Thermal Buckling of Piezoelectric Composite Beam

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left">  Voltage (<svg height="10.6375" id="M254" style="vertical-align:-0.13792pt" version="1.1" viewbox="0 0 11.4125 10.6375" width="11.4125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6375)">
<g transform="translate(72,-63.49)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">V</tspan>
</text>
</g>
</g>
</svg>)</td><td align="center">
												0
											</td><td align="center">
												200
											</td><td align="center">
												−200
											</td><td align="center">
												500
											</td><td align="center">
												−500
											</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left"><svg height="10.725" id="M255" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 11.375 10.725" width="11.375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.725)">
<g transform="translate(72,-63.42)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑆</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.725" id="M256" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 11.375 10.725" width="11.375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.725)">
<g transform="translate(72,-63.42)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑆</tspan>
</text>
</g>
</g>
</svg></td><td align="center">153.38994</td><td align="center">149.04308</td><td align="center">157.73679</td><td align="center">142.52281</td><td align="center">164.25707</td></tr><tr><td align="left"><svg height="10.6125" id="M257" style="vertical-align:-0.15048pt" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6125)">
<g transform="translate(72,-63.51)">
<text transform="matrix(1,0,0,-1,-71.95,63.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐶</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.6125" id="M258" style="vertical-align:-0.15048pt" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6125)">
<g transform="translate(72,-63.51)">
<text transform="matrix(1,0,0,-1,-71.95,63.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐶</tspan>
</text>
</g>
</g>
</svg></td><td align="center">606.25793</td><td align="center">601.91107</td><td align="center">610.60478</td><td align="center">595.39080</td><td align="center">617.12506</td></tr><tr><td align="left"><svg height="10.6125" id="M259" style="vertical-align:-0.15048pt" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6125)">
<g transform="translate(72,-63.51)">
<text transform="matrix(1,0,0,-1,-71.95,63.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐶</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.725" id="M260" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 11.375 10.725" width="11.375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.725)">
<g transform="translate(72,-63.42)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑆</tspan>
</text>
</g>
</g>
</svg></td><td align="center">312.23341</td><td align="center">307.88656</td><td align="center">316.58027</td><td align="center">301.36629</td><td align="center">323.10054</td></tr><tr><td align="left"><svg height="10.6125" id="M261" style="vertical-align:-0.15048pt" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6125)">
<g transform="translate(72,-63.51)">
<text transform="matrix(1,0,0,-1,-71.95,63.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐶</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.325" id="M262" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.6875 10.325" width="11.6875" 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">𝑅</tspan>
</text>
</g>
</g>
</svg></td><td align="center">153.38994</td><td align="center">149.04308</td><td align="center">157.73679</td><td align="center">142.52281</td><td align="center">164.25707</td></tr><tr><td align="left"><svg height="10.725" id="M263" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 11.375 10.725" width="11.375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.725)">
<g transform="translate(72,-63.42)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑆</tspan>
</text>
</g>
</g>
</svg>-<svg height="10.325" id="M264" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.6875 10.325" width="11.6875" 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">𝑅</tspan>
</text>
</g>
</g>
</svg></td><td align="center">38.464062</td><td align="center">34.117211</td><td align="center">42.81091</td><td align="center">27.59693</td><td align="center">49.33119</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Effect of applied voltage on <svg height="14.6875" id="M253" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 29.625 14.6875" width="29.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6875)">
<g transform="translate(72,-60.25)">
<text transform="matrix(1,0,0,-1,-71.95,63.52)">
<tspan style="font-size: 12.50px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">𝑇</tspan>
</text>
<text transform="matrix(1,0,0,-1,-56.05,60.4)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑐</tspan>
<tspan style="font-size: 8.75px; " x="3.6320801" y="0">𝑟</tspan>
</text>
</g>
</g>
</svg> (three-layered cross-ply composite beam).

International Scholarly Research Notices

Thermal Buckling of Piezoelectric Composite Beam

Table 5