# Effects of Friction Plate Hardness and Surface Orientation on the Frictional Properties of Cereal Grain

Authors: Zdzisław Kaliniewicz; Krzysztof Jadwisieńczak; Zbigniew Żuk; Stanisław Konopka; Adam Frączyk; Zbigniew Krzysiak
Journal: International Journal of Food Science
 (2020)

---

## Abstract

The objective of this study was to evaluate the effects of the friction plate hardness and surface orientation of a friction plate on the angle and coefficient of static friction of cereal kernels. The angle of static friction of kernels representing four major cereal species was measured on six friction plates with different hardness. The friction plates were placed in position where their surface orientation was perpendicular or parallel relative to their inclination tilt. The experimental material comprised the so-called flat seed units, where each unit consisted of three spaced kernels. The angle of static friction of every flat seed unit was measured with a dedicated device in three replications, and average values of that angle were calculated. The kernels’ angle of static friction varied considerably from 13° to 33° within the analyzed range of changes in the surface characteristics of friction plates. The average angle of static friction was influenced mainly by the surface orientation of the friction plate that came into contact with cereal kernels. The angle of static friction was 17.5% to 56.5% higher when the friction plate had perpendicular rather than parallel surface orientation. The frictional properties of kernels were less influenced by plate hardness, and clear relationships were not observed in this respect. The kernels’ coefficient of static friction remained fairly constant within the analyzed range of plate hardness values, and it was estimated at 0.4 on plates with a perpendicular surface orientation and at 0.3 on plates with a parallel surface orientation.


---

## Body

## 1. Introduction

Cereal grain is widely used in the production of food and feed on account of its high starch and protein content. It is an important raw material in numerous industries, in particular in the production of flour, grits, breakfast cereals, alcoholic beverages, and pharmaceutical products. The properties of cereal grain and the variations and correlations between those traits have to be researched to optimize food and feed production processes. The frictional properties of grain should also be investigated to improve seed movement characteristics in processes where grain is transported [1–3].Friction leads to the dissipation of energy during the mutual displacement of two objects in contact. These objects have uneven surfaces that tug on each other, causing deformation and wear [2, 4].Numerous theories have been developed to explain selected aspects of friction which is a highly complex process [4]. The theory developed by Frączek [1] proposed a detailed and comprehensive procedure for describing the friction phenomena in biological granular material. According to Frączek and other authors [1–4], friction combines three interconnected forces: deformation, adhesion, and cohesion, where adhesion plays a major role in biological granular materials. Frączek [1] concluded that friction is difficult to interpret because it is influenced by the properties of materials that come into mutual contact, contact time, including surface roughness, the real area of contact, and seed hardness. Similar definitions of friction have been proposed by other authors, including Molenda and Horabik [5], Afzalinia and Roberge [2], Baum et al. [6], Popov [4], and Weber et al. [7].Frączek [1] postulated that the frictional properties of seeds are determined by the geometric structure of the friction plate and the surface roughness of plant materials. According to Kaliniewicz and Żuk [8] and Kaliniewicz et al. [9], certain plate roughness values can contribute to a considerable increase in the coefficient of friction of cereal grains, which can be attributed to adhesive contact between the kernel surface and the plate surface asperities. The adhesion is lowest when surface roughness approximates Ra=0.9 μm. Therefore, the surface roughness of machines and devices that come into contact with the transported grain should approximate the above value. However, the influence of a friction plate’s surface orientation and hardness on the frictional properties of seeds has not been investigated to date. Plate hardness does not appear to exert a practically significant effect on the hardness of cereal kernels [1, 4], but seed transport operations lead to surface abrasion in the long term. This observation could suggest that the hardness of structural materials can significantly influence the frictional properties of seeds.The objective of this study was to evaluate the impact of the hardness and surface orientation of a steel friction plate on the angle and coefficient of static friction of kernels and to provide data for modeling and conducting grain processing operations.


## 2. Materials and Methods

### 2.1. Preparation of Steel Plate Specimens

Seeds undergo numerous processing operations between harvest and sowing or processing, and they come into contact with the structural elements of processing equipment. The components of most seed processing machines are made of steel alloys with different hardness characteristics. In this study, the analyzed plates were made of 41Cr4 steel whose strength parameters can be controlled and modified through heat treatment. Therefore, six samples measuring50×30 mm each were cut out from a rolled steel sheet with a thickness of 5 mm. The samples were placed in the Nabertherm LH15/114 chamber furnace (Nabertherm GmbH Lilienthal, Germany) and were austenized at a temperature of 850°C for 10 minutes. The austenized samples were hardened by immersion in water until they were completely cooled. One sample was set aside, and the remaining samples were tempered at different temperatures (200°C, 300°C, 400°C, 500°C, and 600°C) in an electric furnace for 1 hour. The tempered samples were immersed in water until they were completely cooled. Each sample was ground on one side with the SPC 20b surface grinder (PPHU Metalex Jarosław Kucharski, Bydgoszcz, Poland) to obtain samples with similar surface roughness and to remove carbonized material. A grinding disc with a diameter of 250 mm and thickness of 25 mm was used (38A 60 KVBE). The samples were ground along the longer side to a cutting depth of 0.02 mm. Hardness was measured with the HPO 250 hardness tester (WPM Leipzig, Germany) at three randomly selected points on the ground surface at 300 N (HV30) load. Surface roughness was determined with the Diavite DH-5 surface roughness meter (Diavite AG Bülach, Switzerland) by measuring parameter Ra in a direction parallel and perpendicular to the surface orientation. The measurements were conducted in three replicates. The samples were used as friction plates to measure the angle of static friction of kernels. After the measurements, metallographic specimens were cut out from plate cross-sections and were used to describe the crystal structure of each phase. The specimens were ground with abrasive paper with increasing grit size: P100, P150, P220, P280, P320, and P600, and they were polished with DiaoDuo diamond suspension and MD Largo, MD Dac, and MD Chem discs (Struers A/S Ballerup, Denmark). The resulting surfaces were digested with 3% nitric acid, and the exposed microstructure was analyzed under the Olympus IX M light microscope (Olympus Corporation, Tokyo, Japan) at 400x magnification.


