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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 5, Pages 134–137
(Mi pmtf2082)
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This article is cited in 5 scientific papers (total in 5 papers)
Functional relation between two symmetric second-rank tensors
N. I. Ostrosablin Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Abstract:
The functional relationship between two symmetric second-rank tensors is considered. A new interpretation of the components of the tensors as projections onto an orthogonal tensor basis is given. It is shown that the constitutive relations can be written in the form of six functions each of which depends on one variable.
Keywords:
symmetric tensors, tensor basis, orthogonal matrices, constitutive relations.
Received: 26.10.2006
Citation:
N. I. Ostrosablin, “Functional relation between two symmetric second-rank tensors”, Prikl. Mekh. Tekh. Fiz., 48:5 (2007), 134–137; J. Appl. Mech. Tech. Phys., 48:5 (2007), 734–736
Linking options:
https://www.mathnet.ru/eng/pmtf2082 https://www.mathnet.ru/eng/pmtf/v48/i5/p134
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