Stress Analysis of Three-Dimensional Media Containing Localized Zone by FEM-SGBEM Coupling

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left" rowspan="2">Nonzero elastic constants</td><td align="center" colspan="2">(×10<sup>6</sup>) psi</td></tr><tr><td align="center">Zinc</td><td align="center">Graphite-reinforced composite</td></tr><tr><td align="center" colspan="3"><hr/></td></tr><tr><td align="left"><span style="width: 33.787498px;"><svg height="14.2375" id="M212" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 33.787498 14.2375" width="33.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.02,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="8.7519999" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="13.128" y="0">1</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">16.09</td><td align="center">14.683</td></tr><tr><td align="left"><span style="width: 33.787498px;"><svg height="14.2375" id="M213" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 33.787498 14.2375" width="33.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.02,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="8.7519999" y="0">2</tspan>
<tspan style="font-size: 8.75px; " x="13.128" y="0">2</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">3.35</td><td align="center">6.986</td></tr><tr><td align="left"><span style="width: 33.787498px;"><svg height="14.3875" id="M214" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 33.787498 14.3875" width="33.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3875)">
<g transform="translate(72,-60.49)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.02,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="8.7519999" y="0">3</tspan>
<tspan style="font-size: 8.75px; " x="13.128" y="0">3</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">5.01</td><td align="center">5.689</td></tr><tr><td align="left"><span style="width: 33.787498px;"><svg height="14.3875" id="M215" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 33.787498 14.3875" width="33.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3875)">
<g transform="translate(72,-60.49)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.02,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">3</tspan>
<tspan style="font-size: 8.75px; " x="8.7519999" y="0">3</tspan>
<tspan style="font-size: 8.75px; " x="13.128" y="0">3</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">6.10</td><td align="center">144.762</td></tr><tr><td align="left"><span style="width: 33.787498px;"><svg height="14.3875" id="M216" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 33.787498 14.3875" width="33.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3875)">
<g transform="translate(72,-60.49)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.02,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">3</tspan>
<tspan style="font-size: 8.75px; " x="8.7519999" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="13.128" y="0">3</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">3.83</td><td align="center">4.050</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Nonzero elastic constants for zinc and graphite-reinforced composite (where axis of material symmetry is taken to direct along the <svg height="11.075" id="M211" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 14.8125 11.075" width="14.8125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.075)">
<g transform="translate(72,-63.14)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.07,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
</text>
</g>
</g>
</svg>-coordinate direction).

Mathematical Problems in Engineering

tab1

Table 1

Table 1: Stress Analysis of Three-Dimensional Media Containing Localized Zone by FEM-SGBEM Coupling 