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Me 327

The document outlines the course ME-CEE 327 Finite Element Methods in Mechanics for Fall 2012, taught by Professor Wing Kam Liu and Dr. Adrian Kopacz. It includes course objectives, a weekly schedule of topics and homework assignments, grading criteria, and required textbooks. The course focuses on the theory and programming of the finite element method using MATLAB and includes tutorials on Abaqus software.

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28 views1 page

Me 327

The document outlines the course ME-CEE 327 Finite Element Methods in Mechanics for Fall 2012, taught by Professor Wing Kam Liu and Dr. Adrian Kopacz. It includes course objectives, a weekly schedule of topics and homework assignments, grading criteria, and required textbooks. The course focuses on the theory and programming of the finite element method using MATLAB and includes tutorials on Abaqus software.

Uploaded by

nipalaec
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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ME-CEE 327 Finite Element Methods in Mechanics Fall 2012

Instructors: Professor Wing Kam Liu and Dr. Adrian Kopacz


Days and Times: Tues, Thurs 12:30-1:50, TECH A110
TAs and Computer Instructors: Mr. Wylie Stroberg and Dr. Adrian Kopacz
COURSE OBJECTIVES:
To learn the basic theory behind the finite element method (FEM); how to program the finite
element method using MATLAB as a programming tool; to learn a general commercial FEM code to
write interface programs and solve typical engineering problems
Topics Problems
Week 1 Fish and Belytschko: Chapt. 2 (Sects. 2.1 to 2.3): 1D HW1: 2.1, 2.2
problems, element stiffness, assembly
Supplementary: Intro To FEM powerpoint
Week 2 Fish and Belytschko: Chapt. 3 (Sects. 3.1 to 3.6): Strong HW2: 3.1, 3.2, 3.3, 3.4, 3.5
and weak forms
Week 3 Abaqus Tutorial 1 HW3: 4.1, 4.2, 3.10, 5.17 (a & b)
Fish and Belytschko: Chapt. 4 (all): Element Shape Comp HW1: 2D Abaqus
Functions, Chapt. 5 (Sects. 1-2): FEM for 1D Elasticity, meshing
FEM for Heat conduction, Optional reading: Advection-
Diffusion, Replaced by Supplementary: 1D Elasticity and
Heat Conduction/Advection-Diffusion
Week 4 Fish and Belytschko: Chapt. 6: Strong and weak forms in HW4: 5.1, 5.3, 5.16(abc),
2D, Chapt. 7 (Sects. 7.1 to 7.2): Shape functions in 2D 3.7a
Supplementary: Lagrangian Polynomials and Numerical HW5: 5.16(d,e,f)
Integration
Week 5 Fish and Belytschko: Optional reading: Chapt. 7 (Sects. 7.1 Comp HW2: 1D FEM in
to 7.8): Continued MATLAB
Supplementary: Lagrangian Polynomials and Numerical
Integration
Week 6 Review HW6: 6.1
Midterm – 11/1 Comp HW3: 1D FEM in
MATLAB part 2
Week 7 Abaqus Tutorial 2 Comp HW4: 2D Heat
Fish and Belytschko: Optional reading: Chapt. 8: Heat Conduction in Abaqus
conduction in 2D, Advection-Diffusion Eqn.
Replaced by Supplementary: FEM for 2 & 3D problems
with Laplace equation
Week 8 Fish and Belytschko: Optional reading: Chapt. 9: Stress HW7: 7.1
Analysis in 2D; Replaced by Supplementary: Elasticity
Tensor Notes
Week 9 Fish and Belytschko: Optional reading: Chapt. 9: Stress HW8: 7.4 due 11/29 (consider
Analysis in 2D; removing it)
Supplementary: Principle of virtual work in multiple Comp HW5: 2D & 3D Stress
dimensions analysis in Abaqus
Week 10 Supplementary: Principle of virtual work in multiple HW9: 8.2
dimensions; Review and Q&A
Week 11 Make-up Lectures and Review

Week 12 FINAL EXAM – to be determined

GRADING: Written Homework 15%, Computer Assignments 25%, Exams 60%


TEXTBOOKS: Required: J. Fish and T. Belytschko. A first course in finite elements. Wiley & Sons
Ltd., West Sussex, UK, 2007.
Recommended: T.J.R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite
Element Analysis. Dover Publications, Inc., Mineola, NY, 2000.

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