Classical Fluid Mechanics

Deformation

Author(s): M. Belevich

Pp: 63-73 (11)

DOI: 10.2174/9781681084091117010007

* (Excluding Mailing and Handling)

Abstract

We study an arbitrary deformation of a configuration of a body and show that this deformation may be reduced to a sequence of two special deformations: the rotation and stretching. The kinematics of a deformation is also considered. We introduce a notion of a vorticity vector and discuss its relationship with the antisymmetric part of the velocity gradient.


Keywords: Deformation, Deformation gradient, Deformation rate tensor, Kinematics of a deformation, Polar decomposition theorem, Rotation tensor, Stretching tensor, Velocity gradient, Vorticity vector.

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