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Volumn , Issue , 2006, Pages 1-314

The mechanics of piezoelectric structures

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALLOGRAPHY; PIEZOELECTRIC DEVICES; VIBRATIONS (MECHANICAL);

EID: 84967622788     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/6057     Document Type: Book
Times cited : (211)

References (82)
  • 1
    • 49649148539 scopus 로고
    • On the nonlinear equations of thermoelectroelasticity
    • H. F. Tiersten, On the nonlinear equations of thermoelectroelasticity, Int. J. Engng Sci., 9, 587-604, 1971.
    • (1971) Int. J. Engng Sci , vol.9 , pp. 587-604
    • Tiersten, H.F.1
  • 2
    • 0019657984 scopus 로고
    • Electroelastic interactions and the piezoelectric equations
    • H. F. Tiersten, Electroelastic interactions and the piezoelectric equations, J. Acoust. Soc.Am., 70, 1567-1576, 1981.
    • (1981) J. Acoust. Soc.Am , vol.70 , pp. 1567-1576
    • Tiersten, H.F.1
  • 5
    • 84955017854 scopus 로고
    • Nonlinear electroelastic equations for small fields superposed on a bias
    • J. C. Baumhauer and H. F. Tiersten, Nonlinear electroelastic equations for small fields superposed on a bias, J. Acoust. Soc. Am., 54, 1017-1034, 1973.
    • (1973) J. Acoust. Soc. Am , vol.54 , pp. 1017-1034
    • Baumhauer, J.C.1    Tiersten, H.F.2
  • 6
    • 0001225121 scopus 로고
    • On the accurate description of piezoelectric resonators subject to biasing deformations
    • H. F. Tiersten, On the accurate description of piezoelectric resonators subject to biasing deformations, Int. J. Engng Sci., 33, 2239-2259, 1995.
    • (1995) Int. J. Engng Sci , vol.33 , pp. 2239-2259
    • Tiersten, H.F.1
  • 7
    • 0016487250 scopus 로고
    • Nonlinear electroelastic equations cubic in the small field variables
    • H. F. Tiersten, Nonlinear electroelastic equations cubic in the small field variables, J. Acoust. Soc. Am., 57, 660-666, 1975.
    • (1975) J. Acoust. Soc. Am , vol.57 , pp. 660-666
    • Tiersten, H.F.1
  • 8
    • 0016486660 scopus 로고
    • Analysis of intermodulation in thickness-shear and trapped energy resonators
    • H. F. Tiersten, Analysis of intermodulation in thickness-shear and trapped energy resonators, J. Acoust. Soc. Am., 57, 667-681, 1975.
    • (1975) J. Acoust. Soc. Am , vol.57 , pp. 667-681
    • Tiersten, H.F.1
  • 10
    • 84953660250 scopus 로고
    • Thickness vibrations of piezoelectric plates
    • H. F. Tiersten, Thickness vibrations of piezoelectric plates, J. Acoust. Soc. Am, 35, 53-58, 1963.
    • (1963) J. Acoust. Soc. Am , vol.35 , pp. 53-58
    • Tiersten, H.F.1
  • 11
    • 84906887825 scopus 로고
    • Wave propagation in an infinite piezoelectric plate
    • H. F. Tiersten, Wave propagation in an infinite piezoelectric plate, J. Acoust. Soc. Am., 35, 234-239, 1963.
    • (1963) J. Acoust. Soc. Am , vol.35 , pp. 234-239
    • Tiersten, H.F.1
  • 12
    • 0014479194 scopus 로고
    • Some simple modes of wave propagation in an infinite piezoelectric plate
    • J. L. Bleustein, Some simple modes of wave propagation in an infinite piezoelectric plate, J. Acoust. Soc. Am., 45, 614-620, 1969.
    • (1969) J. Acoust. Soc. Am , vol.45 , pp. 614-620
    • Bleustein, J.L.1
  • 14
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates
    • R. D. Mindlin, Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, ASME J. Appl. Mech., 18, 31-38, 1951.
