A quasi-static phase-field approach to pressurized fractures

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OriginalspracheEnglisch
Aufsatznummer1371
Seiten (von - bis)1371-1399
Seitenumfang29
FachzeitschriftNONLINEARITY
Jahrgang28
Ausgabenummer5
PublikationsstatusVeröffentlicht - 1 Mai 2015
Extern publiziertJa

Abstract

In this paper we present a quasi-static formulation of a phase-field model for a pressurized crack in a poroelastic medium. The mathematical model represents a linear elasticity system with a fading Gassman tensor as the crack grows, that is coupled with a variational inequality for the phase-field variable containing an entropy inequality. We introduce a novel incremental approximation that decouples displacement and phase-field problems. We establish convergence to a solution of the quasi-static problem, including Rice's condition, when the time discretization step goes to zero. Numerical experiments confirm the robustness and efficiency of this approach for multidimensional test cases.

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A quasi-static phase-field approach to pressurized fractures. / Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas.
in: NONLINEARITY, Jahrgang 28, Nr. 5, 1371, 01.05.2015, S. 1371-1399.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Mikelić A, Wheeler MF, Wick T. A quasi-static phase-field approach to pressurized fractures. NONLINEARITY. 2015 Mai 1;28(5):1371-1399. 1371. doi: 10.1088/0951-7715/28/5/1371
Mikelić, Andro ; Wheeler, Mary F. ; Wick, Thomas. / A quasi-static phase-field approach to pressurized fractures. in: NONLINEARITY. 2015 ; Jahrgang 28, Nr. 5. S. 1371-1399.
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