Solid Mechanics Homework 31-33
31. A machine on a cantilever
32. A beam on simple supports
33. Vibration of piano strings
Return to the outline of the course.
Zhigang Suo's blog
Applied Mechanics Division Committee Meetings in Chicago
Rui Huang's post early today reminded me of writing to all of you who are going to ASME meeting in Chicago, 5-10 November 2006, a short 10 days from today.
As I wrote in September, much of the initial planning for the next year's Congress will happen at the committee meetings this year. These meetings will formulate possible topics for symposiums in the next Congress. Surely you would like to see your favorite topics get picked.
Meetings of all Technical Committees are open to all. Please find the meeting times of the Technical Committees that interest you. You may also want to know who are the Chairs of the 17 Technical Committees in the Applied Mechanics Division.
Vibration
A word file is attached.
Return to the outline of the course.
Solid Mechanics Homework 26-30
26. Stress-strain relations under the plane strain conditions
27. Getting weak: derive weak statements from differential equations
28. Potential energy and Rayleigh -Ritz method
29. Constant strain triangle
30. Gaussian quadrature
Return to the outline of the course.
Finite Element Method
The notes are attached. Return to the outline of the course.
Two recent articles about mathematicians
If you have not read them, you might find them interesting.
- The New Yorker article: Manifold Destiny
- The New York Times article: The Emperor of Math
Plane elasticity problems
A word file is attached.
Return to the outline of the course.
Solid Mechanics Homework 21-25
21. A fiber in an infinite matrix
22. Anti-plane shear
23. Saint-Venant's principle for orthotropic materials
24. Plane problems with no length scales
25. More scaling relations: a half space filled with a power-law material
Return to the outline of the course.
Solid Mechanics Homework 16-20
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16. Recommend a textbook that you think will help students in this course. See recommendations from students who took this course before.
- 17. Disclination (the cut-and-weld problem)
- 18. Design a rotating disk to avert plastic deformation
- 19. A half space of an elastic material subject to a periodic traction on the surface
- 20. Orthotropy rescaling
Return to the outline of the course.
The Boltzmann Distribution
- A small system in thermal contact with a large system
- The Boltzmann factor
- Partition function
- The probability for a system in thermal equilibrium with a reservoir to be in a specific state
- The probability for a system in thermal equilibrium with a reservoir to be in a configuration
- Thermal fluctuation of an RNA molecule
- A matter of words
Return to the outline of Statistical Mechanics.