Review of basic concepts of continuum mechanics. Statics: static stress analysis, stress tensors. eigenvalues and principal stresses, equilibrium, concept of static admissibility, Airy functions. Kinematics: transformations. expansion and deformation tensors, transport equations, linearization for small perturbations. Linear elasticity. Strong form solutions. Energy theorems and approximations: theorems of potential and complementary energy, Ritz approximations, weak form and variational formulations. Introduction to fracture, damage and plasticity.