Rigorous Bounds: Isotropic Phases

This lecture covers the concept of rigorous upper and lower bounds on the bulk modulus and volume changes for 2-phase composites of isotropic phases. The bounds are independent of geometry and microstructure, only depending on the volume fractions of the phases. The lecture also discusses the microstructure arrangement that gives these bounds, focusing on laminated plates and their Young's modulus. The instructor emphasizes the importance of adhering interfaces in achieving these bounds and explains the relationship between stress and strain in composite materials.