Department of Mechanical Engineering - Engineering Mechanics

Michigan Technological University

Spring 2011

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

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

• 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)

• 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

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

2. Hyperelasticity

3. Damage mechanics

4. Viscoelasticity

5. Poroelasticity

6. Jump conditions

7. Mechanics of biological tissue