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Differential operators associated with the equations of motion and nondissipative heat conduction in the Green-Naghdi theory of thermoelasticityстатья Исследовательская статья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 4 января 2018 г.
- Авторы: Lychev S.A., Manzhirov A.V.
- Журнал: Journal of Physics: Conference Series
- Том: 181
- Номер: 1
- Год издания: 2009
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- Первая страница: 012096
- DOI: 10.1088/1742-6596/181/1/012096
- Аннотация: We consider a wave (hyperbolic) heat conduction theory of the Green-Naghdi type. In the framework of the continual approach, such a theory permits describing low-temperature phenomena of quantum nature (for example, the second sound effect) that are not within reach of the classical parabolic thermoelasticity. At low temperatures, the medium heat conductivity experiences a substantial increase, which should be reckoned within the design and analysis of cryogenic devices. This change in heat conduction properties results from the wave character of heat propagation, which cannot be taken into account in classical heat conductivity models of the diffusion type but can be described by hyperbolic models of the Green-Naghdi type. That is why considerable attention has been paid to the development of hyperbolic heat conduction models. The present paper deals with analytic solution methods for the corresponding nonself-adjoint initial-boundary value problems.
- Добавил в систему: Левитин Александр Леонидович