Mechanics of Deformable Media,

Outline. Scalars, vectors and tensors. Deformation, strain and thermal expansion tensor. Stress tensor and elastic constants: Stress components and some basic equations of elasticity. Elastic constants for isotropic solids for various homogeneous deformations. Equilibrium equation and its application. Equation of motion and wave propagation. Transformation laws for elastic constants and the effect of crystal symmetry. The thermodynamics of solids. Application of equilibrium equation to fluids. Perfect fluids: Euler's equations. Irrotational (potential flow) in three dimensions. Potential flow in two dimensions: complex-variable method. Fluids with viscosity: The Navier-Stokes equation. Sound propagation. The Navier-Stokes equation: flow problems. Appendix. Bibliography. Index