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The Green Functions, giving the Crack Opening Displacement components of an inclined edge crack under general loading conditions, were obtained starting from the matrix-like structure of the Weight Functions developed for determining the Stress Intensity Factors. The mathematical formulation of the problem is presented and the computational efficiency of the method is demonstrated by solving and discussing the non linear problem of a partially closed inclined edge crack under bending. By means of an iterative procedure, the closed portion of the crack is determined and the effects of normal and friction contact forces on the Crack Opening Displacement components and on the Stress Intensity Factors are discussed. The efficiency and the accuracy of this approach are assessed by comparison with Finite Element solutions.

The matrix-like structure of the Weight Function (WF) for determining the Stress Intensity Factors (SIFs) in a nonsymmetric plane body is obtained from the general properties of the elastic field. General asymptotic and symmetric properties of the WF are discussed. By extending a previously proposed methodology, an analytical approximate WF is determined for an edge crack in a semiplane within the range of inclination (-75^–75^). Finite Element evaluations considering the minimum number of loading conditions were performed to this purpose. The accuracy of the SIFs obtained by the WF is found in the order of a few tenths of percent. The solution of a typical problem illustrates the practical usefulness of the WF.