkle resistance. The following variables were held constant throughout iterations 1-18: 1° extruder temperature, 2° temperature, extruder speed, sheet pull rate, cooling mandrel diameter, cooling mandrel temperature, and overall die temperature (see, Table 3A). The following variables were altered throughout the aforementioned trial iterations: formula, exit die pressure, die lip angle, die air ring cooling [l/min], and orientation (see, Table 3A). The following variables were held constant throughout iterations 19-45: 1° extruder temperature, extruder speed, sheet pull rate, cooling mandrel diameter, cooling mandrel temperature, and overall die temperature (see, Table 3B). The following variables were altered throughout the aforementioned trial iterations: 2° temperature, exit die pressure, die air ring cooling [l/min], CO 2 %, and orientation (see, Table 3B). Iterations 46-50 were conducted in a manner similar to iterations 1-45 in order to investigate the occurrence of creasing during convolution of insulative cellular polypropylene-based material into a circular article (see, Table 3C). 
         [0064]    Cross-web direction and machine direction dimensional attributes of 50 different iterations with nine specified formulations were incorporated in the analysis in order to produce data sufficient for high accuracy and precision, as shown in  FIGS. 1-3 . The specific formulation described above for Example 1 as well as eight other formulations were used to illustrate this aspect of present disclosure (see, Table 2). 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 2 
               
             
             
               
                   
               
               
                 Formulations and Processing Conditions 
               
             
          
           
               
                   
                   
                   
                   
                   
                   
                   
                   
                 CO 2   
               
               
                   
                   
                   
                 Chemical 
                   
                   
                   
                   
                 (Lbs/Hr) 
               
               
                 Formula 
                   
                   
                 Blowing 
                 Additive 
                 Additive 
                 Additive 
                 Additive 
                 [Table 
               
               
                 # 
                 1° Resin 
                 2° Resin 
                 Agent 
                 #1 
                 #2 
                 #3 
                 #4 
                 3B] 
               
               
                   
               
               
                 1 
                 81.5% 
                 15% 
                 None 
                 0.5% Heritage 
                 1% 
                 2% 
                 None 
                 2.2-2.3 
               
               
                   
                 Borealis 
                 Braskem 
                   
                 Plastics HT4HP 
                 Colortech 
                 Ampacet ™ 
               
               
                   
                 WB140 
                 F020HC 
                   
                 Talc 
                 11933-19 
                 102823 
               
               
                   
                 HMS 
                   
                   
                   
                 TiO 2 -PP 
                 Process Aid 
               
               
                 2 
                 82.5% 
                 15% 
                 None 
                 0.5% Techmer 
                 None 
                 2% 
                 None 
                 2.2-2.3 
               
               
                   
                 Borealis 
                 Braskem 
                   
                 PM PPM16466 
                   
                 Ampacet ™ 
               
               
                   
                 WB140 
                 F020HC 
                   
                 Silica 
                   
                 102823 
               
               
                   
                 HMS 
                   
                   
                   
                   
                 Process Aid 
               
               
                 3 
                 82.5% 
                 15% 
                 None 
                 0.5% Techmer 
                 None 
                 2% 
                 None 
                 2.2-2.3 
               
               
                   
                 Borealis 
                 Braskem 
                   
                 PM PPM16464 
                   
                 Ampacet ™ 
               
               
                   
                 WB140 
                 F020HC 
                   
                 Silica 
                   
                 102823 
               
               
                   
                 HMS 
                   
                   
                   
                   
                 Process Aid 
               
               
                 4 
                 82.5% 
                 15% 
                 None 
                 0.5% Heritage 
                 None 
                 2% 
                 None 
                 2.2-2.3 
               
               
                   
                 Borealis 
                 Braskem 
                   
                 Plastics HT4HP 
                   
                 Ampacet ™ 
               
               
                   
                 WB140 
                 F020HC 
                   
                 Talc 
                   
                 102823 
               
               
                   
                 HMS 
                   
                   
                   
                   
                 Process Aid 
               
               
                 5 
                 81.5% 
                 15% 
                 None 
                 0.5% Heritage 
                 1% 
                 2% 
                 None 
                 2.2-2.3 
               
