Weight function for an edge crack in an infinite orthotropic strip under normal point loading

Abstract

In this paper, the problem of an edge crack of finite length, situated in an orthotropic infinite strip of finite thickness h, under normal point loading has been considered. The displacements and stresses for orthotropic elasticity in plane strain condition are expressed in terms of two harmonic functions. The problem is resolved in a simplistic manner by seeking the solution of a pair of simultaneous integral equations with Cauchy type singularities which have finally been solved through finite Hilbert Transform technique. For large h, the analytical expression of the stress intensity factor (SIF) at the crack tip is obtained, which corresponds to the weight function of a crack under normal point loading. The numerical results of the normalized stress intensity factor at different arbitrary locations of the crack surface and various values of crack length have been computed for a particular orthotropic material (Steel-Mylar composite) and the results are depicted graphically.© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.