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
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:
Holzapfel, G.A., “Nonlinear Solid Mechanics: A Continuum Approach for Engineering”, John Wiley & Sons, LTD., New York, NY, 2000

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 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:

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:
Tentative Grading:
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