Basic Continuum Mechanics

Overview & Synopsis

This note will create a much
more stable basis for continued work or study in the field of mechanics of
continua, be they solid or fluid. Topics covered includes: Vectors and second
order tensors, Change of coordinates, Higher order tensors, Derivatives,
Analysis of small deformations, Kinematics, The dynamic equations of continuum
mechanics, Elastic materials, Isotropic linearly elastic solids, Compatibility
and Plane elasticity, Variational principles, Newtonian fluids and Elastic
fluids.