Applied Continuum Mechanics

1. Introduction 1.1 General 1.2 Vectors and tensors 1.3 Green-gauss theorem and boundary surfaces 2. Deformations and kinematics 2.1 General 2.2 Coordinate systems 2.3 Non-cartesian 2.4 Strain tensor 2.5 Rate-of-deformation tensor 2.6 Coordinate transformations for strains 2.7 Dilatational and deviatoric properties 2.8 Compatibility equations 3. Equilibrium and kinetics 3.1 General 3.2 Forces and stresses 3.3 Basic balance laws 3.4 Coordinate transformations for stresses 3.5 Deviatoric stress tensor 3.6 Stresses with large strains 3.7 Equations of motion for large strains 4. Elastic solids 4.1 Constitutive equations for linear elastic Solids 4.2 Navier equations 4.3 Energy principles 4.4 Thermodynamics of solids 4.5 Finite elasticity 4.6 Torsional stress 4.7 Fiber components 5. Newtonian fluids 5.1 Introduction 5.2 Constitutive equations 5.3 Navier-Stokes system of equations 5.4 Compressible viscous flow 5.5 Ideal flow 5.6 Rotational flow 5.7 Turbulence 5.8 Boundary layer 5.9 Convective heat transfer 5.10 High-speed aerodynamics 5.11 Acoustics 5.12 Reacting flows References.