Elastic Deformation: Materials Behavior & Homogenization

This lecture covers the behavior of materials under elastic deformation, including the influence of temperature on modulus of elasticity, thermal expansion, and isotropy. It also delves into the mechanical parametrization of heterogeneous materials, homogenization techniques, and the concept of macro-homogeneity. The instructor discusses the mechanical properties of various materials, such as metals, polymers, and ceramics, and explains the relationship between elastic constants and thermal expansion coefficients. Additionally, the lecture explores the concept of effective modulus in heterogeneous materials through homogenization methods and the identification of the effective modulus by considering the microstructure of the material phases.