[Dérivée temporelle obtenue en utilisant la variété riemannienne des métriques riemanniennes aux cinématiques des milieux continus]
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.
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Mot clés : Milieux continus, Mécanique des solides, Dérivée temporelle objective, Déformations finies, Variété riemannienne des métriques riemanniennes
Zdeněk Fiala 1
@article{CRMECA_2004__332_2_97_0, author = {Zden\v{e}k Fiala}, title = {Time derivative obtained by applying the {Riemannian} manifold {of~Riemannian} metrics to kinematics of continua}, journal = {Comptes Rendus. M\'ecanique}, pages = {97--102}, publisher = {Elsevier}, volume = {332}, number = {2}, year = {2004}, doi = {10.1016/j.crme.2003.12.001}, language = {en}, }
TY - JOUR AU - Zdeněk Fiala TI - Time derivative obtained by applying the Riemannian manifold of Riemannian metrics to kinematics of continua JO - Comptes Rendus. Mécanique PY - 2004 SP - 97 EP - 102 VL - 332 IS - 2 PB - Elsevier DO - 10.1016/j.crme.2003.12.001 LA - en ID - CRMECA_2004__332_2_97_0 ER -
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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