advancedfinite element analysis
- Advanced Element Types and Formulations
- Higher-order elements (quadratic, cubic)
- Isoparametric formulation
- Reduced integration and hourglass control
- Mixed formulation and incompatible modes
- Nonlinear Finite Element Analysis
- Geometric nonlinearity (large deformations, large rotations)
- Material nonlinearity (plasticity, hyperelasticity, creep)
- Contact mechanics and interface modeling
- Iterative solvers and convergence issues (Newton-Raphson, arc-length)
- Dynamic Analysis
- Time integration methods (implicit vs. explicit)
- Natural frequencies and mode shapes
- Harmonic and transient response
- Damping models (Rayleigh, modal, proportional)
- Heat Transfer and Thermal-Structural Coupling
- Steady-state and transient heat conduction
- Coupled thermo-mechanical analysis
- Radiation and convection modeling
- Multiphysics and Coupled Problems
- Fluid-structure interaction (FSI)
- Electromagnetic-thermal coupling
- Piezoelectric and smart materials
- Fracture Mechanics and Damage Modeling
- Stress intensity factors and energy release rates
- Cohesive zone models
- XFEM (Extended Finite Element Method)
- Crack initiation and propagation
- Advanced Meshing and Model Refinement
- Adaptive mesh refinement (AMR)
- Error estimation and control
- Mesh morphing and remeshing
- Material Modeling
- Anisotropic and orthotropic materials
- Composite structures
- Computational Efficiency and High-Performance Computing
- Sparse matrix techniques
- Parallel computing and solver scalability
- Domain decomposition methods
- Custom FEA with Programming
- Writing FEA solvers in Python/Matlab/C++
- Scripting in commercial FEA tools
- Automation of simulations and parametric studies