DISSYMMETRICAL EXTENSION CRACK AT THE INTERFACE BETWEEN ORTHOTROPIC MEDIA UNDER DISPLACEMENT BOUNDARY CONDITIONS

Based on the idea of functionally invariant solutions to the wave equation, invariant displacement solutions to the anti-plane equation of motion for orthotropic bodies are presented. The general representations of the solutions are derived for problems with arbitrary index of self-similarity. The problem under displacement boundary conditions of dissymmetrical extension crack at the interface between orthotropic media is transformed to a single unknown function, which only need satisfy the specific boundary conditions of a given problem. Examples are given to illustrate the present method, in which the solutions for arbitrary complex displacement boundary conditions are obtained based on linear superposition.