Antiplane stress analysis of transversely isotropic circular plates weakened by multiple defects

Authors

Abstract

In this article, the antiplane stress analysis of a transversely isotropic circular plane weakened by multiple defects is accomplished. The solution of a screw dislocation problem in a circular plane is first obtained by means of a finite Fourier sin transform.  Next, using the resultant dislocation solution, integral equations of the circular plane with arbitrary number of cracks are obtained. The numerical solution of ensuing integral equations which are of the Cauchy type singular leads to evaluation of dislocation density on the crack surfaces. Using corresponding dislocation density, the stress intensity factors of crack tips for some examples are attained.

Keywords


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