Abstract

A path independent integral expression for the crack extension force of a two-dimensional circular arc crack is presented. The integral expression, which consists of a contour and an area integral, is derived from the principle of virtual work. It is implemented into a FEM post-processing program and the crack extension force is calculated for a circular arc crack in a linear elastic material. Comparison with exact solutions by Cotterell and Rice [10] for the effective elastic stress intensity factor shows acceptable accuracy for the numerical procedure used.

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