## Description

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. Upon completion of the course, participants will be able to simulate and analyze problems such as:

- Large displacement collapse or buckling of structures
- Progressive damage of structural components under high-temperature conditions
- Stresses and strains of structures under severe earthquake loads
- Accident conditions due to sudden overloads
- Construction and repair of structures
- Stability of underground openings

## Prerequisites

An undergraduate degree in engineering or science, and completion of the previous video course on Linear Analysis .

## Textbook

Bathe, K. J. *Finite Element Procedures*. 2nd ed. Klaus-Jürgen Bathe, 2014. ISBN: 9780979004957.

## Related Resources

Prof. Bathe currently teaches two courses at MIT focused on finite element analysis, both available on MIT OpenCourseWare:

*2.092/2.093 Finite Element Analysis of Solids and Fluids I*

*2.094 Finite Element Analysis of Solids and Fluids II*

Additional books co-authored by Prof. Bathe and relating to this course are:

Chapelle, D., and K. J. Bathe. *The Finite Element Analysis of Shells: Fundamentals.* New York, NY: Springer, 2011. ISBN: 9783642164071.

Bucalem, M. L., and K. J. Bathe. *The Mechanics of Solids and Structures: Hierarchical Modeling and the Finite Element Solution.* New York, NY: Springer, 2011. ISBN: 9783540263319.

Kojić, M., and K. J. Bathe. *Inelastic Analysis of Solids and Structures.* New York, NY: Springer, 2005. ISBN: 9783540227939.

## About ADINA

This video course presents general theory and use of finite element procedures. However, the course refers in many parts to ADINA, a finite element program for general state-of-the-art linear and nonlinear, static and dynamic, and multi-physics analyses. Please see ADINA R&D for more information.

## Study Guide Components

- Complete Study Guide ( PDF 1 of 2 - 7.3MB ) ( PDF 2 of 2 - 7.2MB )
- Preface ( PDF )
- Table of Contents ( PDF )
- Glossary ( PDF )