Elasticity in Heterogeneous Materials

This lecture covers the mechanical problem of materials with heterogeneous properties, exploring the field of possible solutions and limits, homogenization, and the identification of effective moduli. It delves into the Voigt and Reuss hypotheses, upper and lower bounds estimation, and the behavior of composites with different phases. The Eshelby approach, inclusion interactions, and self-consistent approximations for diluted and undiluted composites are also discussed.