Mechanics of Continuous Media: Deformations

This lecture continues with a review of mechanics of continuous media, focusing on defining and calculating infinitesimal deformations. It covers deformation plane, stresses, equilibrium equations, and conservation of angular momentum. The lecture also discusses principal stress directions, eigenvalues, and eigenvectors, as well as conventions in geotechnical mechanics. Examples are provided to illustrate the concepts, such as 1D compression and displacement calculations. The instructor emphasizes the importance of understanding the sign conventions for stresses and strains in order to correctly interpret the results.