Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053095 | Applied Mathematical Modelling | 2013 | 19 Pages |
Abstract
In this article, the anti-plane deformation of a typical dissimilar sector consists of two sub-sectors attached to each other on one circular edge is studied. The solution of a Volterra type screw dislocation problem in the sector is obtained through finite Fourier cosine transform. Exact closed-form solutions for the displacement and stress fields are also presented. Next, using a distributed dislocation method, integral equations of the sectors weakened by cracks and cavities under an anti-plane traction are obtained. The defects are assumed to be located only in one of the sub-sector regions. The obtained equations for the latter problem are of the Cauchy singular type and have been solved numerically. Several examples are presented to demonstrate the efficiency and applicability of the proposed solution procedure. The geometric and force singularities of the stress field are studied and compared to those reported in the literature.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
R.T. Faal, A.R. Pasrad, A.S. Milani,