Anisotropic Elasticity 2: Symmetry Operations, Multiphysics

This lecture covers the concept of anisotropic elasticity, focusing on symmetry operations and multiphysics. It discusses cubic symmetry, orthogonal axes, independent elastic constants, anisotropy ratios, and stiffness coefficients for selected cubic materials. The instructor explains the invariance of the stiffness tensor under various transformations and the implications on material anisotropy. The lecture also delves into material symmetry classes, their corresponding transformations, and the structure of the stiffness tensor, including triclinic and monoclinic symmetries. Additionally, it explores the relationship between strain and applied fields, shape changes due to stress and temperature, and the principal effects of electrocaloric, magnetocaloric, and thermal expansion phenomena.