MIE/CEE 605
Introduction
to Finite Element Modeling, Analysis, and Applications[1]
Spring 2003
Instructor: Prof. Ian. R. Grosse, ELAB 213B, (413) 5451350
email address:
Office Hours: TuTh
Teaching Assistant: Mr. Tiefu Shao (tshao@ecs.umass.edu)
Course Objectives:
The objective of the course is to develop an understanding
of the underlying mathematical theory behind the finite element method and its
application to the solution of problems from solid mechanics. The course
involves homework assignments, a midterm, and a term project. The term project
will involve the application of the finite element method to a realistic and
sufficiently complex engineering problem that is selected by the student and
approved by the instructor. Such projects typically require the use of a
commercial finite element code. Codes available to the students in the
Mechanical & Industrial Engineering Computer Laboratory (MICL) at the
After completing the course, the student will have an indepth understanding of the basic theory of the finite element method, as well as some handson experience in solving complex engineering problems by the finite element method.
Course web page: www.ecs.umass.edu/mie/faculty/grosse/605/index.html .
Required Text: None. Lecture notes will be given out periodically.
Grade Distribution
Homework & Class Participation 
20% 
Midterm 
20% 
Project 
60% 
Homework problems will be assigned periodically during the
semester. Homework problems may require use of PCbased software tools, such as
spreadsheets and symbolic math tools (i.e. MATHCAD, Mathematica,
etc.) for calculations, or in the case of modeling exercises they may required
the use of commercial finite element codes, such as ANSYS or Pro Mechanica. You may consult your peers, but you must do your
own work and pledge it with the following signed statement: this
assignment is my own work. Late
or unpledged homework and project will not be
accepted.
Course Outline[2]
Date(s)

Topic

Handouts

1/28 Tu 
Course Intro Finite Element Modeling
and Applications 
Intro. to FEM, Analysis, and Applications 
1/30 Th 
1D Bars and Beams: Linear
Static Analysis 

2/4 Tu 
2D Plane Frames: Linear
Static Analysis 

2/6 Th 
ANSYS Training ELAB 203 
ANSYS Tutorial 
2/11 Tu 
Rayleigh Ritz Variational
Method 
Variational Calculus and the RR Variational Method 
2/13 Th 2/20 Th 
Method of Weighted
Residuals 
Method of Weighted Residuals 
2/25 Tu 
Galerkin Solution Procedure 

2/27 Th 
ANSYS Training ELAB 203 

3/4 Tu 3/6 Th 
Discretization: The
Element Concept 
4 Element 1D Example 
3/11 Tu 
Linear Elements for 1D
BoundaryValue Problems 

3/13 Th 3/25 Tu 3/27 Th 
2D BoundaryValue
Problems The C^{0} triangle
element The C^{0}
Quadrilateral element Gaussian quadrature 
Planar 2D Heat Conduction with Edge And OutofPlane Convection 
4/1 Tu 

Midterm Exam 
4/3 Th 4/8 Tu 
Higher Order C^{0}
Elements and the Isoparametric Formulation 

4/10 Th 
Convergence, Error
Analysis, and Mesh Refinement 

4/15 Tu 4/17 Th 
Elasticity and the FEM 
2D Linear Elasticity with Initial Strains and Galerkin’s Finite Element Method 
4/22 Tu 
Axisymmetric Problems 
Axisymmetric Isotropic Linear
Elasticity and Galerkin’s Finite Element Method 
4/24 Th 4/29 Tu 
First Order Initial
BoundaryValue Problems: Diffusion 

5/1 Th 5/6 Tu 
Second Order Initial
BoundaryValue Problems: Dynamics 
2D Transient Heat Conduction 
5/8 Tu 5/9 W 5/10 Th 
Class Project
Presentations 
Project reports and *.html
files due 