Počet záznamů: 1
Objective time derivatives revised
- 1.0512068 - ÚTAM 2021 RIV CH eng J - Článek v odborném periodiku
Fiala, Zdeněk
Objective time derivatives revised.
Zeitschrift für angewandte Mathematik und Physik. Roč. 71, č. 1 (2020), č. článku 4. ISSN 0044-2275. E-ISSN 1420-9039
Institucionální podpora: RVO:68378297
Klíčová slova: finite deformations * simple Lagrangian system * objective time derivative * deformation rate * stress rate * logarithmic rate * Daleckii–Krein formula
Obor OECD: Applied mechanics
Impakt faktor: 1.934, rok: 2020
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s00033-019-1227-7
We propose a constructive introduction of the objective time derivatives based on the formulation of solid mechanics as a simple Lagrangian system. This enables to distinguish between deformation rates, which are in principle Lie derivatives, and stress rates, which are actually covariant derivatives along a curve representing a deformation process. Besides, the role of Daleckii–Krein formula in understanding the theory with generalized strains is highlighted, and a special attention will be paid to the logarithmic time derivative.
Trvalý link: http://hdl.handle.net/11104/0302277
Počet záznamů: 1