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Dynamic problems for linear-viscoelastic bodiesстатья
Информация о цитировании статьи получена из
Scopus
Дата последнего поиска статьи во внешних источниках: 29 ноября 2022 г.
- Авторы: Pshenichnov Sergey, Zhelyazov Todor
- Сборник: AIP Conference Proceedings
- Том: 2637
- Год издания: 2022
- Место издания: AIP Publishing USA
- Первая страница: 1
- Последняя страница: 9
- Номер статьи: 030006
- DOI: 10.1063/5.0118702
- Аннотация: A non-stationary dynamic problem of linear viscoelasticity is considered under the condition of a limitedperturbation propagation domain. The connection of such a problem with the problem of free oscillations of the body underconsideration is established. The structure of the set of eigenvalues of the spectral problem of free oscillations isinvestigated. The cases when the Poisson's ratio of the material is constant, as well as the case when it depends on time,are considered. A method for finding eigenvalues in the vicinity of the limit points of the spectral set is proposed. It isassumed that relaxation kernels are represented as a finite sum of exponents. For the case when the Poisson's ratio dependson time, as an example, the solution of the problem of the propagation of unsteady waves in the cross section of a linearviscoelastic cylinder is constructed. The resulting solution is valid over the entire time range and is convenient for numericalimplementation. An example of calculations performed on the basis of the constructed solution with specific source data isgiven.
- Добавил в систему: Пшеничнов Сергей Геннадиевич