A domain decomposition based method for two-dimensional linear elastic fractures

被引：21
作者：
Liu, Zhijun [1 ]
Zheng, Hong [2 ]
Sun, Cong [3 ]
机构：
[1] Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China
[2] Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, Peoples R China
[3] Wuhan Municipal Construct Grp Co Ltd, Wuhan 430051, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2016年 / 66卷
基金：
中国国家自然科学基金;
关键词：
Domain decomposition; Williams' series; Numerical manifold method; Lagrange multiplier; Local refinement; Stress intensity factor; FINITE-ELEMENT-METHOD; HYBRID CRACK ELEMENT; NUMERICAL MANIFOLD METHOD; MESHFREE METHOD; ACCURATE DETERMINATION; PROPAGATION; COEFFICIENTS; SIMULATION; INITIATION; GROWTH;
D O I：
10.1016/j.enganabound.2016.01.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this study, the two-dimensional physical domain containing cracks is divided into several non overlapping parts: rectangular crack-tip regions around crack tips and the outer region without any crack tip. In each crack-tip region the displacement is approximated with Williams' series; while in the outer region it is approximated with numerical manifold interpolation. In order to balance accuracy and efficiency in solution, a transitional zone encompassing each crack-tip region is locally refined with a structured mesh. To avoid singular integration over a crack-tip region, the potential energy over every crack-tip region is transformed into the boundary integration. Three different methods to enforce compatibility on interfaces are compared, concluding the Lagrange multiplier method is superior over the other two. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：34 / 48
页数：15
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