    • (1951) ASME J. Appl. Mech , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 15
    • 0001321760 scopus 로고
    • Thickness-shear and flexural vibrations of crystal plates
    • R. D. Mindlin, Thickness-shear and flexural vibrations of crystal plates, J. Appl. Phys., 22, 316-323, 1951.
    • (1951) J. Appl. Phys , vol.22 , pp. 316-323
    • Mindlin, R.D.1
  • 16
    • 0008795417 scopus 로고
    • High frequency vibrations of crystal plates
    • R. D. Mindlin, High frequency vibrations of crystal plates, Quarterly of Applied Mathematics, 19, 51-61, 1961.
    • (1961) Quarterly of Applied Mathematics , vol.19 , pp. 51-61
    • Mindlin, R.D.1
  • 17
    • 0344209572 scopus 로고
    • High frequency vibrations of piezoelectric crystal plates
    • R. D. Mindlin, High frequency vibrations of piezoelectric crystal plates, Int. J. Solids Struct., 8, 895-906, 1972.
    • (1972) Int. J. Solids Struct , vol.8 , pp. 895-906
    • Mindlin, R.D.1
  • 18
    • 0035165008 scopus 로고    scopus 로고
    • A derivation of two-dimensional equations for the vibration of electroded piezoelectric plates using an unrestricted thickness expansion of the electric potential
    • H. F. Tiersten, A derivation of two-dimensional equations for the vibration of electroded piezoelectric plates using an unrestricted thickness expansion of the electric potential, Proc. IEEE International Frequency Control Symp. and PDA Exhibition, 571-579, 2001.
    • (2001) Proc. IEEE International Frequency Control Symp. and PDA Exhibition , pp. 571-579
    • Tiersten, H.F.1
  • 19
    • 0015346246 scopus 로고
    • An approximate theory for high-frequency vibrations of elastic plates
    • P. C. Y. Lee and Z. Nikodem, An approximate theory for high-frequency vibrations of elastic plates, Int. J. Solids Structures, 8, 581-612, 1972.
    • (1972) Int. J. Solids Structures , vol.8 , pp. 581-612
    • Lee, P.C.Y.1    Nikodem, Z.2
  • 20
    • 0019716171 scopus 로고
    • A two-dimensional theory for piezoelectric layers used in electro-mechanical transducers
    • N. Bugdayci and D. B. Bogy, A two-dimensional theory for piezoelectric layers used in electro-mechanical transducers, Int. J. Solids Struct., 17, 1159-1178, 1981.
    • (1981) Int. J. Solids Struct , vol.17 , pp. 1159-1178
    • Bugdayci, N.1    Bogy, D.B.2
  • 21
    • 20844451987 scopus 로고
    • A two-dimensional theory for highfrequency vibrations of piezoelectric crystal plates with or without electrodes
    • P. C. Y. Lee, S. Syngellakis and J. P. Hou, A two-dimensional theory for highfrequency vibrations of piezoelectric crystal plates with or without electrodes, J. Appl. Phys., 61, 1249-1262, 1987.
    • (1987) J. Appl. Phys , vol.61 , pp. 1249-1262
    • Lee, P.C.Y.1    Syngellakis, S.2    Hou, J.P.3
  • 22
    • 0003125649 scopus 로고    scopus 로고
    • Higher-order theories of piezoelectric plates and applications
    • J. Wang and J. S. Yang, Higher-order theories of piezoelectric plates and applications, Applied Mechanics Reviews, 53, 87-99, 2000.
    • (2000) Applied Mechanics Reviews , vol.53 , pp. 87-99
    • Wang, J.1    Yang, J.S.2
  • 24
    • 0032188126 scopus 로고    scopus 로고
    • Equations for the extension and flexure of a piezoelectric beam with rectangular cross section and applications
    • J. S. Yang, Equations for the extension and flexure of a piezoelectric beam with rectangular cross section and applications, Int. J. of Appl. Electromagnetics and Mechanics, 9, 409-420, 1998.
