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Dal'nevostochnyi Matematicheskii Zhurnal, 2011, Volume 11, Number 2, Pages 155–180
(Mi dvmg219)
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This article is cited in 3 scientific papers (total in 3 papers)
Lagrangian formulation of Hencky's hyperelastic material
S. N. Korobeinikova, A. A. Oleinikovb a M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
b Komsomolsk-on-Amur State Technical University
Abstract:
New representation of the fourth order elasticity tensor for Hencky's hyperelastic isotropic material is obtained. Compactness of this representation is followed by use of eigenprojections of the right Cauchy – Green strain tensor. It is shown that the obtained elasticity tensor possesses both minor symmetries, and the major symmetry.
Key words:
isotropic hyperelasticity, Hencky's material, elasticity tensor, eigenprojections.
Received: 04.07.2011
Citation:
S. N. Korobeinikov, A. A. Oleinikov, “Lagrangian formulation of Hencky's hyperelastic material”, Dal'nevost. Mat. Zh., 11:2 (2011), 155–180
Linking options:
https://www.mathnet.ru/eng/dvmg219 https://www.mathnet.ru/eng/dvmg/v11/i2/p155
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