 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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