               
                   
                 Borealis 
                 Braskem 
                   
                 Plastics HT4HP 
                 Cell 
                 Ampacet ™ 
               
               
                   
                 WB140 
                 F020HC 
                   
                 Talc 
                 Stabilizer 
                 102823 
               
               
                   
                 HMS 
                   
                   
                   
                   
                 Process Aid 
               
               
                 6 
                 81.45% 
                 15% 
                 0.05% 
                 0.5% Heritage 
                 1% 
                 2% 
                 None 
                 2.2-2.4 
               
               
                   
                 Borealis 
                 Braskem 
                 Clariant 
                 Plastics HT4HP 
                 Colortech 
                 Ampacet ™ 
               
               
                   
                 WB140 
                 F020HC 
                 Hydrocerol 
                 Talc 
                 11933-19 
                 102823 
               
               
                   
                 HMS 
                   
                 CF-40E ™ 
                   
                 TiO 2 -PP 
                 Process Aid 
               
               
                 7 
                 81.45% 
                 15% 
                 0.05% 
                 0.5% Techmer 
                 1% 
                 2% 
                 None 
                 2.2-2.4 
               
               
                   
                 Borealis 
                 Braskem 
                 Clariant 
                 PM PPM16466 
                 Colortech 
                 Ampacet ™ 
               
               
                   
                 WB140 
                 F020HC 
                 Hydrocerol 
                 Silica 
                 11933-19 
                 102823 
               
               
                   
                 HMS 
                   
                 CF-40E ™ 
                   
                 TiO 2 -PP 
                 Process Aid 
               
               
                 8 
                 79.95% 
                 15% 
                 0.05% 
                 2% Heritage 
                 1% 
                 2% 
                 None 
                 2.8 
               
               
                   
                 Borealis 
                 Braskem 
                 Clariant 
                 Plastics HT4HP 
                 Colortech 
                 Ampacet ™ 
               
               
                   
                 WB140 
                 F020HC 
                 Hydrocerol 
                 Talc 
                 11933-19 
                 102823 
               
               
                   
                 HMS 
                   
                 CF-40E ™ 
                   
                 TiO 2 -PP 
                 Process Aid 
               
               
                 9 
                 77.95% 
                 15% 
                 0.05% 
                 2% Heritage 
                 1% 
                 2% 
                 2% 
                 2.8 
               
               
                   
                 Borealis 
                 Braskem 
                 Clariant 
                 Plastics HT4HP 
                 Colortech 
                 Ampacet ™ 
                 Techmer 
               
               
                   
                 WB140 
                 F020HC 
                 Hydrocerol 
                 Talc 
                 11933-19 
                 102823 
                 PM 
               
               
                   
                 HMS 
                   
                 CF-40E ™ 
                   
                 TiO 2 -PP 
                 Process Aid 
                 PPM16466 
               
               
                   
                   
                   
                   
                   
                   
                   
                 Silica 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 3A 
               
             
             
               
                   
               
               
                 Trial Iterations 
               
             
          
           
               
                   
                   
                 Die 
                   
                   
                   
               
               
                 Iteration 
                 Formula 
                 Pressure 
                 Cooling 
               
               
                 # 
                 # 
                 [bar] 
                 L/min 
                 Orientation 
                 Wrinkle 
               
               
                   
               
             
          
           
               
                 1 
                 8 
                 85 
                 1500 
                 CD 
                 No 
               
               
                 2 
                 1 
                 75 
                 0 
                 MD 
                 Yes 
               
               
                 3 
                 9 
                 85 
                 1500 
                 CD 
                 No 
               
               
                 4 
                 9 
                 85 
                 1500 
                 MD 
                 No 
               
               
                 5 
                 6 
                 86 
                 1950 
                 CD 
                 Yes 
               
               
                 6 
                 6 
                 86 
                 1950 
                 MD 
                 Yes 
               
               
                 7 
                 6 
                 83 
                 1440 
                 CD 
                 No 
               
               
                 8 
                 6 
                 83 
                 1440 
                 MD 
                 No 
               
               
                 9 
                 7 
                 81 
                 2000 
                 CD 
                 No 
               