### 2.2. Preparation of Seed Samples

The experimental material comprised kernels of four major cereal species and cultivars that are widely grown in Poland: barley cv.Irina, oats cv. Komfort, rye cv. Dańkowskie Granat, and wheat cv. Artist. The grain of every cereal species was harvested in 2017 with a combined harvester in the northern Poland region. To achieve and maintain the desired moisture content, preliminary grain samples of 2 kg each were uniformly spread in containers and stored for 2 months in a closed compartment at a constant temperature of around 22°C. After storage, 50 seeds of each cereal species were selected by survey sampling. The physical properties of seeds, including basic dimensions and mass, were determined. In each of the 12 experimental variants (6hardnessvariants×2surfaceorientationvariants), 50 flat seed units (Figure 1) were used to determine the angle of static friction. A flat seed unit consisted of seeds placed crease down on the friction plate. The three seeds in each flat seed unit were spread out, and the geometric center of each unit was localized at the vertex of an equilateral triangle with side length equivalent to around two average seed lengths. The seeds were combined with adhesive tape. Three seed samples of 200 g each were obtained from the remaining bulk of each cereal species for moisture content analysis.Figure 1
Flat seed unit [9]: 1: seed; 2: adhesive tape; S: seed dimension.


### 2.3. Physical Properties of Kernels

The geometric properties and the mass of cereal kernels were specified according to the method proposed by Kaliniewicz and Żuk [8]. Kernel length L and kernel width W were gauged using a workshop microscope (MWM 2325, PZO Warszawa, Poland; resolution: 0.01 mm). Kernel thickness T was measured with a dial indicator thickness gauge (MasterTools, Cracow, Poland; resolution: 0.01 mm). Kernel mass was measured to the nearest 0.1 mg on a weighing scale (WAA 100/C/2, Radwag Radom, Poland). The indicators (aspect ratio R, geometric mean diameter D, and sphericity index Φ) of every seed were calculated using known formulas [9].The angle of static frictionγ of kernels was measured with a test instrument (Figure 2) equipped with photosensors [8–10]. Friction plates made of 41Cr4 steel were mounted on an adjustable arm of the above instrument near the photosensor. The plates were arranged in two positions: with the surface orientation parallel and perpendicular relative to their inclination tilt, i.e., in the direction of the motion of the flat seed unit. The measurement began by placing the arm of the instrument in a horizontal position. Every flat seed unit was placed directly above the light beam emitted by the optical system, and its tip was oriented downward the friction plate. The instrument was activated, and the angle of the adjustable arm was gradually changed until the flat seed unit was set into motion and the light beam was interrupted. The adjustable arm was paused, and its angle was read with a precision of 0.01°. Each flat seed unit was gauged in three replicates, and mean values were calculated. After each series of measurements conducted on 5 flat seed units, the surface of the friction plate was wiped with a cotton swab damped in petroleum ether to remove cutin residues.Figure 2
Test stand for measuring the external friction angle of seeds: 1: computer; 2: CPU (central processing unit) converter; 3: stepper motor lifting the arm of the instrument; 4: arm; 5: base of the instrument; 6: friction plate; 7: light receiver; 8: seed; 9: light emitter; 10: LSD display; 11: switch for manually controlling the arm of the instrument; 12: status diode light (on or off); 13: main on/off switch.The coefficient of static frictionμ of every seed in the tested positions relative to the surface orientation of the friction plate was calculated with the use of the below formula [4]:
(1)μ=tanγ.The relative moisture content of grain was measured with a halogen moisture analyzer fitted (MAX 5-/WH, Radwag Radom, Poland).


### 2.4. Statistical Analysis

The measured angles of static friction were analyzed using Statistica Pl v. 13.3 software (StatSoft Polska Sp. z o.o., Kraków, Poland). Differences in the measured values were determined by ANOVA based on the results of the Shapiro-WilkW test, Levene’s test, and Duncan’s test. The results were regarded as significant at α=0.05.


## 2.1. Preparation of Steel Plate Specimens

Seeds undergo numerous processing operations between harvest and sowing or processing, and they come into contact with the structural elements of processing equipment. The components of most seed processing machines are made of steel alloys with different hardness characteristics. In this study, the analyzed plates were made of 41Cr4 steel whose strength parameters can be controlled and modified through heat treatment. Therefore, six samples measuring50×30 mm each were cut out from a rolled steel sheet with a thickness of 5 mm. The samples were placed in the Nabertherm LH15/114 chamber furnace (Nabertherm GmbH Lilienthal, Germany) and were austenized at a temperature of 850°C for 10 minutes. The austenized samples were hardened by immersion in water until they were completely cooled. One sample was set aside, and the remaining samples were tempered at different temperatures (200°C, 300°C, 400°C, 500°C, and 600°C) in an electric furnace for 1 hour. The tempered samples were immersed in water until they were completely cooled. Each sample was ground on one side with the SPC 20b surface grinder (PPHU Metalex Jarosław Kucharski, Bydgoszcz, Poland) to obtain samples with similar surface roughness and to remove carbonized material. A grinding disc with a diameter of 250 mm and thickness of 25 mm was used (38A 60 KVBE). The samples were ground along the longer side to a cutting depth of 0.02 mm. Hardness was measured with the HPO 250 hardness tester (WPM Leipzig, Germany) at three randomly selected points on the ground surface at 300 N (HV30) load. Surface roughness was determined with the Diavite DH-5 surface roughness meter (Diavite AG Bülach, Switzerland) by measuring parameter Ra in a direction parallel and perpendicular to the surface orientation. The measurements were conducted in three replicates. The samples were used as friction plates to measure the angle of static friction of kernels. After the measurements, metallographic specimens were cut out from plate cross-sections and were used to describe the crystal structure of each phase. The specimens were ground with abrasive paper with increasing grit size: P100, P150, P220, P280, P320, and P600, and they were polished with DiaoDuo diamond suspension and MD Largo, MD Dac, and MD Chem discs (Struers A/S Ballerup, Denmark). The resulting surfaces were digested with 3% nitric acid, and the exposed microstructure was analyzed under the Olympus IX M light microscope (Olympus Corporation, Tokyo, Japan) at 400x magnification.


