Linear Statics of Deformable Solids

This lecture covers the definitions of linear statics for linear elastic solids in small deformations, including boundary conditions and the elasticity tensor. It explains stress equilibrium, linear elasticity, and the differential problem of linear statics. The Virtual Work Principle is introduced, leading to the weak form of the elastostatic problem. The lecture also discusses the function space, the weak form of linear statics, and the approximate solution using the Galerkin method. It concludes with the Finite Element Method, highlighting its role in simplifying the treatment of boundary conditions and system matrices for solving linear static problems.