Res.2-002 Nonlinear Finite Element Analysis
Res.2-002 Nonlinear Finite Element Analysis (MIT OCW). Instructor: Professor K. J. Bathe. This course presents effective finite element procedures for the nonlinear analysis of solids and structures. The finite element method is the ideal tool for solving complex static and dynamic problems in engineering and the sciences. Nonlinear analysis models kinematic and/or materially nonlinear effects. In these lectures, general nonlinear analysis techniques are presented by emphasizing physical concepts. The mathematical foundation of nonlinear finite element techniques is given in light of these physical requirements. A wide range of questions in engineering and the sciences can be addressed with these methods. (from ocw.mit.edu)
| Lecture 15 - Elastic Constitutive Relations in T. L. Formulation |
Basic considerations in modeling material response. Linear and nonlinear elasticity. Isotropic and orthotropic materials. One-dimensional example, large strain conditions. The case of large displacement/small strain analysis, discussion of effectiveness using the total Lagrangian formulation. Hyperelastic material model (Mooney-Rivlin) for analysis of rubber-type materials.
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