IJPAM: Volume 77, No. 2 (2012)

ON THE FIRST AXIOM OF
NEWTONIAN CONTINUUM MECHANICS

Trevor H. Moulden
Department of Mechanical and Aerospace Engineering
The University of Tennessee Space Institute
Tullahoma, Tennessee, 37388, USA


Abstract. The first axiom of Newtonian particle mechanics is enlarged to accommodate continuum thermomechanics under non-relativistic circumstances. Then, as is well known, Galilean covariance of the total energy equation yields the balance of forces. It is shown that axial group covariance of the same equation allows the derivation of an angular momentum equation to complete the ontological structure of Newtonian continuum thermomechanics.

Received: December 13, 2011

AMS Subject Classification: 74AXX, 76AXX

Key Words and Phrases: continuum mechanics, covariance principles

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 2