## 2.2. Preparation of Seed Samples

The experimental material comprised kernels of four major cereal species and cultivars that are widely grown in Poland: barley cv.Irina, oats cv. Komfort, rye cv. Dańkowskie Granat, and wheat cv. Artist. The grain of every cereal species was harvested in 2017 with a combined harvester in the northern Poland region. To achieve and maintain the desired moisture content, preliminary grain samples of 2 kg each were uniformly spread in containers and stored for 2 months in a closed compartment at a constant temperature of around 22°C. After storage, 50 seeds of each cereal species were selected by survey sampling. The physical properties of seeds, including basic dimensions and mass, were determined. In each of the 12 experimental variants (6hardnessvariants×2surfaceorientationvariants), 50 flat seed units (Figure 1) were used to determine the angle of static friction. A flat seed unit consisted of seeds placed crease down on the friction plate. The three seeds in each flat seed unit were spread out, and the geometric center of each unit was localized at the vertex of an equilateral triangle with side length equivalent to around two average seed lengths. The seeds were combined with adhesive tape. Three seed samples of 200 g each were obtained from the remaining bulk of each cereal species for moisture content analysis.Figure 1
Flat seed unit [9]: 1: seed; 2: adhesive tape; S: seed dimension.


## 2.3. Physical Properties of Kernels

The geometric properties and the mass of cereal kernels were specified according to the method proposed by Kaliniewicz and Żuk [8]. Kernel length L and kernel width W were gauged using a workshop microscope (MWM 2325, PZO Warszawa, Poland; resolution: 0.01 mm). Kernel thickness T was measured with a dial indicator thickness gauge (MasterTools, Cracow, Poland; resolution: 0.01 mm). Kernel mass was measured to the nearest 0.1 mg on a weighing scale (WAA 100/C/2, Radwag Radom, Poland). The indicators (aspect ratio R, geometric mean diameter D, and sphericity index Φ) of every seed were calculated using known formulas [9].The angle of static frictionγ of kernels was measured with a test instrument (Figure 2) equipped with photosensors [8–10]. Friction plates made of 41Cr4 steel were mounted on an adjustable arm of the above instrument near the photosensor. The plates were arranged in two positions: with the surface orientation parallel and perpendicular relative to their inclination tilt, i.e., in the direction of the motion of the flat seed unit. The measurement began by placing the arm of the instrument in a horizontal position. Every flat seed unit was placed directly above the light beam emitted by the optical system, and its tip was oriented downward the friction plate. The instrument was activated, and the angle of the adjustable arm was gradually changed until the flat seed unit was set into motion and the light beam was interrupted. The adjustable arm was paused, and its angle was read with a precision of 0.01°. Each flat seed unit was gauged in three replicates, and mean values were calculated. After each series of measurements conducted on 5 flat seed units, the surface of the friction plate was wiped with a cotton swab damped in petroleum ether to remove cutin residues.Figure 2
Test stand for measuring the external friction angle of seeds: 1: computer; 2: CPU (central processing unit) converter; 3: stepper motor lifting the arm of the instrument; 4: arm; 5: base of the instrument; 6: friction plate; 7: light receiver; 8: seed; 9: light emitter; 10: LSD display; 11: switch for manually controlling the arm of the instrument; 12: status diode light (on or off); 13: main on/off switch.The coefficient of static frictionμ of every seed in the tested positions relative to the surface orientation of the friction plate was calculated with the use of the below formula [4]:
(1)μ=tanγ.The relative moisture content of grain was measured with a halogen moisture analyzer fitted (MAX 5-/WH, Radwag Radom, Poland).


## 2.4. Statistical Analysis

The measured angles of static friction were analyzed using Statistica Pl v. 13.3 software (StatSoft Polska Sp. z o.o., Kraków, Poland). Differences in the measured values were determined by ANOVA based on the results of the Shapiro-WilkW test, Levene’s test, and Duncan’s test. The results were regarded as significant at α=0.05.


