1 ETH Zurich Interactive Simulation of Elasto-Plastic Materials using the Finite Element Method Matthias Müller Seminar – Wintersemester 02/03 Movie 2 M Müller – Elasto-Plastic FEM ETH Zurich Outline FEM vs. Mass-Spring Stiffness The Stiffness Matrix Static/Dynamic Deformation Continuum Mechanics and FEM Strain and Stress Tensors Continuous PDE’s FEM Discretization Plasticity Plastic Strain Update Rules Fracture Principal Stresses Crack Computation 3 M Müller – Elasto-Plastic FEM ETH Zurich Mass-Spring vs. FEM 1. Discretization of an object into mass points 2. Representation of forces between mass points with springs 3. Computation of the dynamics deformable mass-spring system 1. Discretization of an object into elements (tetrahedra) 2. Discretization of continuous energy equations into algebraic equations for forces acting at vertices 3. Computation of the dynamics deformable FEM system 4 M Müller – Elasto-Plastic FEM ETH Zurich Pros and Cons of FEM Pros: • No individual spring constants needed (only 2 known material parameters E,ν) • No inversion problems (inverted tetrahedra produce forces) • Stress and strain tensors allow • fracture and • plasticity simulations Cons: • (Pre-)compute stiffness matrix • Store stiffness matrix (3x3) per edge • Store original and actual positions of vertices
Interactive Simulation of Elasto-Plastic Materials using the Finite Element Method
Jun 12, 2023
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Related Documents
![SEMI-RIGID ELASTO-PLASTIC POST BUCKLING ANALYSIS … · Semi-Rigid Elasto-Plastic Post Buckling Analysis of a Space Frame with Finite Rotation 276 Kassimali and Abbasnia [8] are also](https://static.cupdf.com/doc/110x72/5b5d02d37f8b9a68368decf2/semi-rigid-elasto-plastic-post-buckling-analysis-semi-rigid-elasto-plastic-post.jpg)
