Indentation Depth Dependent Mechanical Behavior in Polymers

<div>Elastic modulus of epoxy [<a href="/journals/acmp/2015/391579/#B25">25</a>] determined with a Berkovich tip, <svg height="11.8878pt" id="M267" style="vertical-align:-0.04979992pt" version="1.1" viewbox="-0.0498162 -11.838 27.3972 11.8878" width="27.3972pt" 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" id="g113-70"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="616" vert-adv-y="616"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,8.008,-5.741)"><path d="M387 665C175 665 46 498 46 318C46 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ascent="1007" descent="-369" horiz-adv-x="719" vert-adv-y="719"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,21.486,-5.741)"><path d="M46 650V618C122 613 130 611 130 522V128C130 46 123 40 40 32V0H319V32C227 40 217 42 217 128V279L292 260C303 259 322 258 338 261C436 272 534 337 534 467C534 534 508 580 469 609C428 640 371 650 299 650H46ZM217 558C217 585 220 596 228 603C235 610 256 615 284 615C367 615 435 571 435 463C435 339 358 304 291 304C256 304 229 310 217 317V558Z" id="g58-78"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="573" vert-adv-y="573"></glyph.data></g></svg>, (using Oliver and Pharr method [<a href="/journals/acmp/2015/391579/#B53">53</a>] with 20 s loading, holding, and unloading times) and with a spherical tip, <svg height="11.8878pt" id="M268" style="vertical-align:-0.04979992pt" version="1.1" viewbox="-0.0498162 -11.838 29.8268 11.8878" width="29.8268pt" 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" id="g113-70"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="616" vert-adv-y="616"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,8.008,-5.741)"><path d="M738 650H471V617C551 612 559 606 559 524V368H218V524C218 606 227 612 305 617V650H38V617C123 612 131 606 131 524V126C131 44 124 38 41 33V0H310V33C226 38 218 44 218 126V321H559V126C559 44 551 38 463 33V0H737V33C654 38 646 44 646 126V524C646 606 654 612 738 617V650Z" id="g58-70"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="777" vert-adv-y="777"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,14.86,-5.741)"><path d="M384 109C349 76 310 59 268 59C197 59 123 113 120 245C240 248 367 259 384 262C403 266 407 275 407 296C407 376 338 451 254 451H253C201 451 148 425 105 378C65 334 39 272 39 203C39 88 112 -12 235 -12C266 -12 339 5 402 84L384 109ZM230 411C285 411 319 365 319 313C319 298 313 293 294 293C236 291 180 290 125 290C141 370 185 411 230 411Z" id="g58-99"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="434" vert-adv-y="434"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,18.809,-5.741)"><path d="M185 344V453C137 433 92 421 41 413V386C100 378 104 375 104 310V106C104 41 97 35 33 30V0H268V30C190 35 185 41 185 107V283C206 340 240 371 267 371C282 371 296 364 310 351C316 344 325 343 336 348C357 357 369 378 369 399C369 424 345 451 310 451C262 451 219 397 187 344H185Z" id="g58-112"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="380" vert-adv-y="380"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,22.368,-5.741)"><path d="M303 37L293 66C280 59 256 49 231 49S173 63 173 143V396H281C294 404 298 428 287 439H173V575L158 577L92 509V439H46L17 408L22 396H92V107C92 27 128 -12 192 -12C203 -12 218 -9 237 2L303 37Z" id="g58-114"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="312" vert-adv-y="312"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,25.207,-5.741)"><path d="M394 142L380 118C343 58 321 37 246 37H148C231 169 310 295 394 423L387 439H154C117 439 106 445 99 460H75C67 417 51 354 40 313L70 303L83 330C110 386 125 401 192 401H284C201 269 121 142 33 17L40 0H375C391 40 408 87 423 127L394 142Z" id="g58-120"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="430" vert-adv-y="430"></glyph.data></g></svg>, (using Hertz theory with 20 s loading time).</div>

Advances in Condensed Matter Physics

Indentation Depth Dependent Mechanical Behavior in Polymers

Figure 27