## 3. Results and Discussion

### 3.1. Friction Plates

According to Standard ISO 683-2:2016 [11], the structural material with symbol 41Cr4 is alloy chrome steel for quenching and tempering which is characterized by moderate hardenability and is recommended for the production of machine parts with a thickness of up to 40 mm. This alloy steel has a hardness of 240 HB in the soft annealed state and maximum hardness of 65 HRC in the hardened state [12]. Alloy steel with a sorbite structure has enhanced mechanical and fatigue performance. Sorbite is a structural component which is obtained by tempering martensite. Tempered martensite undergoes structural transformation, and it is composed of globular grains of cementite embedded in ferrite. Sorbite is produced by hardening and high-temperature tempering. Tempering improves the structural and mechanical properties of heat-treated materials, depending on the applied temperature and cooling method [13, 14]. The data presented in Table 1 confirm the above correlation. Tempering temperature is selected to obtain the desired material hardness, and the higher the temperature, the lower the hardness of the processed material. The highest hardness (655 HV) was noted in the sample that was subjected to hardening only. A microstructural analysis (Figure 3(a)) revealed the presence of fine lamellar martensite with retained austenite. Tempering at increasing temperatures (Figure 3(b)) did not induce microstructural changes that could be clearly discerned under an optical microscope, but hardness was considerably reduced to 311 HV. Changes in hardness are associated with the dispersion and coagulation of carbides, which decreases the content of carbon in martensite and transforms retained austenite into bainitic-sorbitic structures. The above effects could be observed under a scanning electron microscope at a magnification of up to several thousand times. The correlation between tempering temperature and steel hardness (HV) was best described by a quadratic polynomial (Figure 4) where the coefficient of determination was very high at 0.987.Table 1
Hardness and surface roughness of friction plates (meanvalue±standarddeviation).
Plate no.Tempering temperature (°C)Hardness HV30Surface roughnessRa (μm) of plates with different surface orientationsParallelPerpendicular1—655±140.61±0.021.39±0.042200611±121.70±0.052.87±0.033300554±220.94±0.032.48±0.064400478±51.26±0.042.52±0.045500380±60.26±0.010.62±0.026600311±40.58±0.020.59±0.02Figure 3
Microstructure of hardened 41Cr4 steel (400x magnification): (a) without tempering; (b) after tempering at a temperature of 500°C.
(a)(b)Figure 4
The effect of tempering temperature (Tt) on the hardness (HV) of a friction plate made of 41Cr4 steel (hardness was measured at three points at each temperature).The roughness of the analyzed friction plates varied considerably despite the application of the same processing method and processing parameters. Surface roughnessRa ranged from 0.26 to 2.87, and it was highest in the sample tempered at a temperature of 200°C. In 41Cr4 steel, surface roughness can be modified not only by grinding but also by optimizing turning parameters for round elements [15]. The correlation between surface roughness and tempering temperature after hardening could not be determined. Significant variations in roughness were noted when measurements were performed in different directions relative to the steel plate’s surface orientation. Roughness values were higher when measurements were performed perpendicular to the plate’s surface orientation, and in most cases (excluding the sample tempered at a temperature of 600°C), they were more than twice higher. The above can probably be attributed to the presence of grooves machined in the steel plate by the grinding disc and the fact that the asperities formed perpendicular to the direction of motion had a much higher amplitude value than the asperities formed in the parallel direction.


### 3.2. Cereal Kernels

The physical properties of cereal kernels are shown in Table2. The examined kernels were characterized by similar relative moisture content of 9.6–9.9%, and they could be stored for prolonged periods without viability loss [16]. Based on the average mass, barley was characterized by the heaviest kernels, and rye was characterized by the lightest kernels. Based on the average length values, oat kernels were longest whereas wheat kernels were shortest. The minimum and maximum values of the shape indicators (aspect ratio and sphericity index) were noted in oat and wheat kernels. The dimensions and mass of the tested kernels and the calculated aspect ratios were similar to the average values reported in the literature [9, 17–20].Table 2
Physical parameters of the analyzed kernels (meanvalue±standarddeviation).
Physical parameteraCereal speciesBarleyOatsRyeWheatMoisture (% dry basis)9.9±0.039.8±0.029.7±0.039.6±0.04Thickness (mm)3.2±0.202.6±0.242.7±0.213.1±0.33Width (mm)3.9±0.323.2±0.242.9±0.253.4±0.50Length (mm)8.4±0.9011.8±1.598.0±0.636.8±0.45Mass (mg)56.2±5.6350.7±10.6041.5±7.4450.2±14.93Geom. mean diameter (mm)4.7±0.284.7±0.373.9±0.264.1±0.41Aspect ratio (%)47.8±10.1828.0±2.9635.6±3.3850.2±5.66Sphericity index (%)56.3±7.0540.3±2.8049.1±2.6061.2±3.46aMc values are based on three replications. The remaining parameters are based on 50 replications.


