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 05 - Updated Lagrangian Formulation - Incremental Analysis |
Principle of virtual work in terms of 2nd Piola-Kirchhoff stresses and Green-Lagrange strains referred to the configuration at time t. Incremental stress and strain decompositions in the updated Lagrangian form of the principle of virtual work. Linear and nonlinear strain increments. Consistent linearization of terms in the principle of virtual work. Iterative equations for modified Newton-Raphson solution. Flowchart of complete solution.
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