<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">WJET</journal-id><journal-title-group><journal-title>World Journal of Engineering and Technology</journal-title></journal-title-group><issn pub-type="epub">2331-4222</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/wjet.2019.73036</article-id><article-id pub-id-type="publisher-id">WJET-94466</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject><subject> Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Experimental Study on Secondary Wear of Friction Pair Surface
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yanqiang</surname><given-names>Gou</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yuhu</surname><given-names>Yan</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, China</addr-line></aff><pub-date pub-type="epub"><day>30</day><month>07</month><year>2019</year></pub-date><volume>07</volume><issue>03</issue><fpage>513</fpage><lpage>519</lpage><history><date date-type="received"><day>27,</day>	<month>July</month>	<year>2019</year></date><date date-type="rev-recd"><day>18,</day>	<month>August</month>	<year>2019</year>	</date><date date-type="accepted"><day>21,</day>	<month>August</month>	<year>2019</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The phenomenon that the hard abrasive grains repeatedly cut the surface material of the parts during wear is very common in wear. In order to study the influencing factors of mechanical damage, based on the three-body abrasive wear, this paper discusses the wear of the secondary cutting abrasive. Firstly, the secondary wear model of the hemispherical abrasive grain on the friction pair surface is established. Secondly, the simulation experiment is carried out on the secondary scratching of the abrasive wear on the surface of the part. Next, the equivalent strain data and the equivalent stress data obtained by the experiment are subjected to secondary friction analysis. The final results show that the secondary friction damage of the hemispherical abrasive grain is greater than one wear.
 
</p></abstract><kwd-group><kwd>Hemispherical Abrasive Grain</kwd><kwd> Wear</kwd><kwd> Friction</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>In the three-body abrasive wear, the abrasive particles are loosely distributed on the worn surface. When the abrasive particles are scratched by the contact surface, the wear is highly random, and the result is unpredictable [<xref ref-type="bibr" rid="scirp.94466-ref1">1</xref>] . Therefore, in the three-body abrasive wear, it is very meaningful to study the factors affecting the friction and wear of mechanical equipment.</p><p>For example, the process of contact between abrasive grains and wear materials was discussed in [<xref ref-type="bibr" rid="scirp.94466-ref2">2</xref>] , and the wear of the abrasive grains and the deformation process of the material surface were obtained. The spherical abrasive particle model and the fractal abrasive particle model were used to analyze the influence of the distribution of the abrasive surface contact zone on the metal surface in [<xref ref-type="bibr" rid="scirp.94466-ref3">3</xref>] . A fractal model was proposed based on the wear rate of abrasive wear on rough surfaces [<xref ref-type="bibr" rid="scirp.94466-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.94466-ref5">5</xref>] . [<xref ref-type="bibr" rid="scirp.94466-ref6">6</xref>] studied the wear behavior of different metal materials. According to the shape of the abrasive grains, the abrasive grains were simplified into spherical abrasive grains [<xref ref-type="bibr" rid="scirp.94466-ref7">7</xref>] , conical abrasive grains [<xref ref-type="bibr" rid="scirp.94466-ref7">7</xref>] , round table abrasive grains [<xref ref-type="bibr" rid="scirp.94466-ref8">8</xref>] , and pyramid abrasive grains [<xref ref-type="bibr" rid="scirp.94466-ref9">9</xref>] . The different wear factors of the above abrasive particles are based on the wear of the smooth plane, ignoring the effects of repeated scratches. Then, whether repeated friction and one friction will cause different wear changes has attracted our attention. This paper mainly analyzes the hemispherical abrasive particles and studies the secondary friction of the abrasive particles.</p><p>For the case of three-body abrasive wear, this paper studies the hemispherical abrasive wear model. The ABAQUS finite element software is used to simulate the abrasive wear process, and the influence of secondary friction and wear is analyzed. It is found that the secondary wear is more serious on the metal surface.