Numerical analysis of the inclusion-crack interactions using an integral equation

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

doi:10.1007/s00466-002-0372-5

Numerical analysis of the inclusion-crack interactions using an integral equation

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

16 Citations (Scopus)

Abstract

A general-purpose integral formulation is proposed for the analysis of the interaction between inclusions and cracks embedded in an elastic isotropic homogeneous infinite medium subjected to a remote loading. This formulation is tailored for the inclusions of arbitrary shapes with the presence of cracks. The discretization is limited to the inclusions (with continuous quadratic triangular and quadrilateral elements) and the cracks (using discontinuous quadratic elements). For the calculation of the stress intensity factors at the crack tips, special crack tip elements are used to model the √r variation of the displacements near the crack tips. Maximum circumferential stress criterion is adopted to determine the crack propagating direction. Numerical results of benchmark examples are compared with other available methods.

Original language	English
Pages (from-to)	119-130
Number of pages	12
Journal	Computational Mechanics
Volume	30
Issue number	2
DOIs	https://doi.org/10.1007/s00466-002-0372-5
Publication status	Published - Jan 2003
Externally published	Yes

Keywords

Hydraulic fracturing
Inclusion-crack interaction
Integral equation

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title = "Numerical analysis of the inclusion-crack interactions using an integral equation",

abstract = "A general-purpose integral formulation is proposed for the analysis of the interaction between inclusions and cracks embedded in an elastic isotropic homogeneous infinite medium subjected to a remote loading. This formulation is tailored for the inclusions of arbitrary shapes with the presence of cracks. The discretization is limited to the inclusions (with continuous quadratic triangular and quadrilateral elements) and the cracks (using discontinuous quadratic elements). For the calculation of the stress intensity factors at the crack tips, special crack tip elements are used to model the √r variation of the displacements near the crack tips. Maximum circumferential stress criterion is adopted to determine the crack propagating direction. Numerical results of benchmark examples are compared with other available methods.",

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

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AU - Dong, C. Y.

AU - Lo, S. H.

AU - Cheung, Y. K.

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N2 - A general-purpose integral formulation is proposed for the analysis of the interaction between inclusions and cracks embedded in an elastic isotropic homogeneous infinite medium subjected to a remote loading. This formulation is tailored for the inclusions of arbitrary shapes with the presence of cracks. The discretization is limited to the inclusions (with continuous quadratic triangular and quadrilateral elements) and the cracks (using discontinuous quadratic elements). For the calculation of the stress intensity factors at the crack tips, special crack tip elements are used to model the √r variation of the displacements near the crack tips. Maximum circumferential stress criterion is adopted to determine the crack propagating direction. Numerical results of benchmark examples are compared with other available methods.

AB - A general-purpose integral formulation is proposed for the analysis of the interaction between inclusions and cracks embedded in an elastic isotropic homogeneous infinite medium subjected to a remote loading. This formulation is tailored for the inclusions of arbitrary shapes with the presence of cracks. The discretization is limited to the inclusions (with continuous quadratic triangular and quadrilateral elements) and the cracks (using discontinuous quadratic elements). For the calculation of the stress intensity factors at the crack tips, special crack tip elements are used to model the √r variation of the displacements near the crack tips. Maximum circumferential stress criterion is adopted to determine the crack propagating direction. Numerical results of benchmark examples are compared with other available methods.

KW - Hydraulic fracturing

KW - Inclusion-crack interaction

KW - Integral equation

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SP - 119

EP - 130

JO - Computational Mechanics

JF - Computational Mechanics

IS - 2

ER -

Numerical analysis of the inclusion-crack interactions using an integral equation

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Keywords

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