Mode III fracture analysis of an anisotropic finite wedge with an interfacial crack

Abstract

In this paper, the problem of two bonded anisotropic finite wedges with an interface crack subjected to anti-plane shear loading is investigated. The boundary conditions of radial edges are treated as traction–displacement conditions. The traction-free condition is applied on the circular segment of the wedge. Finite complex transforms, which have complex analogies to the standard finite Mellin transforms, have been used in order to solve this problem. The traction-free condition of the crack faces is expressed in an analytical form of a singular integral equation. The resultant singular integral equations are then solved numerically by use of the Chebyshev polynomial. The stress intensity factors at the crack tips are exhibited in various conditions. It is seen that, in general, the stress intensity factor is a function of the material property and apex angle of the wedge.

Keywords

Anti-plane shear deformation anisotropic elastic wedge stress intensity factor traction–displacement boundary conditions singular integral equation

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