Interaction between cracks and a circular inclusion in a finite plate with the distributed dislocation method

Jiong Zhang; Zhan Qu; Qiqing Huang; Lechun Xie; Cenbo Xiong

doi:10.1007/s00419-012-0722-5

Interaction between cracks and a circular inclusion in a finite plate with the distributed dislocation method

Jiong Zhang^*, Zhan Qu, Qiqing Huang, Lechun Xie, Cenbo Xiong

^*Corresponding author for this work

School of Mechanical Engineering

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

26 Citations (Scopus)

Abstract

This paper presents a numerical solution of interaction between cracks and a circular inclusion in a finite plate. Both the boundaries and the cracks are modeled by distributed dislocations. This approach will result in a set of singular integral equations with Cauchy kernels, which can be solved by Gauss-Chebyshev quadratures. Several numerical examples are given to assess the performance of the presented method. The solutions obtained by this method have been checked and confirmed by the finite element analysis results.

Original language	English
Pages (from-to)	861-873
Number of pages	13
Journal	Archive of Applied Mechanics
Volume	83
Issue number	6
DOIs	https://doi.org/10.1007/s00419-012-0722-5
Publication status	Published - Jun 2013

Keywords

Dislocation
Finite plate
Inclusion

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10.1007/s00419-012-0722-5

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abstract = "This paper presents a numerical solution of interaction between cracks and a circular inclusion in a finite plate. Both the boundaries and the cracks are modeled by distributed dislocations. This approach will result in a set of singular integral equations with Cauchy kernels, which can be solved by Gauss-Chebyshev quadratures. Several numerical examples are given to assess the performance of the presented method. The solutions obtained by this method have been checked and confirmed by the finite element analysis results.",

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AB - This paper presents a numerical solution of interaction between cracks and a circular inclusion in a finite plate. Both the boundaries and the cracks are modeled by distributed dislocations. This approach will result in a set of singular integral equations with Cauchy kernels, which can be solved by Gauss-Chebyshev quadratures. Several numerical examples are given to assess the performance of the presented method. The solutions obtained by this method have been checked and confirmed by the finite element analysis results.

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KW - Inclusion

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Interaction between cracks and a circular inclusion in a finite plate with the distributed dislocation method

Abstract

Keywords

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