Catalog

Finite Element Procedures for Solids and Structures

Mechanical Engineering MIT CC BY-NC-SA 4.0 34 lectures

Finite element analysis is now widely used for solving complex static and dynamic problems encountered in engineering and the sciences. In these two video courses, {{% resource_link "b3b04b67-272b-4cc1-941f-24dcb363c343" "Professor K. J. Bathe" %}}, a researcher of world renown in the field of finite element analysis, teaches the basic principles used for effective finite element analysis, describes the general assumptions, and discusses the implementation of finite element procedures for linear and nonlinear analyses. These videos were produced in 1982 and 1986 by the MIT Center for Advanced Engineering Study.

Syllabus

  1. 1 Lecture 1: Some Basic Concepts of Engineering Analysis
  2. 2 Lecture 2: Analysis of Continuous Systems
  3. 3 Lecture 3: The Displacement-Based Finite Element Method
  4. 4 Lecture 4: Generalized Coordinate Finite Element Models
  5. 5 Lecture 5: Implementation of Methods in Computer Programs
  6. 6 Lecture 6: Formulation and Calculation of Isoparametric Models
  7. 7 Lecture 7: Formulation of Structural Elements
  8. 8 Lecture 8: Numerical Integrations, Modeling Considerations
  9. 9 Lecture 9: Solution of Equilibrium Equations in Static Analysis
  10. 10 Lecture 10: Solution of Equilibrium Equations in Dynamic Analysis
  11. 11 Lecture 11: Mode Superposition Analysis; Time History
  12. 12 Lecture 12: Solution Methods for Frequencies and Mode Shapes
  13. 13 Lecture 1: Introduction to Nonlinear Analysis
  14. 14 Lecture 2: Basic Considerations in Nonlinear Analysis
  15. 15 Lecture 3: Lagrangian Continuum Mechanics Variables for Analysis
  16. 16 Lecture 4: Total Lagrangian Formulation - Incremental Analysis
  17. 17 Lecture 5: Updated Lagrangian Formulation - Incremental Analysis
  18. 18 Lecture 6: Formulation of Finite Element Matrices
  19. 19 Lecture 7: 2D & 3D Solid Elements; Plane Stress/Strain Conditions
  20. 20 Lecture 8: 2-Noded Truss Element - Updated Lagrangian Formulation
  21. 21 Lecture 9: 2-Noded Truss Element - Total Lagrangian Formulation
  22. 22 Lecture 10: Solution of Nonlinear Static FE Equations I
  23. 23 Lecture 11: Solution of Nonlinear Static FE Equations II
  24. 24 Lecture 12: Demonstrative Example Solutions in Static Analysis
  25. 25 Lecture 13: Solution of Nonlinear Dynamic Response I
  26. 26 Lecture 14: Solution of Nonlinear Dynamic Response II
  27. 27 Lecture 15: Elastic Constitutive Relations in T. L. Formulation
  28. 28 Lecture 16: Elastic Constitutive Relations in U. L. Formulation
  29. 29 Lecture 17: Modeling of Elasto-Plastic and Creep Response I
  30. 30 Lecture 18: Modeling of Elasto-Plastic and Creep Response II
  31. 31 Lecture 19: Beam, Plate, and Shell Elements I
  32. 32 Lecture 20: Beam, Plate, and Shell Elements II
  33. 33 Lecture 21: Demonstration Using ADINA - Linear Analysis
  34. 34 Lecture 22: Demonstration Using ADINA - Nonlinear Analysis

Course materials