Continuum Mechanics

An introduction to the mathematical foundations of continuum mechanics. Vectors and tensors; properties and basic operations. Mass conservation and kinematics of deformation; displacement/velocity fields and strain measures. Momentum conservation laws; stress measures. Energy conservation and kinetic irreversibility laws; thermodynamics. Material Fame indifference and constitutive equations; elastic, viscous, and viscoelastic responses. Linearization. Simple problems in finite and linear elasticity, and in Navier-Stokes flows. Introductory plastic flow rules.