Yj. Lua et al., ELASTIC INTERACTIONS OF A FATIGUE-CRACK WITH A MICRODEFECT BY THE MIXED BOUNDARY INTEGRAL-EQUATION METHOD, International journal for numerical methods in engineering, 36(16), 1993, pp. 2743-2759
In this paper, the mixed boundary integral equation method is develope
d to study the elastic interactions of a fatigue crack and a micro-def
ect such as a void, a rigid inclusion or a transformation inclusion. T
he method of pseudo-tractions is employed to study the effect of a tra
nsformation inclusion. An enriched element which incorporates the mixe
d-mode stress intensity factors is applied to characterize the singula
rity at a moving crack tip. In order to evaluate the accuracy of the n
umerical procedure, the analysis of a crack emanating from a circular
hole in a finite plate is performed and the results are compared with
the available numerical solution. The effects of various micro-defects
on the crack path and fatigue life are investigated. The results agre
e with the experimental observations.