Cover image for Antiplane motions of piezoceramics and acoustic wave devices
Title:
Antiplane motions of piezoceramics and acoustic wave devices
Personal Author:
Publication Information:
Singapore ; Hackensack, NJ : World Scientific, c2010
Physical Description:
x, 380 p. : ill. ; 24 cm.
ISBN:
9789814291446

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30000010267061 TK7871.15.C4 Y36 2010 Open Access Book Book
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Summary

Summary

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.


Table of Contents

Prefacep. v
Chapter 1 Basic Equationsp. 1
1.1 Equations of Linear Piezoelectricityp. 1
1.2 Cylindrical Coordinatesp. 5
1.3 Matrix Notationp. 5
1.4 Constitutive Relations of Polarized Ceramicsp. 7
1.5 Antiplane Problemsp. 10
1.6 Bleustein's Formulationp. 11
1.7 A Static General Solution in Polar Coordinatesp. 12
1.8 A Time-harmonic General Solution in Polar Coordinatesp. 13
1.9 Boundary Integral Equation Formulationp. 15
Chapter 2 Static Problemsp. 17
2.1 A Surface Distribution of Electric Potentialp. 17
2.2 Shear of a Platep. 18
2.3 Capacitance of a Platep. 21
2.4 Capacitance of a Circular Cylindrical Shellp. 23
2.5 A Circular Hole under Axisymmetric Loadsp. 25
2.6 A Circular Hole under Shearp. 27
2.7 A Circular Cylinder in an Electric Fieldp. 29
2.8 A Screw Dislocationp. 31
2.9 A Crackp. 33
Chapter 3 Simple Dynamic Problemsp. 35
3.1 Plane Wave Propagationp. 35
3.2 Reflection at a Boundaryp. 36
3.3 Reflection and Refraction at an Interfacep. 38
3.4 Scattering by a Circular Cylinderp. 41
3.5 A Moving Dislocationp. 42
3.6 A Moving Crackp. 44
Chapter 4 Surface and Interface Wavesp. 47
4.1 Surface Waves over a Half-spacep. 47
4.2 A Half-space with a Thin Filmp. 51
4.3 An FGM Half-spacep. 54
4.4 A Half-space in Contact with a Fluidp. 60
4.5 Interface Wavesp. 64
4.6 An Imperfectly Bonded Interfacep. 67
4.7 An Interface between Two FGM Half-spacesp. 72
4.8 Gap Waves between Two Half-spacesp. 79
4.9 Waves over a Circular Cylindrical Surfacep. 85
Chapter 5 Waves in Platesp. 89
5.1 An Electroded Platep. 89
5.2 An Unelectroded Platep. 92
5.3 A Plate with Unattached Electrodesp. 96
5.4 A Plate with Thin Filmsp. 100
5.5 Effect of Film Stiffnessp. 102
5.6 A Plate in Contact with Fluidsp. 108
5.7 A Plate with Fluids under Unattached Electrodesp. 112
5.8 Waves through a Joint between Two Semi-infinite Platesp. 115
5.9 Trapped Modes in an Inhomogeneous Platep. 121
5.10 A Partially Electroded Platep. 127
5.11 Multi-sectioned Plates: Phononic Crystalsp. 130
Chapter 6 Waves in a Layer on a Substratep. 139
6.1 A Metal Plate on a Ceramic Half-spacep. 139
6.2 A Dielectric Plate on a Ceramic Half-spacep. 142
6.3 An FGM Ceramic Plate on an Elastic Half-spacep. 143
6.4 A Plate Imperfectly Bonded to a Half-spacep. 152
6.5 A Plate Imperfectly Bonded to Two Half-spacesp. 158
6.6 Gap Waves between a Plate and a Half-spacep. 171
6.7 A Plate between a Half-Space and a Fluidp. 175
Chapter 7 Free Vibrations in Cartesian Coordinatesp. 179
7.1 Thickness-shear in a Platep. 179
7.2 Thickness-shear in a Plate with Unattached Electrodesp. 183
7.3 Thickness-shear in a Plate with Thin Filmsp. 187
7.4 Thickness-shear in a Plate with Imperfectly Bonded Filmsp. 190
7.5 Thickness-shear in a Layered Plate with an Imperfect Interfacep. 194
7.6 Edge Modes in a Semi-infinite Platep. 199
7.7 Mass Sensitivity of Edge Modesp. 201
7.8 Modes in a Rectangular Platep. 204
7.9 A Rectangular Plate with Thin Filmsp. 208
Chapter 8 Free Vibrations in Polar Coordinatesp. 217
8.1 Thickness-shear in a Circular Cylinderp. 217
8.2 A Circular Cylinder with Unattached Electrodesp. 221
8.3 A Wedgep. 225
8.4 A Circular Cylindrical Panelp. 229
8.5 An Elliptical Cylinderp. 236
Chapter 9 Forced Vibrations in Cartesian Coordinatesp. 239
9.1 Thickness-shear in a Plate Driven by a Voltagep. 239
9.2 Thickness-shear in a Plate Driven by Traction: A Generatorp. 241
9.3 Thickness-twist in a Plate Driven by Traction: A Generatorp. 245
9.4 A Plate Transformerp. 253
9.5 A Plate with Nonuniform Electrodesp. 263
9.6 A Multilayered Platep. 269
9.7 Power Transmission through an Elastic Platep. 275
9.8 A Transducer on an Elastic Platep. 282
9.9 Two Transducers on an Elastic Platep. 289
9.10 A Transducer on an Elastic Half-spacep. 297
Chapter 10 Forced Vibrations in Polar Coordinatesp. 303
10.1 A Shell Generatorp. 303
10.2 A Shell Transformerp. 307
10.3 Power Transmission through an Elastic Shellp. 313
10.4 A Circular Cylindrical Panelp. 321
10.5 Power Transmission with Finite Transducersp. 327
10.6 A Transducer on an Elastic Shellp. 339
10.7 Two Transducers on an Elastic Shellp. 343
10.8 A Circular Cylinder with Unattached Electrodesp. 351
10.9 A Multilayered Shellp. 355
Referencesp. 365
Appendix 1 Notationp. 371
Appendix 2 Material Constantsp. 373
Indexp. 379