Syllabus for ME6610

WMU College of Engineering and Applied Science

3 Credits

Summer I 2021

Last update: Fri Jun 25 05:47:43 AM 2021

Teaching team

Instructor and Course Coordinator:

Prof. Peter Gustafson

Item Address
Office G-215 Floyd Hall
Phone 269-276-3423
Email
Web Page http://homepages.wmich.edu/~pjm8969

Schedule

Virtual office hours will be held on Google Meet or by phone (by appointment only).

The calendar is also available full screeen in any browser.

You may also subscribe to the public ical address and your own e-learning ical address to integrate these calendars into your own.

Catalog Description

  • Implementation of the finite element methods: Mixed formulations. Plate bending. Time dependent problems in solid mechanics and heat transfer. Introduction to nonlinear problems.

Prerequisites:

  • ME 5610 – Finite Elements

Textbook/Suggested Resources

  • Concepts and Applications of Finite Elements, Cook, Malkus, Plesha, Fourth Edition, Wiley, 2002.

Reference materials:

  • Introduction to Finite Elements in Engineering, Tirupathi R. Chandrupatla and Ashok D. Belgundu, Third Edition

Topics

  • Review of linear and non-linear shape functions
  • Numeric integration, reduced integration
  • Numerics in computing. Floating points vs integers (binary numbers), numeric precision, matrix condition. GPUs vs CPUs
  • Solvers. Direct and iterative. Conjugate gradient methods.
  • Interpolation: incompatible modes, hierarchical elements (h,p,hp refinement methods)
  • Normal modes, natural frequencies, buckling, unstable collapse (Riks method)
  • Dynamics: implicit dynamics, explicit dynamics, modal methods, subspace methods (mechanical and thermal)
  • Non-conforming elements and the patch test
  • Shear locking
  • Plate bending
  • Non-linear materials: Rayleigh Ritz Method, plasticity
  • Error estimation
  • Implimentation (build your own code)
  • Multi-scale models

Reference materials:

The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Hughes, Thomas J.R., Dover, 2000.

Grading:

Half-lecture 20%
Mid Term Exam (Take Home) 20%
Final Exam (Online) 20%
Homework Assignments 10%
Independent project – mid-term report 0% (required to pass the class)
Independent project – final report 30%

Grading scale:

A: \(\ge\) 90%
BA: \(\ge\) 85%
B: \(\ge\) 80%
CB: \(\ge\) 75%
C: \(\ge\) 70%
DC: \(\ge\) 65%
D: \(\ge\) 60%

Assignments due at the beginning of class.

Working Together: For homework assignments, students are encouraged to discuss solution methods with their colleagues. Written work must be done independently and must accurately represent the work of the student.

All exams and quizzes are to be completed independently.

Absences: Attendance and discussion are a vital part of this class. Please make every effort to attend. If you will be absent, advise the instructor in advance.

Illness: Attendance is important, however, the health and well-being of our community is more important. Do not come to class if you are ill or suspect illness. Contact the instructor to inform him of your circumstances and to coordinate assistance.

Re-grades: Re-grade requests must be submitted in writing within 1 week of the return of any item. The instructor reserves the right to re-grade the entire item.

Academic integrity: You are responsible for making yourself aware of and understanding the policies and procedures in the Undergraduate and Graduate Catalogs that pertain to Academic Honesty. These policies include cheating, fabrication, falsification and forgery, multiple submission, plagiarism, complicity and computer misuse. [The policies can be found at http://catalog.wmich.edu under Academic Policies, Student Rights and Responsibilities.] If there is reason to believe you have been involved in academic dishonesty, you will be referred to the Office of Student Conduct. You will be given the opportunity to review the charge(s). If you believe you are not responsible, you will have the opportunity for a hearing. You should consult with your instructor if you are uncertain about an issue of academic honesty prior to the submission of an assignment or test.