Abstract
Three-dimensional analysis is performed for a transversely isotropic solid containing a half plane crack subjected to point shear forces varying with time as a Heaviside function on the crack faces at a finite distance from the crack edge. The solution of this problem is treated as the superposition of two sub-problems. One considers the transient waves in an elastic half space due to the point shear loading on the surface, while the other concerns the half space with its surface subjected to such distributed shear forces that the tangential surface displacements ahead of the crack edge induced by sub-problem 1 can be canceled out. A half space subjected to a distributed dislocation on the surface is constructed as the fundamental problem, which is solved by the use of integral transforms, the Wiener–Hopf technique and the Cagniard-de Hoop method. Exact expressions are derived for the modes II and III stress intensity factors as functions of time and position along the crack edge. Some features of the solutions are discussed through numerical results.
Published Version
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