KFU. Card publication. Solution of Periodic Boundary-Value Problems of the Spatial Theory of Elasticity in the Vector Form

KAZAN
FEDERAL UNIVERSITY

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SOLUTION OF PERIODIC BOUNDARY-VALUE PROBLEMS OF THE SPATIAL THEORY OF ELASTICITY IN THE VECTOR FORM

Form of presentation

Articles in Russian journals and collections

Year of publication

2019

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Authors, employees of KFU

Osipov Evgeniy Aleksandrovich, author

Bibliographic description in the original language

E. A. Osipov Solution of Periodic Boundary-Value Problems of the Spatial Theory of Elasticity in the Vector Form // Journal of Mathematical Sciences Vol.241, �3, September 2019/ Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 139, Differential Equations. Mathematical Physics

Annotation

We discuss boundary-value problems for the system of equations of the spatial theory of elasticity in the class of double-periodic functions and obtain a general solution of the system. We distinguish six types of elementary Floquet waves and examine their energy characteristics. We consider fundamental boundary-value problems in the half-space in the vector form. The diffraction problem for an elastic wave on a periodic system of defects in the vector form is reduced to the paired summator functional equation.

Keywords

periodic system, theory of elasticity, Floquet wave

The name of the journal

Journal of Mathematical Sciences

URL

https://link.springer.com/article/10.1007%2Fs10958-019-04425-4

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=205923&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Osipov Evgeniy Aleksandrovich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	E. A. Osipov Solution of Periodic Boundary-Value Problems of the Spatial Theory of Elasticity in the Vector Form // Journal of Mathematical Sciences Vol.241, �3, September 2019/ Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 139, Differential Equations. Mathematical Physics	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=205923&p_lang=2	ru_RU
dc.description.abstract	Journal of Mathematical Sciences	ru_RU
dc.description.abstract	We discuss boundary-value problems for the system of equations of the spatial theory of elasticity in the class of double-periodic functions and obtain a general solution of the system. We distinguish six types of elementary Floquet waves and examine their energy characteristics. We consider fundamental boundary-value problems in the half-space in the vector form. The diffraction problem for an elastic wave on a periodic system of defects in the vector form is reduced to the paired summator functional equation.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	periodic system	ru_RU
dc.subject	theory of elasticity	ru_RU
dc.subject	Floquet wave	ru_RU
dc.title	Solution of Periodic Boundary-Value Problems of the Spatial Theory of Elasticity in the Vector Form	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU