Classical Fluid Mechanics

Classical Fluid Mechanics

This textbook primarily explains the construction of classical fluid model to readers in a holistic manner and the way it is constructed. Secondly, the book also demonstrates some possible ...
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Deformation

Pp. 63-73 (11)

M. Belevich

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.

Affiliation:

St.Petersburg Russia.