Extended Finite Element Method Implementation in MATLAB

This program represents an extended finite element method (XFEM) implementation developed by Matthew Pais using MATLAB. The primary objective of this codebase is to investigate crack propagation scenarios through sophisticated numerical simulation techniques. The implementation incorporates several advanced features including enrichment functions for crack tip singularity modeling, level set methods for tracking crack interfaces, and adaptive meshing algorithms for accurate stress intensity factor calculations. Researchers can leverage this powerful framework to simulate diverse material behaviors, various crack geometries, and complex loading conditions through customizable input parameters and modular function design. The program's architecture supports multiple crack propagation criteria and includes visualization tools for result analysis. For researchers engaged in fracture mechanics studies, this implementation provides a robust computational platform with comprehensive documentation and example cases that facilitate understanding of crack growth mechanisms and related engineering challenges.