Evaluation of J1 and J2 integrals for curved cracks using an enriched boundary element method

被引：23

作者：

Simpson, R. ^{[1
]}

Trevelyan, J. ^{[1
]}

机构：

[1] Univ Durham, Sch Engn & Comp Sci, Durham DH1 3LE, England

来源：

ENGINEERING FRACTURE MECHANICS | 2011年 / 78卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

BEM; Fracture; J-integral; J(1); J(2) enrichment; EXTENDED FINITE-ELEMENTS; MESHFREE METHOD; TIP ELEMENTS; X-FEM; IMPLEMENTATION; PROPAGATION; COMPUTATION; STRAIN;

D O I：

10.1016/j.engfracmech.2010.12.006

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper introduces an enriched Boundary Element Method in which functions are introduced that are known to model singularities or discontinuities from a priori knowledge of the solution space. Additional fundamental solutions are introduced to solve for the additional unknowns created by enrichment and a numerical integration routine is outlined for the evaluation of strongly singular and hypersingular enriched boundary integrals. The solution of a curved crack in an infinite domain by Muskhelishvili is used to assess the accuracy of the method. Using an appropriate technique to evaluate J(1) and J(2) integrals, it is found that very good agreement with the exact solution is seen with improvements in accuracy over similar FEM implementations. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：623 / 637

页数：15