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

Hang Ma; Zhao Guo; Qing Hua Qin

doi:10.1007/s10483-011-1437-x

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

Hang Ma^*, Zhao Guo, Qing Hua Qin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	551-562
Number of pages	12
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	32
Issue number	5
DOIs	https://doi.org/10.1007/s10483-011-1437-x
Publication status	Published - May 2011

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title = "Two-dimensional polynomial eigenstrain formulation of boundary integral equation with numerical verification",

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.",

keywords = "Eshelby tensor, boundary integral equation (BIE), eigenstrain, inhomogeneity Berlin Heidelberg, polynomial",

author = "Hang Ma and Zhao Guo and Qin, {Qing Hua}",

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AU - Ma, Hang

AU - Guo, Zhao

AU - Qin, Qing Hua

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N2 - 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.

AB - 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.

KW - Eshelby tensor

KW - boundary integral equation (BIE)

KW - eigenstrain

KW - inhomogeneity Berlin Heidelberg

KW - polynomial

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DO - 10.1007/s10483-011-1437-x

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SP - 551

EP - 562

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 5

ER -

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

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