Simulating Optical Fringe Patterns for Central Stress Concentration

This article discusses MATLAB implementation for simulating optical fringe patterns under central stress concentration. The program employs phase calculation algorithms to generate wrapped phase maps (phase wrapping using atan2 functions) and extracts fringe centerlines through gradient-based edge detection methods. These visualizations help characterize stress distribution patterns and provide practical guidance for real-world applications.

The simulation framework requires configuring stress parameters (load magnitude, material properties) and optical parameters (wavelength, interference angles). Core functions include stress field computation using elasticity equations, optical path difference calculation, and fringe pattern generation via cosine intensity modulation. Parameter variation studies enable investigation of stress concentration factors and distribution dynamics.

Post-processing modules feature data visualization tools (surface plots, contour mapping) and quantitative analysis functions (peak detection, fringe counting). These components facilitate interpretation of simulation results through strain quantification and pattern recognition techniques, establishing foundational knowledge for advanced stress analysis research and engineering applications.