Ch. Chen et Jh. Hsu, THE STRESS INTENSITY FACTORS OF SLIGHTLY UNDULATING INTERFACE CRACKS OF BIMATERIALS, International journal of fracture, 80(4), 1996, pp. 277-293
A modified interface crack with slightly undulating profile, which has
a good agreement with reality and retains the simplicity of a mathema
tical model, is presented in this paper. This model is utilized to rev
eal some of the properties of uneven cracks, especially the stress int
ensity factors. As we know, many failures occurring in the interface a
re induced by crucial lateral stresses which are parallel to the inter
face. Hence, when the lateral stresses are much stronger than others,
the corresponding solution is also derived for understanding how the l
ateral stresses affect the stress intensity factors as the crack is un
even. In the present paper, the Hilbert's problem enables different pe
rturbed-interface cracks to be solved in an unified manner. Muskhelish
vili's potential formulation is used to derive, by means of a perturba
tion analysis technique, an homogeneous and general Hilbert's problem.