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Fast Multipole Accelerated Boundary Integral Equation Method for Evaluating the Stress Field Associated with Dislocations in a Finite Medium

Published online by Cambridge University Press:  20 August 2015

Degang Zhao ,
Jingfang Huang  and
Yang Xiang
Degang Zhao*
Affiliation:
Nano Science and Technology Program, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Jingfang Huang*
Affiliation:
Department of Mathematics, The University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA
Yang Xiang*
Affiliation:
Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
*
Email:dgzhao@mail.hust.edu.cn
Email:huang@amath.unc.edu
Corresponding author.Email:maxiang@ust.hk
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Abstract

In this paper, we develop an efficient numerical method based on the boundary integral equation formulation and new version of fast multipole method to solve the boundary value problem for the stress field associated with dislocations in a finite medium. Numerical examples are presented to examine the influence from material boundaries on dislocations.

Keywords

74S1565R2074A1074B05Fast multipole methodboundary integral equation methoddislocation dynamicsstress
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 1 , July 2012 , pp. 226 - 246
Copyright
Copyright © Global Science Press Limited 2012

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