Abstract:
A method and system for detecting edge cracks of an element of a sheet metal product is provided. The method includes calculating a first stress associated with a forming process employing a first die; calculating a second stress associated with a finishing process employing a second die; combining the first stress and the second stress to formulate a total stress; simulating the sheet metal product to produce a benchmark stress; and comparing the total stress and the benchmark stress to determine if the element predictively contains edge cracks.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
       [0001]    This U.S. National Stage Patent Application claims the benefit of PCT International Patent Application Ser. No. PCT/US2014/038318 filed May 20, 2014 entitled “Detecting Edge Crack,” which claims the benefit of U.S. Provisional Patent Application Ser. No. 61/825,143 filed May 20, 2013, entitled “Detecting Edge Cracks,” the entire disclosures of the applications being considered part of the disclosure of this application and hereby incorporated by reference. 
     
    
     BACKGROUND 
       [0002]    Computer aided design (CAD) allows a designer of a product to simulate the product based on various mathematical parameters. For example, employing CAD to design a product, the designer may be cognizant of various external factors or parameters with the materials incorporated with the product. Computer Aided Engineering (CAE) simulates the CAD model using these factors to subsequently ascertain whether the product will work in a prescribed fashion. 
         [0003]    In the production of a metal based product composed of sheet metal, various dies may be employed to create a finished product. The sheet metal dies allow machines to cut, bend and form (i.e. stretch/compress) the sheet metal to ultimately create the finished product. For example, sheet metal may be used to create a side door or panel of an automobile. 
         [0004]    The finished product may be created as a result of multiple dies. For example, a piece of sheet metal may be cut as a template. Subsequently, various pieces on the edge of the sheet metal may be cut to pattern and form the finished product to a desired shape. 
         [0005]    In using sheet metal for a specific application, such as a side or door of an automobile, various aspects of the finished product may be desired. For example, there may be a demand for a thin and light-weight door of an automobile. However, if the door is fabricated to be too thin, the door becomes susceptible to cracking or breaking Further, in various automobile standards, a requirement has been mandated that dictates that various metal surfaces bend on contact, instead of crack. Thus, if the sheet metal used for the metal surface of an automobile is too thin, the metal surface of the automobile may crack on contact. 
       SUMMARY 
       [0006]    A method and system for detecting edge cracks of an element of a sheet metal product is provided. The method includes calculating a first stress associated with a forming process employing a first die; calculating a second stress associated with a finishing process employing a second die; combining the first stress and the second stress to formulate a total stress; simulating the sheet metal product to produce a benchmark stress; and comparing the total stress and the benchmark stress to determine if the element predictively contains edge cracks. 
     
    
     
       DESCRIPTION OF THE DRAWINGS 
         [0007]    The detailed description refers to the following drawings, in which like numerals refer to like items, and in which: 
           [0008]      FIG. 1  is a block diagram illustrating an example computer. 
           [0009]      FIGS. 2( a ), 2( b ), and 2( c )  illustrate an example of a fabrication of a finished product. 
           [0010]      FIG. 3  illustrates an example of a method for detecting edge cracks. 
           [0011]      FIG. 4  illustrates a graph depicting a strain based forming limit diagram. 
           [0012]      FIG. 5  illustrates a graphical example of method described in  FIG. 3  as applied to a sample edge element of a finished product employing sheet metal. 
       
    
    
