Linear Elasticity: Spherically-Symmetric Problems

This lecture covers the application of linear elasticity theory to spherically-symmetric problems, focusing on Hooke's law in different coordinate systems, isotropic materials, and the displacement field in small strain linear elasticity. The instructor explains the stress and displacement inside a pressurized hollow sphere, the force balance on spherical shells, and the stresses and displacements in hemispheres. The lecture concludes with examples of axially-symmetric problems in cylindrical shells under mechanical and thermal loads.