Course  Finite Element Procedures for Solids and Structures: Nonlinear Analysis
This video series 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 videos, Professor K. J. Bathe, a researcher of world renown in the field of finite element analysis, builds upon the concepts developed in his previous video course on Linear Analysis. 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.

Lecture 1  Introduction to Nonlinear Analysis

Lecture 2  Basic Considerations in Nonlinear Analysis

Lecture 3  Lagrangian Continuum Mechanics Variables for Analysis

Lecture 4  Total Lagrangian FormulationIncremental Analysis

Lecture 5  Updated Lagrangian FormulationIncremental Analysis

Lecture 6  Formulation of Finite Element Matrices

Lecture 7  2D and 3D Solid Elements; Plane StressStrain Conditions

Lecture 8  2Node Truss Element  Updated Lagrangian Formulation

Lecture 9  2Node Truss ElementTotal 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  Solutions 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 ElastoPlastic and Creep Response I

Lecture 18  Modeling of ElastoPlastic and Creep Response II

Lecture 19  Beam, Plate, and Shell Elements I

Lecture 20  Beam, Plate, and Shell Elements II

Lecture 21  Demonstration Using ADINALinear Analysis

Lecture 22  Demonstration Using ADINANonlinear Analysis