A Review of a Few Topics in Piezoelectricity

[1]  Subaru Kudo Finite Element Analysis of Mechanical Couplings in a Tuning Fork Gyroscope , 1997 .

[2]  Jiashi Yang,et al.  Analysis of a ceramic bimorph piezoelectric gyroscope , 1999 .

[3]  H. J. Shaw,et al.  Surface Wave Delay Line Amplifiers , 1969 .

[4]  J. S. Burdess,et al.  Rayleigh Waves on a Rotating Surface , 1994 .

[5]  Jiashi Yang,et al.  A moving screw dislocation in piezoelectromagnetic ceramics , 2004 .

[6]  S. Dost Acceleration waves in elastic dielectrics with polarization gradient effects , 1983 .

[7]  R. D. Mindlin Electromechanical vibrations of centrosymmetric cubic crystal plates: PMM vol. 35, n≗3, 1971, pp. 446–450 , 1971 .

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[11]  J.S. Yang Some analytical results on piezoelectric gyroscopes , 1998, Proceedings of the 1998 IEEE International Frequency Control Symposium (Cat. No.98CH36165).

[12]  Jiashi Yang,et al.  Higher-Order Theories of Piezoelectric Plates and Applications , 2000 .

[13]  K. L. Chowdhury,et al.  Constitutive equations for elastic dielectrics , 1976 .

[14]  G. Maugin,et al.  Nonlinear electroacoustic equations in semiconductors with interfaces (relation between the macroscopic and the quasi-microscopic descriptions) , 1988 .

[15]  Noboru Wakatsuki,et al.  Finite Element Method Analysis of Single Crystal Tuning Fork Gyroscope for Suppression of its Inner Leakage Coupling , 1997 .

[16]  H. F. Tiersten,et al.  Electrostatic interactions and the piezoelectric equations , 1980 .

[17]  S. Fujishima,et al.  Piezoelectric vibratory gyroscope using flexural vibration of a triangular bar , 1991, Proceedings of the 45th Annual Symposium on Frequency Control 1991.

[18]  P. Das,et al.  Acoustoelectric Interaction and Transverse Acoustoelectric Voltage in Multilayered Semiconductor , 1986, IEEE 1986 Ultrasonics Symposium.

[19]  Gérard A. Maugin,et al.  Electrodynamics Of Continua , 1990 .

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[21]  M. Ancona,et al.  Fully macroscopic description of electrical conduction in metal-insulator-semiconductor structures , 1983 .

[22]  Singiresu S. Rao,et al.  Piezoelectricity and Its Use in Disturbance Sensing and Control of Flexible Structures: A Survey , 1994 .

[23]  D. L. White Amplification of Ultrasonic Waves in Piezoelectric Semiconductors , 1962 .

[24]  L. Schmerr,et al.  Some exact solutions for the propagation of transient electroacoustic waves. II: Plane interface between two piezoelectric media , 1986 .

[25]  P. Loveday A Coupled Electromechanical Model of an Imperfect Piezoelectric Vibrating Cylinder Gyroscope , 1996 .

[26]  H. Fang,et al.  Rotation sensitivity of waves propagating in a rotating piezoelectric plate , 2002 .

[27]  I. A. Ulitko Mathematical theory of the fork-type wave gyroscope , 1995, Proceedings of the 1995 IEEE International Frequency Control Symposium (49th Annual Symposium).

[28]  H. Zhou,et al.  Acoustoelectric amplification of piezoelectric surface waves , 2004 .

[29]  R. D. Mindlin Electromagnetic radiation from a vibrating, elastic sphere , 1974 .

[30]  Wen-Chung Wang,et al.  Acoustoelectric Interactions in Thin-Film Semiconductors Induced by Two Contra-Directed Surface Acoustic Waves , 1985, IEEE Transactions on Sonics and Ultrasonics.

[31]  H. Fang,et al.  Surface acoustic waves propagating over a rotating piezoelectric half-space. , 2001, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[32]  Colin H. J. Fox Vibrating cylinder rate gyro - Theory of operation and error analysis , 1988 .

