Finite Element Program for Crack Propagation Analysis

This documentation presents a finite element program specifically designed for crack propagation analysis, implemented using MATLAB. The finite element method (FEM) is a numerical computational technique widely used for solving differential equations and represents a fundamental approach in computer-aided engineering (CAE). FEM enables comprehensive analysis across various engineering domains including structural mechanics, thermodynamics, and fluid dynamics. This specialized program incorporates crack propagation algorithms that utilize extended finite element method (XFEM) principles, allowing engineers to effectively evaluate material performance and predict potential failure mechanisms during service life. The MATLAB implementation features mesh-independent crack representation through enrichment functions, stress intensity factor calculations using interaction integrals, and adaptive remeshing capabilities for tracking crack growth paths. By providing accurate crack propagation simulations, this tool significantly enhances structural safety assessment and reliability prediction for engineering applications.