    • (1998) Int. J. of Appl. Electromagnetics and Mechanics , vol.9 , pp. 409-420
    • Yang, J.S.1
  • 26
    • 0033348021 scopus 로고    scopus 로고
    • On a special class of boundary-value problems in the theory of shells and plates
    • S. Krishnaswamy and J. S. Yang, On a special class of boundary-value problems in the theory of shells and plates, Thin-Walled Structures, 35, 139-152, 1999.
    • (1999) Thin-Walled Structures , vol.35 , pp. 139-152
    • Krishnaswamy, S.1    Yang, J.S.2
  • 27
    • 0041023818 scopus 로고
    • Forced thickness-shear vibrations of discontinuously plated piezoelectric plates
    • J. L. Bleustein and H. F. Tiersten, Forced thickness-shear vibrations of discontinuously plated piezoelectric plates, J. Acoust. Soc. Am., 43, 1311-1318, 1968.
    • (1968) J. Acoust. Soc. Am , vol.43 , pp. 1311-1318
    • Bleustein, J.L.1    Tiersten, H.F.2
  • 28
    • 0031458688 scopus 로고    scopus 로고
    • Analysis of ceramic thickness shear piezoelectric gyroscopes
    • J. S. Yang, Analysis of ceramic thickness shear piezoelectric gyroscopes, J. Acoust. Soc. Am., 102, 3542-3548, 1997.
    • (1997) J. Acoust. Soc. Am , vol.102 , pp. 3542-3548
    • Yang, J.S.1
  • 29
    • 0011731256 scopus 로고
    • Bechmann’s number for harmonic overtones of thickness/twist vibrations of rotated Y-cut quartz plates
    • R. D. Mindlin, Bechmann’s number for harmonic overtones of thickness/twist vibrations of rotated Y-cut quartz plates, J. Acoust. Soc. Am., 41, 969-973, 1967.
    • (1967) J. Acoust. Soc. Am , vol.41 , pp. 969-973
    • Mindlin, R.D.1
  • 30
    • 0000060884 scopus 로고
    • Thickness-shear and flexural vibrations of partially plated, crystal plates
    • R. D. Mindlin and P. C. Y. Lee, Thickness-shear and flexural vibrations of partially plated, crystal plates, Int. J. Solids Struct., 2, 125-139, 1966.
    • (1966) Int. J. Solids Struct , vol.2 , pp. 125-139
    • Mindlin, R.D.1    Lee, P.C.Y.2
  • 31
    • 0028383282 scopus 로고
    • Free vibrations of a piezoelectric body
    • J. S. Yang and R. C. Batra, Free vibrations of a piezoelectric body, Journal of Elasticity, 34, 239-254, 1994.
    • (1994) Journal of Elasticity , vol.34 , pp. 239-254
    • Yang, J.S.1    Batra, R.C.2
  • 32
    • 13444305984 scopus 로고
    • Variational formulations for the vibration of a piezoelectric plate
    • J. S. Yang, Variational formulations for the vibration of a piezoelectric plate, Arch. Mech., 45, 639-651, 1993.
    • (1993) Arch. Mech , vol.45 , pp. 639-651
    • Yang, J.S.1
  • 33
    • 85143536934 scopus 로고
    • High-frequency extensional vibrations of plates
    • T. R. Kane and R. D. Mindlin, High-frequency extensional vibrations of plates, ASME J. Appl. Mech., 23, 277-283, 1956.
    • (1956) ASME J. Appl. Mech , vol.23 , pp. 277-283
    • Kane, T.R.1    Mindlin, R.D.2
  • 34
    • 33747980360 scopus 로고
    • Extensional vibrations of elastic plates
    • R. D. Mindlin and M. A. Medick, Extensional vibrations of elastic plates, ASME J. Appl. Mech., 26, 561-569, 1959.
    • (1959) ASME J. Appl. Mech , vol.26 , pp. 561-569
    • Mindlin, R.D.1    Medick, M.A.2
  • 35
    • 0033363548 scopus 로고    scopus 로고
    • An approximate analysis of thickness-stretch waves in an elastic plate
    • J. S. Yang and S. Krishnaswamy, An approximate analysis of thickness-stretch waves in an elastic plate, Wave Motion, 30, 291-301, 1999.
