Prerequisite: ME 820 - Continuum Mechanics.
Instructor: T. J. Pence, 2452 EB, 353-3889, pence@egr.msu.edu.
Time and Place: TTh 8:00-9:20 in 1202 EB
Required Text: The Linearized Theory of Elasticity, W.S.
Slaughter, Birkhauser, 2002
Course Description: Fundamentals of isotropic linear
elasticity. Solution of plane
elasticity problems. St. Venant bending and torsion. Singular
solutions. Basic three-dimensional solutions. Here is a
provisional schedule of topics is as follows:
1. Review of material assummed to be known: indicial notation,
stress concepts, strain definition, strain compatability.
2. Stress-strain relation for linear elasticity in terms of
elastic constants, reduction to two independent elastic constants for
isotropic materials.
3. Complete sets of field equations, basic boundary value problems,
superposition.
4. Reciprocol theorem, energy identity, uniqueness theorem.
5. Two dimensional problems, plane strain, plane stress, Airy
stress function.
6. St. Venant problems for extension, bending, torsion, and
flexure.
7. Basic potential function in three-dimensional
elastostatics, the biharmonic equation.
8. Singular solutions, the Kelvin state, doublets.
9. Pressurized spheres and cavities.
10. Problems for a half-space, half-line of dilitation,
punch problems.
11. Introduction to elastodynamics.
Grading: Grades will be assigned on the basis of homework (34%), a midterm exam (33% each) and a final exam (33%). You may expect from five to seven homework assignments. The final exam is scheduled for 7:45 am, Thursday May 3.
Policy: The due dates for the homework will be announced in class for the individual assignments. A limited degree of mutual assistance on homework is permissible, but all submitted assignments must utlimately be the student's own work. No late homework will be accepted for grading. Students are expected to attend lectures and class absence is no excuse for being unaware of announcements or course materials. The instuctor is not responsible for providieng lecture notes due to a student's absence. Students are on their honor to neither seek nor give unauthorized support or assistance on the Midterm and Final, nor to seek any unfair advantage over other students. Students are responsible for the security of their examination papers.