Frewer, Michael (2009)
More clarity on the concept of material frame-indifference in classical continuum mechanics.
In: Acta Mechanica, 202 (1)
Artikel, Bibliographie
Kurzbeschreibung (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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2009 |
| Autor(en): | Frewer, Michael |
| Art des Eintrags: | Bibliographie |
| Titel: | More clarity on the concept of material frame-indifference in classical continuum mechanics |
| Sprache: | Englisch |
| Publikationsjahr: | 2009 |
| Verlag: | Springer |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Acta Mechanica |
| Jahrgang/Volume einer Zeitschrift: | 202 |
| (Heft-)Nummer: | 1 |
| URL / URN: | http://dx.doi.org/10.1007/s00707-008-0028-4 |
| Kurzbeschreibung (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. |
| Freie Schlagworte: | Physics and Astronomy |
| Zusätzliche Informationen: | dio:10.1007/s00707-008-0028-4 |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) 16 Fachbereich Maschinenbau |
| Hinterlegungsdatum: | 24 Aug 2011 18:13 |
| Letzte Änderung: | 17 Feb 2014 08:46 |
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