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Presentation of the General Solution of Three-Dimensional Dynamic Equations of a Transversely Isotropic Thermoelastic Medium Научная публикация

Журнал Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944
Вых. Данные Год: 2019, Том: 60, Номер: 2, Страницы: 224-233 Страниц : 10 DOI: 10.1134/s0021894419020044
Ключевые слова Carrier–Gassmann condition; general solutions; plane waves; thermal conductivity; thermoelasticity; transverse isotropy
Авторы Annin B.D. 1,2 , Ostrosablin N.I. 1
Организации
1 Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
2 Novosibirsk State University

Реферат: A presentation of the general solution of the equations of dynamics of a transversely isotropic thermoelastic medium is obtained in the case where the Carrier–Gassmann condition is satisfied with due allowance for the additional expression relating the temperature stress coefficients to the elasticity moduli. The displacements are expressed via three resolving potentials satisfying three inhomogeneous quasi-wave equations. The potentials are related by the heat conduction equation. A presentation of the solution with the use of the stress and displacement functions is provided. Two displacement functions are determined by solving the system of two homogeneous equations, which do not involve the temperature. After these displacement functions are determined, the temperature can be found from the third equation. The resultant presentation of the solution also yields the solution of the static equations of thermoelasticity.
Библиографическая ссылка: Annin B.D. , Ostrosablin N.I.
Presentation of the General Solution of Three-Dimensional Dynamic Equations of a Transversely Isotropic Thermoelastic Medium
Journal of Applied Mechanics and Technical Physics. 2019. V.60. N2. P.224-233. DOI: 10.1134/s0021894419020044 WOS Scopus РИНЦ OpenAlex
Оригинальная: Аннин Б.Д. , Остросаблин Н.И.
ПРЕДСТАВЛЕНИЕ ОБЩЕГО РЕШЕНИЯ ТРЕХМЕРНЫХ ДИНАМИЧЕСКИХ УРАВНЕНИЙ ТРАНСВЕРСАЛЬНО-ИЗОТРОПНОЙ ТЕРМОУПРУГОЙ СРЕДЫ
Прикладная механика и техническая физика. 2019. Т.60. №2. С.47-57. DOI: 10.15372/pmtf20190204 РИНЦ OpenAlex
Идентификаторы БД:
Web of science: WOS:000470672500004
Scopus: 2-s2.0-85066477996
РИНЦ: 38234560
OpenAlex: W2948676478
Цитирование в БД: Пока нет цитирований
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