Consider the problem geometry described in Exercise 10.9. Show that the suggested potentials (with different A) can also be used to solve the problem of a rigid inclusion of radius a + δ, which is forced into the hole of radius a. Determine the new constant A and the stress and displacement fields for r ≥ a.

Data from exercise 10.9

Show that the potentials γ (z) = 0,Ψ(z) = A/z will solve the problem of a circular hole of radius a with uniform pressure loading p in an infinite elastic plane. Determine the constant A and the stress and displacement fields for r ≥ a.