               
                 10 
                 7 
                 81 
                 2000 
                 MD 
                 No 
               
               
                 11 
                 3 
                 75 
                 0 
                 MD 
                 Yes 
               
               
                 12 
                 3 
                 75 
                 850 
                 MD 
                 Yes 
               
               
                 13 
                 2 
                 75 
                 850 
                 MD 
                 Yes 
               
               
                 14 
                 2 
                 75 
                 0 
                 MD 
                 Yes 
               
               
                 15 
                 4 
                 75 
                 0 
                 MD 
                 Yes 
               
               
                 16 
                 4 
                 75 
                 850 
                 MD 
                 Yes 
               
               
                 17 
                 5 
                 75 
                 850 
                 MD 
                 Yes 
               
               
                 18 
                 5 
                 75 
                 0 
                 MD 
                 Yes 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 3B 
               
             
             
               
                   
               
               
                 Trial Iterations (continued) 
               
             
          
           
               
                   
                   
                 Die 
                 Cool- 
                 Secondary 
                   
                   
                   
               
               
                 Iteration 
                 Formula 
                 Pressure 
                 ing 
                 Extruder 
                 CO2 
                 Orien- 
                   
               
               
                 # 
                 # 
                 [psi] 
                 L/min 
                 Temp 
                 % 
                 tation 
                 Wrinkle 
               
               
                   
               
             
          
           
               
                 19 
                 1 
                 1080-1160 
                 1900 
                 335 
                 2.2 
                 CD 
                 No 
               
               
                 20 
                 1 
                 1080-1160 
                 1900 
                 335 
                 2.2 
                 CD 
                 No 
               
               
                 21 
                 1 
                 1080-1160 
                 1900 
                 335 
                 2.2 
                 CD 
                 No 
               
               
                 22 
                 1 
                 1080-1160 
                 1900 
                 335 
                 2.2 
                 CD 
                 No 
               
               
                 23 
                 1 
                 1080-1160 
                 1900 
                 335 
                 2.2 
                 CD 
                 No 
               
               
                 24 
                 1 
                 1050 
                 1400 
                 330 
                 2.2 
                 CD 
                 Yes 
               
               
                 25 
                 1 
                 1050 
                 1400 
                 330 
                 2.2 
                 MD 
                 Yes 
               
               
                 26 
                 1 
                 1380 
                 2000 
                 330 
                 2.2 
                 MD 
                 No 
               
               
                 27 
                 1 
                 1380 
                 2000 
                 330 
                 2.2 
                 CD 
                 No 
               
               
                 28 
                 1 
                 1380 
                 2000 
                 330 
                 2.2 
                 MD 
                 No 
               
               
                 29 
                 1 
                 1050 
                 2000 
                 330 
                 2.6 
                 CD 
                 Yes 
               
               
                 30 
                 1 
                 1050 
                 2000 
                 330 
                 2.6 
                 MD 
                 Yes 
               
               
                 31 
                 1 
                 1380 
                 1400 
                 330 
                 2.6 
                 CD 
                 No 
               
               
                 32 
                 1 
                 1380 
                 1400 
                 330 
                 2.6 
                 MD 
                 No 
               
               
                 33 
                 1 
                 1050 
                 2000 
                 350 
                 2.2 
                 CD 
                 Yes 
               
               
                 34 
                 1 
                 1050 
                 2000 
                 350 
                 2.2 
                 MD 
                 Yes 
               
               
                 35 
                 1 
                 1380 
                 1400 
                 350 
                 2.2 
                 CD 
                 No 
               
               
                 36 
                 1 
                 1380 
                 1400 
                 350 
                 2.2 
                 MD 
                 No 
               
               
                 37 
                 1 
                 1380 
                 1400 
                 350 
                 2.2 
                 MD 
                 No 
               
               
                 38 
                 1 
                 1380 
                 1400 
                 350 
                 2.2 
                 MD 
                 No 
               
               
                 39 
                 1 
                 1380 
                 1400 
                 350 
                 2.2 
                 MD 
                 No 
               
               
                 40 
                 1 
                 1050 
                 1400 
                 350 
                 2.2 
                 CD  
                 Yes 
               
