Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left"><i>i</i></td><td class="align_center">Layer type</td><td class="align_center"><i>h</i><sub><i>i</i></sub>(mm)</td><td class="align_center"><svg height="11.927pt" id="M131" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 11.1281 11.927" width="11.1281pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.943,3.132)"><path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path></g></svg>(MPa)</td><td class="align_center"><span style="width: 10.0711ptpx;"><svg height="9.39034pt" id="M132" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 10.0711 9.39034" width="10.0711pt" 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="M538 96L524 119C492 88 454 63 446 63C439 63 434 70 440 101C463 223 491 341 518 448H508L433 422L401 276C355 192 240 56 188 56C163 56 154 89 163 133C184 233 207 338 235 443L230 448L152 424L58 17C40 -60 23 -143 23 -185C23 -241 42 -261 63 -261C92 -261 117 -241 125 -227L124 -221C109 -209 89 -165 89 -103C89 -55 96 -13 105 26H107C121 -3 134 -12 151 -12C172 -12 194 -5 221 16C279 61 330 124 384 194H386C381 159 377 141 368 105C343 3 363 -12 383 -12C416 -12 486 35 538 96Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.89,3.132)"><path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">1</td><td class="align_center">Face</td><td class="align_center">16</td><td class="align_center">40000</td><td class="align_center">0.3</td></tr><tr><td class="align_left">2</td><td class="align_center">Adhesive</td><td class="align_center">4</td><td class="align_center">9000</td><td class="align_center">0.3</td></tr><tr><td class="align_left">3</td><td class="align_center">Permeation</td><td class="align_center"><i>h</i><sub>3</sub></td><td class="align_center"><span style="width: 101.694ptpx;"><svg height="15.4397pt" id="M133" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -12.2582 101.694 15.4397" width="101.694pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.943,3.132)"><path d="M414 144C384 79 371 75 317 75H135L276 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class="align_center">Face</td><td class="align_center">16</td><td class="align_center">40000</td><td class="align_center">0.3</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The thickness and material properties for each layer in the sandwich arch with seven layers.</div>

Advances in Polymer Technology

tab5

Table 5

Table 5: Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive 