MATLAB Implementation of Finite Element Method with 8-Node Isoparametric Elements

I would like to share a finite element program implemented in MATLAB specifically designed for analyzing 8-node isoparametric elements. The program employs numerical methods to solve various engineering problems through systematic computational approaches. The code implementation utilizes isoparametric formulation where both geometry and displacements are approximated using the same shape functions. For 8-node elements, the program incorporates quadratic shape functions that provide higher accuracy in stress analysis and deformation calculations. The implementation includes Gaussian quadrature integration for stiffness matrix computation and proper boundary condition handling. This MATLAB program enables efficient simulation and analysis of 8-node isoparametric elements, which are particularly valuable for nonlinear analysis and three-dimensional modeling applications. The code structure demonstrates key finite element method concepts including element stiffness matrix assembly, global system formation, and solution techniques for equilibrium equations. By studying this implementation, users can deepen their understanding of finite element principles and their practical applications in mechanical engineering, civil engineering, aerospace engineering, and related fields. The program serves as an educational tool that enhances engineering analysis capabilities and design proficiency through hands-on computational experience. I hope this finite element program proves beneficial for your learning and practical engineering endeavors, providing insights into both theoretical foundations and practical implementation aspects of finite element analysis.