Dynamic instabilities of fracture under biaxial strain using a phase field model

被引：178

作者：

Henry, H ^{[1
]}

Levine, H ^{[1
]}

机构：

[1] Univ Calif San Diego, Ctr Theoret Biol Phys, La Jolla, CA 92093 USA

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 93卷 / 10期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.93.105504

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a phase-field model of the propagation of fracture under plane strain. This model, based on simple physical considerations, is able to accurately reproduce the different behavior of cracks (the principle of local symmetry, the Griffith and Irwin criteria, and mode-I branching). In addition, we test our model against recent experimental findings showing the presence of oscillating cracks under biaxial load. Our model again reproduces well observed supercritical Hopf bifurcation and is therefore the first simulation which does so.

引用

页码：105504 / 1

页数：4

共 21 条

[1] CRACK INSTABILITIES OF A HEATED GLASS STRIP [J].

ADDABEDIA, M ;

POMEAU, Y .

PHYSICAL REVIEW E, 1995, 52 (04) :4105-4113

[2]

ADDABEDIA M, IN PRESS J MECH PHYS

[3] Continuum field description of crack propagation [J].

Aranson, IS ;

Kalatsky, VA ;

Vinokur, VM .

PHYSICAL REVIEW LETTERS, 2000, 85 (01) :118-121

[4] Dynamical instabilities of quasistatic crack propagation under thermal stress [J].

Bouchbinder, E ;

Hentschel, HGE ;

Procaccia, I .

PHYSICAL REVIEW E, 2003, 68 (03) :13

[5] Oscillating fracture paths in rubber [J].

Deegan, RD ;

Petersan, PJ ;

Marder, M ;

Swinney, HL .

PHYSICAL REVIEW LETTERS, 2002, 88 (01) :4-143044

[6] Fracture in mode I using a conserved phase-field model [J].

Eastgate, LO ;

Sethna, JP ;

Rauscher, M ;

Cretegny, T ;

Chen, CS ;

Myers, CR .

PHYSICAL REVIEW E, 2002, 65 (03) :1-036117

[7] A critical evaluation of cohesive zone models of dynamic fracture [J].

Falk, ML ;

Needleman, A ;

Rice, JR .

JOURNAL DE PHYSIQUE IV, 2001, 11 (PR5) :43-50

[8] Instability in dynamic fracture [J].

Fineberg, J ;

Marder, M .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1999, 313 (1-2) :1-108

[9] INSTABILITY IN DYNAMIC FRACTURE [J].

FINEBERG, J ;

GROSS, SP ;

MARDER, M ;

SWINNEY, HL .

PHYSICAL REVIEW LETTERS, 1991, 67 (04) :457-460

[10]

Freund L. B., 1990, DYNAMIC FRACTURE MEC

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