Rayleigh Waves in an Electroelastic Medium with Prestressed Inhomogeneous Coating

T. I. Belyankova, V. V. Kalinchuk
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Abstract

An approach to studying the influence of initial mechanical stresses and an electrostatic field on the structure and behavior of Rayleigh waves in piezoelectric media with nonhomogeneous coatings is proposed. This paper considers two-component coatings made of functionally graded piezoelectric material with high-speed (the speed of the shear-wave inclusion is greater than the speed of the shear wave in the substrate) or low-speed (the speed of the shear-wave inclusion is less than the speed of the shear wave in the substrate) inclusions. The initially deformed state of the coating is induced by the separate or combined action of the initial mechanical stresses and external electrostatic field. The influence of the type of non-homogeneity and the nature of the initial mechanical stresses in the presence or absence of an initial electrostatic field on the features of Rayleigh wave propagation for problems with an electrically open or shorted surface is studied. It is established that the presence of a low-intensity initial electrostatic field only slightly affects the action of the initial mechanical stresses depending on its direction. The presence of a high-intensity electrostatic field leads to additional deformation of the material, significant changes in the speeds of the SAW modes, and substantial changes in the structure of the surface-wave field. The obtained results are presented in dimensionless parameters and may be of practical interest in the development, design, and optimization of new materials for micro- and nanoscale devices and devices on Rayleigh surface acoustic waves with high performance characteristics.

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带有预应力非均质涂层的电弹性介质中的瑞利波
摘要 本文提出了一种研究初始机械应力和静电场对具有非均质涂层的压电介质中瑞利波的结构和行为的影响的方法。本文考虑了由功能分级压电材料制成的具有高速(剪切波夹杂物的速度大于基体中剪切波的速度)或低速(剪切波夹杂物的速度小于基体中剪切波的速度)夹杂物的双组分涂层。涂层的初始变形状态是由初始机械应力和外部静电场的单独或联合作用引起的。研究了在存在或不存在初始静电场的情况下,非均质性的类型和初始机械应力的性质对具有电开路或短路表面问题的瑞利波传播特征的影响。结果表明,低强度初始静电场的存在只会根据其方向对初始机械应力的作用产生轻微影响。而高强度静电场的存在则会导致材料发生额外变形、声表面波模式的速度发生显著变化以及表面波场结构发生重大变化。所得结果以无量纲参数表示,可能对开发、设计和优化微米和纳米级设备的新材料以及具有高性能特征的瑞利表面声波设备具有实际意义。
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来源期刊
CiteScore
0.70
自引率
50.00%
发文量
44
期刊介绍: Vestnik St. Petersburg University, Mathematics  is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.
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Solution of the Local-Boundary-Value Problem of Control for a Nonlinear Stationary System Taking into Account Computer System Verification On the Approximation of the Attraction Field of a Rigid Body by the Attraction Field of Four Material Points of the Same Mass Rigid-Body Dynamics from the Euler Equations to the Attitude Control of Spacecraft in the Works of Scientists from St. Petersburg State University. Part 2 Regression Models for Calculating State-to-State Coefficients of the Rate of Vibrational Energy Exchanges Astronomical Research at the Mathematics Faculty of St. Petersburg University, I
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