               
                 41 
                 1 
                 1050 
                 1400 
                 350 
                 2.2 
                 CD  
                 Yes 
               
               
                 42 
                 1 
                 1050 
                 1400 
                 350 
                 2.6 
                 CD  
                 Yes 
               
               
                 43 
                 1 
                 1050 
                 1400 
                 350 
                 2.6 
                 MD 
                 Yes 
               
               
                 44 
                 1 
                 1380 
                 2000 
                 350 
                 2.2 
                 CD  
                 No 
               
               
                 45 
                 1 
                 1380 
                 2000 
                 350 
                 2.2 
                 MD 
                 No 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 3C 
               
             
             
               
                   
               
               
                 Trial Iterations 
               
             
          
           
               
                   
                 Iteration 
                 Formula 
                 Orientation 
                 Wrinkle 
               
               
                   
                   
               
               
                   
                 46 
                 1 
                 MD 
                 No 
               
               
                   
                 47 
                 1 
                 MD 
                 No 
               
               
                   
                 48 
                 1 
                 MD 
                 Yes 
               
               
                   
                 49 
                 1 
                 CD 
                 Yes 
               
               
                   
                 50 
                 1 
                 MD 
                 No 
               
               
                   
                   
               
             
          
         
       
     
       Example 2 
     Test Method 
       [0065]    The typical testing method used for cell morphology measurement was as follows:
       1. Cut a strip of insulative cellular polypropylene-based material along the cross direction (CD) and machine direction (MD).   2. Hold the material with a flat clamp and use a razor blade to perform a fine shave.   3. Focus the microscope at 100× and adjust lighting onto the material.   4. Perform length and width measurements of each unique cell in the CD and MD orientation and record values (see,  FIG. 1 .   5. Count the number of measured unique cells and record the values (see,  FIG. 1 ).   6. Perform cell wall thickness measurements across 3-4 tangent lines to overall length of each unique cell in the CD and MD orientation and record the values (see,  FIG. 2 ).   7. Perform three overall strip thickness measurements starting from the bottom of the first measured cell group, to the middle of the cell group, to the top of the cell group (see,  FIG. 3 ).   8. Perform an overall length measurement starting from the lowest complete cell to the highest complete cell (see,  FIG. 3 ).   9. Move microscope visual field so the bottom of the most upper incomplete cell is touching the bottom of the screen.   10. Repeat steps 4-9 on each new unique cell until about 0.200″ to 0.800″ of the strip is measured. Ensure that the overall length and cell composition does not overlap. Each overall length measurement after the first measurement is taken from the top of the previous highest complete cell to the top of the current highest complete cell.       
 
         [0076]    A sheet of insulative cellular polypropylene-based material produced as described herein typically possessed a density of about 0.1615 g/cm 3  and material thickness of about 0.066 inches (1.6764 mm). 
       Example 2 
     Test Analysis 
       [0077]    All cell measurements were performed on over 7500 unique cell units from 50 different samples produced in various ways as described above. Although the maximum window view range of the Keyence digital microscope was 100 mils by 100 mils, careful attention was paid to ensure that each cell was unique and that the overall height and width of the measured strip was an average of values. A total of six (6) different dimensional parameters were measured for iterations 1-18. In one exemplary embodiment, dimensional parameters of overall strip length (L), overall strip thickness (T), and total numbers of cells in the measured strip area (n) may be classified as bulk properties because they describe an overall cell property. In another exemplary embodiment, dimensional parameters of cell length (l), cell width (w), and cell wall thickness (t) may be classified as cell properties because they describe each cell unit. A total of five (5) different dimensional parameters were measured for iterations 19-50. In one exemplary embodiment, dimensional parameters of overall strip length (L), overall strip thickness (T), and total numbers of cells in the measured strip area (n) may be classified as bulk properties because they describe an overall cell property. In another exemplary embodiment, dimensional parameters of cell length (l) and cell width (w) may be classified as cell properties because they describe each cell unit. Each set of dimensional values was separately analyzed to ascertain a correlation between bulk properties and cell properties. Cell density (p) was used to normalize each cell number value because each of the 50 iterations possessed a different number of cells per area (cells/m 2 ) due to different strip geometries. Cell density is calculated as the total number of cells in a given strip (n) divided by the overall strip length (L) and overall strip thickness (T), raised to the 3/2 power, as shown in Equation 1. Cell aspect ratio (A) is calculated as the average cell length (l) divided by the average cell width (w) of given iterations, as shown in Equation 2. 
         [0000]        p =( n/TL ) 3/2   Equation 1
 
