A conservative integral for determining stress intensity factors of a bimaterial notch

摘要

A bimaterial V-notch composed of two perfectly bonded wedges is considered. For unconstrained notch edges, the eigenvalue problem is solved yielding both real and complex eigenvalues. The appropriate eigenvectors are also determined. A conservative area integral is derived from the Betti reciprocal principle for determination of the stress intensity factors for this geometry. A field more singular than the asymptotic field is employed as an auxiliary solution in the conservative integral. The accuracy of the method is demonstrated by several numerical examples. In addition, results are obtained for a geometry of interest and a wide range of material combinations.