Nonlinear Finite Element Analysis

22 Lectures

• 

  Introduction to Nonlinear Analysis

  00:45:00

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Basic Considerations in Nonlinear Analysis

  01:05:56

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Lagrangian Continuum Mechanics Variables for Analysis

  01:18:35

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Total Lagrangian Formulation - Incremental Analysis

  00:48:38

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Updated Lagrangian Formulation - Incremental Analysis

  00:50:34

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Formulation of Finite Element Matrices

  00:44:28

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  2D & 3D Solid Elements; Plane Stress/Strain Conditions

  00:53:40

  Electrical — Massachusetts Institute of Technology

• 

  2-Node Truss Element - Updated Lagrangian Formulation

  00:32:20

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  2-Node Truss Element - Total Lagrangian Formulation

  00:35:33

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Solution of Nonlinear Static FE Equations I

  01:04:47

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Solution of Nonlinear Static FE Equations II

  00:44:50

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Demonstrative Example Solutions In Static Analysis

  00:45:21

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Solution of Nonlinear Dynamic Response I

  00:47:54

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Solution of Nonlinear Dynamic Response II

  01:22:47

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Elastic Constitutive Relations In T. L. Formulation

  00:38:42

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Elastic Constitutive Relations In U. L. Formulation

  00:47:45

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Modeling of Elasto-Plastic and Creep Response I

  01:11:30

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

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  Modeling of Elasto-Plastic and Creep Response II

  00:47:41

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Beam, Plate, and Shell Elements I

  00:50:22

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Beam, Plate, and Shell Elements II

  01:28:01

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Demonstration Using Adina - Linear Analysis

  00:36:37

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology

• 

  Demonstration Using Adina - Nonlinear Analysis

  00:31:22

  Klaus-Jürgen Bathe, Electrical — Massachusetts Institute of Technology