This article is cited 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.

UDC: 517.9:539.3

Received: 30.07.2007

 English version: Journal of Applied Mechanics and Technical Physics, 2008, 49:5, 809–822

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