My current research is focused on using the extended finite element method (XFEM) to simulate complex fracture problems. I have implemented several XFEM enrichments into a MATLAB code including cracks in homogeneous material, cracks at bi-material interface, voids and inclusions. In addition crack propagation can be modeled with the code. The discontinuities are represented using level set functions. Crack propagation is modeled using a combination of the maximum circumferential stress criterion for growth direction and either a fixed value or Paris law for the growth increment. For more information about the details of crack growth modeling, level set method, and XFEM, please refer to the pages with a general overview and references on the various topics.
The particular areas of interest with respect to my research in order of current activity include:
1. Modeling quasi-static crack growth with reduced computational time and/or increased number of iterations by taking advantage of the XFEM formulation