### 3.3. Frictional Properties of Cereal Kernels

The angle of static friction (Table3) of cereal kernels differed considerably from 13.0° (wheat and triticale kernels on a steel plate with hardness 380 HV and parallel surface orientation) to 33.0° (wheat kernels on a steel plate with hardness 655 HV and perpendicular surface orientation). According to Frączek [1], the surface asperity patterns are determined by cereal species and variety, and they can differ among individual kernels. As demonstrated by Królczyk [21], different kernel segments are characterized by different surface roughness. The above observation can be used to explain the observed variations in the angle of static friction of cereal kernels on the same friction plate. These differences are not associated with the mass of flat seed units because previous studies (Kaliniewicz [22], Kaliniewicz et al. [10]) have demonstrated that the mass of cereal kernels does not exert a significant effect on their frictional properties. The average angle of static friction differed considerably from 15.4° (wheat, hardness 655 HV, parallel orientation) to 24.1° (wheat, hardness 655 HV, perpendicular orientation). The angle of static friction was largely influenced by the plate’s surface orientation, and the average value of this parameter was considerably higher when kernel motion was initiated on a steel plate with perpendicular rather than parallel surface orientation. The measured angles of static friction differed from 17.5% (barley, hardness 611 HV) to 56.5% (wheat, hardness 655 HV), and all of the noted differences were statistically significant. The higher values of the angle of static friction at the beginning of sliding on a friction plate with a perpendicular surface orientation resulted from differences in deformation force because the remaining components of the friction force were highly similar for both positions of sliding particles. On a friction plate with a perpendicular surface orientation, the perpendicular peaks of macroscopic asperities produce grooves and lead to the abrasion of the contact surface when kernel motion is initiated. In turn, on a friction plate with a parallel surface orientation, kernels slide along asperity peaks, and the resulting surface wear is sustained in continuous lines or stripes. This observation is consistent with the hypothesis formulated by Frączek [1] who argued that the surface asperities of friction plates (characterized by high hardness) do not undergo rapid deformation, which leads to the cutting of kernel surface. Popov [4] analyzed friction pairs characterized by different hardness and observed plastic deformations in the surface microroughness of the softer material across contact area bridges. The structural peaks formed during machining are wider in the perpendicular than the parallel direction; therefore, surface wear is greater in seeds moving on a friction plate with a perpendicular orientation, which increases the angle and coefficient of friction between friction pair components.Table 3
The angle of static friction of cereal kernels and the significance of differences in angle values.
Cereal speciesPlate hardness HV30Angle of static friction (°) of cereal kernels on plates with different surface orientationsParallelPerpendicularmin.max.Averagemin.max.AverageBarley31113.320.716.9aAB20.027.323.5bC38014.318.716.2aA19.025.322.0bB47815.023.017.3aBC17.723.721.1bA55414.324.016.6aA17.028.720.8bA61114.726.317.7aC16.726.020.8bA65514.720.016.3aA18.026.721.3bAOats31113.718.716.4aA17.726.322.7bAB38014.019.716.1aA19.727.723.0bB47815.020.717.2aB17.727.022.0bA55413.728.017.4aBC18.727.022.1bAB61115.323.018.1aC19.334.322.3bAB65514.025.717.4aBC19.331.722.2bABRye31113.720.317.6aD20.728.323.4bD38014.721.716.9aC18.326.322.1bC47814.322.716.6aBC18.024.720.8bAB55413.323.716.1aAB18.325.320.6bAB61114.018.016.0aA17.728.321.3bB65514.019.616.6aBC17.324.720.3bAWheat31115.023.318.1aE18.725.721.5bB38013.019.016.0aB19.325.321.5bB47814.322.717.3aD17.727.020.9bB55413.321.316.1aBC16.324.719.5bA61114.019.716.7aC19.727.722.3bC65513.719.315.4aA20.733.024.1bDa,bSignificant differences between the average angle of static friction of cereal kernels on friction plates with identical hardness and different surface orientations are marked with different letters; A,B,C,D,Esignificant differences between the average angle of static friction of cereal kernels on friction plates with an identical surface orientation and different hardness are marked with different letters.The hardness of the friction plate exerted a much smaller effect on the kernels’ angle of static friction than its surface orientation. The difference between the largest and the smallest angle of static friction ranged from 1.0° (oats, perpendicular orientation) to 4.6° (wheat, perpendicular orientation). Several homogeneous groups with similar angles of static friction on steel plates with a given hardness were identified by ANOVA. Smaller differences in the average angle of static friction were noted in rye and barley kernels on steel plates with a parallel surface orientation and in oat kernels on steel plates with a perpendicular surface orientation. In most cases (4 out of 8 variants), the average angle of static friction was largest on a steel plate with the lowest hardness (311 HV) and (in 2 out of 8 variants) on a steel plate with the hardness of 611 HV. The maximum values of the angles of static friction on the above plates should not be directly associated with plate hardness, but with the surface roughness of machined steel. In a study by Kaliniewicz et al. [9], the angle of static friction differed by as much as 8° on friction plates whose surface roughness varied within the same range of values as in the present study. Therefore, it can be assumed that the absence of similar roughness parameters on the surface of the analyzed friction plates hinders the correct interpretation of the correlations between surface hardness and the angle of static friction of kernels. Kaliniewicz et al. [9] did not measure the hardness of the friction plate; therefore, the results cannot be compared with current findings. Nonetheless, changes in friction plate hardness induced far smaller variations in the angle of static friction which did not exceed 4.6°C. The above implies that friction plate hardness exerts only a minor effect on the frictional properties of grain.A comparison of the average angles of static friction on different friction plates revealed minor differences in this parameter across the analyzed cereal species, which did not exceed 4° in the majority of cases. Similar results were reported by Kaliniewicz et al. [9] in a study evaluating the extent to which the surface roughness of a friction plate affects the frictional properties of cereal kernels.The values of the coefficient of static friction when the analyzed kernels were set into motion on friction plates with different hardness and parallel surface orientation are presented in Figure5. Several homogeneous groups were identified despite minor differences and overlaps in the average values of the coefficient of static friction. However, uniform change trends could not be determined for all analyzed cereal species. The coefficients of static friction were lowest on friction plates with a hardness of 380 HV (barley and oats), 611 HV (rye), and 655 HV (wheat), and they were highest on friction plates with a hardness of 611 HV (barley and oats) and 311 HV (rye and wheat).Figure 5
The coefficient of static friction (mean value and minimum–maximum value) of cereal kernels on friction plates with different hardness and parallel surface orientation: (a) barley; (b) oats; (c) rye; (d) wheat.
(a)(b)(c)(d)The values of the coefficient of static friction when the analyzed kernels were set into motion on friction plates with different hardness and perpendicular surface orientation are presented in Figure6. The influence of plate hardness on the frictional properties of grains differed across the examined cereal species, and the values of the coefficient of static friction were lowest on steel plates with a hardness of around 500 HV, which corresponds to friction plate roughness of around Ra=2.5 μm. The lowest values of the coefficient of static friction were reported by Ibrahim [23] for the skin of the Amazon tree boa on surfaces with similar roughness. In contrast, in a study by Kaliniewicz et al. [9], the seeds of the principal cereal species were characterized by the highest values of the coefficient of static friction on plates with an estimated roughness of Ra=2.5 μm.Figure 6
The coefficient of static friction (mean value and minimum–maximum value) of cereal kernels on friction plates with different hardness and perpendicular surface orientation: (a) barley; (b) oats; (c) rye; (d) wheat.
(a)(b)(c)(d)The average values of the coefficient of static friction of cereal kernels on steel plates with different surface orientations are presented in Figure7. The analyzed parameter ranged from 0.299 to 0.412. The results of the present study indicate that the coefficient of static friction of cereal kernels remains fairly constant at around 0.3 when the friction plate has a parallel surface orientation, and it reaches around 0.4 when the friction plate has a perpendicular surface orientation. The coefficient of static friction remained constant when seeds moved freely on the friction plate, and it decreased when additional normal force (such as the pressure exerted by a structural element) was applied to the seeds. This decrease can reach even 50% within the analyzed range of moisture content values [1, 23, 24], and it is associated with a nonproportional increase in contact stress and a rise in normal pressure [1]. Direction-dependent friction anisotropy was also observed in snake skin [6, 25]. The frictional behavior of snake skin differs considerably during longitudinal and perpendicular motion, which facilitates legless locomotion. Researchers have attempted to determine the frictional properties of seeds of various cereal species. In most cases, the geometric parameters of the analyzed frictional surfaces (such as concrete, steel, and wood) were not provided; therefore, information was imprecise and inaccurate. However, if the above differences are disregarded, the coefficients of static friction calculated on a steel friction plate in this study are similar to those reported by Molenda and Horabik [5], Sologubik et al. [26], and Kaliniewicz et al. [10]. Similar values of the coefficient of static friction on a steel friction plate have been reported in other plant species, including chick pea seeds [27], corn [28], kidney beans [29], peas [29, 30], coriander [31], cowpeas [32], and flax seeds [33].Figure 7
The coefficient of static friction (mean value and minimum–maximum value) of cereal kernels on friction plates with different surface orientations: (a) barley; (b) oats; (c) rye; (d) wheat.
(a)(b)(c)(d)


