Instructor:          Professor Pan Michaleris
                              232 Reber Bldg
                              863-7273
                              pxm32@psu.edu
                              Office hours: Tuesday & Thursday: 11:00-12:00

TA:                    TBA

Text:

T. Belytscho, W.K. Liu, and B. Moran. Nonlinear Finite Elements for Continua and Structures. Wiley, NY 2000.

Supplementary text:

K.-J. Bathe. Finite Element Procedures. Prentice Hall, NJ 1996.

M.A. Crisfield. Non-linear Finite Element Analysis of Solids and Structures . Volume 1, Wiley, NY 1991.

R.D. Cook, D.S. Malkus, and M.E. Plesha. Concepts and Applications of Finite Element Analysis. Wiley, NY 1989.

T.R. Chandrupatla and A.D. Belegundu. Introduction to Finite Elements in Engineering. Prentice Hall, NJ 1997.

References on Matlab:

D. M. Etter, D. C. Kuncicky, D. Hull. Introduction to MATLAB 6, Prentice Hall 2001. ISBN:0-13-032845-5.

D. Hanselman, B. Littlefield. Mastering MATLAB 6, A comprehensive tutorial and reference, Prentice Hall 2001. ISBN:0-13-019468-9.

E. B.Magrab, S. Azarm, B. Balachandran, J. Duncan, K. Herold, G. Walsh. An engineer's guide to MATLAB,
Prentice Hall 2000. ISBN : 0-13-011335-2.

Prerequisites:  ME/EMCH 461 or  EMCH 560 or AGE 513

Biweekly (computer) projects (70%)
Final computer project (30%)
No exams.

The objective of this course is to introduce the theory and application of the finite element method for non-linear systems.  Non-linearities arising from both material behavior and large deformations will be discussed.

Applications of non-linear finite element methods include:

• Modeling of structures with non-linear material properties
• Modeling of structures with large deformations
• Buckling and post buckling deformation
• Crash modeling
• Mechanical material processing
• Thermal material processing

The course is suited to graduate students in Mechanical Engineering, Industrial, and Manufacturing Engineering and Material Science.

• Introduction to iterative and incremental solution procedures
• Material nonlinearity:
• nonlinear heat transfer
• nonlinear elasticity
• elasto-plasticity
• visco-elasticity
• Geometric nonlinearity:
• continoum mechanics review
• total and updated Lagrangian formulations
  
• coupled material-geometry nonlinearity
• Explicit methods
  
• Contact analysis
• Friction less contact
• Dynamic structural analysis
• Implicit and explicit methods of solution

Project 1, Problem 3.2 from nodes, due Sep 30
Project 2 , due Oct 7
Project 3 , due Oct 7
Project 4 ,  due Oct 21
Project 5,  Problem 3.3 from notes, due Nov 7
Project 6,  Problem 5.1  from notes, due Nov 11
Project 7,  Problem 5.2  from notes, due Nov 13
Final project , send proposal by Nov 11, project report due Dec 5.

Notes

Class notes (password given to registred students)
 

Sample abaqus input file for transient heat conduction

Unix Systems Group
Quick Summary of Unix Commands
Unix Intro
Linear FEA