    • (1999) Wave Motion , vol.30 , pp. 291-301
    • Yang, J.S.1    Krishnaswamy, S.2
  • 36
    • 0009758378 scopus 로고
    • High frequency vibrations of plated, crystal plates
    • Macmillan, New York
    • R. D. Mindlin, High frequency vibrations of plated, crystal plates, Progress in Applied Mechanics, Macmillan, New York, 73-84, 1963.
    • (1963) Progress in Applied Mechanics , pp. 73-84
    • Mindlin, R.D.1
  • 37
    • 0029215182 scopus 로고
    • Equations for the control of the flexural vibrations of composite plates by partially electroded piezoelectric actuators, Active Materials and Smart Structures
    • G. L. Anderson and D. C. Lagoudas, ed
    • H. F. Tiersten, Equations for the control of the flexural vibrations of composite plates by partially electroded piezoelectric actuators, Active Materials and Smart Structures, G. L. Anderson and D. C. Lagoudas, ed., SPIE Proc. Series, Vol. 2427, 326-342, 1994.
    • (1994) SPIE Proc. Series , vol.2427 , pp. 326-342
    • Tiersten, H.F.1
  • 38
    • 0031131291 scopus 로고    scopus 로고
    • Equations for elastic plates with partially electroded piezoelectric actuators in flexure with shear deformation and rotary inertia
    • J. S. Yang, Equations for elastic plates with partially electroded piezoelectric actuators in flexure with shear deformation and rotary inertia, Journal of Intelligent Material Systems and Structures, 8, 444-451, 1997.
    • (1997) Journal of Intelligent Material Systems and Structures , vol.8 , pp. 444-451
    • Yang, J.S.1
  • 40
    • 0013262144 scopus 로고
    • Equations for a laminated piezoelectric plate
    • J. S. Yang and J. D. Yu, Equations for a laminated piezoelectric plate, Arch. Mech., 45, 653-664, 1993.
    • (1993) Arch. Mech , vol.45 , pp. 653-664
    • Yang, J.S.1    Yu, J.D.2
  • 41
    • 10844223581 scopus 로고    scopus 로고
    • Amplification of acoustic waves in laminated piezoelectric semiconductor plates
    • J. S. Yang, X. M. Yang and J. A. Turner, Amplification of acoustic waves in laminated piezoelectric semiconductor plates, Archive of Applied Mechanics, 74, 288-298, 2004.
    • (2004) Archive of Applied Mechanics , vol.74 , pp. 288-298
    • Yang, J.S.1    Yang, X.M.2    Turner, J.A.3
  • 42
    • 0014467231 scopus 로고
    • Surface waves guided by thin films
    • H. F. Tiersten, Surface waves guided by thin films, J. Appl. Phys., 40, 770-789, 1969.
    • (1969) J. Appl. Phys , vol.40 , pp. 770-789
    • Tiersten, H.F.1
  • 43
    • 0033905304 scopus 로고    scopus 로고
    • Analysis of the shear stress transferred from a partially electroded piezoelectric actuator to an elastic substrate
    • Y. J. Liu, H. Fan and J. S. Yang, Analysis of the shear stress transferred from a partially electroded piezoelectric actuator to an elastic substrate, Smart Materials and Structures, 9, 248-254, 2000.
    • (2000) Smart Materials and Structures , vol.9 , pp. 248-254
    • Liu, Y.J.1    Fan, H.2    Yang, J.S.3
  • 44
    • 0016436928 scopus 로고
    • High frequency vibrations of crystal plates under initial stresses
    • P. C. Y. Lee, Y. S. Wang and X. Markenscoff, High frequency vibrations of crystal plates under initial stresses, J. Acoust. Soc. Am., 57, 95-105, 1975.
    • (1975) J. Acoust. Soc. Am , vol.57 , pp. 95-105
    • Lee, P.C.Y.1    Wang, Y.S.2    Markenscoff, X.3
  • 46
    • 0037198070 scopus 로고    scopus 로고
    • A model of electroelastic plates under biasing fields with applications in buckling analysis
    • Y. T. Hu, J. S. Yang and Q. Jiang, A model of electroelastic plates under biasing fields with applications in buckling analysis, Int. J. of Solids and Structures, 39, 2629-2642, 2002.
