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 20 - Beam, Plate, and Shell Elements II |
Formulation of isoparametric (degenerate) beam elements for large displacements and rotations. A rectangular cross-section beam element of variable thickness; coordinate and displacement interpolations. Use of the nodal director vectors. The stress-strain law. Introduction of warping displacements. Study of solutions of straight and curved cantilevers modeled using various elements. An effective 4-node shell element (the MITC4 element) for analysis of general shells. The patch test, theoretical and practical considerations.
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