Generation Algorithm of the Cover System in Manifold Method with Quadrangular Meshes

Abstract:

A simple and efficient algorithm for the generation of finite cover system with arbitrary quadrangular mathematical meshes is proposed. Both the generation of manifold elements and the coding of physical covers can be carried out conveniently by the algorithm without any additional assumptions, even for the complex problems with multiple cracks and their propagation. It is believed that the key problem in the implementation of manifold method is well solved in the present work. The proposed algorithm also lays a good foundation for a further study and application of manifold method.