Markus Schöberl, Kurt Schlacher,
"Covariant formulation of the governing equations of continuum mechanics in an Eulerian description"
, in Journal of Mathematical Physics, Vol. 48, Nummer 5, American Institute of Physics, Seite(n) 052902-1 – 052902-15, 5-2007, ISSN: 0022-2488
Original Titel:
Covariant formulation of the governing equations of continuum mechanics in an Eulerian description
Sprache des Titels:
Englisch
Original Kurzfassung:
We present the balance relations for a continuum in the Eulerian formulation in a pure covariant fashion. Based on the analysis of nonrelativistic particle mechanics, we adapt the covariant description to the case of a continuum. The use of the covariant Nijenhuis differential as well as the splitting of the vertical configuration bundel are the key objects that allow a coordinate-free representation. We state the balance equations such that they are valid, also when time variant transformations are applied, which leads to a nontrivial space-time connection and a metric which explicitly depends on the time.
Sprache der Kurzfassung:
Englisch
Journal:
Journal of Mathematical Physics
Veröffentlicher:
American Institute of Physics
Volume:
48
Number:
5
Seitenreferenz:
052902-1 – 052902-15
Erscheinungsmonat:
5
Erscheinungsjahr:
2007
ISSN:
0022-2488
Anzahl der Seiten:
15
Notiz zur Publikation:
Schöberl M.: Covariant Formulation of the Governing Equations of Continuum Mechanics in an Eulerian Description, In: Journal of Mathematical Physics, Vol. 48, No. 5, pp. 052902-1 – 052902-15, ISSN: 0022-2488, 2007.
Forschungs-