This book deals concisely and coherently with various issues related to electroacoustic waves in piezoelectric layered composites.Starting with the basic linear equations and relations of electromagnet elasticity of homogeneous anisotropic piezoelectric media, the book considers the conditions for possible field or partial conjugation of physical and mechanical fields at the junction of two homogeneous media with geometrically homogeneous surfaces. The variety of electromechanical boundary conditions and the separation of plane and anti-plane fields of elastic deformation in homogeneous piezoelectric crystals are discussed.Then, the statements of the electroacoustic problem in piezo textures are studied and a layered piecewise-homogeneous piezoelectric waveguide is introduced, with non-acoustic contact between different piezoelectric layers.Non-acoustic contact between different piezoelectric layers can lead to the propagation of a hybrid of electroactive waves of plane and anti-plane elastic deformations.In the last part of the book, the problem of controlling electroacoustic waves in a waveguide is formulated. A method for solving problems of control of electroacoustic waves by non-contact surface action is proposed.
Author(s): Ara Sergey Avetisyan
Series: Advanced Structured Materials, 182
Publisher: Springer
Year: 2023
Language: English
Pages: 222
City: Cham
Preface
Acknowledgments
Contents
1 Introduction
References
2 Mathematical Boundary Value Problem of Linear Electro-Elasticity
2.1 Basic Material Relations of Linear Magneto-Thermo-Electro-Elasticity for Homogeneous Anisotropic Media
2.2 Material Relations and Quasi-Static Equations for Homogeneous Piezoelectric Media
2.3 Rules for Setting Crystals According to Syngonies and Choosing Crystallographic Axes in Textures
2.4 Conjugation of Physical and Mechanical Fields at the Junction of Two Homogeneous Piezoelectric Media
2.5 Variety of Boundary Conditions in Mathematical Boundary Value Problem in Electroelasticity
References
3 Coupled Electroactive Stress–Strain States in Piezoelectric Textures
3.1 Two-Dimensional Problems of Electroacoustics in Homogeneous Piezoelectric Crystals
3.2 Necessary and Sufficient Conditions for the Separation of Electroactive Elastic States in a Piezoelectric Medium
3.3 Electroactive Plane Stress–Strain State in Homogeneous Piezoelectric Textures
3.3.1 Electroactive Plane Deformation with Accompanying Oscillations of the Plane Electric Field in the Sagittal Plane x1 0x2
3.3.2 Electroactive Plane Deformation with Accompanying Oscillations of the Plane Electric Field in the Sagittal Plane x2 0x3
3.3.3 Electroactive Plane Deformation with Accompanying Oscillations of the Plane Electric Field in the Sagittal Plane x3 0x1
3.4 Electroactive Anti-plane Stress–Strain State in Homogeneous Piezoelectric Textures
3.4.1 Electroactive Anti-plane Deformation with Accompanying Oscillations of the Plane Electric Field in the Sagittal Plane x1 0x2
3.4.2 Electroactive Anti-plane Deformation with Accompanying Oscillations of the Plane Electric Field in the Sagittal Plane x2 0x3
3.4.3 Electroactive Anti-plane Deformation with Accompanying Oscillations of the Plane Electric Field in the Sagittal Plane x3 0x1
3.5 Discussion
References
4 2D Multicomponent Electroacoustic Waves in Piezo Crystalline Layers
4.1 Types of 2D Multicomponent Electroacoustic Waves and Variety of Boundary Conditions for Them
4.2 Electroacoustic Normal Waves in Piezoelectric Layer with Mechanically Rigidly Clamped and Electrically Closed Surfaces (the First Kind Boundary Conditions)
4.3 Near-Surface Localization of the Energy of an Electroacoustic SH Wave with a Shielded Piezoelectric Surface (the Mixed Boundary Conditions)
4.4 The Electroelastic Rayleigh Waves in the Waveguide with an Electrically Closed or Open Surfaces (the Mixed Boundary Conditions)
References
5 Formation of a Hybrid of Electroacoustic Waves in Piezoelectric Layered Composites
5.1 Hybridization of Electroacoustic Waves upon Reflection and Refraction on the Surface of Non-acoustic Contact Between Piezoelectrics
5.2 Propagation of a Hybrid of Electroactive Heterogeneous Elastic Waves, Along Non-acoustic Contact of Piezoelectric Layers
5.3 Propagation of Hybrid Electroelastic Waves in Transversally Inhomogeneous Periodic Piezoelectric Structure
5.4 Multicomponent Electroactive Waves in a Piezoelectric Medium with a System of Infinite Perpendicular Cracks
5.5 Propagation of a Hybrid of Dissimilar Electroacoustic Waves in a Composite Piezoelectric Waveguide
References
6 Controllability of Electroacoustic Wave Process
6.1 On Control of Propagation of Electroacoustic Waves in a Homogeneous Piezoelectric Waveguide. Some Problem Statements
6.1.1 One-Dimensional Shear Oscillations Over the Thickness of the Piezoelectric Layer
6.1.2 Contactless Surface Control of the Electroacoustic Shear Wave Energy Localization
6.2 Variety of Surface Actions and Surface Control in the Problems of Shaping and Propagation of Electroacoustic Waves in a Piezoelectric Waveguide
6.3 Surface Control of Shaping and Propagation of a Three-Component Electroacoustic Wave in a Piezoelectric Waveguide
6.4 Solution of the Control Problem of Electroacoustic Wave Propagation, in the Case of Non-contact Action. Fourier Series Approach
6.5 Contactless Control of Electroacoustic Wave Propagation in a Piezoelectric Waveguide with Edge Actions
References
