Numerical Study on Two-Dimensional Crack Problems in Three-Layered Isotropic Elastic Materials

Two-dimensional crack problems in a three-layered material are analysed numerically under the conditions of plane strain. An image method is proposed to obtain a fundamental solution for dislocation dipoles in trilayered media. The governing equations can be constructed by distributed dislocation technique and the solutions are sought in terms of the displacement discontinuity method. Comparisons are made between existing results in the literature and numerical results for different cases and good agreements are found.