         [0000]        A =( l/w )  Equation 2
 
         [0078]    Equation 1 transforms the units from cells per unit area (cells/in 2 ) into cells per unit volume (cells/in 3 ). Through mathematical manipulation of the denominator, the area (m 2 ) is raised to the 3/2 power to transform the dimensional property into volume with correct units (m 3 ). The same correlative effect is applied to the number of cells for consistency. Therefore, cell density is independently measured and calculated from the average bulk properties, as shown in Table 4 and Table 5. Cell properties such as cell length, cell width, and cell wall thickness are also independently measured and the average is calculated, also as shown in Table 4 and Table 5. By comparing independent values, quantitative correlations can be established to predict the occurrence of wrinkle-resistant material based solely on comparison of independent variables. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 4 
               
             
             
               
                   
               
               
                 Test Analysis Data From Iterations 1-18 
               
             
          
           
               
                   
                 Number of 
                 Strip 
                 Strip 
                 Cell 
                 Cell 
                 Cell 
                 Cell Wall 
                 Cell 
               
               
                 Iteration 
                 Cells in 
                 Length 
                 Thickness 
                 Density 
                 Length 
                 Width 
                 Thickness 
                 Aspect 
               
               
                 # 
                 Strip (cells) 
                 (mils) 
                 (mils) 
                 (cells/in 3 ) 
                 (Mils) 
                 (Mils) 
                 (Mils) 
                 Ratio 
               
               
                   
               
             
          
           
               
                 1 
                 265 
                 654.48 
                 59.05 
                 5.68 × 10 5   
                 14.22 
                 7.33 
                 0.96 
                 1.94 
               
               
                 2 
                 101 
                 521.43 
                 84.41 
                 1.10 × 10 5   
                 34.28 
                 10.87 
                 1.83 
                 3.15 
               
               
                 3 
                 398 
                 693.10 
                 60.79 
                 9.18 × 10 5   
                 11.94 
                 6.70 
                 0.78 
                 1.78 
               
               
                 4 
                 290 
                 635.96 
                 68.79 
                 5.40 × 10 5   
                 19.78 
                 6.56 
                 0.93 
                 3.02 
               
               
                 5 
                 500 
                 759.73 
                 70.83 
                 8.96 × 10 5   
                 16.43 
                 5.30 
                 0.84 
                 3.10 
               
               
                 6 
                 457 
                 692.33 
                 69.96 
                 9.16 × 10 5   
                 17.01 
                 5.22 
                 0.77 
                 3.26 
               
               
                 7 
                 281 
                 752.03 
                 66.41 
                 4.22 × 10 5   
                 18.45 
                 8.28 
                 0.96 
                 2.23 
               
               
                 8 
                 276 
                 754.69 
                 69.28 
                 3.84 × 10 5   
                 19.54 
                 8.53 
                 1.02 
                 2.29 
               
               
                 9 
                 402 
                 833.86 
                 62.49 
                 6.78 × 10 5   
                 8.09 
                 5.92 
                 0.88 
                 1.37 
               
               
                 10 
                 421 
                 833.37 
                 70.72 
                 6.04 × 10 5   
                 9.99 
                 6.17 
                 0.9 
                 1.62 
               
               
                 11 
                 39 
                 828.50 
                 50.75 
                 2.82 × 10 4   
                 60.77 
                 14.81 
                 2.40 
                 4.10 
               
               
                 12 
                 53 
                 807.00 
                 55.43 
                 4.08 × 10 4   
                 51.27 
                 12.85 
                 2.75 
                 3.99 
               
               
                 13 
                 37 
                 931.48 
                 55.28 
                 2.28 × 10 4   
                 68.52 
                 16.36 
                 2.27 
                 4.19 
               
