Features of SH-Wave Propagation in a Bimorphic Piezoelectric/Piezomagnetic Plate Made of Functionally Graded Materials

Tatyana I. Belyankova, Elena I. Vorovich, Valery V. Kalinchuk

Author details

Tatyana I. Belyankova
Federal Research Centre the Southern Scientific Centre of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation
Elena I. Vorovich
Don State Technical University, Rostov-on-Don, Russian Federation
Valery V. Kalinchuk
Federal Research Centre the Southern Scientific Centre of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation

https://doi.org/10.15593/perm.mech/2025.2.02

Propagation of shear horizontally polarized surface acoustic waves (SH-SAW) in a composite magnetoelectroelastic plate of inhomogeneous piezoelectric and piezomagnetic layers are studied in a quasi-static approximation. To simulate inhomogeneity of the layers, a two-component model of functionally gradient materials with properties depending on thickness is used (ranging from parameters of the base material to the parameters of the inclusion material). PZT-5H and CoFe2O4 materials are used as a bases of the piezoelectric and piezomagnetic layers of the plate. The inclu- sions of the piezoelectric layer are PZT-based ceramics with different elastic, piezoelectric, and dielectric properties. The inhomogeneity of the piezomagnetic layer models a solid solution of the layer materials in a narrow transition region at the interface. The propagation of SH-SAW in the plate is initiated by the action of a remote source of harmonic oscillations, the mode of which is assumed to be steady. The adhesion conditions are met at the interface of the inhomogeneous layers. On external surfaces freely contacting with vacuum, in the absence of mechanical stresses, four types of electrical and magnetic conditions are considered, depending on which four problems are studied. The solution is constructed in the space of Fourier images by reducing to a system of initial-boundary value Cauchy problems. Matrix representations of the dispersion equations of the problems convenient for the numerical implementation are obtained. By using an example of the problem with electrically short-circuited and magnetically open surface conditions, we investigated how inhomogeneity of the piezoelectric and piezomagnetic layers of the plate influences the be- havior of SH-SAW velocities in a wide frequency range. We determined the influence of localization of various types of inclusions of the piezoelectric layer on their behavior. Features of the behavior of SH-SAW velocities in a magnetoelectroelastic plate are described for different characteristics of inhomogeneity at the interface. The obtained results are given in dimensionless parameters and can be of particular interest in the development, design and optimization of new materials for mod- ern micro- and nanosized devices and devices using SH SAW.

Keywords

functionally graded piezoelectric materialfunctionally graded piezomagnetic materialmagnetoelectroelastic materialinclusionlocalization of inhomogeneitywave propagationsurface acoustic waves (SAW)shear horizontally polarized surface acoustic waves (SH-SAW)

ОСОБЕННОСТИ РАСПРОСТРАНЕНИЯ SH-ВОЛН В БИМОРФНОЙ ПЬЕЗОЭЛЕКТРИЧЕСКОЙ/ПЬЕЗОМАГНИТНОЙ ПЛАСТИНЕ ИЗ ФУНКЦИОНАЛЬНО ГРАДИЕНТНЫХ МАТЕРИАЛОВ

В квазистатическом приближении исследуются особенности распространения сдвиговых го- ризонтально поляризованных поверхностных акустических волн (SH-ПАВ) в составной магнито- электропургой пластине из неоднородных пьезоэлектрического и пьезомагнитного слоев. При моделировании неоднородности слоев использована двухкомпонентная модель функционально градиентных материалов с изменением свойств по толщине от параметров основного материала до параметров материала включения. В качестве основных материалов пьезоэлектриче- ского и пьезомагнитного слоев пластины использованы PZT-5H и CoFe2O4. Включения пьезоэлектриче- ского слоя представляют собой керамику на основе PZT с различными упругими, пьезоэлектриче- скими и диэлектрическими свойствами. Неоднородность пьезомагнитного слоя моделирует твер- дый раствор материалов слоев в узкой переходной области у границы раздела. Распространение SH-ПАВ в пластине инициировано действием удаленного источника гармонических колебаний, ре- жим которых полагается установившимся. На границе раздела неоднородных слоев выполнены условия сцепления. На внешних поверхностях, свободно контактирующих с вакуумом, в отсут- ствие механических напряжений рассмотрены четыре типа электрических и магнитных условий, в зависимости от которых анализируются четыре задачи. Решение строится в пространстве образов Фурье путем сведения к системе начально-краевых задач Коши. Получены удобные для числен- ной реализации матричные представления дисперсионных уравнений задач. На примере задачи с электрически закороченными и магнитно- открытыми поверхностными условиями исследовано влияние характера неоднородности пьезоэлектрического и пьезомагнитного слоев пластины на особенности поведения скоростей SH-ПАВ в широком диапазоне частот. Определены особенно- сти влияния локализации различных типов включений пьезоэлектрического слоя на их поведение. Установлены особенности поведения скоростей SH-ПАВ в магнитоэлектроупругой пластине при различных характеристиках неоднородности у границы раздела. Полученные результаты приве- дены в безразмерных параметрах и могут представлять особый интерес при разработке, проекти- ровании и оптимизации новых материалов для современных микро- и наноразмерных приборов и устройств на SH ПАВ.

Ключевые слова

функционально градиентный пьезоэлектрический материалфункционально градиентный пьезомагнитный материалмагнитоэлектроупругий материалвключениелокализация неоднородностираспространение волнповерхностные акустические волны (ПАВ)сдвиговые горизонтально поляризованные поверхностные акустические волны (SH-ПАВ)

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Article information

Published: 30 June 2025
Issue date: 30 June 2025
Issue: No. 2 (2025)