An ES-MITC3 Finite Element Method Based on Higher-Order Shear Deformation Theory for Static and Free Vibration Analyses of FG Porous Plates Reinforced by GPLs

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="8"><hr/></td></tr><tr class="thead"><td class="align_left">GPLs pattern</td><td class="align_center"><span style="width: 10.383ptpx;"><svg height="9.25202pt" id="M161" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 10.383 9.25202" width="10.383pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M391 364C391 409 353 448 295 448C249 448 198 426 152 393C65 331 23 225 23 139C23 14 96 -12 146 -12C198 -12 280 9 367 101L351 124C300 78 242 48 194 48C129 48 109 107 109 162V191C208 213 391 266 391 364ZM313 350C313 305 268 261 113 223C132 334 187 381 217 398C227 404 244 405 261 405C290 405 313 385 313 350Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.317,3.132)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z"></path></g></svg></span></td><td class="align_center">1</td><td class="align_center">2</td><td class="align_center">3</td><td class="align_center">4</td><td class="align_center">5</td><td class="align_center">6</td></tr><tr><td class="thead-hr" colspan="8"><hr/></td></tr><tr><td class="align_left" colspan="8">A-P</td></tr><tr><td class="align_left" rowspan="3">GPL-S</td><td class="align_center">0.2</td><td class="align_center">0.6911</td><td class="align_center">1.3811</td><td class="align_center">1.3924</td><td class="align_center">2.0181</td><td class="align_center">2.4384</td><td class="align_center">2.4551</td></tr><tr><td class="align_center">0.4</td><td class="align_center">0.6606</td><td class="align_center">1.3204</td><td class="align_center">1.3312</td><td class="align_center">1.9297</td><td class="align_center">2.3319</td><td class="align_center">2.3478</td></tr><tr><td class="align_center">0.6</td><td class="align_center">0.6179</td><td class="align_center">1.2362</td><td class="align_center">1.2464</td><td class="align_center">1.8081</td><td class="align_center">2.1859</td><td class="align_center">2.2006</td></tr><tr><td class="align_left" rowspan="3">GPL-A</td><td class="align_center">0.2</td><td class="align_center">0.6126</td><td class="align_center">1.2341</td><td class="align_center">1.2445</td><td class="align_center">1.8153</td><td class="align_center">2.2025</td><td class="align_center">2.2163</td></tr><tr><td class="align_center">0.4</td><td class="align_center">0.5814</td><td class="align_center">1.1717</td><td class="align_center">1.1815</td><td class="align_center">1.7240</td><td class="align_center">2.0920</td><td class="align_center">2.1051</td></tr><tr><td class="align_center">0.6</td><td class="align_center">0.5403</td><td class="align_center">1.0897</td><td class="align_center">1.0989</td><td class="align_center">1.6044</td><td class="align_center">1.9476</td><td class="align_center">1.9596</td></tr><tr><td class="align_left" rowspan="3">GPL-U</td><td class="align_center">0.2</td><td class="align_center">0.6265</td><td class="align_center">1.2621</td><td class="align_center">1.2727</td><td class="align_center">1.8563</td><td class="align_center">2.2522</td><td class="align_center">2.2663</td></tr><tr><td class="align_center">0.4</td><td class="align_center">0.5998</td><td class="align_center">1.2084</td><td class="align_center">1.2186</td><td class="align_center">1.7775</td><td class="align_center">2.1567</td><td class="align_center">2.1702</td></tr><tr><td class="align_center">0.6</td><td class="align_center">0.5637</td><td class="align_center">1.1362</td><td class="align_center">1.1457</td><td class="align_center">1.6719</td><td class="align_center">2.0290</td><td class="align_center">2.0416</td></tr><tr class="table-tr"><td colspan="8"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

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Mathematical Problems in Engineering

tab5

Table 5

Table 5: An ES-MITC3 Finite Element Method Based on Higher-Order Shear Deformation Theory for Static and Free Vibration Analyses of FG Porous Plates Reinforced by GPLs 

Table 5 | An ES-MITC3 Finite Element Method Based on Higher-Order Shear Deformation Theory for Static and Free Vibration Analyses of FG Porous Plates Reinforced by GPLs 