ES 240, solid mechanics, homework, Fall 2008
Solid Mechanics Homework 39-42
Submitted by Zhigang Suo on Wed, 2006-11-15 23:47.
39. A circular transverse wave
40. Creep and recovery
41. Temperature dependence and Mr. Arrhenius
42. A loose nylon bolt
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Solid Mechanics Homework 34-38
Submitted by Zhigang Suo on Sat, 2006-11-04 17:42.
34. Surface acoustic wave device
35. Approximate a rod as a 2DOF system
36. Soft tissues: large difference in velocities of longitudinal and transverse waves
37. A general approach to determine body waves
38. Reflection and refraction of a transverse wave
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Solid Mechanics Homework 31-33
Submitted by Zhigang Suo on Sun, 2006-10-29 00:38.
31. A machine on a cantilever
32. A beam on simple supports
33. Vibration of piano strings
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Solid Mechanics Homework 26-30
Submitted by Zhigang Suo on Mon, 2006-10-23 16:11.
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
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Solid Mechanics Homework 21-25
Submitted by Zhigang Suo on Thu, 2006-10-19 13:56.
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
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Solid Mechanics Homework 16-20
Submitted by Zhigang Suo on Thu, 2006-10-12 13:41.- 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
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Solid Mechanics Homework 11-15
Submitted by Zhigang Suo on Wed, 2006-10-04 01:29.
This set of homework relies on a few elementary facts of the algebra of vectors and tensors. If you are vague about these facts, see some old notes I wrote when I taught ES 240 in 2006: http://www.imechanica.org/node/205/revisions/1385/view
11. Positive-definite elastic energy density
12. The coefficient of thermal expansion (CTE) is a second-rank tensor.
13. Hooke's law for anisotropic, linearly elastic solids
14. Invariants of a tensor
15. A "derivation" of the Mises (1913) yield criterion
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Solid Mechanics Homework 6-10
Submitted by Zhigang Suo on Fri, 2006-09-29 00:53.6. Post an entry in iMechanica to explain to your teaching staff and classmates why you take this class.
7. Residual stress around an inclusion
8. Lame Solution in Cylindrical Shape
9. Stress Concentration around a Circular Hole
10. Back-of-Envelope Calculation
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Solid Mechanics Homework 1-5
Submitted by Zhigang Suo on Wed, 2006-09-20 19:24.Due 26 September 2008 in class
- Nothing Is Continuum, but...
- Hooke's law in various forms
- Compatibility: the strain-displacement relations
- Traction vector on a plane
- Turbine blade: centrifugal force and creep
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