КФУ. Карточка публикации. Solution of Periodic Boundary-Value Problems of the Spatial Theory of Elasticity in the Vector Form

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

Форма представления

Статьи в российских журналах и сборниках

Год публикации

2019

Язык

английский

Авторы, сотрудники КФУ

Осипов Евгений Александрович, автор

Библиографическое описание на языке оригинала

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

Аннотация

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.

Ключевые слова

periodic system, theory of elasticity, Floquet wave

Название журнала

Journal of Mathematical Sciences

URL

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

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https://repository.kpfu.ru/?p_id=205923

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Осипов Евгений Александрович	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/?p_id=205923	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	Статьи в российских журналах и сборниках	ru_RU