|
ИСТИНА |
Войти в систему Регистрация |
ИСТИНА ИНХС РАН |
||
On the Dispersion Relations for the Anti-Plane Surface Wave in the Second Gradient Electroelasticityстатья
Статья опубликована в журнале из списка RSCI Web of Science
Статья опубликована в журнале из перечня ВАКСтатья опубликована в журнале из списка Web of Science и/или Scopus
- Авторы: Solyaev Y., Ustenko A.
- Журнал: Lobachevskii Journal of Mathematics
- Том: 42
- Номер: 8
- Год издания: 2021
- Издательство: Kazanskii Gosudarstvennyi Universitet/Kazan State University
- Местоположение издательства: Russian Federation
- Первая страница: 1935
- Последняя страница: 1943
- DOI: 10.1134/S1995080221080308
- Аннотация: In this work we investigate the influence of the material’s internal characteristic length parameters on the dispersion relations for the surface shear waves in the piezoelectric materials. We derive semi-analytical solution for the dynamic anti-plane problem of the second gradient electroelasticity taking into account the elastic, electric field and inertia gradient effects. We found that in opposite to the known solutions of the second gradient elasticity, in the presented coupled field theory we can obtain a solution for the second (‘‘optical’’) branch of the dispersion relations. However, this solution should be abandoned since it has non-decaying behavior with purely imaginary attenuation coefficient. Also it is shown that gradient piezoelectric modulus that defines the high order piezoelectric effect, i.e. the coupling between the strain gradients and the electric field gradients, can be insignificant in the assessments on the spatial dispersion effects for the electroacoustic surface waves.
- Добавил в систему: Соляев Юрий Олегович