Question

A long composite hollow cylinder (L >> 2c) is subjected to an internal pressure, p, as shown in the figure. Assuming idealized perfect bonding between the two materials, the normal stress and displacement will be continuous across the interface atr b. Determine the stress and displacement fields in each material. Assume isotropic material properties El, v, and E2, V2 (30 pts) 2a Material2 Material 1 2b 2C

Answer 1

Given r = b general plane strain asymmetric solution sigma_r = A/r v + B, sigma_0 = -A/r v + B v_r = 1 + u/E[- A/r + (1 - 2r)Br) Boundary condition for compsite cylinder with pressure p sigma_r