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 16 - Elastic Constitutive Relations in U. L. Formulation |
Use of updated Lagrangian (U.L.) formulation. Detailed comparison of expressions used in total Lagrangian (T.L.) and U.L. formulations; strains, stresses, and constitutive relations. Study of conditions to obtain in a general incremental analysis the same results as in the T.L. formulation, and vice versa. The special case of elasticity. The Almansi strain tensor. One-dimensional example involving large strains. Analysis of large displacement/small strain problems.
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