A regularized domain integral formulation for inclusion problems of various shapes by equivalent inclusion method

C. Y. Dong; Y. K. Cheung; S. H. Lo

doi:10.1016/S0045-7825(02)00261-X

A regularized domain integral formulation for inclusion problems of various shapes by equivalent inclusion method

C. Y. Dong^*, Y. K. Cheung, S. H. Lo

^*Corresponding author for this work

The University of Hong Kong

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

27 Citations (Scopus)

Abstract

A method of regularized domain integral formulation with inclusion is presented to calculate the elastic stress/strain field in an infinite body characterized by inclusions of various shapes with isotropic, orthotropic or anisotropic material properties. In the given domain integral, the integrand containing the r^-1 singularity is overcome by the well-known subdivide technique. When the collocation point is located on the interface between the inclusion and the matrix, fictitious inclusion elements similar to the method used by Dong and Antes [Engrg. Anal. Bound. Elem. 22 (2) (1998) 133] are added to obtain a regularized domain integral formulation. The results obtained by the present method are compared with those from other formulations and good agreement is observed among these results.

Original language	English
Pages (from-to)	3411-3421
Number of pages	11
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	191
Issue number	31
DOIs	https://doi.org/10.1016/S0045-7825(02)00261-X
Publication status	Published - 24 May 2002
Externally published	Yes

Keywords

Domain integral formulation
Equivalent inclusion method
Inclusion problems

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10.1016/S0045-7825(02)00261-X

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title = "A regularized domain integral formulation for inclusion problems of various shapes by equivalent inclusion method",

abstract = "A method of regularized domain integral formulation with inclusion is presented to calculate the elastic stress/strain field in an infinite body characterized by inclusions of various shapes with isotropic, orthotropic or anisotropic material properties. In the given domain integral, the integrand containing the r-1 singularity is overcome by the well-known subdivide technique. When the collocation point is located on the interface between the inclusion and the matrix, fictitious inclusion elements similar to the method used by Dong and Antes [Engrg. Anal. Bound. Elem. 22 (2) (1998) 133] are added to obtain a regularized domain integral formulation. The results obtained by the present method are compared with those from other formulations and good agreement is observed among these results.",

keywords = "Domain integral formulation, Equivalent inclusion method, Inclusion problems",

author = "Dong, \{C. Y.\} and Cheung, \{Y. K.\} and Lo, \{S. H.\}",

year = "2002",

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TY - JOUR

T1 - A regularized domain integral formulation for inclusion problems of various shapes by equivalent inclusion method

AU - Dong, C. Y.

AU - Cheung, Y. K.

AU - Lo, S. H.

PY - 2002/5/24

Y1 - 2002/5/24

N2 - A method of regularized domain integral formulation with inclusion is presented to calculate the elastic stress/strain field in an infinite body characterized by inclusions of various shapes with isotropic, orthotropic or anisotropic material properties. In the given domain integral, the integrand containing the r-1 singularity is overcome by the well-known subdivide technique. When the collocation point is located on the interface between the inclusion and the matrix, fictitious inclusion elements similar to the method used by Dong and Antes [Engrg. Anal. Bound. Elem. 22 (2) (1998) 133] are added to obtain a regularized domain integral formulation. The results obtained by the present method are compared with those from other formulations and good agreement is observed among these results.

AB - A method of regularized domain integral formulation with inclusion is presented to calculate the elastic stress/strain field in an infinite body characterized by inclusions of various shapes with isotropic, orthotropic or anisotropic material properties. In the given domain integral, the integrand containing the r-1 singularity is overcome by the well-known subdivide technique. When the collocation point is located on the interface between the inclusion and the matrix, fictitious inclusion elements similar to the method used by Dong and Antes [Engrg. Anal. Bound. Elem. 22 (2) (1998) 133] are added to obtain a regularized domain integral formulation. The results obtained by the present method are compared with those from other formulations and good agreement is observed among these results.

KW - Domain integral formulation

KW - Equivalent inclusion method

KW - Inclusion problems

UR - https://www.scopus.com/pages/publications/0037166231

U2 - 10.1016/S0045-7825(02)00261-X

DO - 10.1016/S0045-7825(02)00261-X

M3 - Article

AN - SCOPUS:0037166231

SN - 0045-7825

VL - 191

SP - 3411

EP - 3421

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 31

ER -

A regularized domain integral formulation for inclusion problems of various shapes by equivalent inclusion method

Abstract

Keywords

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