Universal Shapes Formed by Two Interacting Cracks

被引：38

作者：

Fender, Melissa L. ^{[1
]}

Lechenault, Frederic ^{[1
,2
]}

Daniels, Karen E. ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Phys, Raleigh, NC 27695 USA

[2] Univ Montpellier 2, CNRS UM2, LCVN, UMR 5587, F-34095 Montpellier, France

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 12期

关键词：

OVERLAPPING SPREADING CENTERS; FRACTURE; FRAGMENTATION; PROPAGATION; PATTERNS; LINKAGE; GROWTH; SOLIDS; FAULTS;

D O I：

10.1103/PhysRevLett.105.125505

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the origins of the widely observed "en passant" crack pattern, which forms through interactions between two approaching cracks. A rectangular elastic plate is notched on each long side and then subjected to quasistatic uniaxial strain from the short side. The two cracks propagate along approximately straight paths until they pass each other, after which they curve and release a lenticular fragment. We find that, for materials with diverse mechanical properties, the shape of this fragment has an aspect ratio of 2:1, with the length scale set by the initial crack offset s and the time scale set by the ratio of s to the pulling velocity. The cracks have a universal square root shape, which we understand by using a simple geometric model of the crack-crack interaction.

引用

页数：4

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