Commun. Comput. Phys., 12 (2012), pp. 226-246.


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

Degang Zhao 1, Jingfang Huang 2, Yang Xiang 3*

1 Nano Science and Technology Program, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong; and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China.
2 Department of Mathematics, The University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA.
3 Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong.

Received 25 January 2011; Accepted (in revised version) 21 June 2011
Available online 27 January 2012
doi:10.4208/cicp.250111.210611a

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.

AMS subject classifications: 74S15, 65R20, 74A10, 74B05

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Key words: Fast multipole method, boundary integral equation method, dislocation dynamics, stress.

*Corresponding author.
Email: dgzhao@mail.hust.edu.cn (D. G. Zhao), huang@amath.unc.edu (J. F. Huang), maxiang@ust.hk (Y. Xiang)
 

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