</p></sec><sec id="s2"><title>2. Hemispherical Abrasive Grain Model</title><p>The hemispherical abrasive model is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>. The parameter is set to the diameter of 20 μm and the height of 18 μm. The coordinates of the abrasive grain apex are (0, 0, 10).</p><p>The entire cutting process is set up by 4 steps. Step 1, the abrasive grains are displaced by 2 μm in the negative direction of the Y-axis to simulate the case where the abrasive grains are pressed into the surface of the part. Step 2, the abrasive grains are displaced by 80 μm in the positive direction of the Z-axis, which is the first cutting of the abrasive grains on the surface of the part. Step 3, the abrasive grains are displaced by 2 μm in the negative direction of the Y-axis, which is the starting state of the second cutting. Step 4, the abrasive grains are displaced by 80 μm in the negative direction of the Z-axis, which is the second cutting of the abrasive grains on the surface of the part. The trajectory of the hemispherical abrasive particles is shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p><p>In order to calculate the average speed of each step, the parameters are set as follows. In step 1, the abrasive grain velocity is 2 m/s, and the direction is the negative direction of the Y-axis. In step 2, the abrasive cutting speed is 80 m/s</p><p>and the direction is the positive Z-axis. In step 3, the abrasive grain velocity is 2 m/s, and the direction is the negative direction of the Y-axis. In step 4, the abrasive grain velocity is 80 m/s, and the direction is the Z-axis negative direction. After the cutting process is completed, the coordinates of the apex of the abrasive grain are (0, −4, 10).</p><p>The secondary cutting wear rate formula is as follows [<xref ref-type="bibr" rid="scirp.94466-ref10">10</xref>] :</p><p>H = R 2 { arcsin ( d 2 2 R ) + d 2 2 R [ 1 − ( d 1 2 R ) 2 ] 1 2 − arcsin ( d 1 2 R ) − d 2 2 R [ 1 − ( d 2 2 R ) 2 ] 1 2 }</p><p>where d 1 is the width of the furrow when the abrasive grain first cuts the surface material of the part, and d 2 is the width of the furrow when the abrasive grain cuts the surface material of the part for the second time.</p></sec><sec id="s3"><title>3. Simulation Experiments</title><p>We set the surface material of the part to the aluminum alloy material. The first cut is taken as a reference and compared with the second cut.</p><sec id="s3_1"><title>3.1. Equivalent Plastic Strain Analysis</title><p>The abrasive particles and the surface material of the component are provided by the aluminum alloy material. The strain state cloud of the entire model at the end of each analysis step is shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>. The maximum equivalent strain data is shown in <xref ref-type="table" rid="table1">Table 1</xref>.</p><p>The following analysis can be derived from the data in <xref ref-type="table" rid="table1">Table 1</xref>. At step 1, the equivalent strain data increases with time. In the initial stage of step 2 abrasive grain cutting, the maximum equivalent strain data increases slightly with time. In step 3, continue to squeeze the surface of the part along the normal direction,</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Hemispherical abrasive grain maximum equivalent plastic strain data</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Incremental step (Increment)</th><th align="center" valign="middle" >Times (μs)</th><th align="center" valign="middle" >Step 1 PEEQ (%)</th><th align="center" valign="middle" >Step 2 PEEQ (%)</th><th align="center" valign="middle" >Step 3 PEEQ (%)</th><th align="center" valign="middle" >Step 4 PEEQ (%)</th></tr></thead><tr><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0.7676</td><td align="center" valign="middle" >0.7887</td><td align="center" valign="middle" >0.7909</td></tr><tr><td align="center" valign="middle" >222</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >0.05203</td><td align="center" valign="middle" >0.7712</td><td align="center" valign="middle" >0.7889</td><td align="center" valign="middle" >0.7909</td></tr><tr><td align="center" valign="middle" >444</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >0.09822</td><td align="center" valign="middle" >0.7716</td><td align="center" valign="middle" >0.7889</td><td