Dynamic Stability of Crack Fronts: Out-Of-Plane Corrugations

被引：18

作者：

Adda-Bedia, Mokhtar ^{[1
,2
]}

Arias, Rodrigo E. ^{[3
]}

Bouchbinder, Eran ^{[4
]}

Katzav, Eytan ^{[5
]}

机构：

[1] Univ Paris 06, Lab Phys Stat, Ecole Normale Super, Paris 6, France

[2] Univ Paris Diderot, CNRS, F-75005 Paris, France

[3] Univ Chile, Fac Ciencias Fis & Matemat, Dept Fis, Santiago 8370449, Chile

[4] Weizmann Inst Sci, Dept Chem Phys, IL-76100 Rehovot, Israel

[5] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 01期

关键词：

BRITTLE-FRACTURE DYNAMICS; ARBITRARY PATHS; MOVING CRACK; MICROBRANCHING INSTABILITY; BRANCHING INSTABILITY; WEIGHT-FUNCTIONS; WAVES; PROPAGATION; HYPERELASTICITY;

D O I：

10.1103/PhysRevLett.110.014302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dynamics and stability of brittle cracks are not yet fully understood. Here we use the Willis-Movchan 3D linear perturbation formalism [J. Mech. Phys. Solids 45, 591 (1997)] to study the out-ofplane stability of planar crack fronts in the framework of linear elastic fracture mechanics. We discuss a minimal scenario in which linearly unstable crack front corrugations might emerge above a critical front propagation speed. We calculate this speed as a function of Poisson's ratio and show that corrugations propagate along the crack front at nearly the Rayleigh wave speed. Finally, we hypothesize about a possible relation between such corrugations and the long-standing problem of crack branching. DOI: 10.1103/PhysRevLett.110.014302

引用

页数：5

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