Lecture
This lecture covers the determination of effective elastic constants for composites using real microstructures as examples. It explores the rigorous bounds and exact results for small angles of the composite materials, emphasizing the complexity of composite microstructures. The instructor explains the need to solve equations for equilibrium and strain at all points, highlighting the challenges in determining composite effective elastic modulus. The lecture delves into the development of systematic bounds for material properties and the consideration of total elastic energy in composites to establish lower and upper bounds. Overall, it provides insights into the intricate process of determining effective elastic constants in composite materials.