    • (2002) Int. J. of Solids and Structures , vol.39 , pp. 2629-2642
    • Hu, Y.T.1    Yang, J.S.2    Jiang, Q.3
  • 47
    • 0036756571 scopus 로고    scopus 로고
    • Basic curvilinear coordinate equations of electroelastic plates under biasing fields with applications in buckling analysis
    • Y. T. Hu, C. Chen, G. Li, J. S. Yang and Q. Jiang, Basic curvilinear coordinate equations of electroelastic plates under biasing fields with applications in buckling analysis, Acta Mechanica Solida Sinica, 15, 189-200, 2002.
    • (2002) Acta Mechanica Solida Sinica , vol.15 , pp. 189-200
    • Hu, Y.T.1    Chen, C.2    Li, G.3    Yang, J.S.4    Jiang, Q.5
  • 49
    • 0016602650 scopus 로고
    • Nonlinear effects in piezoelectric quartz crystals
    • W. P. Mason and R. N. Thurston, ed., Academic Press, New York
    • J. J. Gagnepain and R. Besson, Nonlinear effects in piezoelectric quartz crystals, Physical Acoustics, vol. XI, W. P. Mason and R. N. Thurston, ed., Academic Press, New York, 1975.
    • (1975) Physical Acoustics , vol.11
    • Gagnepain, J.J.1    Besson, R.2
  • 50
  • 51
    • 0000889436 scopus 로고
    • On the higher order theory of piezoelectric crystal surfaces
    • M. C. Dokmeci, On the higher order theory of piezoelectric crystal surfaces, J. Mathematical Physics, 15, 2248-2252, 1974.
    • (1974) J. Mathematical Physics , vol.15 , pp. 2248-2252
    • Dokmeci, M.C.1
  • 52
    • 0004249165 scopus 로고
    • Kluwer, Dordrecht, the Netherlands
    • H. S. Tzou, Piezoelectric Shells, Kluwer, Dordrecht, the Netherlands, 1993.
    • (1993) Piezoelectric Shells
    • Tzou, H.S.1
  • 55
    • 0036348251 scopus 로고    scopus 로고
    • On modeling of extension and flexure response of electroelastic shells under biasing fields
    • Y. T. Hu, J. S. Yang and Q. Jiang, On modeling of extension and flexure response of electroelastic shells under biasing fields, Acta Mechanica, 156, 163-178, 2002.
    • (2002) Acta Mechanica , vol.156 , pp. 163-178
    • Hu, Y.T.1    Yang, J.S.2    Jiang, Q.3
  • 57
    • 0036540667 scopus 로고    scopus 로고
    • Boundary formulation and numerical analysis of elastic bodies with surface bounded piezoelectric films
    • J. S. Yang and Y. J. Liu, Boundary formulation and numerical analysis of elastic bodies with surface bounded piezoelectric films, Smart Materials and Structures, 11, 308-311, 2002.
    • (2002) Smart Materials and Structures , vol.11 , pp. 308-311
    • Yang, J.S.1    Liu, Y.J.2
  • 58
    • 27644582782 scopus 로고    scopus 로고
    • Frequency shifts in a piezoelectric body due to a surface mass layer with consideration of the layer stiffness
    • J. S. Yang and S. H. Guo, Frequency shifts in a piezoelectric body due to a surface mass layer with consideration of the layer stiffness, IEEE Trans, on Ultrasonics, Ferroelectrics, and Frequency Control, 52, 1200-1203, 2005.
    • (2005) IEEE Trans, on Ultrasonics, Ferroelectrics, and Frequency Control , vol.52 , pp. 1200-1203
    • Yang, J.S.1    Guo, S.H.2
  • 59
    • 8344280373 scopus 로고    scopus 로고
    • Frequency shifts in a piezoelectric body due to small amounts of additional mass on its surface
    • J. S. Yang, Frequency shifts in a piezoelectric body due to small amounts of additional mass on its surface, IEEE Trans, on Ultrasonics, Ferroelectrics, and Frequency Control, 51, 1199-1202, 2004.
