Stress computations on perforated polygonal domains

被引：10

作者：

Englund, J ^{[1
]}

Helsing, J ^{[1
]}

机构：

[1] Lund Univ, Ctr Math Sci, S-22100 Lund, Sweden

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2003年 / 27卷 / 05期

关键词：

multiply connected domain; V-notch; holes; notch stress intensity factor; stress concentration factor; Fredholm integral equation; fast multipole method;

D O I：

10.1016/S0955-7997(02)00160-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A high order accurate and fast algorithm is constructed for 2D stress problems on multiply connected finite domains. The algorithm is based on a Fredholm integral equation of the second kind with non-singular operators. The unknown quantity is the limit of an analytic function. On polygonal domains there is a trade-off between stability and rate of convergence. A moderate amount of precomputation in higher precision arithmetic increases the stability in difficult situations. Results for a loaded single edge notched specimen perforated with 1170 holes are presented. The general usefulness of integral equation methods is discussed. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：533 / 546

页数：14

共 58 条

[1] An additive Schwarz preconditioner for p-version boundary element approximation of the hypersingular operator in three dimensions [J].