Mechanics of Continuous Media: Stress and Strain

This lecture covers the concept of stress and strain in continuous media, focusing on the Cauchy stress tensor and its components. The instructor explains how to calculate stress on a surface, the relationship between stress and normal vectors, and the importance of boundary conditions in determining stress distribution. The lecture also delves into the equilibrium equations and the conditions for mechanical equilibrium. Through examples, the audience learns how to apply the Cauchy relation to analyze stress under different loading conditions.