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Two-dimensional polynomial eigenstrain formulation of boundary integral equation with numerical verification

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Abstract

The low-order polynomial-distributed eigenstrain formulation of the boundary integral equation (BIE) and the corresponding definition of the Eshelby tensors are proposed for the elliptical inhomogeneities in two-dimensional elastic media. Taking the results of the traditional subdomain boundary element method (BEM) as the control, the effectiveness of the present algorithm is verified for the elastic media with a single elliptical inhomogeneity. With the present computational model and algorithm, significant improvements are achieved in terms of the efficiency as compared with the traditional BEM and the accuracy as compared with the constant eigenstrain formulation of the BIE.

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Authors and Affiliations

  1. Department of Mechanics, College of Sciences, Shanghai University, Shanghai, 200444, P. R. China

    Hang Ma  (马 杭)

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, P. R. China

    Zhao Guo  (郭 钊)

  3. School of Engineering, Australian National University, Canberra, ACT, 0200, Australia

    Qing-hua Qin  (秦庆华)

Authors
  1. Hang Ma  (马 杭)
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  2. Zhao Guo  (郭 钊)
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  3. Qing-hua Qin  (秦庆华)
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Corresponding author

Correspondence to Hang Ma  (马 杭).

Additional information

Project supported by the National Natural Science Foundation of China (No. 10972131) and the Graduate Innovation Foundation of Shanghai University (No. SHUCX102351)

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Ma, H., Guo, Z. & Qin, Qh. Two-dimensional polynomial eigenstrain formulation of boundary integral equation with numerical verification. Appl. Math. Mech.-Engl. Ed. 32, 551–562 (2011). https://doi.org/10.1007/s10483-011-1437-x

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  • DOI: https://doi.org/10.1007/s10483-011-1437-x

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2010 Mathematics Subject Classification

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