Linear Elasticity: Basics and Material Functions

This lecture covers the basics of linear elasticity, including the definition of material functions, the concept of reversible and non-linear materials, and the stress-strain relationship. The instructor discusses the isotropic 4th rank tensor, Lamé constants, and Hooke's Law for linear elasticity. The lecture also explores the conservation of volume, bulk modulus, and shear modulus in isotropic materials. Additionally, it delves into the limits of elastic constants and the implications for material behavior under different loading conditions.