Mechanics of continuous media

Contents:Modelling the continuum; Lagrangian and Eulerian descriptions; Deformation and strain: the homogeneous tangent map, expansion tensor, Green-Lagrange strain tensor, displacement field, polar factorisation and rigid body transformation, infinitesimal transformations; Motion and flow: convective transport and material derivative, rate of deformation and vorticity tensor, material derivative of a volume integral, conservation of mass; Balance equations: linear momentum and equations of motion, conservation of energy; Analysis of stress:Stress tensor symmetry, stress transformation laws, principal stresses, stress invariants, Mohr’s circles for stress;Linear elasticity; Fluids; Plasticity; Viscoelasticity.