Linear Elasticity: Cylindrically-symmetric Problems

This lecture covers linear elasticity, focusing on cylindrically-symmetric problems such as cylindrical shells under mechanical and thermal loads in isotropic materials. It explains the displacement field in cylindrical coordinates and the equilibrium equations. The lecture also discusses the strain components, boundary conditions, and the simplification of Hooke's Law for axially-symmetric problems. The instructor emphasizes the importance of solving the equilibrium equation along with Hooke's Law to obtain the displacement field. Standard cases and practical applications, like turbine disks, are also addressed.