Yang J.， An introduction to the theory of piezoelectricity .pdf

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1、ANINTRODUCTIONTOTHETHEORYOFPIEZOELECTRICITYAdvancesinMechanicsandMathematicsVolume9SeriesEditors:DavidY.GaoVirginiaPolytechnicInstituteandStateUniversity,U.S.A.RayW.OgdenUniversityofGlasgow,U.K.AdvisoryEditors:I.EkelandUniversityofBritishColumbia,CanadaK.R.RajagopalTexasA&MUniversity,U.S.A

2、.T.RatiuEcolePolytechnique,SwitzerlandW.YangTsinghuaUniversity,P.R.ChinaANINTRODUCTIONTOTHETHEORYOFPIEZOELECTRICITYbyJIASHIYANGDepartmentofEngineeringMechanicsUniversityofNebraska-Lincoln,U.S.A.SpringereBookISBN:0-387-23546-9PrintISBN:0-387-23573-6©2005SpringerScience+BusinessMedia,Inc.Pri

3、nt©2005SpringerScience+BusinessMedia,Inc.BostonAllrightsreservedNopartofthiseBookmaybereproducedortransmittedinanyformorbyanymeans,electronic,mechanical,recording,orotherwise,withoutwrittenconsentfromthePublisherCreatedintheUnitedStatesofAmericaVisitSpringer'seBookstoreat:http://ebooks.spr

4、ingerlink.comandtheSpringerGlobalWebsiteOnlineat:http://www.springeronline.comContentsForewordxiPrefacexiii11CHAPTERONE1NONLINEARELECTROELASTICITYFORSTRONGFIELDS11.DEFORMATIONANDMOTIONOFACONTINUUM12.GLOBALBALANCELAWS92.1Polarization102.2PiezoelectricEffects102.3ElectricBodyForce,Couple,and

5、Power112.4BalanceLaws123.LOCALBALANCELAWS134.MATERIALFORMOFLOCALBALANCELAWS185.CONSTITUTIVERELATIONS216.INITIAL-BOUNDARY-VALUEPROBLEM247.VARIATIONALFORMULATION268.TOTALSTRESSFORMULATION28231CHAPTERTWO31LINEARPIEZOELECTRICITYFORINFINITESIMALFIELDS311.LINEARIZATION312.BOUNDARY-VALUEPROBLEM35

6、2.1Displacement-PotentialFormulation352.2Boundary-ValueProblem352.3PrincipleofSuperposition372.4Compatibility383.VARIATIONALPRINCIPLES393.1Hamilton’sPrinciple393.2MixedVariationalPrinciples403.3ConservationLaws414.UNIQUENESS424.1Poynting’sTheorem424.2EnergyIntegral43vi4.3Uniqueness435.OTHE

7、RFORMULATIONS445.1Four-VectorFormulation445.2VectorPotentialFormulation456.CURVILINEARCOORDINATES466.1CylindricalCoordinates466.2SphericalCoordinates477.COMPACTMATRIXNOTATION488.POLARIZEDCERAMICS509.QUARTZANDLANGASITE5310.LITHIUMNIOBATEANDLITHIUMTANTALATE57359