A level set method for the numerical simulation of damage evolution

被引：0
|
作者：
Allaire, Gregoire [1 ]
Jouve, Francois [2 ]
Van Goethem, Nicolas [1 ]
机构：
[1] Ecole Polytech, CMAP, CNRS, F-91128 Palaiseau, France
[2] Univ Paris 07, Laboratoire J L Lions, F-75252 Paris, France
来源：
ICIAM 07: 6TH INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS | 2009年
关键词：
Damage; elasticity; level set method; shape derivative; SENSITIVITY; OPTIMIZATION; TOPOLOGY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the numerical simulation of the evolution of damage in brittle materials following the Francfort-Marigo model. This model is based on a Griffith energy criterion for the competition between the two phases, healthy and damaged, separated by a sharp interface. In a quasi-static and irreversible framework, the damage configuration is obtained by minimizing a total energy using a gradient descent method. The interface is modeled by a level set function which is advected by the energy gradient issued from a shape derivation. The nucleation of the damaged zone is obtained by using the so-called topological derivative. Several numerical examples in 2-d and 3-d are discussed.
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页码：3 / +
页数：3
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