Three-Dimensional Finite Element Static Problem Analysis

This document presents a three-dimensional finite element static problem analysis program developed in MATLAB. The implementation employs 20-node hexahedral elements (commonly known as quadratic elements) that provide higher accuracy in stress computation through second-order shape functions. The program features stress contour visualization capabilities using MATLAB's built-in graphics functions like patch() and colormap() for effective result interpretation. This analytical tool significantly assists in researching and analyzing static mechanical properties of materials and structural components. It enables computation and prediction of stress distribution across various materials and geometries, helping engineers and scientists better understand material behavior and structural performance. The program incorporates standard finite element methodology including stiffness matrix assembly, displacement calculation, and stress recovery algorithms. Furthermore, it enhances design efficiency for diverse materials and structures by automating complex calculations, thereby saving time and reducing costs while improving the accuracy and productivity of research and development workflows.