0 0 votes Consider two concentric circular cylinders of different materials $M$ and $N$ in contact with each other at $r=b$, as shown below. The interface at $r=b$ is frictionless. The composite cylinder is subjected to internal pressure $P$. Let $(u_r^M, u_{\theta}^M)$ and $(\sigma_{rr}^M, \sigma_{\theta \theta}^M)$ denote the radial and tangential displacement and stress components, respectively, in material $M$. Similarly, $(u_r^N, u_{\theta}^N)$ and $(\sigma_{rr}^N, \sigma_{\theta \theta}^N)$ denote the radial and tangential displacement and stress components, respectively, in material $N$. The boundary conditions that need to be satisfied at the frictionless interface between the two cylinders are: $u_r^M = u_r^N \text{ and } \sigma_{rr}^M = \sigma_{rr}^N \text{ only}$ $u_r^M = u_r^N \text{ and } \sigma_{rr}^M = \sigma_{rr}^N \text{ and } u_{\theta}^M = u_{\theta}^N \text{ and } \sigma_{\theta \theta}^M = \sigma_{\theta \theta}^N$ $u_{\theta}^M = u_{\theta}^N \text{ and } \sigma_{\theta \theta}^M = \sigma_{\theta \theta}^N $ $\sigma_{rr}^M = \sigma_{rr}^N \text{ and } \sigma_{\theta \theta}^M = \sigma_{\theta \theta}^N$ Mechanics of Materials gateme-2019-set2 thin-cylinders mechanics-of-materials applied-mechanics-and-design + – ♦Arjun 817 views answer comment Share Follow Add Sync Questions 0 reply Please log in or register to add a comment.
