Polish Scientific Publishers IFTR
Od Vol. 43, issue 1 (1991) wyd.: Polish Scientific Publishers = PWN ; Od Vol. 50, issue 4 (1998) wyd.: Agencja Reklamowo-Wydawnicza A. Grzegorczyk ; Od Vol. 53, issue 4/5 (2001) wyd: PAS. IFTR ; [1], 489-698 s. ; 24 cm
The geometric structure of the stress and strain tensors arising in continuum mechanics is investigated. All tensors are classified into two families, each consists of two subgroups regarded as physically equivalent since they are isometric. Special attention is focussed on the Cauchy stress tensor and it is proved that, corresponding to it, no dual strain measure exists. Some new stress tensors are formulated and the physical meaning of the stress tensor dual to the Almansi strain tensor is made apparent by employing a new decomposition of the Cauchy stress tensor with respect to a Lagrangian basis. It is shown that push- forward/pull-back under the deformation gradient applied to two work conjugate stress and strain tensors do not result in further dual tensors. The rotation field is incorporated as an independent variable by considering simple materials as constrained Cosserat continua. By the geometric structure of the involved tensors, it is claimed that only the Lie derivative with respect to the flow generated by the rotation group (Green-Naghdi objective rate) can be considered as occurring naturally in solid mechanics and preserving the physical equivalence in rate form.
IPPT PAN, sygn. P.262 ; kliknij tutaj, żeby przejść
Licencja Creative Commons Uznanie autorstwa 4.0
Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Instytut Podstawowych Problemów Techniki Polskiej Akademii Nauk
Biblioteka Instytutu Podstawowych Problemów Techniki PAN
2 paź 2020
12 lut 2019
961
https://rcin.org.pl./publication/88856
Fong, J.T. Simmons, J.A.
Datta, S.K.
Gambin, W. Rychlewski, J.
Berthet, D. Hayot, J.C. Salençon, J.