International Journal of Differential Equations

International Journal of Differential Equations / 2006 / Article

Open Access

Volume 2006 |Article ID 018572 | https://doi.org/10.1155/DENM/2006/18572

K. R. Rajagopal, Giuseppe Saccomandi, "On internal constraints in continuum mechanics", International Journal of Differential Equations, vol. 2006, Article ID 018572, 12 pages, 2006. https://doi.org/10.1155/DENM/2006/18572

On internal constraints in continuum mechanics

Received18 Jun 2005
Accepted22 Aug 2005
Published17 Jan 2006

Abstract

In classical particle mechanics, it is well understood that while working with nonholonomic and nonideal constraints, one cannot expect that the constraint be workless. It is curious that in continuum mechanics, however, the implications of the result in classical mechanics have not been clearly understood. In this paper, we show that in dealing with the response of dissipative systems, one cannot require that constraints do no work or ignore the fact that the material response functions depend on the constraint reaction. An example of this is the viscosity of a fluid depending on the pressure.

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Copyright © 2006 K. R. Rajagopal and Giuseppe Saccomandi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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