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 19 - Beam, Plate, and Shell Elements I |
The degeneration of a three-dimensional continuum to beam and shell behavior. Basic kinematic and static assumptions used. Formulation of isoparametric (degenerate) general shell elements of variable thickness for large displacements and rotations. Geometry and displacement interpolations. The nodal director vectors. Use of five or six nodal point degrees of freedom, theoretical considerations and practical use. The stress-strain law in shell analysis, transformations used at shell element integration points. Shell transition elements, modeling of transition zones between solids and shells, shell intersections.
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