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.
0
2
September 23, 2023
English
English [CC]
Description
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)
Course Curriculum
- Lecture 01 – Introduction to Nonlinear Analysis Unlimited
- Lecture 02 – Basic Considerations in Nonlinear Analysis Unlimited
- Lecture 03 – Lagrangian Continuum Mechanics Variables for Analysis Unlimited
- Lecture 04 – Total Lagrangian Formulation – Incremental Analysis Unlimited
- Lecture 05 – Updated Lagrangian Formulation – Incremental Analysis Unlimited
- Lecture 06 – Formulation of Finite Element Matrices Unlimited
- Lecture 07 – 2D & 3D Solid Elements; Plane Stress/Strain Conditions Unlimited
- Lecture 08 – 2-Noded Truss Element – Updated Lagrangian Formulation Unlimited
- Lecture 09 – 2-Noded Truss Element – Total Lagrangian Formulation Unlimited
- Lecture 10 – Solution of Nonlinear Static FE Equations I Unlimited
- Lecture 11 – Solution of Nonlinear Static FE Equations II Unlimited
- Lecture 12 – Demonstrative Example Solutions in Static Analysis Unlimited
- Lecture 13 – Solution of Nonlinear Dynamic Response I Unlimited
- Lecture 14 – Solution of Nonlinear Dynamic Response II Unlimited
- Lecture 15 – Elastic Constitutive Relations in T. L. Formulation Unlimited
- Lecture 16 – Elastic Constitutive Relations in U. L. Formulation Unlimited
- Lecture 17 – Modeling of Elasto-Plastic and Creep Response I Unlimited
- Lecture 18 – Modeling of Elasto-Plastic and Creep Response II Unlimited
- Lecture 19 – Beam, Plate, and Shell Elements I Unlimited
- Lecture 20 – Beam, Plate, and Shell Elements II Unlimited
- Lecture 21 – Demonstration Using ADINA – Linear Analysis Unlimited
- Lecture 22 – Demonstration Using ADINA – Nonlinear Analysis Unlimited
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