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 06 - Formulation of Finite Element Matrices |
Summary of principle of virtual work equations in total and updated Lagrangian formulations. Deformation-independent and deformation-dependent loading. Materially-nonlinear-only analysis. Dynamic analysis, implicit and explicit time integrations. Derivations of finite element matrices for total and updated Lagrangian formulations, materially-nonlinear-only analysis. Displacement and strain-displacement interpolation matrices. Stress matrices. Numerical integration and application of Gauss and Newton-Cotes formulas.
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