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On stability of heavy stratified systems formed by elastic materialsтезисы доклада
- Авторы: Ryzhak E.I., Sinyukhina S.V.
- Сборник: XLVIII International Conference “Advanced Problems in Mechanics”. APM ONLINE 2020. BOOK OF ABSTRACTS. PART 1
- Тезисы
- Год издания: 2020
- Место издания: Polytech St. Petersburg, Russia
- Первая страница: 56
- Последняя страница: 56
- Аннотация: The stability of continuously stratified elastic systems in the field of gravity is investigated analytically with regard for shear stiffness and compressibility of constituting materials. An unperturbed stress state is supposed to be hydrostatic. The medium occupies a bounded subdomain of a horizontal plane layer, which reaches upper and lower boundary planes of the layer. The upper part of the domain boundary is free, some special traction boundary condition is posed on the lower part of the boundary, whereas the lateral part of the boundary (lying inside the layer) is fixed. There are obtained both a sufficient condition for stability and a sufficient condition for instability of considered elastic systems. The stabilizing effect of shear stiffness on stability is revealed. There are analyzed qualitatively the conditions for instability that is caused by decrease in shear stiffness (in the course of some physical processes) for set distributions of density and bulk modulus. Basing on the obtained analytical results, a method for numerical assessment of stability for the systems with set distributions of density and elastic parameters over depth was developed and implemented by a computer program. In the application to geophysics, there were carried out the calculations for some real geomasses using available data on the depth distribution of density and elastic parameters of geomaterials. The results of calculations illustrate the dependence of stability of the systems on values of elastic moduli (both shear and bulk ones).
- Добавил в систему: Синюхина Светлана Владимировна
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | book_of_abstracts_2020_small.pdf | book_of_abstracts_2020_small.pdf | 4,8 МБ | 19 февраля 2021 [evgenr] |