Comptes Rendus
no. 2
Time derivative obtained by applying the Riemannian manifold of Riemannian metrics to kinematics of continua
[Dérivée temporelle obtenue en utilisant la variété riemannienne des métriques riemanniennes aux cinématiques des milieux continus]

Présenté par : Évariste Sanchez-Palencia

Zdeněk Fiala1
1 Institute of Theoretical and Applied Mechanics AS CR, Prosecká 76, 190 00 Prague 9, Czech Republic
Comptes Rendus. Mécanique, Volume 332 (2004) no. 2, pp. 97-102.

La géometrie riemannienne des métriques riemanniennes, de dimension infinie, est employeé pour proposer une nouvelle derivée temporelle objective par la biais de la dérivation covariante.

The infinite dimensional Riemannian geometry of Riemannian metrics is employed to propose novel objective time derivative by means of covariant derivative.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2003.12.001
Keywords: Continuum mechanics, Solid mechanics, Objective time derivative, Finite deformations, Riemannian manifold of Riemannian metrics
Mot clés : Milieux continus, Mécanique des solides, Dérivée temporelle objective, Déformations finies, Variété riemannienne des métriques riemanniennes
Zdeněk Fiala 1

1 Institute of Theoretical and Applied Mechanics AS CR, Prosecká 76, 190 00 Prague 9, Czech Republic 
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Zdeněk Fiala. Time derivative obtained by applying the Riemannian manifold of Riemannian metrics to kinematics of continua. Comptes Rendus. Mécanique, Volume 332 (2004) no. 2, pp. 97-102. doi : 10.1016/j.crme.2003.12.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2003.12.001/

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