Abstract

The dynamic anti-plane problem of determining stress and displacement due to three co-planar Griffith cracks moving steadily at a subsonic speed in an infinite elastic strip has been considered. Employing Fourier integral transform, the problem when the rigidly clamped edges of the strip are pulled apart in opposite directions has been reduced to solving a set of four integral equations. These integral equations have been solved using the finite Hilbert transform technique and Cook's result [ Glas. Math. J. 11, 9 (1970)] to obtain the exact form of crack opening displacement and stress intensity factors. Numerical results for stress intensity factors are presented in the form of graphs.

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