A new integral equation formulation for the analysis of crack-inclusion interactions
โ Scribed by K. Y. Lam; J. M. Zhang; P. P. Ong
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 906 KB
- Volume
- 10-10
- Category
- Article
- ISSN
- 0178-7675
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โฆ Synopsis
A new mtegral equation method for the analysls of the interactions between cracks and elastic inclusions embedded in a two-dimensional, linearly elastic, isotropic infinite medium subjected to in-plane force is presented. By distributing dislocations along the crack lines and forces along the matrix-inclusion interfaces, a set ofcoupled integral equations is obtained. The discretization procedure of the integrals involved is discussed and the relations between the stress lntensity factors and the values of the dislocation functions at the respective crack tips are derived. Several sample problems are presented in order to determine the versatility and the accuracy of this approach.
๐ SIMILAR VOLUMES
In this paper, the torsion problem of a composite cylinder with cracks and inclusions is investigated. Firstly, a linear inclusion model is proposed and the fundamental solution of this model is obtained. With the help of this solution together with Muskhelishvili's single-layer potential function a
The integral equation formulations of an infinite homogeneous isotropic medium containing various inclusions, cracks and rigid lines are presented. The present integral equation formulations contain the displacements (no tractions) over the inclusion-matrix interfaces, the discontinuous displacement