[33]  Qing Jiang,et al.  Effects of Coriolis force and centrifugal force on acoustic waves propagating along the surface of a piezoelectric half-space , 2001 .

[34]  G. Maugin Nonlinear Waves in Elastic Crystals , 2000 .

[35]  H. Tiersten,et al.  Shock waves and acoustoelectric domains in piezoelectric semiconductors , 1977 .

[36]  Pcy Lee,et al.  Lattice-Dynamics Approach to the Theory of Elastic Dielectrics with Polarization Gradient , 1970 .

[37]  Junji Tani,et al.  Intelligent Material Systems: Application of Functional Materials , 1998 .

[38]  R. D. Mindlin Electromagnetic radiation from a vibrating quartz plate , 1973 .

[39]  J. Burdess,et al.  Surface Waves Perturbed by Rotation , 1987 .

[40]  Noboru Wakatsuki,et al.  ELECTROMECHANICAL COUPLING COEFFICIENTS FOR A NEW H-TYPE LITAO3 PIEZOELECTRIC GYROSCOPE , 1998 .

[41]  Gérard A. Maugin,et al.  The method of virtual power in continuum mechanics: Application to coupled fields , 1980 .

[42]  H. F. Tiersten,et al.  Nonlinear electroelastic equations for small fields superposed on a bias , 1973 .

[43]  R. D. Mindlin Coupled elastic and electromagnetic fields in a diatomic, dielectric continuum , 1972 .

[44]  H. Tiersten,et al.  Circulating Flexural Wave Rotation Rate Sensor , 1981 .

[45]  B. Y. Lao,et al.  Gyroscopic Effect in Surface Acoustic Waves , 1980 .

[46]  P. Das,et al.  Acoustoelectric Interaction in Layered Semiconductor , 1987, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[47]  R. Toupin The Elastic Dielectric , 1956 .

[48]  Richard M. White,et al.  Propagation of Piezoelectric and Elastic Surface Waves on the Basal Plane of Hexagonal Piezoelectric Crystals , 1967 .

[49]  Vibrational Analysis of Tuning Fork Gyroscope with Orthogonal Vibration Arms , 1993 .

[50]  G. Maugin,et al.  Bleustein–Gulayev surface modes in elastic ferroelectrics , 1981 .

[51]  G. Maugin Nonlocal theories or gradient-type theories - A matter of convenience , 1979 .

[52]  Jiashi Yang,et al.  Effects of Electromagnetic Coupling on a Moving Crack in Polarized Ceramics , 2004 .

[53]  Philip Wayne Loveday,et al.  Analysis and Compensation of Imperfection Effects in Piezoelectric Vibratory Gyroscopes , 1999 .

[54]  J. Soderkvist,et al.  Piezoelectric beams and vibrating angular rate sensors , 1991, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[55]  Yoshitaka Takahashi,et al.  Design methodology of single crystal tuning fork gyroscope for automotive applications , 1998, 1998 IEEE Ultrasonics Symposium. Proceedings (Cat. No. 98CH36102).

[56]  G. Maugin,et al.  Phenomenological theory of elastic semiconductors , 1986 .

[57]  J. S. Yang,et al.  Conservation laws in linear piezoelectricity , 1995 .

[58]  G. Maugin,et al.  Electroacoustic equations for one‐domain ferroelectric bodies , 1980 .

[59]  E. M. Lifshitz,et al.  Electrodynamics of continuous media , 1961 .

[60]  Noboru Wakatsuki,et al.  H-Type Single Crystal Piezoelectric Gyroscope of an Oppositely Polarized LiNbO3 Plate , 2001 .

[61]  Jiashi Yang,et al.  A piezoelectric gyroscope based on extensional vibrations of rods , 2003 .

[62]  G. Maugin,et al.  Waves in elastic semiconductors in a bias electric field , 1986 .

