On Stationary and Moving Interface Cracks with Frictionless Contact in Anisotropic Bimaterials
Abstract
The asymptotic structure of neartip fields around stationary and steadily growing interface cracks, with frictionless crack surface contact, and in anisotropic bimaterials, is analysed with the method of analytic continuation, and a complete representation of the asymptotic fields is obtained in terms of arbitrary entire functions. It is shown that when the symmetry, if any, and orientation of the anisotropic bimaterial is such that the inplane and outofplane deformations can be separated from each other, the inplane cracktip fields will have a nonoscillatory, inversesquaredroot type stress singularity, with angular variations clearly resembling those for a classical mode II problem when the bimaterial is orthotropic. However, when the two types of deformations are not separable, it is found that an oscillatory singularity different than that of the counterpart opencrack problem may exist at the crack tip for the now coupled inplane and outofplane deformation. In general, a substantial part of the nonsingular higherorder terms of the cracktip fields will have forms that are identical to those for the counterpart opencrack problem, which give rise to fully continuous displacement components and zero tractions along the crack surfaces as well as the material interface.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 December 1993
 DOI:
 10.1098/rspa.1993.0162
 Bibcode:
 1993RSPSA.443..563D