Abstract

Mode I and Mode II strain energy release rates G I and G II for a crack lying along the interface of two dissimilar elastic media were investigated analytically and by using the finite element method. The analytical solutions indicate that G II and G II do not converge in the form of crack closure integrals although the sum (the total strain energy release rate) is well defined. If the oscillatory terms are neglected, then G I = G II = 1 2 G . The finite element solutions in conjunction with the crack closure method agree with the analytical solutions if the assumed crack extension is larger than the region of violent stress oscillation. Moreover, the finite element solutions also converge to G I = G II = 1 2 G for small crack extensions, before they start to oscillate.

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