align="center" valign="middle" >0.7909</td></tr><tr><td align="center" valign="middle" >666</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >0.1448</td><td align="center" valign="middle" >0.7733</td><td align="center" valign="middle" >0.7889</td><td align="center" valign="middle" >0.7910</td></tr><tr><td align="center" valign="middle" >888</td><td align="center" valign="middle" >0.2</td><td align="center" valign="middle" >0.2000</td><td align="center" valign="middle" >0.7735</td><td align="center" valign="middle" >0.7892</td><td align="center" valign="middle" >0.7910</td></tr><tr><td align="center" valign="middle" >1110</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >0.2707</td><td align="center" valign="middle" >0.7779</td><td align="center" valign="middle" >0.7893</td><td align="center" valign="middle" >0.7910</td></tr><tr><td align="center" valign="middle" >1332</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >0.4804</td><td align="center" valign="middle" >0.7790</td><td align="center" valign="middle" >0.7894</td><td align="center" valign="middle" >0.7910</td></tr><tr><td align="center" valign="middle" >1554</td><td align="center" valign="middle" >0.35</td><td align="center" valign="middle" >0.5625</td><td align="center" valign="middle" >0.7818</td><td align="center" valign="middle" >0.7894</td><td align="center" valign="middle" >0.7910</td></tr><tr><td align="center" valign="middle" >1776</td><td align="center" valign="middle" >0.4</td><td align="center" valign="middle" >0.6070</td><td align="center" valign="middle" >0.7837</td><td align="center" valign="middle" >0.7897</td><td align="center" valign="middle" >0.7910</td></tr><tr><td align="center" valign="middle" >1998</td><td align="center" valign="middle" >0.45</td><td align="center" valign="middle" >0.6385</td><td align="center" valign="middle" >0.7857</td><td align="center" valign="middle" >0.7898</td><td align="center" valign="middle" >0.7910</td></tr><tr><td align="center" valign="middle" >2220</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.6942</td><td align="center" valign="middle" >0.7857</td><td align="center" valign="middle" >0.7898</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >2442</td><td align="center" valign="middle" >0.55</td><td align="center" valign="middle" >0.7135</td><td align="center" valign="middle" >0.7857</td><td align="center" valign="middle" >0.7899</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >2664</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >0.7420</td><td align="center" valign="middle" >0.7861</td><td align="center" valign="middle" >0.7901</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >2886</td><td align="center" valign="middle" >0.65</td><td align="center" valign="middle" >0.7278</td><td align="center" valign="middle" >0.7866</td><td align="center" valign="middle" >0.7902</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >3108</td><td align="center" valign="middle" >0.7</td><td align="center" valign="middle" >0.7486</td><td align="center" valign="middle" >0.7870</td><td align="center" valign="middle" >0.7909</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >3330</td><td align="center" valign="middle" >0.75</td><td align="center" valign="middle" >0.7498</td><td align="center" valign="middle" >0.7872</td><td align="center" valign="middle" >0.7909</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >3552</td><td align="center" valign="middle" >0.8</td><td align="center" valign="middle" >0.7676</td><td align="center" valign="middle" >0.7876</td><td align="center" valign="middle" >0.7909</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >3774</td><td align="center" valign="middle" >0.85</td><td align="center" valign="middle" >0.7823</td><td align="center" valign="middle" >0.7880</td><td align="center" valign="middle" >0.7909</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >3996</td><td align="center" valign="middle" >0.9</td><td align="center" valign="middle" >0.7853</td><td align="center" valign="middle" >0.7881</td><td align="center" valign="middle" >0.7909</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >4218</td><td align="center" valign="middle" >0.95</td><td align="center" valign="middle" >0.7742</td><td align="center" valign="middle" >0.7883</td><td align="center" valign="middle" >0.7909</td><td align="center" valign="middle" >0.7911</td></tr><tr><td align="center" valign="middle" >4440</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.7676</td><td align="center" valign="middle" >0.7887</td><td align="center" valign="middle" >0.7909</td><td align="center" valign="middle" >0.5845</td></tr></tbody></table></table-wrap><p>and the equivalent strain data changes little. In step 4, the abrasive grains are cut in the furrow, and the residual stress of the fracture surface of the furrow is superimposed with the cutting force, so that the secondary cutting strain data is larger than one cutting. When the abrasive particles are displaced to a distance of 2 μm from the initial position, the equivalent plastic strain value drops sharply.