Numerical solution of 3D elastostatic inclusion problems using the volume integral equation method

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

doi:10.1016/S0045-7825(02)00534-0

Numerical solution of 3D elastostatic inclusion problems using the volume integral equation method

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

^*Corresponding author for this work

The University of Hong Kong

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

18 Citations (Scopus)

Abstract

A volume integral equation technique developed by Lee and Mal (J. Appl. Mech. Trans. ASME 64 (1997) 23) has been extended to investigate three-dimensional stress problems with multiple inclusions of various shapes. Based on the volume integral formulation, displacement continuity and traction equilibrium along the interfaces between the matrix and the inclusions are automatically satisfied. While the embedding matrix is represented by an integral formulation, only the inclusion parts are discretized into finite elements (isoparametric quadratic 10-node tetrahedral or 20-node hexahedral elements are used in the present study). A number of numerical examples are given to show the accuracy and effectiveness of the proposed method.

Original language	English
Pages (from-to)	95-106
Number of pages	12
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	192
Issue number	1-2
DOIs	https://doi.org/10.1016/S0045-7825(02)00534-0
Publication status	Published - 3 Jan 2003
Externally published	Yes

Keywords

3D problems
Finite elements
Inclusions
Volume integral equation

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10.1016/S0045-7825(02)00534-0

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title = "Numerical solution of 3D elastostatic inclusion problems using the volume integral equation method",

abstract = "A volume integral equation technique developed by Lee and Mal (J. Appl. Mech. Trans. ASME 64 (1997) 23) has been extended to investigate three-dimensional stress problems with multiple inclusions of various shapes. Based on the volume integral formulation, displacement continuity and traction equilibrium along the interfaces between the matrix and the inclusions are automatically satisfied. While the embedding matrix is represented by an integral formulation, only the inclusion parts are discretized into finite elements (isoparametric quadratic 10-node tetrahedral or 20-node hexahedral elements are used in the present study). A number of numerical examples are given to show the accuracy and effectiveness of the proposed method.",

keywords = "3D problems, Finite elements, Inclusions, Volume integral equation",

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

year = "2003",

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doi = "10.1016/S0045-7825(02)00534-0",

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T1 - Numerical solution of 3D elastostatic inclusion problems using the volume integral equation method

AU - Dong, C. Y.

AU - Lo, S. H.

AU - Cheung, Y. K.

PY - 2003/1/3

Y1 - 2003/1/3

N2 - A volume integral equation technique developed by Lee and Mal (J. Appl. Mech. Trans. ASME 64 (1997) 23) has been extended to investigate three-dimensional stress problems with multiple inclusions of various shapes. Based on the volume integral formulation, displacement continuity and traction equilibrium along the interfaces between the matrix and the inclusions are automatically satisfied. While the embedding matrix is represented by an integral formulation, only the inclusion parts are discretized into finite elements (isoparametric quadratic 10-node tetrahedral or 20-node hexahedral elements are used in the present study). A number of numerical examples are given to show the accuracy and effectiveness of the proposed method.

AB - A volume integral equation technique developed by Lee and Mal (J. Appl. Mech. Trans. ASME 64 (1997) 23) has been extended to investigate three-dimensional stress problems with multiple inclusions of various shapes. Based on the volume integral formulation, displacement continuity and traction equilibrium along the interfaces between the matrix and the inclusions are automatically satisfied. While the embedding matrix is represented by an integral formulation, only the inclusion parts are discretized into finite elements (isoparametric quadratic 10-node tetrahedral or 20-node hexahedral elements are used in the present study). A number of numerical examples are given to show the accuracy and effectiveness of the proposed method.

KW - 3D problems

KW - Finite elements

KW - Inclusions

KW - Volume integral equation

UR - https://www.scopus.com/pages/publications/0037414948

U2 - 10.1016/S0045-7825(02)00534-0

DO - 10.1016/S0045-7825(02)00534-0

M3 - Article

AN - SCOPUS:0037414948

SN - 0045-7825

VL - 192

SP - 95

EP - 106

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 1-2

ER -

Numerical solution of 3D elastostatic inclusion problems using the volume integral equation method

Abstract

Keywords

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