Question

Find the strain tensor inside an infinite hollow cylinder of inner and outer radii R₁ and R₂ respectively and deformed by uniform pressure p1 inside and p2 outside.

Answer 1

$T=\pi \begin{bmatrix} p_1 & p_2 \\ R_1^2 & R_2^2 \end{bmatrix}=\pi(p_1R_2^2-p_2R_1^2).$