     DETAILED DESCRIPTION 
       [0013]    Finished products employing sheet metal are created through various fabrication techniques. One such technique is the use of dies to manipulate the sheet metal to result in different shapes and sizes. The sheet metal die allows a sheet metal stamp to apply pressure on the sheet metal to cut, bend, stretch and manipulate the sheet metal. 
         [0014]    Prior to producing the finished product, a CAE program may be employed to simulate various aspects of the finished product. Thus, a designer of the finished product may emulate the finished product via the CAE program. The finished product, and the materials used to create the finished product (such as sheet metal) may be represented via mathematical and numerical parameters. For example, the size, composite materials and density may be attributed to the various materials used to create the finished product. 
         [0015]    Thus, using the CAE program, various situations may be predictively analyzed with the finished product. For example, if the finished product is made of sheet metal, the CAE program may be able simulate whether the sheet metal bends or cracks when sourced from sheet metal of a specific thickness. 
         [0016]    However, because the predictive analysis made by the CAE program is based on a model, several factors associated with the production and properties of the sheet metal may be omitted. Thus, the predicted thinness may not be wholly accurate. Further, edge cracking may occur because a CAE program may omit issues that lead to edge cracking. 
         [0017]    Disclosed herein are systems and methods for detecting edge cracking. The systems and methods disclosed herein employ predictive models associated with each of a plurality of dies, and amalgamate the predictive models via techniques disclosed herein. Thus, by predictively analyzing the finished product with a factor per die used to fabricate the finished product, edge cracking associated with sheet metal that constitutes the finished product may effectively be lessened. 
         [0018]      FIG. 1  is a block diagram illustrating an example computer  100 . The computer  100  includes at least one processor  102  coupled to a chipset  104 . The chipset  104  includes a memory controller hub  120  and an input/output (I/O) controller hub  122 . A memory  106  and a graphics adapter  112  are coupled to the memory controller hub  120 , and a display  118  is coupled to the graphics adapter  112 . A storage device  108 , keyboard  110 , pointing device  114 , and network adapter  116  are coupled to the I/O controller hub  122 . Other embodiments of the computer  100  may have different architectures. 
         [0019]    The storage device  108  is a non-transitory computer-readable storage medium such as a hard drive, compact disk read-only memory (CD-ROM), DVD, or a solid-state memory device. The memory  106  holds instructions and data used by the processor  102 . The pointing device  114  is a mouse, track ball, or other type of pointing device, and is used in combination with the keyboard  110  to input data into the computer system  100 . The graphics adapter  112  displays images and other information on the display  118 . The network adapter  116  couples the computer system  100  to one or more computer networks. 
         [0020]    The computer  100  is adapted to execute computer program modules for providing functionality described herein. As used herein, the term “module” refers to computer program logic used to provide the specified functionality. Thus, a module can be implemented in hardware, firmware, and/or software. In one embodiment, program modules are stored on the storage device  108 , loaded into the memory  106 , and executed by the processor  102 . 
         [0021]    The types of computers used by the entities and processes disclosed herein can vary depending upon the embodiment and the processing power required by the entity. The computer  100  may be a mobile device, tablet, smartphone or any sort of computing element with the above-listed elements. For example, a video corpus, such as a hard disk, solid-state memory or storage device, might be stored in a distributed database system comprising multiple blade servers working together to provide the functionality described herein. The computers can lack some of the components described above, such as keyboards  110 , graphics adapters  112 , and displays  118 . 
         [0022]      FIGS. 2( a ), 2( b ), and 2( c )  illustrate an example of a fabrication of a finished product. In  FIGS. 2( a ), 2( b ), and 2( c ) , a sheet metal  200  is manipulated with the use of a die  210 . The sheet metal  200  is cut at an angle with die  210 , thereby leading to an angled edge, which is shown in  FIG. 2( c ) . 
         [0023]    Referring to  FIG. 2( a ) , a trimming operation of the fabrication is shown. The sheet metal  200  is placed on the die  210 . A pad  211  is placed on an opposing surface of the sheet metal  200  to the surface in contact with the die  210 . 
         [0024]    The sheet metal  200 , the die  210 , and the pad  211  are angled at a trim angle  212 . The trim angle  212  may be set based on a specific trim orientation desired for an edge of the sheet metal. A punch  213  is provided. In response to pressure being applied to the punch  213 , an operation of cutting the sheet metal  200  is performed. 
         [0025]    Referring to  FIG. 2( b ) , an example of employing punch  213  is shown. An amount of pressure is placed on the punch  213 , which is then transferred onto the sheet metal  200 . The result is that the sheet metal  200  is cut and trimmed to form the finished product. 
         [0026]    Referring to  FIG. 2( c ) , the sheet metal  200  in a die-cut form is shown. The resultant sheet metal  200  has a middle region  220  and a die cut edge  221 . 
         [0027]      FIGS. 2( a )-( c )  illustrate an example of employing a die to cut and trim sheet metal  200  to result into a finished product. The various parameters discussed in  FIGS. 2( a )-( c ) , such as, the trim angle  212 , the die  210 , the amount of pressure for punch  213  may be employed in a CAE program to simulate and predictively analyze various phenomena associated with the fabrication of a finished product using sheet metal. 
         [0028]      FIG. 3  illustrates an example of a method  300  for detecting edge cracks. The method  300  may be implemented on a system or a device, such as computer  100  described above. In method  300 , after each operation, the data produced may be stored in a database, such as storage device  108 . 
         [0029]    In operation  310 , a formability shell element simulation is performed on a first die used to produce the finished product. The first die used may be associated with various parameters. The various parameters, based on the manipulation associated with the first die, in operation  310  may be employed to determine stress and other forces applied to the finished product by the first die. At this juncture, a first-level approximation of the stresses associated with the finished product may be ascertained. 
         [0030]    In operation  320 , the sheet metal formed using the first die, is demarcated into various edge elements. Each edge element may be created employing a second die. Thus, each edge element may have particular parameters, such as a trim angle and shear angle associated with the edge element&#39;s formation. 
         [0031]    In operation  330 , after each edge element&#39;s parameters have been ascertained, a CAE is performed on the edge elements. Because a second die may be used to perform the trimming of the edges, the CAE analysis may refer to a database that categorizes the stresses introduced by the employment of the second die with the particular sheet metal, trim angle and shear angle. 
         [0032]    Based on the CAE analysis performed, a solid element deviatoric flow stress (SEDFS) may be calculated for each edge element. The relationship is defined as the following: 
         [0000]      δSEDFS=√(3/2) δ′→(a negative value)
       wherein:   δ_SEDFS is the solid element deviatoric flow stress; and   δ′ is the deviatoric stress at an intersection of a mid-surface and the die-cut edge after the sheet metal is cut with the first die.       
 
