On the velocity-gradient dependence of the kinetic energy of a continuum.

Description

Related Names

Lubliner, Jacob.
Columbia Univ. New York

Language(s)

English

Published

Ft. Belvoir Defense Technical Information Center JUN 1963.

Subjects

Equations.
Motion.
Partial differential equations.
Brillouin zones.
Stresses.
Propagation.
Wave propagation)
(Elastic scattering.
Velocity)
(Particles.
Dynamics)
(Continuum mechanics.
Equations.
Motion.
Differential equations, Partial.
Brillouin zones.
Elastic scattering.
Speed.
Particles.
Continuum mechanics.

Summary

The kinetic energy of a continuum is found to contain a term dependent on the velocity gradient when the material is assumed to be composed of elements which the variation of the velocity is taken into account. When this term is included in the equations pertaining to elastic wave propagation, cut-off frequencies are found for both irrotational and equivoluminal waves. (Author).

Note

"CU-3-62."

Physical Description

10 p.

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