Finite Element Calculation with Tetrahedral Mesh Generation

The finite element calculation source code with tetrahedral mesh generation represents a highly practical computational tool. Its primary functionality involves discretizing deformation bodies into tetrahedral elements and processing nodal coordinate inputs. The core algorithm utilizes elastoplastic constitutive models to convert load-displacement relationships into linear equation systems, providing robust solutions for simple three-dimensional deformation problems. The implementation includes comprehensive output capabilities for element deformation metrics and stress distributions, which significantly facilitates deformation body characteristic analysis. This program demonstrates substantial value across both engineering and academic domains. For structural engineering applications, it enables engineers to accurately predict building deformations and stress patterns, thereby enhancing structural safety assessments. In materials mechanics research, the code assists researchers in understanding material deformation behaviors and stress distribution patterns through its systematic computational approach. The implementation features sophisticated matrix assembly techniques and employs numerical methods for solving the resulting linear systems efficiently. Notable technical components include tetrahedral element formulation using shape functions, integration of material constitutive laws through stiffness matrix generation, and post-processing modules for deformation and stress computation. The code architecture supports extensibility for additional material models and boundary conditions, making it a valuable foundation for further computational mechanics development. This tetrahedral mesh-based finite element code thus stands as a practical and versatile tool worthy of adoption by engineers and researchers for advanced deformation analysis.