    • (2004) IEEE Trans, on Ultrasonics, Ferroelectrics, and Frequency Control , vol.51 , pp. 1199-1202
    • Yang, J.S.1
  • 63
    • 84996315974 scopus 로고
    • Axially symmetric waves in elastic rods
    • R. D. Mindlin and H. D. McNiven, Axially symmetric waves in elastic rods, ASME J. Appl. Mech., 27, 145-151, 1960.
    • (1960) ASME J. Appl. Mech , vol.27 , pp. 145-151
    • Mindlin, R.D.1    McNiven, H.D.2
  • 65
    • 0016900207 scopus 로고
    • Low frequency vibrations of elastic bars
    • R. D. Mindlin, Low frequency vibrations of elastic bars, Int. J. Solids Struct., 16, 27-49, 1976.
    • (1976) Int. J. Solids Struct , vol.16 , pp. 27-49
    • Mindlin, R.D.1
  • 66
    • 0016050690 scopus 로고
    • A theory of high frequency vibrations of piezoelectric crystal bars
    • M. C. Dokmeci, A theory of high frequency vibrations of piezoelectric crystal bars, Int. J. Solids Struct., 10, 401-409, 1974.
    • (1974) Int. J. Solids Struct , vol.10 , pp. 401-409
    • Dokmeci, M.C.1
  • 70
    • 0036809959 scopus 로고    scopus 로고
    • Characterization of electroelastic beams under biasing fields with applications in buckling analysis
    • Y. T. Hu, J. S. Yang and Q. Jiang, Characterization of electroelastic beams under biasing fields with applications in buckling analysis, Archive of Applied Mechanics, 72, 439-450, 2002.
    • (2002) Archive of Applied Mechanics , vol.72 , pp. 439-450
    • Hu, Y.T.1    Yang, J.S.2    Jiang, Q.3
  • 75
    • 84884286976 scopus 로고
    • Piezoelectric transducer materials
    • H. Jaffe and D. A. Berlincourt, Piezoelectric transducer materials, Proc. of IEEE, 53, 1372-1386, 1965.
    • (1965) Proc. of IEEE , vol.53 , pp. 1372-1386
    • Jaffe, H.1    Berlincourt, D.A.2
  • 76
    • 36149014851 scopus 로고
    • Elastic and piezoelectric constants of alpha-quartz
    • R. Bechmann, Elastic and piezoelectric constants of alpha-quartz, Phys. Rev., 110, 1060-1061, 1958.
    • (1958) Phys. Rev , vol.110 , pp. 1060-1061
    • Bechmann, R.1
  • 77
    • 0018458634 scopus 로고
    • First temperature derivatives of the fundamental elastic constants of quartz
    • B. K. Sinha and H. F. Tiersten, First temperature derivatives of the fundamental elastic constants of quartz, J. Appl. Phys., 50, 2732-2739, 1979.
    • (1979) J. Appl. Phys , vol.50 , pp. 2732-2739
    • Sinha, B.K.1    Tiersten, H.F.2
  • 81
    • 84944981995 scopus 로고
    • Determination of elastic and piezoelectric constants for crystals in class (3m)
    • A. W. Warner, M. Onoe and G. A. Couqin, Determination of elastic and piezoelectric constants for crystals in class (3m), J. Acoust. Soc. Am., 42, 1223-1231, 1967.
    • (1967) J. Acoust. Soc. Am , vol.42 , pp. 1223-1231
    • Warner, A.W.1    Onoe, M.2    Couqin, G.A.3
  • 82
    • 36549094135 scopus 로고
    • Nonlinear, elastic, piezoelectric, electrostrictive, and dielectric constants of lithium niobate
    • Y. Cho and K. Yamanouchi, Nonlinear, elastic, piezoelectric, electrostrictive, and dielectric constants of lithium niobate, J. Appl. Phys., 61, 875-887, 1987.
    • (1987) J. Appl. Phys , vol.61 , pp. 875-887
    • Cho, Y.1    Yamanouchi, K.2


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