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Chao, Ching‐Kong; Kao, B. G.

doi:10.1023/a:1007316332362

Cited by 17 publications

(2 citation statements)

References 15 publications

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“…By placing a continuous distribution of dislocation density along the crack L and applications of principle of superposition lead to the integral equation with logarithmic singular Kernels as follows: Finally, the mode-III stress intensity factors at the left and right tip of anti-plane line crack problems can be obtained accordingly as [2] ( ) ( )…”

Section: Solution Proceduresmentioning

confidence: 99%

“…The complex potential function can be used to study the interaction between a crack and multi-layered composites. Application of complex potential in conjunction with the analytical continuation technique [1], that is alternately applied across two different interfaces in order to derive the dislocation solution in a series form, has been introduced [2][3]. The logarithmic singular integrals are established by using dislocation solutions as the Green's function together with the principle superposition.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Anti-Plane Interaction of a Coated Circular Inclusion with a Crack Located in Matrix

Wikarta¹

2016

AMM

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In this study, the interaction between a coated circular inclusion with an anti-plane crack located in matrix is considered. The solution procedures for solving this problem consist of two parts. In the first part, based on the method of analytical continuation in conjunction with the alternating technique, the complex potential functions of screw dislocation interacting with multi-layered composites are obtained. The second part consists of the derivation of logarithmic singular integral equations by introducing the complex potential functions of screw dislocation along the crack border together with superposition technique. The logarithmic singular integral equations is the solved numerically by modeling a crack in place of several segments. Linear interpolation formulae with undetermined coefficients are applied to approximate the dislocation distribution along the elements, except at vicinity of crack tip where the dislocation distribution preserves a square-root singularity. The stress intensity factors are then obtained numerically in terms of the values of the dislocation density functions of the logarithmic singular integral equations.

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Section: Solution Proceduresmentioning

confidence: 99%