Fast and accurate numerical solution to an elastostatic problem involving ten thousand randomly oriented cracks

被引：30

作者：

Johan Helsing

机构：

[1] Royal Institute of Technology,Department of Solid Mechanics and NADA

来源：

International Journal of Fracture | 2000年 / 100卷 / 4期

关键词：

Multiple cracks; random aggregate; integral equation of Fredholm type; effective elastic moduli; large-scale calculation; GMRES; fast multipole method;

D O I：

10.1023/A:1018768326334

中图分类号：

学科分类号：

摘要：

An algorithm is presented for the multiple crack problem in planar linear elastostatics. The algorithm has three important properties: it is stable, it is adaptive, and its complexity is linear. This means that high accuracy can be achieved and that large-scale problems can be treated. In a numerical example stress fields are accurately computed in a mechanically loaded material containing 10,000 randomly oriented cracks. The computing time is about two and a half hours on a regular workstation.

引用

页码：321 / 327

页数：6

共 30 条

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