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 02 - Basic Considerations in Nonlinear Analysis |
The principle of virtual work in general nonlinear analysis. Introduction to the finite element incremental solution, statement and physical explanation of governing finite element equations. Requirements of equilibrium, compatibility, and the stress-strain law. Nodal point equilibrium versus local equilibrium. Assessment of accuracy of a solution.
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