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More clarity on the concept of material frame-indifference in classical continuum mechanics

Frewer, Michael (2009):
More clarity on the concept of material frame-indifference in classical continuum mechanics.
In: Acta Mechanica, Springer, pp. 213-246, 202, (1), ISSN 0001-5970,
[Online-Edition: http://dx.doi.org/10.1007/s00707-008-0028-4],
[Article]

Abstract

There was and still is a considerable amount of confusion in the community of classical continuum mechanics on the concept of material frame-indifference. An extensive review is presented which will point out and try to resolve various misconceptions that still accompany the literature of material frame-indifference. With the tools of differential geometry a precise terminology is developed ending in a consequent mathematical framework, in which not only the concept of material frame-indifference can be formulated naturally, but showing advantages that go beyond all conventional considerations on invariance used so far in classical continuum mechanics. As an exemplification the Navier-Stokes equations and the corresponding Reynolds averaged equations are written in a general covariant form within Newtonian mechanics.

Item Type: Article
Erschienen: 2009
Creators: Frewer, Michael
Title: More clarity on the concept of material frame-indifference in classical continuum mechanics
Language: English
Abstract:

There was and still is a considerable amount of confusion in the community of classical continuum mechanics on the concept of material frame-indifference. An extensive review is presented which will point out and try to resolve various misconceptions that still accompany the literature of material frame-indifference. With the tools of differential geometry a precise terminology is developed ending in a consequent mathematical framework, in which not only the concept of material frame-indifference can be formulated naturally, but showing advantages that go beyond all conventional considerations on invariance used so far in classical continuum mechanics. As an exemplification the Navier-Stokes equations and the corresponding Reynolds averaged equations are written in a general covariant form within Newtonian mechanics.

Journal or Publication Title: Acta Mechanica
Volume: 202
Number: 1
Publisher: Springer
Uncontrolled Keywords: Physics and Astronomy
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 18:13
Official URL: http://dx.doi.org/10.1007/s00707-008-0028-4
Additional Information:

dio:10.1007/s00707-008-0028-4

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