</p></sec><sec id="s3_2"><title>3.2. Equivalent Stress Analysis</title><p>The equivalent stress change of the model after the end of the four analysis steps is shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>. The equivalent stress data collected is shown in <xref ref-type="table" rid="table2">Table 2</xref>.</p><table-wrap-group id="2"><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Hemispherical abrasive grain maximum equivalent stress data</title></caption><table-wrap id="2_1"><table><tbody><thead><tr><th align="center" valign="middle" >Incremental step (Increment)</th><th align="center" valign="middle" >Times (μs)</th><th align="center" valign="middle" >Step 1 Mises (MPa)</th><th align="center" valign="middle" >Step 2 Mises (MPa)</th><th align="center" valign="middle" >Step 3 Mises (MPa)</th><th align="center" valign="middle" >Step 4 Mises (MPa)</th></tr></thead><tr><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >397.6</td><td align="center" valign="middle" >386.8</td><td align="center" valign="middle" >390.9</td></tr><tr><td align="center" valign="middle" >222</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >346.3</td><td align="center" valign="middle" >387.4</td><td align="center" valign="middle" >385.5</td><td align="center" valign="middle" >383.8</td></tr><tr><td align="center" valign="middle" >444</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >349.4</td><td align="center" valign="middle" >387.2</td><td align="center" valign="middle" >384.7</td><td align="center" valign="middle" >387.2</td></tr><tr><td align="center" valign="middle" >666</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >355.3</td><td align="center" valign="middle" >394.6</td><td align="center" valign="middle" >387.3</td><td align="center" valign="middle" >386.1</td></tr><tr><td align="center" valign="middle" >888</td><td align="center" valign="middle" >0.2</td><td align="center" valign="middle" >360.9</td><td align="center" valign="middle" >395.4</td><td align="center" valign="middle" >384.0</td><td align="center" valign="middle" >384.1</td></tr><tr><td align="center" valign="middle" >1110</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >364.3</td><td align="center" valign="middle" >394.4</td><td align="center" valign="middle" >386.2</td><td align="center" valign="middle" >385.0</td></tr><tr><td align="center" valign="middle" >1332</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >379.5</td><td align="center" valign="middle" >397.0</td><td align="center" valign="middle" >383.8</td><td align="center" valign="middle" >386.5</td></tr><tr><td align="center" valign="middle" >1554</td><td align="center" valign="middle" >0.35</td><td align="center" valign="middle" >389.8</td><td align="center" valign="middle" >396.9</td><td align="center" valign="middle" >386.2</td><td align="center" valign="middle" >390.5</td></tr><tr><td align="center" valign="middle" >1776</td><td align="center" valign="middle" >0.4</td><td align="center" valign="middle" >390.9</td><td align="center" valign="middle" >394.1</td><td align="center" valign="middle" >389.7</td><td align="center" valign="middle" >389.1</td></tr><tr><td align="center" valign="middle" >1998</td><td align="center" valign="middle" >0.45</td><td align="center" valign="middle" >398.5</td><td align="center" valign="middle" >388.7</td><td align="center" valign="middle" >386.0</td><td align="center" valign="middle" >391.2</td></tr><tr><td align="center" valign="middle" >2220</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >392.8</td><td align="center" valign="middle" >389.2</td><td align="center" valign="middle" >387.8</td><td align="center" valign="middle" >386.2</td></tr><tr><td align="center" valign="middle" >2442</td><td align="center" valign="middle" >0.55</td><td align="center" valign="middle" >397.3</td><td align="center" valign="middle" >396.0</td><td