Continuum Mechanics

MANE-6250

General curvilinear coordinates, determinants, diagonalization of symmetric matrices, polar decomposition theorem. Description of finite deformation and motion, convected coordinates. Conservation equations, Cauchy and Piola-Kirchhoff stress tensors and equations of motion. Boundary conditions. Thermodynamics of continua, invariance principles, objective tensors. Constitutive equations, nonlinear elasticity, thermoelasticity, heat conducting fluids. Linearizations. Variational derivation of the equations of nonlinear elasticity.

Past Term Data