Papers by Keyword: Crack Problems

Abstract: The numerical manifold method (NMM) is a representative among different numerical methods for crack problems. Due to the independence of physical domain and the mathematical cover system, totally regular mathematical elements can be used in the NMM. In the present paper, the NMM is applied to solve 2-D linear elastic crack problems, together with the comparison study on the accuracy of n-sided regular mathematical elements, i.e., the triangular elements (n=3), the quadrilateral elements (n=4) and the hexagonal elements (n=6). Our numerical results show that among different elements, the regular hexagonal element is the best and the quadrilateral element is better than the triangular one.

Abstract: 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.