CE 521

Instructor: Chris L. Mullen
Office: 202 Carrier Hall / Phone: 232-5370
Email: cvchris@olemiss.edu

Text: , J. C. Simo and T. J. R. Hughes, Computational Inelasticity, Springer-Verlag, 1998

References:

1. Lubliner, J., Plasticity Theory, McMillan, 1990.
2. Chen, W. F. and Han, D. J., Plasticity for Structural Engineers, Springer-Verlag, 1988.
3. Mendelson, A., Plasticity: Theory and Application, Krieger Publishing Co., 1986
4. Boresi, A. P. Schmidt, R. J., and Sidebottom, O. M., Advanced Mechanics of Materials, 5th ed., Wiley, 1993.
5. Bathe, K.-J., Finite Element Procedures, Prentice-Hall, 1996.
6. Zienkiewicz, 0.C., and R. L. Taylor, The Finite Element Method, Volume 2: Solid and Fluid Mechanics, Dynamics, and Nonlinearity. McGraw Hill, 1991.
7. Findley, W. N., Lai, J. S., and Onaran, K., Creep and Relaxation of Nonlinear Viscoelastic Materials, Dover, 1976.

Prerequisite: ENGR309, ENGR310, open to seniors and first year graduate students in engineering
(approval of instructor is recommended)

Summary : Primarily covers sections in text listed below.

I. 1D Constitutive Relations in Solid Mechanics

• Structural Mechanics Relations
• Continuum Mechanics Relations-Plasticity and Viscoplasticity (Ch. 1)
• Continuum Mechanics Relations-Viscoelasticity
• Modeling with ABAQUS and FEAP
• Programming in MATLAB and FORTRAN

II. 2D/3D Constitutive Relations in Solid Mechanics

• Classical Rate Independent Plasticity and Viscoplasticity (Ch. 2)
• Classical Viscoelasticity (Prof. Hackett)
• Micromechanical Damage Models
• Modeling with ABAQUS and FEAP
• Programming in FORTRAN

III. Consistent Tangent Moduli and Integration Algorithms

• Classical Rate Independent Plasticity and Viscoplasticity (Ch. 3)
• Classical Viscoelasticity (Prof. Hackett)
• Programming in MATLAB and FORTRAN

Grading Summary: The midterm and final exams will cover formulation and solution of 1D and 2D/3D Constitutive Relations, respectively. A term project will apply principles developed in the course to a practical situation and will require modification of a material routine in FEAP and subsequent verification using ABAQUS for solving a solid mechanics problem to be approved by the instructor.

Grader: The instructor

Grading Basis:

Midterm Exam ........................................... 20 %
Final Exam (Comprehensive)................... 30 %
Homeworks (Incl. Programming).............. 30 %
Term Project............................................... 20 %

Computers/Progamming: .The MCSR's SGI Sweetgum and Cray Magnolia are recommended for accessing the finite element software packages, Patran/FEA and ABAQUS, respectively. The PC's in the Engineering Microcomputer Lab are recommended to access MATLAB and Fortran. Example programs will be presented in class and posted on the web (see index page).