Xm. Deng, ON STATIONARY AND MOVING INTERFACE CRACKS WITH FRICTIONLESS CONTACT IN ANISOTROPIC BIMATERIALS, Proceedings - Royal Society. Mathematical and physical sciences, 443(1919), 1993, pp. 563-572
The asymptotic structure of near-tip fields around stationary and stea
dily growing interface cracks, with frictionless crack surface contact
, and in anisotropic bimaterials, is analysed with the method of analy
tic continuation, and a complete representation of the asymptotic fiel
ds is obtained in terms of arbitrary entire functions. It is shown tha
t when the symmetry, if any, and orientation of the anisotropic bimate
rial is such that the in-plane and out-of-plane deformations can be se
parated from each other, the in-plane crack-tip fields will have a non
-oscillatory, inverse-squared-root type stress singularity, with angul
ar variations clearly resembling those for a classical mode II problem
when the bimaterial is orthotropic. However, when the two types of de
formations are not separable, it is found that an oscillatory singular
ity different than that of the counterpart open-crack problem may exis
t at the crack tip for the now coupled in-plane and out-of-plane defor
mation. In general, a substantial part of the non-singular higher-orde
r terms of the crack-tip fields will have forms that are identical to
those for the counterpart open-crack problem, which give rise to fully
continuous displacement components and zero tractions along the crack
surfaces as well as the material interface.