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

Text:

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

Supplementary text:

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

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. 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

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
• 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 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, due Sep 13, 2001
Project 2, due Sep 25, 2001
Project 3, due Oct 19, 2001
Porject 4: Problems 2.3, 4.1, and 4.2 from class notes, due Oct 30, 2001
FInal Project, duce Dec 14, 2001

Class notes
Sample 1D Heat Conduction Matlab programs: main, subroutine
Sample 2D Heat Conduction Matlab programs: main, subroutine, finaldraw
Running Ansys at the CAC UNIX cluster:  source /usr/local/setup/ansys.setup.csh <return> xansys55 <return>
Running Abaqus at the CAC UNIX cluster:  source /usr/local/setup/abaqus62.setup.csh <return> abaqus <return>
Running Patran at the CAC UNIX cluster:  source /usr/local/setup/msc.setup.csh
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