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 11 - Solution of Nonlinear Static FE Equations II |
Automatic load step incrementation for collapse and post-buckling analysis. Constant arc-length and constant increment of work constraints. Geometrical interpretations. An algorithm for automatic load incrementation. Linearized buckling analysis, solution of eigenproblem. Value of linearized buckling analysis.
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