Dept of Aerospace and Engineering Mechanics

Prof. Ala Tabiei

FEM Courses

Nonlinear Finite Element

AE725

 

Text:

Finite Element Procedures, Class notes

K. J. Bathe, Prentice Hall, 1996

 

Home Work:           

 

All homework assignments are to be submitted on the front of each page (no writing on the back). Late problems are not accepted for credit.

 

Examinations:        

There will be a midterm test. All exams are closed book. No make up test will be given.

 Computer Program:              

Program is to be written in FORTRAN or any other structured language. Use subroutines. Statement numbers should appear in a monotonically increasing order. Include comment statements as necessary. Listing of the program must be submitted with solution. In addition, a diskette containing the program must also be submitted.

Grading System:    

 

Homework 5%

Computer Program 10%

Final Presentation 60%

Midterm Test 25% 

 

 

Topics:

 

· Tensor algebra and analysis

· Introduction to nonlinear continuum mechanics

· Introduction to NL FE

· NL models:

·         Geometric NL

·         Material NL

·         Governing equations for NL FE analysis

· Discretization

· Newton Raphson method

· Material non-linearity (RRA)

· Contact problems

· Explicit time integration

· Implicit time integration