Journal of Theoretical
and Applied Mechanics
43, 4, pp. 825-840, Warsaw 2005
and Applied Mechanics
43, 4, pp. 825-840, Warsaw 2005
On the material and spatial description of rigid fields
Rigid kinematics is re-examined applying the material, spatial and mixed description without use of any coordinate system. Some tensor representations for the displacement gradient, velocity gradient, and acceleration gradient are obtained. Special cases of rotation about fixed as well as nearly fixed axis are distinguished. Assumption of small rotation is also taken into account. Relative motion of a particle is briefly described.
Keywords: kinematics; rigid body; material and spatial description; relative motion