Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2009-2pp.237-243

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Ye.I. Shifrin, "The relation between invariant integrals of the linear isotropic theory of elasticity and integrals defined by the duality principle," J. Appl. Math. Mech. 73 (2), 237-243 (2009)
Year 2009 Volume 73 Issue 2 Pages 237-243
Title The relation between invariant integrals of the linear isotropic theory of elasticity and integrals defined by the duality principle
Author(s) Ye.I. Shifrin (Moscow, Russia, shifrin@ipmnet.ru)
Abstract Invariant integrals of the linear isotropic theory of elasticity, determined by a certain specified elastic field, are considered, and also invariant integrals generated by the interaction of the specified field with an arbitrary secondary field. For all types of invariant integral, generated by the interaction of the specified elastic field and an arbitrary secondary elastic field, transformations of the secondary fields are found for which the invariant integrals considered turn out to be equal to the RG-integrals, determined by the duality principle, of the specified elastic field and the transformed secondary elastic field. The invariant J-, L- and M-integrals themselves are also expressed in terms of the RG-integrals of the specified elastic field and its corresponding transformation.
Received 11 March 2008
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