Electroacoustic Waves in Piezoelectric Layered Composites

ISBN-13: 9783031267307 / Angielski / Twarda / 2023 / 299 str.

Ara Sergey Avetisyan

Opis

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. 

Spis treści

1. Mathematical boundary value problem of linear electro elasticity

1.1 Basic material relations of linear magneto-termo-electro-elasticity for homogeneous anisotropic media

1.2 Material relations and quasi-static equations for homogeneous piezoelectric media

1.3 Rules for setting crystals according to syngonies and choosing crystallographic axes in textures

1.4 Conjugation of physical and mechanical fields at the junction of two homogeneous piezoelectric media

1.5 Variety of boundary conditions in mathematical boundary value problem in electro elasticity 

References of Chapter 1  

2. Coupled electroactive stress-strain states in piezoelectric textures    

2.1 Two-dimensional problems of electroacoustics in homogeneous piezoelectric crystals

2.2 Necessary and sufficient conditions for the separation of electroactive elastic states in a piezoelectric medium

2.3 Electroactive plane stress-strain state in homogeneous piezoelectric textures

2.4 Electroactive anti plane stress-strain state in homogeneous piezoelectric textures

2.5 Discussion

References of Chapter 2 

 

3 2D Multi-Component Electro Acoustic Waves in the Piezoelectric Layer. Localization of Wave Energy

3.1 Types of 2D Multicomponent Electroacoustic Waves and Variety of Boundary Conditions for Their

3.2 Electro Acoustic Normal Waves in Piezoelectric Layer with Mechanically Rigidly Clamped and Electrically Closed Surfaces (First Kind Boundary Conditions)

3․3 Near-Surface Localization of the Energy of an Electro Acoustic SH Wave with a Shielded Piezoelectric Surface. (the Mixed Boundary Conditions)

3.4 The electro elastic Rayleigh waves in the waveguide with an electrically closed or open surfaces (the Mixed Boundary Conditions)

References of Chapter 3 

4 Hybrid of normal electroacoustic waves in layered inhomogeneous piezoelectric waveguides. Formulation of some problem

4.1 Hybridization of electroacoustic waves upon reflection and refraction on the surface of a nonacoustic contact between piezoelectrics

4.2 Propagation of a hybrid of electroactive heterogeneous elastic waves, along a non-acoustic contact of piezoelectric layers

4.3 Propagation of Hybrid Electroelastic Waves in Transversally Inhomogeneous Periodic Piezoelectric Structure

4.4 Multicomponent electroactive waves in a piezoelectric medium with a system of infinite perpendicular cracks 

4.5 Propagation of a Hybrid of Dissimilar Electroacoustic Waves in a Composite Piezoelectric Waveguide   

References of Chapter 4  

5 Controllability of Electroacoustic Wave Process

5.1 On control of propagation of electroacoustic waves in a homogeneous piezoelectric waveguide. Some problem statements

5.2 Variety of surface actions and surface control in the problems of shaping and propagation of electroacoustic waves in a piezoelectric waveguide

5.3 Surface control of shaping and propagation of a three-component electroacoustic wave in a piezoelectric waveguide. Fourier series approach.

5.4 Control of wave energy localization in cells of a periodically inhomogeneous piezoelectric waveguide. Some wording of the problems Localization of the energy of electroacoustic waves

References of Chapter 5  

O autorze

Ara Sergey Avetisyan was born on September 14, 1958, in Talin, Republic of Armenia.

He was Candidate of physical and mathematical sciences (1986), Doctor of Physical and Mathematical Sciences (1998), Corresponding Member of National Academy of Sciences of Armenia (2006), Professor at Yerevan State University (2010), and Editor-in-Chief of Proceedings of National Academy of Sciences of Armenia «Mechanics» (2005-2017).