[63]  M. Ancona,et al.  A Fully Macroscopic Description of Bounded Semiconductors with an Application to the Si-Si02 Interface. , 1980 .

[64]  Jiashi Yang Analysis of ceramic thickness shear piezoelectric gyroscopes , 1997 .

[65]  J. S. Yang,et al.  Amplification of acoustic waves in laminated piezoelectric semiconductor plates , 2004 .

[66]  L. Eric Cross,et al.  Observation of the flexoelectric effect in relaxor Pb(Mg1/3Nb2/3)O3 ceramics , 2001 .

[67]  S. Sugawara,et al.  Finite element analysis of single crystal tuning forks for gyroscopes , 1996, Proceedings of 1996 IEEE International Frequency Control Symposium.

[68]  J. S. Yang,et al.  A new ceramic tube piezoelectric gyroscope , 2003 .

[69]  R. D. Mindlin,et al.  Polarization Gradient in Elastic Dielectrics , 1968 .

[70]  L. Schmerr,et al.  Some exact solutions for the propagation of transient electroacoustic waves. I: Piezoelectric half-space , 1986 .

[71]  Jiangyu Li Exchange coupling in P(VDF-TrFE) copolymer based all-organic composites with giant electrostriction. , 2003, Physical review letters.

[72]  Jia-shi Yang A semi-infinite anti-plane crack in a piezoelectric semiconductor , 2004 .

[73]  J. S. Burdess,et al.  A review of vibratory gyroscopes , 1994 .

[74]  T. Ting,et al.  Surface waves in a rotating anisotropic elastic half-space , 2004 .

[75]  H. F. Tiersten,et al.  On the nonlinear equations of thermo-electroelasticity , 1971 .

[76]  M. C. Dockmeci Recent progress in the dynamic applications of piezoelectric crystals , 1988 .

[77]  Yoshida Tetsuo,et al.  Piezoelectric-ceramic cylinder vibratory gyroscope , 1992 .

[78]  Jiashi Yang,et al.  Love waves in piezoelectromagnetic materials , 2004 .

[79]  R. D. Mindlin Continuum and lattice theories of influence of electromechanical coupling on capacitance of thin dielectric films , 1969 .

[80]  H. Tiersten,et al.  One‐dimensional acceleration waves and acoustoelectric domains in piezoelectric semiconductors , 1976 .

[81]  Tetsuo Yoshida,et al.  Trapped Energy Gyroscopes Using Thickness Shear Vibrations in a Partially Polarized Piezoelectric Ceramic Plate , 1998 .

[82]  A. Pal,et al.  Amplification of B-G waves in a pre-stressed piezoelectric half space of hexagonal symmetry , 1988 .

[83]  G. Kino Acoustoelectric interactions in acoustic-surface-wave devices , 1976, Proceedings of the IEEE.

[84]  G. Maugin,et al.  Piezoelectric Rayleigh waves in elastic ferroelectrics , 1981 .

[85]  H. Fang,et al.  Analysis of a few piezoelectric gyroscopes , 2000, Proceedings of the 2000 IEEE/EIA International Frequency Control Symposium and Exhibition (Cat. No.00CH37052).

[86]  C. Fischler Acoustoelectric Amplification in a Many-Carrier System , 1970 .

[87]  Analysis of a plate piezoelectric gyroscope by equations for a piezoelectric parallelepiped , 1999, Proceedings of the 1999 Joint Meeting of the European Frequency and Time Forum and the IEEE International Frequency Control Symposium (Cat. No.99CH36313).

[88]  B. Collet One-dimensional acceleration waves in deformable dielectrics with polarization gradients , 1981 .

[89]  P. Loveday,et al.  Modification of piezoelectric vibratory gyroscope resonator parameters by feedback control , 1998, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[90]  Jiashi Yang,et al.  Thickness vibrations of rotating piezoelectric plates , 1998 .

[91]  Yang Jia-shi,et al.  Interface waves between two piezoelectric half-spaces with a semiconductor film , 2005 .

