2D Quasi-Static Accurate Solutions for Isotropic Thermoelastic Materials with Applications

<div>Stress contour <svg height="16.5266pt" id="M136" style="vertical-align:-4.9352pt" version="1.1" viewbox="-0.0498162 -11.5914 44.9974 16.5266" width="44.9974pt" 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="M471 456L444 459C426 433 414 430 388 430C324 430 270 434 216 434C103 434 51 374 23 338L43 317C96 366 146 380 221 375L154 109C149 86 147 68 147 52C147 4 168 -12 197 -12C240 -12 291 25 334 71L320 96C295 75 268 58 252 58C238 58 227 79 238 138C251 211 272 296 292 372C310 372 332 368 350 368C391 368 421 369 434 371C444 388 455 413 471 456Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,5.434,3.132)"><path d="M393 394C393 429 352 451 301 451C249 451 201 435 151 403C80 357 24 280 24 184C24 97 55 45 136 20C156 14 170 10 203 3C252 -8 267 -27 267 -55C267 -86 242 -121 227 -139L248 -155C277 -139 343 -92 343 -17C343 39 308 57 242 76L178 95C122 113 104 154 104 216C104 325 173 401 246 401C281 401 307 393 332 358C339 348 344 343 353 344C374 346 393 372 393 394Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.23,3.132)"><path d="M435 683C435 695 433 700 417 700C380 700 311 676 267 649C217 655 198 677 198 698C198 713 202 725 205 731L185 739C156 728 122 706 122 679C122 646 165 618 221 611C170 578 115 533 115 461C115 416 145 377 177 365C103 329 24 261 24 163C24 72 81 34 155 14C181 7 201 3 222 -1C284 -14 298 -34 298 -59C298 -97 254 -151 235 -171L262 -194C285 -179 378 -110 378 -28C378 14 343 58 273 70C248 74 219 80 190 89C140 104 109 134 109 190C109 259 165 325 225 350C251 343 285 340 318 340C334 340 376 381 376 403C376 416 372 420 355 420C323 420 284 410 258 403C221 409 194 444 194 490C194 540 236 586 274 608C317 608 364 613 388 623C408 631 435 653 435 683Z"></path></g><g transform="matrix(.013,0,0,-0.013,16.839,0)"><path d="M528 54L331 254L528 455L492 493L294 291L96 493L60 455L257 254L60 54L96 16L294 217L492 16L528 54Z"></path></g><g transform="matrix(.013,0,0,-0.013,27.376,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,33.616,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,39.902,-5.741)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path></g></svg> under the distributed pulse heat source.</div>

Mathematical Problems in Engineering

fig9

Figure 9

Figure 9: 2D Quasi-Static Accurate Solutions for Isotropic Thermoelastic Materials with Applications 