               
                 14 
                 29 
                 802.19 
                 58.33 
                 1.54 × 10 4   
                 70.44 
                 20.80 
                 3.12 
                 3.39 
               
               
                 15 
                 21 
                 817.08 
                 64.75 
                 7.91 × 10 3   
                 86.75 
                 24.36 
                 3.43 
                 3.56 
               
               
                 16 
                 36 
                 830.59 
                 77.76 
                 1.32 × 10 4   
                 65.06 
                 19.97 
                 2.63 
                 3.26 
               
               
                 17 
                 31 
                 825.61 
                 64.22 
                 1.41 × 10 4   
                 65.00 
                 22.00 
                 2.99 
                 2.95 
               
               
                 18 
                 28 
                 832.65 
                 61.00 
                 1.29 × 10 4   
                 63.30 
                 20.71 
                 3.56 
                 3.06 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 5 
               
             
             
               
                   
               
               
                 Test Analysis Data from Iterations 19-50 
               
             
          
           
               
                   
                   
                   
                   
                 Cell 
               
               
                 Iteration 
                 Cell 
                 Cell 
                 Cell 
                 Aspect 
               
               
                 # 
                 Length 
                 Width 
                 Density 
                 Ratio 
               
               
                   
               
             
          
           
               
                 19 
                 14.73 
                 5.60 
                 6.007E+05 
                 2.63 
               
               
                 20 
                 20.72 
                 7.16 
                 4.407E+05 
                 2.89 
               
               
                 21 
                 22.04 
                 5.92 
                 4.791E+05 
                 3.72 
               
               
                 22 
                 17.95 
                 5.95 
                 6.545E+05 
                 3.02 
               
               
                 23 
                 18.41 
                 6.20 
                 5.602E+05 
                 2.97 
               
               
                 24 
                 17.02 
                 5.93 
                 910587 
                 2.87 
               
               
                 25 
                 17.48 
                 5.29 
                 971383 
                 3.30 
               
               
                 26 
                 13.04 
                 5.92 
                 1230737 
                 2.20 
               
               
                 27 
                 13.97 
                 6.34 
                 1260693 
                 2.20 
               
               
                 28 
                 13.08 
                 6.6 
                 1420564 
                 1.98 
               
               
                 29 
                 18.1 
                 5.45 
                 1099014 
                 3.32 
               
               
                 30 
                 20.74 
                 6.53 
                 728556 
                 3.18 
               
               
                 31 
                 13.2 
                 6.45 
                 1167341 
                 2.05 
               
               
                 32 
                 11.72 
                 5.87 
                 1851158 
                 2.00 
               
               
                 33 
                 16.08 
                 5.48 
                 1179837 
                 2.93 
               
               
                 34 
                 25.03 
                 6.35 
                 683270 
                 3.94 
               
               
                 35 
                 14.02 
                 6.05 
                 1215786 
                 2.32 
               
               
                 36 
                 11.54 
                 5.94 
                 1544317 
                 1.94 
               
               
                 37 
                 10.59 
                 5.46 
                 1630729 
                 1.94 
               
               
                 38 
                 10.71 
                 5.52 
                 1650454 
                 1.94 
               
               
                 39 
                 10.78 
                 6.1 
                 1713915 
                 1.77 
               
               
                 40 
                 16.14 
                 5.43 
                 1061618 
                 2.97 
               
               
                 41 
                 19 
                 5 
                 911612 
                 3.80 
               
               
                 42 
                 17.07 
                 5.26 
                 1159422 
                 3.25 
               
               
                 43 
                 20.36 
                 5.61 
                 933041 
                 3.63 
               
               
                 44 
                 14.81 
                 6.51 
                 1006006 
                 2.27 
               
               
                 45 
                 12.57 
                 6.05 
                 1405602 
                 2.08 
               
               
                 46 
                 12.99 
                 6.38 
                 1345104 
                 2.04 
               
               
                 47 
                 13.5 
                 6.03 
                 1355593 
                 2.24 
               
               
                 48 
                 21.82 
                 6.69 
                 751112.4 
                 3.26 
               
