Contents -- Preface -- Chapter 1: Basic Equations -- 1.1 Equations of Linear Piezoelectricity -- 1.2 Cylindrical Coordinates -- 1.3 Matrix Notation -- 1.4 Constitutive Relations of Polarized Ceramics -- 1.5 Antiplane Problems -- 1.6 Bleustein's Formulation -- 1.7 A Static General Solution in Polar Coordinates -- 1.8 A Time-harmonic General Solution in Polar Coordinates -- 1.9 Boundary Integral Equation Formulation -- Chapter 2: Static Problems -- 2.1 A Surface Distribution of Electric Potential -- 2.2 Shear of a Plate -- 2.2.1. Shorted electrodes -- 2.2.2. Open electrodes -- 2.2.3. Electromechanical coupling coefficient -- 2.3 Capacitance of a Plate -- 2.3.1. Free surfaces -- 2.3.2. Clamped surfaces -- 2.3.3. Electromechanical coupling coefficient -- 2.4 Capacitance of a Circular Cylindrical Shell -- 2.5 A Circular Hole under Axisymmetric Loads -- 2.6 A Circular Hole under Shear -- 2.7 A Circular Cylinder in an Electric Field -- 2.8 A Screw Dislocation -- 2.9 A Crack -- Chapter 3: Simple Dynamic Problems -- 3.1 Plane Wave Propagation -- 3.2 Reflection at a Boundary -- 3.3 Reflection and Refraction at an Interface -- 3.4 Scattering by a Circular Cylinder -- 3.5 A Moving Dislocation -- 3.6 A Moving Crack -- Chapter 4: Surface and Interface Waves -- 4.1 Surface Waves over a Half-space -- 4.1.1. A half-space with an electroded surface -- 4.1.2. A half-space with an unelectroded surface -- 4.2 A Half-space with a Thin Film -- 4.2.1. Governing equations -- 4.2.2. A half-space with an electroded surface -- 4.2.3. A half-space with an unelectroded surface -- 4.3 An FGM Half-space -- 4.3.1. Governing equations -- 4.3.2. Fields in different regions -- 4.3.3. An unelectroded surface -- 4.3.4. An electroded surface -- 4.4 A Half-space in Contact with a Fluid -- 4.4.1. Governing equations and fields -- 4.4.2. A half-space with an electroded surface.

4.4.3. A half-space with an unelectroded surface -- 4.5 Interface Waves -- 4.5.1. Governing equations and fields -- 4.5.2. An electroded interface -- 4.5.3. An unelectroded interface -- 4.6 An Imperfectly Bonded Interface -- 4.6.1. Governing equations and fields -- 4.6.2. An electroded interface -- 4.6.3. An unelectroded interface -- 4.7 An Interface between Two FGM Half-spaces -- 4.7.1. Fields in the lower half-space -- 4.7.2. Fields in the upper half-space -- 4.7.3. An electroded interface -- 4.7.4. An unelectroded interface -- 4.8 Gap Waves between Two Half-spaces -- 4.8.1. A gap between two half-spaces of different ceramics -- 4.8.2. A gap between two half-spaces of the same material -- 4.9 Waves over a Circular Cylindrical Surface -- Chapter 5: Waves in Plates -- 5.1 An Electroded Plate -- 5.1.1. Antisymmetric waves -- 5.1.2. Symmetric waves -- 5.1.3. Numerical results -- 5.2 An Unelectroded Plate -- 5.2.1. Antisymmetric waves -- 5.2.2. Symmetric waves -- 5.3 A Plate with Unattached Electrodes -- 5.3.1. Governing equations and fields -- 5.3.2. Dispersion relation -- 5.3.3. Numerical results -- 5.4 A Plate with Thin Films -- 5.4.1. Governing equations -- 5.4.2. Antisymmetric waves -- 5.4.3. Symmetric waves -- 5.5 Effect of Film Stiffness -- 5.5.1. An unelectroded plate -- 5.5.2. An electroded plate -- 5.6 A Plate in Contact with Fluids -- 5.6.1. Governing equations and fields -- 5.6.2. Antisymmetric waves -- 5.6.3. Symmetric waves -- 5.7 A Plate with Fluids under Unattached Electrodes -- 5.8 Waves through a Joint between Two Semi-infinite Plates -- 5.8.1. The left half -- 5.8.2. The right half -- 5.8.3. Continuity conditions -- 5.8.4. Numerical results -- 5.9 Trapped Modes in an Inhomogeneous Plate -- 5.9.1. Governing equations and fields -- 5.9.2. Continuity conditions and frequency equation -- 5.9.3. Numerical results.

