Derivation of Universal Curves for Nonlinear Soil Consolidation with Potential Constitutive Dependences

<div><svg height="9.14241pt" id="M264" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 11.162 9.14241" width="11.162pt" 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="M574 449L545 460C526 432 516 430 487 430C404 430 311 435 226 435C104 435 56 379 25 341L43 318C81 354 121 372 181 372C161 246 87 53 23 3L30 -12C48 -12 88 -4 113 11C157 75 207 248 232 371L386 367L326 109C321 86 318 66 318 50C318 4 339 -12 366 -12C410 -12 461 21 505 69L492 96C467 79 434 60 418 60C406 60 400 78 411 147C422 217 439 300 457 366C487 366 524 367 536 370C547 385 558 408 574 449Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.358,3.132)"><path d="M308 0V33C225 38 217 44 217 128V521C217 605 225 612 308 617V650H39V617C122 612 130 605 130 521V128C130 44 122 38 39 33V0H308Z"></path></g></svg> as a function of <svg height="9.14241pt" id="M265" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 14.3406 9.14241" width="14.3406pt" 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="M574 449L545 460C526 432 516 430 487 430C404 430 311 435 226 435C104 435 56 379 25 341L43 318C81 354 121 372 181 372C161 246 87 53 23 3L30 -12C48 -12 88 -4 113 11C157 75 207 248 232 371L386 367L326 109C321 86 318 66 318 50C318 4 339 -12 366 -12C410 -12 461 21 505 69L492 96C467 79 434 60 418 60C406 60 400 78 411 147C422 217 439 300 457 366C487 366 524 367 536 370C547 385 558 408 574 449Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.358,3.132)"><path d="M308 0V33C225 38 217 44 217 128V521C217 605 225 612 308 617V650H39V617C122 612 130 605 130 521V128C130 44 122 38 39 33V0H308Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.525,3.132)"><path d="M308 0V33C225 38 217 44 217 128V521C217 605 225 612 308 617V650H39V617C122 612 130 605 130 521V128C130 44 122 38 39 33V0H308Z"></path></g></svg> with <i>ᴪ</i> as parameter.</div>

Mathematical Problems in Engineering

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Figure 4

Figure 4: Derivation of Universal Curves for Nonlinear Soil Consolidation with Potential Constitutive Dependences 