               
                 49 
                 15.74 
                 5.24 
                 1005240 
                 3.00 
               
               
                 50 
                 11.07 
                 5.31 
                 1962021 
                 2.08 
               
               
                   
               
             
          
         
       
     
       Example 2 
     Test Results 
       [0079]    By correlating cell density bulk property to cell length, cell width, and cell wall thickness cell properties, a strong correlation was found that may predict dimensional properties with respect to cell density, and subsequently cell area. The coefficient of determination (R 2 ) values produced by Microsoft Excel 2010 power law regression fit demonstrates a high degree of accuracy with regard to the validity of the fitted power law-based model. The power law has an equation form of two dependent variables, x and y, and two independent variables or constants, A and K, as shown in Equation 3 and Equation 4: 
         [0000]        y=Ax   K   Equation 3
 
         [0000]        x =( y/A ) l/K   Equation 4
 
         [0080]    In exemplary embodiments, cell density may predict cell length, cell width, and cell wall thickness with R 2  values of 0.945, 0.939, and 0.973 (see,  FIG. 14 ,  FIG. 15  and  FIG. 12 , respectively). The closer the R 2  value is to 1, the more accurate the model fit. It is generally accepted that a regression fit value greater than 0.85 demonstrates a strong quantitative correlation between two independent variables, which, in this case, are represented by bulk properties and cell properties. 
         [0081]    In exemplary embodiments, the equation for predicting cell length with respect to cell density may be y=1,243,388,528.483x −2.626 , wherein the power law constants for predicting cell length with respect to cell density are A=1,243,388,528.483 and K=−2.626. In other exemplary embodiments, the equation for predicting cell width with respect to cell density may be y=426,736,129.761x −3.417 , wherein the power law constants for predicting cell width with respect to cell density are A=426,736,129.761 and K=−3.417. In other exemplary embodiments, the equation for predicting cell wall thickness with respect to cell density may be y=448,002.648x −3.053 , wherein the power law constants for predicting cell wall thickness with respect to cell density are A=448,002.648 and K=−3.053. 
         [0082]    The data also illustrate a satisfactory range where insulative cellular polypropylene-based material possesses wrinkle resistance or lacks wrinkles altogether, as defined by Pass and Fail, where Pass means wrinkles and/or creases are not present and Fails means wrinkles and/or creases are present. As shown in  FIG. 16  and  FIG. 17 , the data can be organized in both the machine direction and cross-web direction. From interpretation of the data in  FIG. 16 , it can be seen that the aspect ratio of cells that run parallel to the circumference (i.e., in the MD, machine direction) may not only play an important role in determining wrinkle resistance, but a more important role than that of either cell density or the aspect ratio of cells running perpendicular to the circumference (i.e., in the CD, cross direction, as shown in  FIG. 17 ). 
         [0083]    In exemplary embodiments (see,  FIG. 16 ), insulative cellular polypropylene-based material that possesses a cell aspect ratio in the MD direction of less than about 2.75 may not wrinkle when convoluted into an article, such as an insulative cup. Illustratively, insulative cellular polypropylene-based material that possesses a cell aspect ratio in the MD direction of 2.5 or less may not wrinkle when convoluted into an article, such as an insulative cup. In other exemplary embodiments (see,  FIG. 17 ), insulative cellular polypropylene-based material that possesses a cell aspect ratio in the CD direction of less than about 2.75 may not wrinkle when convoluted into an article, such as an insulative cup. Illustratively, insulative cellular polypropylene-based material that possesses a cell aspect ratio in the CD direction of 2.5 or less may not wrinkle when convoluted into an article, such as an insulative cup. In other exemplary embodiments (see,  FIG. 17 ), insulative cellular polypropylene-based material that possesses a cell aspect ratio in the CD direction of about 2.75 to about 4.00 and a cell density of about 300,000 cells/in 3  to about 900,000 cells/in 3  may not wrinkle when convoluted into an article, such as an insulative cup. In other exemplary embodiments (see,  FIG. 16 ), insulative cellular polypropylene-based material that possesses a cell aspect ratio in the MD direction of about 2.75 to about 3.5 and a cell density of about 300,000 cells/in 3  to about 700,000 cells/in 3  may not wrinkle when convoluted into an article, such as an insulative cup. 
         [0084]    The cell prediction model accurately describes cell growth in the cell width, cell length, and cell wall thickness category and possesses power law functionality, similarly to that seen in many natural phenomena. By taking on a log-log plot form, the correlation is unexpectedly a straight line that penetrates near or through all data points with accuracy. This development provides further evidence for power law correlation and subsequently the ability to model and predict cell growth, as shown in  FIGS. 8-13 . 
         [0085]    As presaged by the wrinkle-resistant versus micro-creasing/macro-creasing results shown in  FIG. 4-7 , and as summarily illustrated in  FIG. 16  and  FIG. 17 , the present disclosure permits the identification of a control range with respect to cell aspect ratio and cell density, which range permits the manufacture of insulative cups that do not wrinkle and/or crease.  FIG. 16  illustrates cell densities in a (cup) convolution process as a function of cell aspect ratio in the machine direction, whereas  FIG. 17  illustrates cell densities in a (cup) convolution process as a function of cell aspect ratio in the cross direction. In  FIG. 16  and  FIG. 17 , cell densities that Pass are tolerated without the onset of wrinkling and/or creasing during cup convolution. Conversely, cell densities in  FIG. 16  and  FIG. 17  that are associated with wrinkling and/or creasing during cup convolution, i.e., that Fail, result in micro-creasing and/or macro-creasing, where micro-creasing and/or macro-creasing are defined as follows: 
         [0000]    Micro-Creasing defines small creases inside the cup found in the middle, top, and especially bottom areas; they are generally ¼″ to ½″ in length and near invisible to the eye unless you look for them.
 