[92]  H. Fang,et al.  One-dimensional equations for a piezoelectric ring and applications in a gyroscope. , 2001, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[93]  P. C. Lee,et al.  Lattice-dynamics approach to the theory of diatomic elastic dielectrics , 1974 .

[94]  Jiashi Yang,et al.  Amplification of acoustic waves in piezoelectric semiconductor plates , 2005 .

[95]  Calculation of radiated electromagnetic power from bulk acoustic wave resonators , 1993, 1993 IEEE International Frequency Control Symposium.

[96]  A. R. Hutson,et al.  Elastic Wave Propagation in Piezoelectric Semiconductors , 1962 .

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[98]  J. Schwartz Solutions of the equations of equilibrium of elastic dielectrics: stress functions, concentrated force, surface energy☆ , 1969 .

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[100]  B. Collet Shock waves in deformable dielectrics with polarization gradients , 1982 .

[101]  J. Burdess The Dynamics of a Thin Piezoelectric Cylinder Gyroscope , 1986 .

[102]  Michel Destrade,et al.  Surface acoustic waves in rotating orthorhombic crystals , 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[103]  Jiashi Yang,et al.  A vibrating piezoelectric ceramic shell as a rotation sensor , 2000 .

[104]  Jiashi Yang,et al.  Bleustein-gulyaev waves in piezoelectromagnetic materials , 2001 .

[105]  H. Pailloux Piézoélectricité. Calcul des vitesses de propagation , 1958 .

[106]  G. Koerber,et al.  Piezoelectric Surface Waves on LiNbO3 , 1971, IEEE Transactions on Sonics and Ultrasonics.

[107]  K. L. Chowdhury,et al.  Point charge in the interior of an elastic dielectric half space , 1977 .

[108]  J. Wauer,et al.  Thickness vibrations of a piezo-semiconducting plate layer , 1997 .

[109]  Yuantai Hu,et al.  Mechanics of electroelastic bodies under biasing fields , 2004 .

[110]  Yongrae Roh,et al.  Design and fabrication of a dual axial gyroscope with piezoelectric ceramics , 1997, Proceedings of International Frequency Control Symposium.

[111]  Pcy Lee Electromagnetic radiation from an AT‐cut quartz plate under lateral‐field excitation , 1989 .

[112]  Romesh C. Batra,et al.  Energy-momentum tensors in nonsimple elastic dielectrics , 1996 .

[113]  J. Turner,et al.  Amplification of Acoustic Waves in Piezoelectric Semiconductor Shells , 2005 .

[114]  R. D. Mindlin On the electrostatic potential of a point charge in a dielectric solid , 1973 .

[115]  L. J. Busse,et al.  Acoustoelectric detection of ultrasound power with composite piezoelectric and semiconductor devices , 1988, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[116]  J. Burdess,et al.  A Rotation Rate Sensor Based Upon a Rayleigh Resonator , 1994 .

[117]  J. S. Yang Acoustic Gap Waves in Piezoelectromagnetic Materials , 2006 .

[118]  E. Suhubi Elastic dielectrics with polarization gradient , 1969 .

[119]  A. Eringen Theory of nonlocal piezoelectricity , 1984 .

[120]  Jiashi Yang,et al.  Electromagnetoelastic behavior induced by a crack under antiplane mechanical and inplane electric impacts , 2005 .

[121]  Jörg Wauer Waves in rotating conducting piezoelectric media , 1999 .

[122]  R. D. Mindlin Elasticity, piezoelectricity and crystal lattice dynamics , 1972 .

[123]  H. Fang,et al.  Analysis of a rotating elastic beam with piezoelectric films as an angular rate sensor , 2002, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[124]  H. Zhou,et al.  Propagation and amplification of gap waves between a piezoelectric half-space and a semiconductor film , 2005 .

[125]  K. Ingebrigtsen,et al.  Linear and Nonlinear Attenuation of Acoustic Surface Waves in a Piezoelectric Coated with a Semiconducting Film , 1970 .

