Solid Mechanics: Stress, Strain, Invariants

This lecture covers stress and strain invariants, balance of angular momentum, constitutive laws, and failure criteria in solid mechanics. It discusses the use of invariants in measuring stress and strain, as well as their role in constitutive laws. The lecture also explores stress and strain tensors, principal stresses and strains, equilibrium equations, and constitutive laws relating stress to strain. Additionally, it delves into topics such as nonlinear elasticity, plasticity, viscosity, damage, non-homogeneity, and non-isotropy in materials. The concepts of 2D approximation, cylindrical symmetry, plane stress, and plane strain are also explained.