The generalised weight function method for crack problems with mixed boundary conditions

The generalised weight function method for determination of stress intensity factors for crack problems with mixed boundary conditions is presented. The method is based on the application of Betti's reciprocal theorem to equivalent crack problems with special boundary conditions, which are converted from the original problems by the principle of superposition. Expressions of stress intensity factors for center cracks subjected to arbitrary stresses in finite plates with various boundary conditions are derived. Examples of practical interest are given. The results reveal the important roles of the boundary displacement constraint and finite dimensions in the crack parameter evaluation.