Contribution to the Modelling of the Tribological Surface Transformations

<table>(a) Square material domain (measuring <svg height="10.9125" id="M88" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 53.099998 10.9125" width="53.099998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="12.503" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="22.917999" y="0">m</tspan>
<tspan style="font-size: 12.50px; " x="32.645332" y="0">m</tspan>
</text>
</g>
</g>
</svg> on each side) in the <svg height="7.1624999" id="M89" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1625)">
<g transform="translate(72,-66.27)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
</text>
</g>
</g>
</svg>-<svg height="9.8625002" id="M90" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 7.875 9.8625002" width="7.875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.8625)">
<g transform="translate(72,-64.11)">
<text transform="matrix(1,0,0,-1,-71.95,66.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑦</tspan>
</text>
</g>
</g>
</svg> plane (origin: <svg height="7.1875" id="M91" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.2874999 7.1875" width="7.2874999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1875)">
<g transform="translate(72,-66.25)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑜</tspan>
</text>
</g>
</g>
</svg>) and boundary conditions on <svg height="12.9125" id="M92" style="vertical-align:-1.95624pt" version="1.1" viewbox="0 0 38.412498 12.9125" width="38.412498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.9125)">
<g transform="translate(72,-61.67)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">[</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝐵</tspan>
<tspan style="font-size: 12.50px; " x="12.865587" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="18.066835" y="0">𝐶</tspan>
<tspan style="font-size: 12.50px; " x="26.456348" y="0">]</tspan>
</text>
</g>
</g>
</svg> (where <svg height="10.325" id="M93" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.75 10.325" width="11.75" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
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</g>
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</svg> denotes the pressure); (b) zoom of the refined mesh.</table>

International Scholarly Research Notices

fig2

Figure 2

Figure 2: Contribution to the Modelling of the Tribological Surface Transformations 