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MEAM 305

Introduction to Finite Element Methods


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General Information

Homework and Examination



Contents Covered in the Course (Tentative)

Part I : General Introduction to FEM

1. What is FEM ? Relation with CAE, FEM Programs

2. Typical Finite Element Library

3. Finite Element Modeling

4. Type of Finite Element Analysis

Part II : Foundation of FEM

1. FEM for Truss/Frame Structures ( will be skipped )

2. Dynamics for Truss/Frame Structures ( will be covered at the end of the course )

3. FEM for Plane Elasticity using QUAD4 ( will be skipped )

4. QUAD4 : Plate/Shell Structures ( will be skipped )

5. HEXA8 : Three-Dimensional Solid Element

6. Heat Transfer Analysis ( will be skipped )

7. Flow Analysis ( will be skipped )

Part III : Advanced Topics of FEM

1. Mesh Generation Methods and Adaptive Finite Element Methods

2. Sensitivity Analysis and Design Optimization

3. Recent Trends in FEM Technology

Crash Simulation of a Car Body by DYNA ( Lowrence Rivermore Lab )

Instructor : Noboru Kikuchi

Office Hours and Grade System

Textbook and/or Course Pack


Homework and Additional Notes

All the document files for homework and additional notes are prepared by MS Words 6.0.1 in Mac to create postscript files for Acrobat 3.0 to make #.pdf files for internet posting. Acrobat 3.0 Reader can be downloaded from Adobe, and these files should be read in any Mac, Window, and Unix computers.

  • Homework #1 ( 2/10/97 ) Posted on 1/31/97
  • Homework #1 Solutions by Mr. Chiku ( 3/12/97 ) Posted on 1/31/97
  • Additional Note #1 for Equation Solvers for Finite Element Methods : Posted on 2/5/97
  • Homework #2 (3/12/97) Posted on 2/14/97
  • Homework #2 Solutions by Mr. Yoo Posted on 4/6/97
  • Homework #3 (4/29/97) Posted on 4/6/97
  • Homework #3 Solutions by Mr. Yoo Posted on 5/6/97
  • Midterm Examination
  • Solutions / Midterm Examination
  • Final Examination
  • Solutions / Final Examination

  • Exercises


    Other Links Related

  • MEAM homepage
  • College of Engineering homepage
  • University of Michigan homepage


  • Links for Finite Element Analysis Software prepared by COMCO

    This links contains most of commercially available finite element analysis software in the world. If you wish to look at availability of FEA software, please visit them. Especially, you should look at MSC/NASTRAN, ABAQUS, ANSYS, ADINA, LS/DYNA, and others. The following is a selected list.

  • News and Links of the Ongoing Issues on FEA can be found in this site.

    Please visit this site often, and explore what is going on in the area of FEA.


  • If you are interested in searching literature on finite element methods, please link to FEA Books


  • Address

    The University of Michigan
    2250 GGBrown Laboratory
    2350 Hayward
    Ann Arbor, MI 48109-2125

    Created by Noboru Kikuchi
    Last updated February 11, 1997