A meshfree method based on the local partition of unity for cohesive cracks

被引：294

作者：

Rabczuk, Timon

Zi, Goangseup

机构：

[1] Tech Univ Munich, Inst Numer Mech, D-85748 Garching, Germany

[2] Korea Univ, Dept Civil & Environm Engn, Seoul 136701, South Korea

来源：

COMPUTATIONAL MECHANICS | 2007年 / 39卷 / 06期

关键词：

extended element-gree Galerkin method (XEFG); cracks; cohesive models; dynamic fracture;

D O I：

10.1007/s00466-006-0067-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will present a meshfree method based on the local partition of unity for cohesive cracks. The cracks are described by a jump in the displacement field for particles whose domain of influence is cut by the crack. Particles with partially cut domain of influence are enriched with branch functions. Crack propagation is governed by the material stability condition. Due to the smoothness and higher order continuity, the method is very accurate which is demonstrated for several quasi static and dynamic crack propagation examples.

引用

页码：743 / 760

页数：18

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