homework

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.