Antiplane Motions Of Piezoceramics And Acoustic Wave Devices

by Jiashi Yang

Overview

This book focuses on dynamic antiplane problems of piezoelectric ceramics. It presents relatively simple theoretical solutions to many such problems, and attempts to use these solutions to demonstrate the operation and design of several acoustic wave devices. Some of the solutions are able to show the underlying physics clearly without the need for numerical computation. The problems treated include the propagation of plate waves, surface waves, interface waves, Love waves, gap waves, and vibrations of finite bodies of various shapes with applications in resonators, mass sensors, fluid sensors, interface sensors, phononic crystals, piezoelectric generators or power harvesters, piezoelectric transformers, power or signal transmission through an elastic wall, and acoustic wave excitation and detection for nondestructive evaluation.

Product Details

ISBN-13:	9789814291446
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	04/01/2010
Pages:	392
Product dimensions:	6.10(w) x 9.10(h) x 1.00(d)

Table of Contents

Preface v

Chapter 1 Basic Equations 1

1.1 Equations of Linear Piezoelectricity 1

1.2 Cylindrical Coordinates 5

1.3 Matrix Notation 5

1.4 Constitutive Relations of Polarized Ceramics 7

1.5 Antiplane Problems 10

1.6 Bleustein's Formulation 11

1.7 A Static General Solution in Polar Coordinates 12

1.8 A Time-harmonic General Solution in Polar Coordinates 13

1.9 Boundary Integral Equation Formulation 15

Chapter 2 Static Problems 17

2.1 A Surface Distribution of Electric Potential 17

2.2 Shear of a Plate 18

2.3 Capacitance of a Plate 21

2.4 Capacitance of a Circular Cylindrical Shell 23

2.5 A Circular Hole under Axisymmetric Loads 25

2.6 A Circular Hole under Shear 27

2.7 A Circular Cylinder in an Electric Field 29

2.8 A Screw Dislocation 31

2.9 A Crack 33

Chapter 3 Simple Dynamic Problems 35

3.1 Plane Wave Propagation 35

3.2 Reflection at a Boundary 36

3.3 Reflection and Refraction at an Interface 38

3.4 Scattering by a Circular Cylinder 41

3.5 A Moving Dislocation 42

3.6 A Moving Crack 44

Chapter 4 Surface and Interface Waves 47

4.1 Surface Waves over a Half-space 47

4.2 A Half-space with a Thin Film 51

4.3 An FGM Half-space 54

4.4 A Half-space in Contact with a Fluid 60

4.5 Interface Waves 64

4.6 An Imperfectly Bonded Interface 67

4.7 An Interface between Two FGM Half-spaces 72

4.8 Gap Waves between Two Half-spaces 79

4.9 Waves over a Circular Cylindrical Surface 85

Chapter 5 Waves in Plates 89

5.1 An Electroded Plate 89

5.2 An Unelectroded Plate 92

5.3 A Plate with Unattached Electrodes 96

5.4 A Plate with Thin Films 100

5.5 Effect of Film Stiffness 102

5.6 A Plate in Contact with Fluids 108

5.7 A Plate with Fluids under Unattached Electrodes 112

5.8 Waves through a Joint between Two Semi-infinite Plates 115

5.9 Trapped Modes in an Inhomogeneous Plate 121

5.10 A Partially Electroded Plate 127

5.11 Multi-sectioned Plates: Phononic Crystals 130

Chapter 6 Waves in a Layer on a Substrate 139

6.1 A Metal Plate on a Ceramic Half-space 139

6.2 A Dielectric Plate on a Ceramic Half-space 142

6.3 An FGM Ceramic Plate on an Elastic Half-space 143

6.4 A Plate Imperfectly Bonded to a Half-space 152

6.5 A Plate Imperfectly Bonded to Two Half-spaces 158

6.6 Gap Waves between a Plate and a Half-space 171

6.7 A Plate between a Half-Space and a Fluid 175

Chapter 7 Free Vibrations in Cartesian Coordinates 179

7.1 Thickness-shear in a Plate 179

7.2 Thickness-shear in a Plate with Unattached Electrodes 183

7.3 Thickness-shear in a Plate with Thin Films 187

7.4 Thickness-shear in a Plate with Imperfectly Bonded Films 190

7.5 Thickness-shear in a Layered Plate with an Imperfect Interface 194

7.6 Edge Modes in a Semi-infinite Plate 199

7.7 Mass Sensitivity of Edge Modes 201

7.8 Modes in a Rectangular Plate 204

7.9 A Rectangular Plate with Thin Films 208

Chapter 8 Free Vibrations in Polar Coordinates 217

8.1 Thickness-shear in a Circular Cylinder 217

8.2 A Circular Cylinder with Unattached Electrodes 221

8.3 A Wedge 225

8.4 A Circular Cylindrical Panel 229

8.5 An Elliptical Cylinder 236

Chapter 9 Forced Vibrations in Cartesian Coordinates 239

9.1 Thickness-shear in a Plate Driven by a Voltage 239

9.2 Thickness-shear in a Plate Driven by Traction: A Generator 241

9.3 Thickness-twist in a Plate Driven by Traction: A Generator 245

9.4 A Plate Transformer 253

9.5 A Plate with Nonuniform Electrodes 263

9.6 A Multilayered Plate 269

9.7 Power Transmission through an Elastic Plate 275

9.8 A Transducer on an Elastic Plate 282

9.9 Two Transducers on an Elastic Plate 289

9.10 A Transducer on an Elastic Half-space 297

Chapter 10 Forced Vibrations in Polar Coordinates 303

10.1 A Shell Generator 303

10.2 A Shell Transformer 307

10.3 Power Transmission through an Elastic Shell 313

10.4 A Circular Cylindrical Panel 321

10.5 Power Transmission with Finite Transducers 327

10.6 A Transducer on an Elastic Shell 339

10.7 Two Transducers on an Elastic Shell 343

10.8 A Circular Cylinder with Unattached Electrodes 351

10.9 A Multilayered Shell 355

References 365

Appendix 1 Notation 371

Appendix 2 Material Constants 373

Index 379