Mechanics of Continuous Media

This lecture covers the placement of stress components on a cube, the definition of stress tensor components, the concept of symmetry in stress tensors, the relationship between strain and stress tensors, and the isotropic linear elastic material behavior. The lecture also delves into the concept of energy of deformation, the relationship between strains and stresses, the major and minor symmetries of stress tensors, and the implications of material isotropy. The instructor explains the concepts using examples and analogies, such as the analogy of a spring's energy and the relationship between contractions and expansions due to temperature changes.