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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
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Searching... | 30000010267061 | TK7871.15.C4 Y36 2010 | Open Access Book | Book | Searching... |
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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
Preface | p. v |
Chapter 1 Basic Equations | p. 1 |
1.1 Equations of Linear Piezoelectricity | p. 1 |
1.2 Cylindrical Coordinates | p. 5 |
1.3 Matrix Notation | p. 5 |
1.4 Constitutive Relations of Polarized Ceramics | p. 7 |
1.5 Antiplane Problems | p. 10 |
1.6 Bleustein's Formulation | p. 11 |
1.7 A Static General Solution in Polar Coordinates | p. 12 |
1.8 A Time-harmonic General Solution in Polar Coordinates | p. 13 |
1.9 Boundary Integral Equation Formulation | p. 15 |
Chapter 2 Static Problems | p. 17 |
2.1 A Surface Distribution of Electric Potential | p. 17 |
2.2 Shear of a Plate | p. 18 |
2.3 Capacitance of a Plate | p. 21 |
2.4 Capacitance of a Circular Cylindrical Shell | p. 23 |
2.5 A Circular Hole under Axisymmetric Loads | p. 25 |
2.6 A Circular Hole under Shear | p. 27 |
2.7 A Circular Cylinder in an Electric Field | p. 29 |
2.8 A Screw Dislocation | p. 31 |
2.9 A Crack | p. 33 |
Chapter 3 Simple Dynamic Problems | p. 35 |
3.1 Plane Wave Propagation | p. 35 |
3.2 Reflection at a Boundary | p. 36 |
3.3 Reflection and Refraction at an Interface | p. 38 |
3.4 Scattering by a Circular Cylinder | p. 41 |
3.5 A Moving Dislocation | p. 42 |
3.6 A Moving Crack | p. 44 |
Chapter 4 Surface and Interface Waves | p. 47 |
4.1 Surface Waves over a Half-space | p. 47 |
4.2 A Half-space with a Thin Film | p. 51 |
4.3 An FGM Half-space | p. 54 |
4.4 A Half-space in Contact with a Fluid | p. 60 |
4.5 Interface Waves | p. 64 |
4.6 An Imperfectly Bonded Interface | p. 67 |
4.7 An Interface between Two FGM Half-spaces | p. 72 |
4.8 Gap Waves between Two Half-spaces | p. 79 |
4.9 Waves over a Circular Cylindrical Surface | p. 85 |
Chapter 5 Waves in Plates | p. 89 |
5.1 An Electroded Plate | p. 89 |
5.2 An Unelectroded Plate | p. 92 |
5.3 A Plate with Unattached Electrodes | p. 96 |
5.4 A Plate with Thin Films | p. 100 |
5.5 Effect of Film Stiffness | p. 102 |
5.6 A Plate in Contact with Fluids | p. 108 |
5.7 A Plate with Fluids under Unattached Electrodes | p. 112 |
5.8 Waves through a Joint between Two Semi-infinite Plates | p. 115 |
5.9 Trapped Modes in an Inhomogeneous Plate | p. 121 |
5.10 A Partially Electroded Plate | p. 127 |
5.11 Multi-sectioned Plates: Phononic Crystals | p. 130 |
Chapter 6 Waves in a Layer on a Substrate | p. 139 |
6.1 A Metal Plate on a Ceramic Half-space | p. 139 |
6.2 A Dielectric Plate on a Ceramic Half-space | p. 142 |
6.3 An FGM Ceramic Plate on an Elastic Half-space | p. 143 |
6.4 A Plate Imperfectly Bonded to a Half-space | p. 152 |
6.5 A Plate Imperfectly Bonded to Two Half-spaces | p. 158 |
6.6 Gap Waves between a Plate and a Half-space | p. 171 |
6.7 A Plate between a Half-Space and a Fluid | p. 175 |
Chapter 7 Free Vibrations in Cartesian Coordinates | p. 179 |
7.1 Thickness-shear in a Plate | p. 179 |
7.2 Thickness-shear in a Plate with Unattached Electrodes | p. 183 |
7.3 Thickness-shear in a Plate with Thin Films | p. 187 |
7.4 Thickness-shear in a Plate with Imperfectly Bonded Films | p. 190 |
7.5 Thickness-shear in a Layered Plate with an Imperfect Interface | p. 194 |
7.6 Edge Modes in a Semi-infinite Plate | p. 199 |
7.7 Mass Sensitivity of Edge Modes | p. 201 |
7.8 Modes in a Rectangular Plate | p. 204 |
7.9 A Rectangular Plate with Thin Films | p. 208 |
Chapter 8 Free Vibrations in Polar Coordinates | p. 217 |
8.1 Thickness-shear in a Circular Cylinder | p. 217 |
8.2 A Circular Cylinder with Unattached Electrodes | p. 221 |
8.3 A Wedge | p. 225 |
8.4 A Circular Cylindrical Panel | p. 229 |
8.5 An Elliptical Cylinder | p. 236 |
Chapter 9 Forced Vibrations in Cartesian Coordinates | p. 239 |
9.1 Thickness-shear in a Plate Driven by a Voltage | p. 239 |
9.2 Thickness-shear in a Plate Driven by Traction: A Generator | p. 241 |
9.3 Thickness-twist in a Plate Driven by Traction: A Generator | p. 245 |
9.4 A Plate Transformer | p. 253 |
9.5 A Plate with Nonuniform Electrodes | p. 263 |
9.6 A Multilayered Plate | p. 269 |
9.7 Power Transmission through an Elastic Plate | p. 275 |
9.8 A Transducer on an Elastic Plate | p. 282 |
9.9 Two Transducers on an Elastic Plate | p. 289 |
9.10 A Transducer on an Elastic Half-space | p. 297 |
Chapter 10 Forced Vibrations in Polar Coordinates | p. 303 |
10.1 A Shell Generator | p. 303 |
10.2 A Shell Transformer | p. 307 |
10.3 Power Transmission through an Elastic Shell | p. 313 |
10.4 A Circular Cylindrical Panel | p. 321 |
10.5 Power Transmission with Finite Transducers | p. 327 |
10.6 A Transducer on an Elastic Shell | p. 339 |
10.7 Two Transducers on an Elastic Shell | p. 343 |
10.8 A Circular Cylinder with Unattached Electrodes | p. 351 |
10.9 A Multilayered Shell | p. 355 |
References | p. 365 |
Appendix 1 Notation | p. 371 |
Appendix 2 Material Constants | p. 373 |
Index | p. 379 |