Crack nucleation sensitivity analysis
Crack nucleation sensitivity analysis
复制标题
裂纹形核敏感性分析
DOI：
--
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Antonio André Novotny
中科院分区：
文献类型：
--
作者：
N. Goethem;Antonio André Novotny
基于拓扑导数的概念，提出了一种简单的裂纹成核敏感性分析的解析表达式，并应用于二维线弹性断裂力学理论（LEFM）。特别地，计算了弹性裂纹体的总势能和Griffith型能量的拓扑渐近展开。作为主要结果，我们导出了一个基于拓扑导数的裂纹成核判据和一个基于拓扑梯度的裂纹扩展方向判据。所提出的方法导致一个公理化的方法裂纹形核敏感性分析。版权所有© 2010约翰威利父子有限公司.
A simple analytical expression for crack nucleation sensitivity analysis is proposed relying on the concept of topological derivative and applied within a two‐dimensional linear elastic fracture mechanics theory (LEFM). In particular, the topological asymptotic expansion of the total potential energy together with a Griffith‐type energy of an elastic cracked body is calculated. As a main result, we derive a crack nucleation criterion based on the topological derivative and a criterion for determining the direction of crack growth based on the topological gradient. The proposed methodology leads to an axiomatic approach of crack nucleation sensitivity analysis. Copyright © 2010 John Wiley & Sons, Ltd.