On crack propagation shapes in elastic bodies

被引：11
|
作者：
Brokate M. [1 ]
Khludnev A. [2 ]
机构：
[1] Zentrum Mathematik, TU München
[2] Lavrentyev Inst. of Hydrodynamics, Russian Academy of Sciences
来源：
Zeitschrift für angewandte Mathematik und Physik ZAMP | 2004年 / 55卷 / 2期
关键词：
Crack propagation; Fracture mechanics; Griffith criterion; Linear elasticity; Shape dependence;
D O I：
10.1007/s00033-003-3026-3
中图分类号：
学科分类号：
摘要：
We consider a two dimensional elastic Isotropic body with a curvilinear crack, The formula for the derivative of the energy functional with respect to the crack length is discussed. It is proved that this derivative is independent of the crack path provided that we consider quite smooth crack propagation shapes. An estimate for the derivative of the energy functional being uniform with respect to the crack propagation shape is derived.
引用
收藏
页码：318 / 329
页数：11
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