homework

This problem set is due on Friday, Oct. 12.

To all students in ES 240 this semester,

Due to popular demand my office hour is moved from Tuesday to Thursday 4~5pm starting from this week. The location is changed to Rm. 123, Maxwell Dworkin (33 Oxford Street).

Nanshu

This problem set will be due on Friday, Oct. 4th.

This problem set is due on Friday, Sep. 28, 2007 in class.

This is the last homework set for ES 242r / ENGM 940

This set is related to buckle-driven delamination, crack bridging, and interfacial cracks.

To the students of ES 241:

Although finite deformation was introduced in ES 240 (Solid Mechanics), finite deformation is a building block of ES 241. To review the subject, please go over a set of problems compiled by Jim Rice. If you need a reference, see my outline of finite deformation, where you can also find a short list of textbooks.

This set of homework is on mixed mode fracture and interfacial fracture

Problem Set 2

Lecture 5

Problem Set 1 (updated)

43. Energy loss
44. Zener model and relaxation test
45. Zener model and cyclic-load test
46. Vibration of a viscoelastic rod

Return to the outline of the course.

39. A circular transverse wave
40. Creep and recovery
41. Temperature dependence and Mr. Arrhenius
42. A loose nylon bolt

Return to the outline of the course.

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

Return to the outline of the course. 

31. A machine on a cantilever
32.  A beam on simple supports
33. Vibration of piano strings

Return to the outline of the course.

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.

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.

• 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.

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:  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

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

Return to the outline of the course.

Due 26 September 2008 in class

1. Nothing Is Continuum, but...
2. Hooke's law in various forms
3. Compatibility: the strain-displacement relations
4. Traction vector on a plane
5. Turbine blade: centrifugal force and creep

Return to the outline of the course.