| Dynamic Weight Functions for a Moving Crack II. Shear Loading (2007) | |||||||||||||
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| Dynamic weight functions are constructed for general time--dependent shear loading of a plane semi--infinite crack propagating with constant speed in an infinite isotropic elastic body. The use of Fourier transforms reduces the problem to the analysis of a matrix Wiener--Hopf equation. The solution of the Wiener--Hopf problem is presented. An expression is derived for the first--order perturbation to the stress intensity factors induced by a small time--dependent deviation from straightness of the crack front. The asymptotic procedure requires consideration of two terms of the asymptotic expansions of the displacement and stress tensor components in a neighbourhood of the crack front. 1. INTRODUCTION This is a continuation of a study of dynamic weight functions for three-dimensional loading of a plane, semi-infinite crack, moving with speed V . Part I (Willis and Movchan, 1994) presented the basic framework and developed the solution in detail, for the case of Mode I loading. This requ... | |||||||||||||
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