## 3.1. Friction Plates

According to Standard ISO 683-2:2016 [11], the structural material with symbol 41Cr4 is alloy chrome steel for quenching and tempering which is characterized by moderate hardenability and is recommended for the production of machine parts with a thickness of up to 40 mm. This alloy steel has a hardness of 240 HB in the soft annealed state and maximum hardness of 65 HRC in the hardened state [12]. Alloy steel with a sorbite structure has enhanced mechanical and fatigue performance. Sorbite is a structural component which is obtained by tempering martensite. Tempered martensite undergoes structural transformation, and it is composed of globular grains of cementite embedded in ferrite. Sorbite is produced by hardening and high-temperature tempering. Tempering improves the structural and mechanical properties of heat-treated materials, depending on the applied temperature and cooling method [13, 14]. The data presented in Table 1 confirm the above correlation. Tempering temperature is selected to obtain the desired material hardness, and the higher the temperature, the lower the hardness of the processed material. The highest hardness (655 HV) was noted in the sample that was subjected to hardening only. A microstructural analysis (Figure 3(a)) revealed the presence of fine lamellar martensite with retained austenite. Tempering at increasing temperatures (Figure 3(b)) did not induce microstructural changes that could be clearly discerned under an optical microscope, but hardness was considerably reduced to 311 HV. Changes in hardness are associated with the dispersion and coagulation of carbides, which decreases the content of carbon in martensite and transforms retained austenite into bainitic-sorbitic structures. The above effects could be observed under a scanning electron microscope at a magnification of up to several thousand times. The correlation between tempering temperature and steel hardness (HV) was best described by a quadratic polynomial (Figure 4) where the coefficient of determination was very high at 0.987.Table 1
Hardness and surface roughness of friction plates (meanvalue±standarddeviation).
Plate no.Tempering temperature (°C)Hardness HV30Surface roughnessRa (μm) of plates with different surface orientationsParallelPerpendicular1—655±140.61±0.021.39±0.042200611±121.70±0.052.87±0.033300554±220.94±0.032.48±0.064400478±51.26±0.042.52±0.045500380±60.26±0.010.62±0.026600311±40.58±0.020.59±0.02Figure 3
Microstructure of hardened 41Cr4 steel (400x magnification): (a) without tempering; (b) after tempering at a temperature of 500°C.
(a)(b)Figure 4
The effect of tempering temperature (Tt) on the hardness (HV) of a friction plate made of 41Cr4 steel (hardness was measured at three points at each temperature).The roughness of the analyzed friction plates varied considerably despite the application of the same processing method and processing parameters. Surface roughnessRa ranged from 0.26 to 2.87, and it was highest in the sample tempered at a temperature of 200°C. In 41Cr4 steel, surface roughness can be modified not only by grinding but also by optimizing turning parameters for round elements [15]. The correlation between surface roughness and tempering temperature after hardening could not be determined. Significant variations in roughness were noted when measurements were performed in different directions relative to the steel plate’s surface orientation. Roughness values were higher when measurements were performed perpendicular to the plate’s surface orientation, and in most cases (excluding the sample tempered at a temperature of 600°C), they were more than twice higher. The above can probably be attributed to the presence of grooves machined in the steel plate by the grinding disc and the fact that the asperities formed perpendicular to the direction of motion had a much higher amplitude value than the asperities formed in the parallel direction.


## 3.2. Cereal Kernels

The physical properties of cereal kernels are shown in Table2. The examined kernels were characterized by similar relative moisture content of 9.6–9.9%, and they could be stored for prolonged periods without viability loss [16]. Based on the average mass, barley was characterized by the heaviest kernels, and rye was characterized by the lightest kernels. Based on the average length values, oat kernels were longest whereas wheat kernels were shortest. The minimum and maximum values of the shape indicators (aspect ratio and sphericity index) were noted in oat and wheat kernels. The dimensions and mass of the tested kernels and the calculated aspect ratios were similar to the average values reported in the literature [9, 17–20].Table 2
Physical parameters of the analyzed kernels (meanvalue±standarddeviation).
Physical parameteraCereal speciesBarleyOatsRyeWheatMoisture (% dry basis)9.9±0.039.8±0.029.7±0.039.6±0.04Thickness (mm)3.2±0.202.6±0.242.7±0.213.1±0.33Width (mm)3.9±0.323.2±0.242.9±0.253.4±0.50Length (mm)8.4±0.9011.8±1.598.0±0.636.8±0.45Mass (mg)56.2±5.6350.7±10.6041.5±7.4450.2±14.93Geom. mean diameter (mm)4.7±0.284.7±0.373.9±0.264.1±0.41Aspect ratio (%)47.8±10.1828.0±2.9635.6±3.3850.2±5.66Sphericity index (%)56.3±7.0540.3±2.8049.1±2.6061.2±3.46aMc values are based on three replications. The remaining parameters are based on 50 replications.


