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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 5, Pages 127–142
(Mi pmtf1957)
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This article is cited in 1 scientific paper (total in 1 paper)
Invariant recording of elasticity theory equations
S. V. Selivanova Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract:
An invariant (with respect to rotations) formalization of equations of linear and nonlinear elasticity theory is proposed. An equation of state (in the form of a convex generating potential) for various crystallographic systems is written. An algebraic approach is used, which does not require any geometric constructions related to the analysis of symmetry in crystals.
Keywords:
elasticity theory, equation of state, crystals, presentation of a group of rotations, Clebsch–Gordan matrix, invariants.
Received: 30.07.2007
Citation:
S. V. Selivanova, “Invariant recording of elasticity theory equations”, Prikl. Mekh. Tekh. Fiz., 49:5 (2008), 127–142; J. Appl. Mech. Tech. Phys., 49:5 (2008), 809–822
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https://www.mathnet.ru/eng/pmtf1957 https://www.mathnet.ru/eng/pmtf/v49/i5/p127
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