An integral equation approach to the inclusion-crack interactions in three-dimensional infinite elastic domain |
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Authors: | C Y Dong Y K Cheung S H Lo |
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Affiliation: | (1) Department of Civil Engineering, The University of Hong Kong, Hong Kong, HK |
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Abstract: | In this paper, an integral equation method to the inclusion-crack interaction problem in three-dimensional elastic medium
is presented. The method is implemented following the idea that displacement integral equation is used at the source points
situated in the inclusions, whereas stress integral equation is applied to source points along crack surfaces. The displacement
and stress integral equations only contain unknowns in displacement (in inclusions) and displacement discontinuity (along
cracks). The hypersingular integrals appearing in stress integral equation are analytically transferred to line integrals
(for plane cracks) which are at most weakly singular. Finite elements are adopted to discretize the inclusions into isoparametric
quadratic 10-node tetrahedral or 20-node hexahedral elements and the crack surfaces are decomposed into discontinuous quadratic
quadrilateral elements. Special crack tip elements are used to simulate the variation of displacements near the crack front. The stress intensity factors along the crack front are calculated. Numerical
results are compared with other available methods.
Received: 28 January 2002 / Accepted: 4 June 2002
The work described in this paper was partially supported by a grant from the Research Grant Council of the Hong Kong Special
Administration Region, China (Project No.: HKU 7101/99 E). |
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Keywords: | Integral equation method Cracks Inclusions Three dimensions |
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