         [0036]    In operation  340 , the extracted edge elements derived in operation  320  undergo an edge stress analysis to determine an edge element effective flow stress (EFFFS). Essentially, secondary dies used after the first die are modeled to determine an estimated strain placed on the sheet metal. The relationship is defined as the following: 
         [0000]      δ_EFFFS= f (ε_EdgeElement)
       wherein:   δ_EFFFS is edge element effective flow stress;   ε_EdgeElement is the true principle major, minor and thinning strains of an edge element (as derived from models for secondary dies used after the first die); and   f( )is a function that translates the strain value to a stress value.       
 
         [0041]    In operation  350 , the edge element total stress (EETS) is calculated. This relationship is defined as: 
         [0000]      δ_EETS=δ_EFFFS−δ_SEDFS
       wherein:   δ_EETS is edge element effective flow stress.       
 
         [0044]    In a parallel branch of method  300  after operation  310  (operation  360 ), the effective stress for a failure associated with the uniaxial tensile test applied to the finished product is calculated. In order to calculate the effective stress, a strain based forming limit diagram may be employed. This process is described further in the detailed explanation for  FIG. 4 . 
         [0045]    In operation  370 , the δ_EETS calculated in operation  360  is compared against the value calculated in operation  360 . Operation  370  may be performed recursively for each edge element extracted in operation  320 . If the δ_EETS is greater than the value calculated in operation  320 , the method  300  proceeds to operation  380 . Conversely, if the δ_EETS is less than the value calculated in operation  320 , the method  300  proceeds to operation  390 . 
         [0046]    In operation  380 , an indication is made that an edge crack is predicted. Conversely, in operation  390 , an indication is made that the edges of the finished product are safe. 
         [0047]      FIG. 4  illustrates a graph  400  depicting a strain based forming limit diagram. The graph  400  may be employed to ascertain the effective stress of operation  360  (of method  300 ). The graph  400  is created for the sheet metal employed to create the finished product analyzed in method  300 . 
         [0048]    The x-axis  410  of graph  400  represents the minor strain, and the y-axis  420  represents the major strain. The y-axis  420  represents the stretching and compressing strains associated with one direction, and the x-axis  420  represents the resultant strain in another direction. 
         [0049]    The graph  400  has two curves, the strain based forming limit curve (FLC)  430  and the uniaxial tension curve  440 . The uniaxial tension curve  440  represents a tensile test associated with a specific finished product. The tensile test may be simulated or calculated via the CAE program. The strain based FLC  430  represents a curve denoting the maximum strains associated with a particular sheet metal. 
         [0050]    From the curves plotted on graph  400 , an intersection point  450  indicates a calculated maximum strain associated with the finished product. Using a conversion from strain to stress, the stress may be calculated as well. This stress value may be employed as the effective stress used in operation  360 . 
         [0051]      FIG. 5  illustrates a graphical example of method  300  (graph  500 ) as applied to a sample edge element of a finished product including sheet metal. In  FIG. 5 , a stress failure limit  510  (as calculated in operation  360 ) is shown. In the example shown, the stress failure limit  510  is approximately  1400  megapascals (or any unit of measure used to measure stress). In the region  520  above the limit  510 , an edge crack is predicted. In the region  530  below the limit  510 , the element in question is safe from edge cracks. 
         [0052]    In the example shown, the element has an δ_EFFFS  540  below the limit  510 . However, when coupled with an δ_SEDFS  550  associated with the element, the resultant δ_EETS  560  is above the limit  510 . Thus, in the example shown in  FIG. 5 , the element in question may be predictively analyzed as resulting in an edge crack. 
         [0053]    Certain of the devices shown in  FIG. 1  include a computing system. The computing system includes a processor (CPU) and a system bus that couples various system components including a system memory such as read only memory (ROM) and random access memory (RAM), to the processor. Other system memory may be available for use as well. The computing system may include more than one processor or a group or cluster of computing system networked together to provide greater processing capability. The system bus may be any of several types of bus structures including a memory bus or memory controller, a peripheral bus, and a local bus using any of a variety of bus architectures. A basic input/output (BIOS) stored in the ROM or the like, may provide basic routines that help to transfer information between elements within the computing system, such as during start-up. The computing system further includes data stores, which maintain a database according to known database management systems. The data stores may be embodied in many forms, such as a hard disk drive, a magnetic disk drive, an optical disk drive, tape drive, or another type of computer readable media which can store data that are accessible by the processor, such as magnetic cassettes, flash memory cards, digital versatile disks, cartridges, random access memories (RAMs) and, read only memory (ROM). The data stores may be connected to the system bus by a drive interface. The data stores provide nonvolatile storage of computer readable instructions, data structures, program modules and other data for the computing system. 
