ENGR 690: FINITE ELEMENT ANALYSIS II
TTh 9:30 - 10:45 PM              213 Carrier Hall
Instructor: Dr. Chris Mullen 
(http://www.olemiss.edu/~cvchris)

(Last Updated: 8-22-00)

Office: Rm. 204 Carrier Hall
Office Hours: By appointment		 Voice Mail: (662) 915-5370
Email: cvchris@olemiss.edu
Recommended Text: Bathe, K.-J., Finite Element Procedures, Prentice-Hall, 1996 Prerequisite: ENGR590 (Finite Element Analysis I) or equivalent
Recommended References:
1. Hughes, T. H. R., The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, 1987.
2. Zienkiewicz, O. C., and Taylor, R. L., The Finite Element Method-Volume 2: Solid and Fluid Mechanics, Dynamics and Nonlinearity, 4th ed., McGraw-Hill, 1991.
3. Kardestuncer, H., Ed., Finite Element Handbook, McGraw-Hill, 1987.
4. Harris, C. M., Shock and Vibration Handbook, 4th. ed., McGraw-Hill, 1996.
5. Chopra, A. K., Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice-Hall, 1995.
6. Clough, R. W., and Penzien, J., Dynamics of Structures, McGraw-Hill, 1975.
7. Thomson, W., T., Theory of Vibration with Applications, 4th ed., Prentice Hall, 1993.
 
Summary : 
Lectures notes will be provided to students throughout the semester that will serve as a manuscript for a new textbook.  
Where section numbers are listed below, notes will parallel topics in the recommended text.

I. Displacement Formulation of Engineering Analysis Problems

  • Discrete and continuous systems (Sec 3.2, 3.3)
  • Displacement method, error, and convergence (Sec 4.2, 4.4 )
  • 3D isoparametric continuum and structural elements (Sec 5.3-5.5 )
  • Adaptive mesh refinement procedures
  • Modeling with commercial packages (ABAQUS, SAP2000)
  • Programming in MATLAB and FORTRAN
II. Nonlinear Static Analysis
  • Incremental equations for continuous systems (Sec 6.2)
  • 3D isoparametric continuum and structural elements (Sec 6.3,6.5 )
  • Fiber beam elements
  • Material nonlinearity: inelastic constitutive relations (Sec 6.6 )
  • Geometric nonlinearity: contact conditions (Sec 6.7 )
  • Solution techniques (Sec 8.4 )
  • Modeling with nonlinear commercial packages (ABAQUS, SAP2000)
  • Programming in MATLA and FORTRAN
III. Dynamic and Eigenvalue Analysis
  • Direct integration methods for continuous systms (Sec 9.2)
  • Error, stability, and convergence (Sec 9.4)
  • Explicit and implicit integration for nonlinear analysis (Sec 9.5)
  • Eigenproblem solution methods (Sec 10.2, 11.3, 11.6)
  • Mode superposition method in dynamic analysis (Sec 9.3)
  • Modeling with dynamic commercial packages (ABAQUS, SAP2000)

    • Programming in MATLAB and FORTRAN
 Grading Summary: 
Two midterm exams will cover topics in linear dynamics and nonlinear statics, respectively. 
The final exam will cover all material presented during the course. 
A term individual project will apply principles developed in the course to a problem of relevance to the student's research and will require demonstrated literature search and programming of a limited scope 2D/3D nonlinear static or dynamic finite element computer program or a user-defined material/element for a general purpose software package..
Grader: The instructor
Weights: Midterm Exams I,II- 40 % (20 % each); Homeworks- 30 %; Term Project- 30 %
Computers/Progamming: . 
Licenced software on Sweetgum and the Engineering Microcomputer Lab and Weir Hall is provided for programming assignments.
Example MATLAB and FORTRAN programs will be presented in class and text files will be posted on the course web site.