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 03 - Lagrangian Continuum Mechanics Variables for Analysis |
The principle of virtual work in terms of the 2nd Piola-Kirchhoff stress and Green-Lagrange strain tensors. Deformation gradient tensor. Physical interpretation of the deformation gradient. Change of mass density. Polar decomposition of deformation gradient. Green-Lagrange strain tensor. 2nd Piola-Kirchhoff stress tensor. Physical explanations of continuum mechanics variables.
Go to the Course Home or watch other lectures: