Is the logarithmic time derivative simply the Zaramba-Jaumann derivative?

0324568 - ÚTAM 2009 RIV CZ eng C - Conference Paper (international conference)
Fiala, Zdeněk
Is the logarithmic time derivative simply the Zaramba-Jaumann derivative?
[Je logaritmická časová derivace jednoduše Zarembova-Jaumannova derivace?]
Engineering Mechanics 2009. Praha: ÚTAM, 2009 - (Náprstek,, J.; Fischer, C.), s. 46-59. ISBN 978-80-86246-35-2.
[Engineering mechanics 2009. Svratka (CZ), 11.05.2009-14.05.2009]
R&D Projects: GA ČR(CZ) GA103/09/2101
Institutional research plan: CEZ:AV0Z20710524
Keywords : finite deformations * logarithmic time derivative * Zaremba-Jaumann derivative
Subject RIV: BE - Theoretical Physics

The paper raises a question whether the logarithmic time derivative, expressed in specific coordinate system, is the Zaremba-Jaumann time derivative, and if not why. In fact, it has been already proved that the Z-J derivative represents the geometrically consistent linearization of tensor fields along deformation process in terms of the covariant derivative in the space of right Cauchy-Green deformation tensors C.

Příspěvek staví otázku, zda logaritmická časová derivace vyjádřená ve specifickém souřadnicovém systému není vlastně jen Zarembovou-Jaumannovou časovou derivací, a když ne tak proč.
Permanent Link: http://hdl.handle.net/11104/0172226