## 3.3. Frictional Properties of Cereal Kernels

The angle of static friction (Table3) of cereal kernels differed considerably from 13.0° (wheat and triticale kernels on a steel plate with hardness 380 HV and parallel surface orientation) to 33.0° (wheat kernels on a steel plate with hardness 655 HV and perpendicular surface orientation). According to Frączek [1], the surface asperity patterns are determined by cereal species and variety, and they can differ among individual kernels. As demonstrated by Królczyk [21], different kernel segments are characterized by different surface roughness. The above observation can be used to explain the observed variations in the angle of static friction of cereal kernels on the same friction plate. These differences are not associated with the mass of flat seed units because previous studies (Kaliniewicz [22], Kaliniewicz et al. [10]) have demonstrated that the mass of cereal kernels does not exert a significant effect on their frictional properties. The average angle of static friction differed considerably from 15.4° (wheat, hardness 655 HV, parallel orientation) to 24.1° (wheat, hardness 655 HV, perpendicular orientation). The angle of static friction was largely influenced by the plate’s surface orientation, and the average value of this parameter was considerably higher when kernel motion was initiated on a steel plate with perpendicular rather than parallel surface orientation. The measured angles of static friction differed from 17.5% (barley, hardness 611 HV) to 56.5% (wheat, hardness 655 HV), and all of the noted differences were statistically significant. The higher values of the angle of static friction at the beginning of sliding on a friction plate with a perpendicular surface orientation resulted from differences in deformation force because the remaining components of the friction force were highly similar for both positions of sliding particles. On a friction plate with a perpendicular surface orientation, the perpendicular peaks of macroscopic asperities produce grooves and lead to the abrasion of the contact surface when kernel motion is initiated. In turn, on a friction plate with a parallel surface orientation, kernels slide along asperity peaks, and the resulting surface wear is sustained in continuous lines or stripes. This observation is consistent with the hypothesis formulated by Frączek [1] who argued that the surface asperities of friction plates (characterized by high hardness) do not undergo rapid deformation, which leads to the cutting of kernel surface. Popov [4] analyzed friction pairs characterized by different hardness and observed plastic deformations in the surface microroughness of the softer material across contact area bridges. The structural peaks formed during machining are wider in the perpendicular than the parallel direction; therefore, surface wear is greater in seeds moving on a friction plate with a perpendicular orientation, which increases the angle and coefficient of friction between friction pair components.Table 3
The angle of static friction of cereal kernels and the significance of differences in angle values.
Cereal speciesPlate hardness HV30Angle of static friction (°) of cereal kernels on plates with different surface orientationsParallelPerpendicularmin.max.Averagemin.max.AverageBarley31113.320.716.9aAB20.027.323.5bC38014.318.716.2aA19.025.322.0bB47815.023.017.3aBC17.723.721.1bA55414.324.016.6aA17.028.720.8bA61114.726.317.7aC16.726.020.8bA65514.720.016.3aA18.026.721.3bAOats31113.718.716.4aA17.726.322.7bAB38014.019.716.1aA19.727.723.0bB47815.020.717.2aB17.727.022.0bA55413.728.017.4aBC18.727.022.1bAB61115.323.018.1aC19.334.322.3bAB65514.025.717.4aBC19.331.722.2bABRye31113.720.317.6aD20.728.323.4bD38014.721.716.9aC18.326.322.1bC47814.322.716.6aBC18.024.720.8bAB55413.323.716.1aAB18.325.320.6bAB61114.018.016.0aA17.728.321.3bB65514.019.616.6aBC17.324.720.3bAWheat31115.023.318.1aE18.725.721.5bB38013.019.016.0aB19.325.321.5bB47814.322.717.3aD17.727.020.9bB55413.321.316.1aBC16.324.719.5bA61114.019.716.7aC19.727.722.3bC65513.719.315.4aA20.733.024.1bDa,bSignificant differences between the average angle of static friction of cereal kernels on friction plates with identical hardness and different surface orientations are marked with different letters; A,B,C,D,Esignificant differences between the average angle of static friction of cereal kernels on friction plates with an identical surface orientation and different hardness are marked with different letters.The hardness of the friction plate exerted a much smaller effect on the kernels’ angle of static friction than its surface orientation. The difference between the largest and the smallest angle of static friction ranged from 1.0° (oats, perpendicular orientation) to 4.6° (wheat, perpendicular orientation). Several homogeneous groups with similar angles of static friction on steel plates with a given hardness were identified by ANOVA. Smaller differences in the average angle of static friction were noted in rye and barley kernels on steel plates with a parallel surface orientation and in oat kernels on steel plates with a perpendicular surface orientation. In most cases (4 out of 8 variants), the average angle of static friction was largest on a steel plate with the lowest hardness (311 HV) and (in 2 out of 8 variants) on a steel plate with the hardness of 611 HV. The maximum values of the angles of static friction on the above plates should not be directly associated with plate hardness, but with the surface roughness of machined steel. In a study by Kaliniewicz et al. [9], the angle of static friction differed by as much as 8° on friction plates whose surface roughness varied within the same range of values as in the present study. Therefore, it can be assumed that the absence of similar roughness parameters on the surface of the analyzed friction plates hinders the correct interpretation of the correlations between surface hardness and the angle of static friction of kernels. Kaliniewicz et al. [9] did not measure the hardness of the friction plate; therefore, the results cannot be compared with current findings. Nonetheless, changes in friction plate hardness induced far smaller variations in the angle of static friction which did not exceed 4.6°C. The above implies that friction plate hardness exerts only a minor effect on the frictional properties of grain.A comparison of the average angles of static friction on different friction plates revealed minor differences in this parameter across the analyzed cereal species, which did not exceed 4° in the majority of cases. Similar results were reported by Kaliniewicz et al. [9] in a study evaluating the extent to which the surface roughness of a friction plate affects the frictional properties of cereal kernels.The values of the coefficient of static friction when the analyzed kernels were set into motion on friction plates with different hardness and parallel surface orientation are presented in Figure5. Several homogeneous groups were identified despite minor differences and overlaps in the average values of the coefficient of static friction. However, uniform change trends could not be determined for all analyzed cereal species. The coefficients of static friction were lowest on friction plates with a hardness of 380 HV (barley and oats), 611 HV (rye), and 655 HV (wheat), and they were highest on friction plates with a hardness of 611 HV (barley and oats) and 311 HV (rye and wheat).Figure 5
The coefficient of static friction (mean value and minimum–maximum value) of cereal kernels on friction plates with different hardness and parallel surface orientation: (a) barley; (b) oats; (c) rye; (d) wheat.
(a)(b)(c)(d)The values of the coefficient of static friction when the analyzed kernels were set into motion on friction plates with different hardness and perpendicular surface orientation are presented in Figure6. The influence of plate hardness on the frictional properties of grains differed across the examined cereal species, and the values of the coefficient of static friction were lowest on steel plates with a hardness of around 500 HV, which corresponds to friction plate roughness of around Ra=2.5 μm. The lowest values of the coefficient of static friction were reported by Ibrahim [23] for the skin of the Amazon tree boa on surfaces with similar roughness. In contrast, in a study by Kaliniewicz et al. [9], the seeds of the principal cereal species were characterized by the highest values of the coefficient of static friction on plates with an estimated roughness of Ra=2.5 μm.Figure 6
The coefficient of static friction (mean value and minimum–maximum value) of cereal kernels on friction plates with different hardness and perpendicular surface orientation: (a) barley; (b) oats; (c) rye; (d) wheat.
(a)(b)(c)(d)The average values of the coefficient of static friction of cereal kernels on steel plates with different surface orientations are presented in Figure7. The analyzed parameter ranged from 0.299 to 0.412. The results of the present study indicate that the coefficient of static friction of cereal kernels remains fairly constant at around 0.3 when the friction plate has a parallel surface orientation, and it reaches around 0.4 when the friction plate has a perpendicular surface orientation. The coefficient of static friction remained constant when seeds moved freely on the friction plate, and it decreased when additional normal force (such as the pressure exerted by a structural element) was applied to the seeds. This decrease can reach even 50% within the analyzed range of moisture content values [1, 23, 24], and it is associated with a nonproportional increase in contact stress and a rise in normal pressure [1]. Direction-dependent friction anisotropy was also observed in snake skin [6, 25]. The frictional behavior of snake skin differs considerably during longitudinal and perpendicular motion, which facilitates legless locomotion. Researchers have attempted to determine the frictional properties of seeds of various cereal species. In most cases, the geometric parameters of the analyzed frictional surfaces (such as concrete, steel, and wood) were not provided; therefore, information was imprecise and inaccurate. However, if the above differences are disregarded, the coefficients of static friction calculated on a steel friction plate in this study are similar to those reported by Molenda and Horabik [5], Sologubik et al. [26], and Kaliniewicz et al. [10]. Similar values of the coefficient of static friction on a steel friction plate have been reported in other plant species, including chick pea seeds [27], corn [28], kidney beans [29], peas [29, 30], coriander [31], cowpeas [32], and flax seeds [33].Figure 7
The coefficient of static friction (mean value and minimum–maximum value) of cereal kernels on friction plates with different surface orientations: (a) barley; (b) oats; (c) rye; (d) wheat.
(a)(b)(c)(d)


