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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (5): 551-562.doi: https://doi.org/10.1007/s10483-011-1437-x

• Articles • 上一篇    下一篇

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

马杭1 郭钊2 秦庆华3   

  1. 1. Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
    3. School of Engineering, Australian National University, Canberra, ACT 0200, Australia
  • 收稿日期:2011-01-14 修回日期:2011-03-19 出版日期:2011-04-27 发布日期:2011-05-01

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

 MA Hang1, GUO Zhao2, QIN Qiang-Hua3   

  1. 1. Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
    3. School of Engineering, Australian National University, Canberra, ACT 0200, Australia
  • Received:2011-01-14 Revised:2011-03-19 Online:2011-04-27 Published:2011-05-01

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摘要： 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.

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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