# InfoCoBuild

## 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)

 Introduction

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

 References Nonlinear Finite Element Analysis Instructors: Professor K. J. Bathe. Complete Study Guide. This course presents effective finite element procedures for the nonlinear analysis of solids and structures.