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 17 - Modeling of Elasto-Plastic and Creep Response I |
Basic considerations in modeling inelastic response. A schematic review of laboratory test results, effects of stress level, temperature, strain rate. One-dimensional stress-strain laws for elasto-plasticity, creep, and viscoplasticity. Isotropic and kinematic hardening in plasticity. General equations of multiaxial plasticity based on a yield condition, flow rule, and hardening rule. Use of plastic work, effective stress, effective plastic strain. Integration of stresses with subincrementation.
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