         [0054]    To enable human (and in some instances, machine) user interaction, the computing system may include an input device, such as a microphone for speech and audio, a touch sensitive screen for gesture or graphical input, keyboard, mouse, motion input, and so forth. An output device can include one or more of a number of output mechanisms. In some instances, multimodal systems enable a user to provide multiple types of input to communicate with the computing system. A communications interface generally enables the computing device system to communicate with one or more other computing devices using various communication and network protocols. 
         [0055]    The preceding disclosure refers to a number of flow charts and accompanying descriptions to illustrate the embodiments represented in  FIG. 3 . The disclosed devices, components, and systems contemplate using or implementing any suitable technique for performing the steps illustrated in these figures. Thus,  FIG. 3  is for illustration purposes only and the described or similar steps may be performed at any appropriate time, including concurrently, individually, or in combination. In addition, many of the steps in these flow charts may take place simultaneously and/or in different orders than as shown and described. Moreover, the disclosed systems may use processes and methods with additional, fewer, and/or different steps. 
         [0056]    Embodiments disclosed herein can be implemented in digital electronic circuitry, or in computer software, firmware, or hardware, including the herein disclosed structures and their equivalents. Some embodiments can be implemented as one or more computer programs, i.e., one or more modules of computer program instructions, encoded on a tangible computer storage medium for execution by one or more processors. A computer storage medium can be, or can be included in, a computer-readable storage device, a computer-readable storage substrate, or a random or serial access memory. The computer storage medium can also be, or can be included in, one or more separate tangible components or media such as multiple CDs, disks, or other storage devices. The computer storage medium does not include a transitory signal. 
         [0057]    As used herein, the term processor encompasses all kinds of apparatus, devices, and machines for processing data, including by way of example a programmable processor, a computer, a system on a chip, or multiple ones, or combinations, of the foregoing. The processor can include special purpose logic circuitry, e.g., an FPGA (field programmable gate array) or an ASIC (application-specific integrated circuit). The processor also can include, in addition to hardware, code that creates an execution environment for the computer program in question, e.g., code that constitutes processor firmware, a protocol stack, a database management system, an operating system, a cross-platform runtime environment, a virtual machine, or a combination of one or more of them. 
         [0058]    A computer program (also known as a program, module, engine, software, software application, script, or code) can be written in any form of programming language, including compiled or interpreted languages, declarative or procedural languages, and the program can be deployed in any form, including as a stand-alone program or as a module, component, subroutine, object, or other unit suitable for use in a computing environment. A computer program may, but need not, correspond to a file in a file system. A program can be stored in a portion of a file that holds other programs or data (e.g., one or more scripts stored in a markup language document), in a single file dedicated to the program in question, or in multiple coordinated files (e.g., files that store one or more modules, sub-programs, or portions of code). A computer program can be deployed to be executed on one computer or on multiple computers that are located at one site or distributed across multiple sites and interconnected by a communication network. 
         [0059]    To provide for interaction with an individual, the herein disclosed embodiments can be implemented using an interactive display, such as a graphical user interface (GUI). Such GUI&#39;s may include interactive features such as pop-up or pull-down menus or lists, selection tabs, scannable features, and other features that can receive human inputs. 
         [0060]    The computing system disclosed herein can include clients and servers. A client and server are generally remote from each other and typically interact through a communications network. The relationship of client and server arises by virtue of computer programs running on the respective computers and having a client-server relationship to each other. In some embodiments, a server transmits data (e.g., an HTML page) to a client device (e.g., for purposes of displaying data to and receiving user input from a user interacting with the client device). Data generated at the client device (e.g., a result of the user interaction) can be received from the client device at the server.