P. Gilormini et P. Rougee, THE RATES OF ROTATION OF MATERIAL DIRECTI ONS IN A DEFORMING MEDIUM, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 318(4), 1994, pp. 421-427
The rates of rotation of material directions in a deforming medium are
analyzed. New interpretations of the vorticity vector are obtained by
considering averages over various sets of material fibres at a point
in the medium. It is shown that the suitable averaging must be weighte
d by the geometrical inertia operator.