align="center" valign="middle" >392.3</td><td align="center" valign="middle" >390.0</td></tr></tbody></table></table-wrap><table-wrap id="2_2"><table><tbody><thead><tr><th align="center" valign="middle" >2664</th><th align="center" valign="middle" >0.6</th><th align="center" valign="middle" >400.4</th><th align="center" valign="middle" >387.4</th><th align="center" valign="middle" >393.0</th><th align="center" valign="middle" >384.2</th></tr></thead><tr><td align="center" valign="middle" >2886</td><td align="center" valign="middle" >0.65</td><td align="center" valign="middle" >400.1</td><td align="center" valign="middle" >385.0</td><td align="center" valign="middle" >388.5</td><td align="center" valign="middle" >388.3</td></tr><tr><td align="center" valign="middle" >3108</td><td align="center" valign="middle" >0.7</td><td align="center" valign="middle" >401.9</td><td align="center" valign="middle" >383.7</td><td align="center" valign="middle" >393.6</td><td align="center" valign="middle" >385.1</td></tr><tr><td align="center" valign="middle" >3330</td><td align="center" valign="middle" >0.75</td><td align="center" valign="middle" >401.3</td><td align="center" valign="middle" >397.6</td><td align="center" valign="middle" >392.1</td><td align="center" valign="middle" >388.9</td></tr><tr><td align="center" valign="middle" >3552</td><td align="center" valign="middle" >0.8</td><td align="center" valign="middle" >403.6</td><td align="center" valign="middle" >397.8</td><td align="center" valign="middle" >390.8</td><td align="center" valign="middle" >389.7</td></tr><tr><td align="center" valign="middle" >3774</td><td align="center" valign="middle" >0.85</td><td align="center" valign="middle" >402.2</td><td align="center" valign="middle" >387.8</td><td align="center" valign="middle" >389.2</td><td align="center" valign="middle" >392.8</td></tr><tr><td align="center" valign="middle" >3996</td><td align="center" valign="middle" >0.9</td><td align="center" valign="middle" >402.2</td><td align="center" valign="middle" >384.4</td><td align="center" valign="middle" >392.3</td><td align="center" valign="middle" >392.1</td></tr><tr><td align="center" valign="middle" >4218</td><td align="center" valign="middle" >0.95</td><td align="center" valign="middle" >402.0</td><td align="center" valign="middle" >385.3</td><td align="center" valign="middle" >395.7</td><td align="center" valign="middle" >399.9</td></tr><tr><td align="center" valign="middle" >4440</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >397.6</td><td align="center" valign="middle" >386.8</td><td align="center" valign="middle" >390.9</td><td align="center" valign="middle" >391.9</td></tr></tbody></table></table-wrap></table-wrap-group><p>The following analysis is obtained by <xref ref-type="table" rid="table2">Table 2</xref>. At step 1, the equivalent stress increases with time. In the first stage of step 2 abrasive grain cutting, the maximum equivalent stress data varies less. In step 3, the surface of the part is continuously pressed in the direction of the method, and the equivalent stress is slightly increased. In step 4, the abrasive particles undergo a cutting action in the furrow and the equivalent stress level is lower overall than step 2.</p></sec></sec><sec id="s4"><title>4. Conclusions</title><p>1) In three-body abrasive wear, analysis of equivalent strain data and equivalent stress data indicates that secondary wear is greater than one wear. Therefore, the wear of the friction pair surface is related to the number of frictions.</p><p>2) There are many factors affecting the wear of metal surfaces. We further explore other wear factors of hemispherical abrasive grains in the future.</p></sec><sec id="s5"><title>Acknowledgements</title><p>The authors are grateful for the support provided by the China Coal Industry Association Science and Technology Guiding Program (MTKJ 2012-344).</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Gou, Y.Q. and Yan, Y.H. (2019) Experimental Study on Secondary Wear of Friction Pair Surface. World Journal of Engineering and Technology, 7, 513-519. https://doi.org/10.4236/wjet.2019.73036</p></sec></body><back><ref-list><title>References</title><ref id="scirp.94466-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Yuan, C., Wang, Z. and Zhou, Z. (2008) Wear Surface of Sliding Bearing and Its Abrasive Grain Characteristics under Different Wear Modes. 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