Macro-Creasing defines large creases inside the cup that run all the way from the bottom to top or tangent to the cup; they are generally cup-length and very visible to the eye.
 
         [0086]    Although only a number of exemplary embodiments of the present disclosure have been described in detail above, those skilled in the art will readily appreciate that many modifications are possible in the exemplary embodiments without materially departing from the novel teachings and advantages. Accordingly, all such modifications are intended to be included within the scope of this disclosure as defined in the following claims. 
         [0087]    As used in the specification and the appended claims, the singular forms “a,” “an” and “the” include plural referents unless the context clearly dictates otherwise. Ranges may be expressed herein as from “about” one particular value, and/or to “about” another particular value. When such a range is expressed, another embodiment includes from the one particular value and/or to the other particular value. Similarly, when values are expressed as approximations, by use of the antecedent “about,” it will be understood that the particular value forms another embodiment. It will be further understood that the endpoints of each of the ranges are significant both in relation to the other endpoint, and independently of the other endpoint. 
         [0088]    “Optional” or “optionally” means that the subsequently described event or circumstance may or may not occur, and that the description includes instances where said event or circumstance occurs and instances where it does not. 
         [0089]    Throughout the description and claims of this specification, the word “comprise” and variations of the word, such as “comprising” and “comprises,” means “including but not limited to,” and is not intended to exclude, for example, other additives, components, integers or steps. “Exemplary” means “an example of” and is not intended to convey an indication of a preferred or ideal embodiment. “Such as” is not used in a restrictive sense, but for explanatory purposes. 
         [0090]    Disclosed are components that can be used to perform the disclosed methods and prepare the disclosed materials. These and other components are disclosed herein, and it is understood when combinations, subsets, interactions, groups, etc. of these components are disclosed that while specific reference of each various individual and collective combinations and permutation of these may not be explicitly disclosed, each is specifically contemplated and described herein, for all methods and materials. This applies to all aspects of this application including, but not limited to, steps in disclosed methods. Thus, if there are a variety of additional steps that can be performed, it is understood that each of these additional steps can be performed with any specific embodiment or combination of embodiments of the disclosed methods. 
         [0091]    It will be apparent to those skilled in the art that various modifications and variations can be made without departing from the scope or spirit of the present disclosure. Other embodiments will be apparent to those skilled in the art from consideration of the specification and practice disclosed herein. It is intended that the specification and examples be considered as exemplary only.