< Introduction to Elasticity
  1. Write down the equation of equilibrium in the absence of body forces. Use index notation.
  2. Write down the relationship between the traction vector acting on an arbitrary surface of a body and the stress tensor in the body.
  3. Write down the basis transformation rule for the stress tensor in both index notation and matrix notation.
  4. Consider a square block under pure shear as shown below. Draw the directions of the maximum and minimum principal stresses on the figure. Ignore the third dimension.
Pure shear.
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