Continuum Mechanics Via Problems and Exercises: Theory and problems

adiabatic amplitude angular momentum Assume axis beam body forces boundary conditions Calculate Cartesian coordinate system coefficients components compressible conservation law Consider const constant continuum cross section curl cylindrical cylindrical coordinate system deformation density depend derivatives Determine discontinuity surface displacement displacement vector distribution elastic medium entropy equals zero equations of motion equilibrium Eulerian expression Figure formula grad heat conduction homogeneous Hooke's law ideal fluid ideal incompressible incompressible fluid instant internal energy isotropic jump Lagrangian coordinates Levi-Civita tensor linear liquid mass material line elements matrix metric tensor p₁ parameters particle perfect gas plane potential pressure Problem propagation quantities radius relationships relative rotation shock wave Show solution speed spherical steady strain tensor stream function stress tensor symmetric system of equations tangential stress temperature thermodynamic tube v₁ v₂ values velocity field viscous viscous fluid vorticity