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Title: Interaction between a circular inclusion and a symmetrically branched crack
Authors: Lam, K.Y. 
Ong, P.P. 
Wude, N.
Keywords: Circular inclusion
Gauss-Chebychev quadrature
Green's functions
Issue Date: Feb-1998
Citation: Lam, K.Y.,Ong, P.P.,Wude, N. (1998-02). Interaction between a circular inclusion and a symmetrically branched crack. Theoretical and Applied Fracture Mechanics 28 (3) : 197-211. ScholarBank@NUS Repository.
Abstract: The interaction problem between a circular inclusion and a symmetrically branched crack embedded in an infinite elastic-medium is solved. The branched crack is modeled as three straight cracks which intersect at a common point and each crack is treated as a continuous contribution of edge dislocations. Green's functions are used to reduce the problem into a system of singular equations consisting of the distributions of Burger's dislocation vectors as unknown functions through the superposition technique. The resulting integral equations are solved numerically by the method of Gauss-Chebychev quadrature. The proposed integral equation approach is first verified for two limiting cases against the literature. More effort is paid on the effect of inclusion on both the Mode I and Mode II stress intensity factors at the branch tips. The effect of inclusion on the branching path is also investigated. © 1998 Published by Elsevier Science Ltd. All rights reserved.
Source Title: Theoretical and Applied Fracture Mechanics
ISSN: 01678442
Appears in Collections:Staff Publications

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