## 4. Conclusions

It can be concluded that the surface orientation of a friction plate significantly influences the frictional properties of cereal kernels. Higher values of the angle and coefficient of static friction were noted when kernel motion was initiated on friction plates with perpendicular rather than parallel surface orientation relative to its inclination tilt. The difference in the average angle of static friction of grain on friction plates with perpendicular and parallel surface orientations ranged from around 3° to around 9°, and significant differences in this parameter were not observed across the analyzed cereal species. The variations in the average angle and coefficient of static friction of kernels with a different position relative to the surface orientation of the friction plate could be attributed to differences in static friction during the initiation of kernel motion. On friction plates with a perpendicular surface orientation, kernel motion is initiated when frictional bonds are broken, which leads to the abrasion of nearly the entire contact surface. In contrast, on friction plates with a parallel surface orientation, the resulting surface damage is sustained in continuous lines or stripes.The surface orientation of the friction plate exerted a much greater impact on the frictional properties of kernels than plate hardness. On the analyzed friction plates, the angle of static friction of kernels ranged from 1.0° to 4.6°, and it was influenced by cereal species. The correlations between plate hardness vs. the angle and coefficient of static friction of cereal kernels could not be determined with a high degree of precision because the surface roughness of the analyzed friction plates varied considerably despite the application of the same processing method and processing parameters. These differences significantly affected the frictional properties of kernels. In general, the coefficient of static friction of the kernels of the analyzed cereal species remained fairly stable within the examined range of plate hardness values, and it was estimated at 0.4 on plates with a perpendicular surface orientation and at 0.3 on plates with a parallel surface orientation.



---

*Source: 6639233-2020-11-16.xml*