5.10 A Partially Electroded Plate -- 5.10.1. Waves in an unbounded, unelectroded plate -- 5.10.2. Waves in an unbounded, electroded plate -- 5.10.3. Bechmann's number -- 5.11 Multi-sectioned Plates: Phononic Crystals -- 5.11.1. Governing equations -- 5.11.3. Numerical results -- 5.11.2. Solution -- 5.11.4. Modes in a periodic plate -- Chapter 6: Waves in a Layer on a Substrate -- 6.1 A Metal Plate on a Ceramic Half-space -- 6.2 A Dielectric Plate on a Ceramic Half-space -- 6.3 An FGM Ceramic Plate on an Elastic Half-space -- 6.3.1. Governing equations -- 6.3.2. Fields in different regions -- 6.3.3. An unelectroded plate -- 6.3.4. An electroded plate -- 6.4 A Plate Imperfectly Bonded to a Half-space -- 6.5 A Plate Imperfectly Bonded to Two Half-spaces -- 6.5.1. Governing equations and fields in different regions -- 6.5.2. An electroded plate -- 6.5.3. An unelectroded plate -- 6.6 Gap Waves between a Plate and a Half-space -- 6.6.1. Governing equations and fields -- 6.6.2. Dispersion relations -- 6.7 A Plate between a Half-Space and a Fluid -- Chapter 7: Free Vibrations in Cartesian Coordinates -- 7.1 Thickness-shear in a Plate -- 7.2 Thickness-shear in a Plate with Unattached Electrodes -- 7.3 Thickness-shear in a Plate with Thin Films -- 7.4 Thickness-shear in a Plate with Imperfectly Bonded Films -- 7.5 Thickness-shear in a Layered Plate with an Imperfect 194 Interface -- 7.6 Edge Modes in a Semi-infinite Plate -- 7.7 Mass Sensitivity of Edge Modes -- 7.8 Modes in a Rectangular Plate -- 7.8.1. An unelectroded plate -- 7.8.2. An electroded plate -- 7.9 A Rectangular Plate with Thin Films -- 7.9.1. Unelectroded plates -- 7.9.2. Electroded plates -- Chapter 8: Free Vibrations in Polar Coordinates -- 8.1 Thickness-shear in a Circular Cylinder -- 8.1.1. Clamped and electroded surfaces -- 8.1.2. Free and unelectroded surfaces.

8.1.3. Free and electroded surfaces -- 8.2 A Circular Cylinder with Unattached Electrodes -- 8.3 A Wedge -- 8.4 A Circular Cylindrical Panel -- 8.4.1. Governing equations and fields -- 8.4.2. An unelectroded transducer -- 8.4.3. An electroded transducer -- 8.4.4. Numerical results -- 8.5 An Elliptical Cylinder -- Chapter 9: Forced Vibrations in Cartesian Coordinates -- 9.1 Thickness-shear in a Plate Driven by a Voltage -- 9.2 Thickness-shear in a Plate Driven by Traction: A Generator -- 9.3 Thickness-twist in a Plate Driven by Traction: A Generator -- 9.3.1. Governing equations -- 9.3.2. Series solution -- 9.3.3. Numerical results -- 9.4 A Plate Transformer -- 9.4.1. Governing equations -- 9.4.2. Series solution -- 9.4.3. Numerical results -- 9.5 A Plate with Nonuniform Electrodes -- 9.5.1. Governing equations and solution -- 9.5.2. An example -- 9.6 A Multilayered Plate -- 9.7 Power Transmission through an Elastic Plate -- 9.7.1. Governing equations -- 9.7.2. Series solution -- 9.7.3. Numerical results -- 9.8 A Transducer on an Elastic Plate -- 9.8.1. Governing equations -- 9.8.2. Series solution -- 9.8.3. Numerical results -- 9.9 Two Transducers on an Elastic Plate -- 9.9.1. Governing equations -- 9.9.2. Fields in different regions -- 9.9.3. Boundary, continuity and circuit conditions -- 9.10 A Transducer on an Elastic Half-space -- 9.10.1. Governing equations -- 9.10.2. Fields in different regions -- 9.10.3. Boundary and continuity conditions -- Chapter 10: Forced Vibrations in Polar Coordinates -- 10.1 A Shell Generator -- 10.2 A Shell Transformer -- 10.2.1. Governing equations -- 10.2.2. Solution -- 10.2.3. Numerical results -- 10.3 Power Transmission through an Elastic Shell -- 10.3.1. Governing equations -- 10.3.2. Solution -- 10.3.3. Numerical results -- 10.4 A Circular Cylindrical Panel -- 10.5 Power Transmission with Finite Transducers.

10.5.1. Governing equations -- 10.5.2. Fields in different regions -- 10.5.3. Boundary, continuity and circuit conditions -- 10.5.4. Numerical results and discussion -- 10.6 A Transducer on an Elastic Shell -- 10.6.1. Governing equations and fields -- 10.6.2. Boundary and continuity conditions -- 10.6.3. Numerical results -- 10.7 Two Transducers on an Elastic Shell -- 10.7.1. Governing equations and fields -- 10.7.2. Boundary, continuity and circuit conditions -- 10.7.3. Numerical results -- 10.8 A Circular Cylinder with Unattached Electrodes -- 10.9 A Multilayered Shell -- 10.9.1. Governing equations -- 10.9.2. Solution -- 10.9.3. Numerical results -- References -- Appendix 1: Notation -- Appendix 2: Material Constants -- Index.