Fracture Mechanics Analysis of Cracked Wedges Under Various Varying Distributed Loadings

In this paper, the problem of two bonded anisotropic ?nite wedges with an interface crack subjected to anti-plane distributed shear loading is investigated. The boundary conditions on radial edges were traction-displacement, and a traction-free condition was applied to the circular segment of the wedge. The anti-plane shear loading was distributed in some familiar mathematical forms, namely linear, quadratic, exponential and sinusoidal. Since there is the response of the problem with Dirac-Delta boundary condition, a basic mathematical concept, namely Convolution Integral, was used for finding shear stress distribution on the wedge, which is imposed by varying distributed loadings. Application of this concept in finding the shear stress distribution on the wedge is what distinguishes this investigation from other analyses in the discipline. First, numerical response of the problem under quadratic loading was validated by ABAQUS software response and then numerical responses of the problem under other forms of varying distributed loading were calculated separately.