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

Text:

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

Supplementary text:

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

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

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

No class on Dec 5.

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-linerities 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
• Buckling and post buckling deformation
• Crash modeling
• 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 elasticity
• elasto-plasticity

visco-elasticity
•    Geometric nonlinearity:
• elastic instability
• coupled material-geometry nonlinearity
• Contact analysis
• Frictionless contact
• Dynamic structural analysis
• Implicit and explicit methods of solution

Project 1  Solutions: maincode, element
Project 2
Project 3
Project 4
Project 5
Project 6
Project 7

Finite Element Formulation of Transient Non-Linear Heat Conduction
Sample abaqus input file for transient heat conduction
Abaqus on-line help: abaqus doc
Sample abaqus input file for thermo-elasto-plastic analysis
Example of radial return algorithm: p1, p2, p3, p4

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