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Time derivative obtained by applying the Riemannian manifold of Riemannian metrics to kinematics of continuaDérivée temporelle obtenue en utilisant la variété riemannienne des métriques riemanniennes aux cinématiques des milieux continus
Authors:Zdeněk Fiala
Affiliation:Institute of Theoretical and Applied Mechanics AS CR, Prosecká 76, 190 00 Prague 9, Czech Republic
Abstract:The infinite dimensional Riemannian geometry of Riemannian metrics is employed to propose novel objective time derivative by means of covariant derivative. To cite this article: Z. Fiala, C. R. Mecanique 332 (2004).
Keywords:Continuum mechanics  Solid mechanics  Objective time derivative  Finite deformations  Riemannian manifold of Riemannian metrics  Milieux continus  Mécanique des solides  Dérivée temporelle objective  Déformations finies  Variété riemannienne des métriques riemanniennes
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