Abstract

It has been shown [1,2,3] that weight functions for the stress intensity factor K can be obtained from the boundary displacements resulting from a point force acting at the tip of the crack. The crack tip and the point force are modelled by imposing boundary conditions on a small circular cavity of radius r o. In previous work displacement boundary conditions corresponding to the appropriate two-dimensional singular field have been applied. It is necessary to choose a value of ro small enough to give accurate values for the stress intensity factor, but not too small to give rise to modelling difficulties. Aliabadi et al. [3] studied the convergence of K as r varied. Their results for the stress intensity factor do not o converge uniformly as rodecreases; more elements are needed when ro becomes very small (51(} 3 of the crack length).

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