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Objective time derivatives revised
- 1.0512068 - ÚTAM 2021 RIV CH eng J - Journal Article
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
Institutional support: RVO:68378297
Keywords : finite deformations * simple Lagrangian system * objective time derivative * deformation rate * stress rate * logarithmic rate * Daleckii–Krein formula
OECD category: Applied mechanics
Impact factor: 1.934, year: 2020
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0302277
Number of the records: 1