[126]  C. Massalas,et al.  Tiersten's theory of thermoelectroelasticity: an extension , 1993 .

[127]  Jiashi Yang Effects of Electric Field Gradient on an Anti-Plane Crack in Piezoelectric Ceramics , 2004 .

[128]  H. Fang,et al.  Vibration analysis of a rotating elastic beam with piezoelectric films as an angular rate sensor , 2001, Proceedings of the 2001 IEEE International Frequncy Control Symposium and PDA Exhibition (Cat. No.01CH37218).

[129]  T. M. Reeder,et al.  A normal mode theory for the Rayleigh wave amplifier , 1971 .

[130]  Joseph John Kyame,et al.  Wave Propagation in Piezoelectric Crystals , 1949 .

[131]  P. Palanichamy,et al.  Acoustic second harmonic generation in piezoelectric semiconductors: Effect of nonuniform electric field intensity , 1983 .

[132]  Jiashi Yang,et al.  Electric field gradient effects in anti-plane problems of polarized ceramics , 2004 .

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[134]  Singiresu S Rao,et al.  Recent Advances in Sensing and Control of Flexible Structures Via Piezoelectric Materials Technology , 1999 .

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[136]  H. Fang,et al.  Thickness vibrations of a rotating AT-cut quartz plate , 2001, 2001 IEEE Ultrasonics Symposium. Proceedings. An International Symposium (Cat. No.01CH37263).

[138]  Grant P. Steven,et al.  A Review on the Modelling of Piezoelectric Sensors and Actuators Incorporated in Intelligent Structures , 1998 .

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[140]  G. Maugin,et al.  Coupled acoustic–optic modes in deformable ferroelectrics , 1980 .

[141]  J. Soderkvist Piezoelectric beams and angular rate sensors , 1990, 44th Annual Symposium on Frequency Control.

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[143]  Jiashi Yang,et al.  Piezoelectromagnetic waves in a ceramic plate. , 2004, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

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[145]  Joseph John Kyame,et al.  Conductivity and Viscosity Effects on Wave Propagation in Piezoelectric Crystals , 1954 .

[146]  G. Maugin Nonlinear electromechanical couplings , 1992 .

[147]  E. Hadjigeorgiou,et al.  A variational principle for elastic dielectrics with quadrupole polarization , 1995 .

[148]  Shaofan Li THE ELECTROMAGNETO-ACOUSTIC SURFACE WAVE IN A PIEZOELECTRIC MEDIUM : THE BLEUSTEIN-GULYAEV MODE , 1996 .

[149]  T. M. Sanders,et al.  Acoustoelectric Effect in n-Type Germanium , 1959 .

[150]  H. Fang,et al.  Equations for a piezoelectric parallelepiped and applications in a gyroscope , 1999 .

[151]  Charles B. Kafadar The theory of multipoles in classical electromagnetism , 1971 .

[152]  V. K. Kalpakides,et al.  On Material Equations in Second Gradient Electroelasticity , 2002 .

[153]  T. Tsuchiya,et al.  Finite element simulation of piezoelectric vibrator gyroscopes , 1996, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[154]  Subaru Kudo,et al.  Consideration on Temperature Characteristics of Sensitivity in Quartz Tuning Fork Gyroscope , 1998 .

[155]  M. C. Dokmecl Literature Review : Recent Progress in the Dynamic Applications of Piezoelectric Crystals , 1988 .

[156]  Chin‐Chong Tseng,et al.  Elastic Surface Waves on Free Surface and Metallized Surface of CdS, ZnO, and PZT‐4 , 1967 .

[157]  S. Dost,et al.  A strain-gradients theory of elastic dielectrics with spatial dispersion , 1988 .

[158]  V. K. Kalpakides,et al.  A general theory for elastic dielectrics. II. The variational approach , 1999 .

[159]  Jiashi Yang,et al.  Rotation-perturbed surface acoustic waves propagating in piezoelectric crystals , 2000 .