Date of Award
Master of Science in Mechanical Engineering (MS)
College, School or Department Name
Department of Mechanical Engineering-Engineering Mechanics
Gregory M Odegard
A method for the introduction of strong discontinuities into a mesh will be developed. This method, applicable to a number of eXtended Finite Element Methods (XFEM) with intra-element strong discontinuities will be demonstrated with one specific method: the Generalized Cohesive Element (GCE) method. The algorithm utilizes a subgraph mesh representation which may insert the GCE either adaptively during the course of the analysis or a priori. Using this subgraphing algorithm, the insertion time is O(n) to the number of insertions. Numerical examples are presented demonstrating the advantages of the subgraph insertion method.
Thunes, James R., "Topological changes in 2D simplicial meshes for the simulation of fractures", Master's Thesis, Michigan Technological University, 2011.