Principles of Classical Mechanics and Field Theory, Volumen 3,Número 1

acceleration affine connection angular angular momentum angular velocity arbitrary C. R. Acad Cauchy's Chap circulation preserving classical co-ordinate system components condition const constant constitutive equations corresponding covariant covariant derivative curve defined definition deformation density derivatives differential dimensions displacement dynamics elastic electromagnetic energy entropy equations of motion equivalent Euclidean Euler field finite fluid flux follows force formula frame function geometrical given grad Hamiltonian Hence inertia integral invariant irrotational isochoric kinematical Lagrangian linear mass material Math mathematical matrix mechanics metric tensor momentum necessary and sufficient normal obtain orthogonal particle Phys physical plane potential principle proper numbers quadric quantities rectangular Cartesian relations result rigid body rotation satisfy scalar Sect shear simple shear singular surface solution space steady strain stream lines stress symmetric tensor tensor field theorem theory thermodynamic trajectories transformation Truesdell vanishes variables vector velocity vortex vorticity