WEIGHT FUNCTIONS FOR INTERFACE CRACKS IN DISSIMILAR ANISOTROPIC MATERIALS

Bueckner’s work conjugate integral customarily adopted for linear elastic materialsis established for an interface crack in dissimilar anisotropic materials.The difficulties in separatingStroh’s six complex arguments involved in the integral for the dissimilar materials are overcome andthert the explicit function representations of the integral are given and studied in detail.It is foundthat the pseudo-orthogonal properties of the eigenfunction expansion form(EEF)for a crack presentedpreviously in isotropic elastic cases,in isotopic bimaterial cases,and in orthotropic cases are alsovalid in the present dissimilar arbitrary anisotropic cases.The relation between Bueckner’s workconjugate integral and the J-integral in these cases is obtained by introducing a complementary stress-displacement state.Finally,some useful path-independent integrals and weight functions are proposedfor calculating the crack tip parameters such as the stress intensity factors.