MEEM 6110 – Advanced Continuum Mechanics
Department of Mechanical Engineering -
Engineering Mechanics
Michigan Technological University
Spring 2011
Instructor:
Dr.
Gregory M. Odegard
Office: 930 MEEM
Building
Phone:
(906)487-2329
Email:
gmodegar@mtu.edu
Classroom: MEEM 111
Time: T, Th 11:05 am - 12:20 pm
Office hours: Generally, my door is open all
week. You can contact me by email to schedule an appointment.
Materials: The lecture notes,
assignments, and additional material is available via
Blackboard
Course description:
Presents fundamental concepts in
hyperelasticity, damage mechanics, linear visocoelasticity,
quasi-linear viscoelasticty, poroelasticity, continuum jump conditions,
plasticity, and viscoplasticity. These theories are applied to
describe the mechanical behavior of a wide range of engineering
materials and biomaterials such as polymers, metals, soil, collagen,
muscle tissue, bone tissue, and cartilage.
Prerequisite
courses:
MEEM 5110 - Continuum
Mechanics/Elasticity
Required text:
Reference texts:
• Coussy, O.,
Poromechanics, John Wiley & Sons, Ltd., Hoboken, NJ (2004)
• Cowin, S.C. and S.B. Doty, Tissue Mechanics,
Springer Science, New York (2007)
• Holzapfel, G.A., “Nonlinear Solid
Mechanics: A Continuum Approach for Engineering”, John Wiley
& Sons, LTD., New York, NY, 2000
• Ferry, J.D., Viscoelastic Properties of
Polymers, Third Edition, John Wiley & Sons, New York (1980)
• Fung, Y.C., Biomechanics: Mechanical
Properties of Living Tissues, Springer Verlag, New York (1993)
• Malvern, L.E., Introduction to the Mechanics
of a Continuous Medium, Prentice-Hall, Upper Saddle River, NJ (1969)
• Mow, V.C., R. Huiskes, Basic Orthopaedic
Biomechanics and Mechano-Biology, Third Edition, Lippincott Williams
& Wilkins, Philadelphia, 2005
• Wang, H.F., Theory of Linear Poroelasticity:
with Applications to Geomechanics and Hydrogeology, Princeton
University Press, Princeton (2000)
Lectures:
Lectures will consist of material taken
from the textbook as
well as from other sources.
PDF files of
the lecture notes are provided via
Blackboard.
No late homework will
be accepted.
Students are encouraged to work with others
to complete homework assignments, however, all work turned in must be
original,
not a simple copy of someone else’s work.
Such copying with be considered as a breach of academic honesty
and
appropriate action will be taken. Homework assignments must be
stapled together for credit (no paper clips or fold-overs). For
each problem, the following items are required for full credit:
- Each homework problem must start at the top of a new
page
- Complete problem statement
- Clear step-by-step solution with necessary diagrams
- Neat, legible handwriting
- Answers with appropriate units must be boxed
Project:
Students will be required to prepare a
brief oral pressentation on a specialized topic in advanced
continuum mechanics. The students are expected to conduct a full
literature review and report the most recent advances in the specific
field. The oral presentations will be graded on
technical content and overall quality. The project topic can be
related to your graduate research or another area of significant
interest in advanced continuum mechanics. Topics must be approved
by the
instructor. Key dates:
- Project
proposal (one full-page summary): Tuesday, January 25, 2011
- List
of references: Tuesday, February 8, 2011
- Report
outline: Thursday, February 24, 2011
- Presentations:
April 19-21, 2011
Homework: 50%
Project: 50%
Tentative Course Topics:
1. Nonlinear elasticity
2. Hyperelasticity
3. Damage mechanics
4. Viscoelasticity
5. Poroelasticity
6. Jump conditions
7. Mechanics of biological tissue