In this investigation, particular attention is paid to the generalized theory of fracture mechanics developed by Andrews and based on the spatial strain energy density distribution W in the case of an infinite lamina. A numerical analysis using a finite element method brings out some serious shortcomings in the fundamental equation of this theory when dealing with laboratory specimens of finite dimensions. It is proven that the J integral derived from this equation has no physical meaning. We have proposed an alternative expression of W which leads to a simplified J integral requiring measurements on one specimen only.
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