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 07 - 2D & 3D Solid Elements; Plane Stress/Strain Conditions |
Isoparametric interpolations of coordinates and displacements. Consistency between coordinate and displacement interpolations. Meaning of these interpolations in large displacement analysis, motion of a material particle. Evaluation of required derivatives. The Jacobian transformations. Details of strain-displacement matrices for total and updated Lagrangian formulations.
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