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Volumn 166, Issue 1-2, 2010, Pages 77-90

The role of electric field gradient in modeling elastic ferroelectrics

Author keywords

Dipole defects; Elastic ferroelectrics; Electric field gradient; Electric quadrupole; Phase field; Point charge defects

Indexed keywords

DIPOLE DEFECTS; ELASTIC FERROELECTRICS; ELECTRIC FIELD GRADIENT; ELECTRIC QUADRUPOLES; PHASE FIELDS; POINT CHARGE;

EID: 77956394301     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-010-9494-5     Document Type: Conference Paper
Times cited : (6)

References (41)
  • 1
    • 0035121448 scopus 로고    scopus 로고
    • Influence of dipolar defects on switching behavior in ferroelectrics
    • Ahluwalja R, Cao W (2000) Influence of dipolar defects on switching behavior in ferroelectrics. Phys Rev B 63
    • (2000) Phys Rev B , vol.63
    • Ahluwalja, R.1    Cao, W.2
  • 2
    • 0001361323 scopus 로고
    • Elastic, piezoelectric, and dielectric constants of polarized barium titanate ceramics and some applications of the piezoelectric equations
    • 10.1121/1.1908324 1956ASAJ.28.347B
    • R Bechmann 1956 Elastic, piezoelectric, and dielectric constants of polarized barium titanate ceramics and some applications of the piezoelectric equations J Acoust Soc Am 28 347 350 10.1121/1.1908324 1956ASAJ...28..347B
    • (1956) J Acoust Soc Am , vol.28 , pp. 347-350
    • Bechmann, R.1
  • 3
    • 0027743818 scopus 로고
    • Model of ferroelectric fatigue due to defect domain interactions
    • C Brennan 1993 Model of ferroelectric fatigue due to defect domain interactions Ferroelectrics 150 199 208
    • (1993) Ferroelectrics , vol.150 , pp. 199-208
    • Brennan, C.1
  • 4
    • 0000692827 scopus 로고
    • Landau theory of thin ferroelectric films
    • 10.1080/10584589508012571
    • C Brennan 1995 Landau theory of thin ferroelectric films Integr Ferroelectrics 8 335 346 10.1080/10584589508012571
    • (1995) Integr Ferroelectrics , vol.8 , pp. 335-346
    • Brennan, C.1
  • 5
    • 1442285898 scopus 로고    scopus 로고
    • Large electrostrictive actuation of barium titanate single crystals
    • E Burcsu G Ravichandran K Bhattacharya 2004 Large electrostrictive actuation of barium titanate single crystals J Mech Phys Solids 52 843 846
    • (2004) J Mech Phys Solids , vol.52 , pp. 843-846
    • Burcsu, E.1    Ravichandran, G.2    Bhattacharya, K.3
  • 6
    • 0002389785 scopus 로고    scopus 로고
    • Theory of tetragonal twin structures in ferroelectric perovskites with a first-order phase transition
    • 10.1103/PhysRevB.44.5 1991PhRvB.44.5C
    • W Cao LE Cross 2004 Theory of tetragonal twin structures in ferroelectric perovskites with a first-order phase transition Phys Rev B 44 5 12 10.1103/PhysRevB.44.5 1991PhRvB..44....5C
    • (2004) Phys Rev B , vol.44 , pp. 5-12
    • Cao, W.1    Cross, L.E.2
  • 7
    • 0036036465 scopus 로고    scopus 로고
    • Phase field models for microstructure evolution
    • 1:CAS:528:DC%2BD38Xos1Gjurk%3D 10.1146/annurev.matsci.32.112001.132041
    • LQ Chen 2002 Phase field models for microstructure evolution Annu Rev Mater Res 32 113 140 1:CAS:528:DC%2BD38Xos1Gjurk%3D 10.1146/annurev.matsci.32. 112001.132041
    • (2002) Annu Rev Mater Res , vol.32 , pp. 113-140
    • Chen, L.Q.1
  • 8
    • 4544273819 scopus 로고
    • Constitutive equations for elastic dielectrics
    • 0351.73117 10.1016/0020-7462(76)90017-2
    • KL Chowdhury PG Glockner 1976 Constitutive equations for elastic dielectrics Int J Nonlinear Mech 11 315 324 0351.73117 10.1016/0020-7462(76) 90017-2
    • (1976) Int J Nonlinear Mech , vol.11 , pp. 315-324
    • Chowdhury, K.L.1    Glockner, P.G.2
  • 9
  • 10
    • 84876319126 scopus 로고    scopus 로고
    • Hysteresis in piezoelectric and ferroelectric materials
    • I. Mayergoyz and G.Bertotti (eds); Elsevier
    • Damjanovic D (2005) Hysteresis in piezoelectric and ferroelectric materials. The science of hysteresis, vol 3; I. Mayergoyz and G.Bertotti (eds); Elsevier
    • (2005) The Science of Hysteresis , vol.3
    • Damjanovic, D.1
  • 11
    • 0001452873 scopus 로고
    • 1951, ibid., 42, 1065; 1954, Phil Mag Suppl, 3, 85
    • Devonshire AF (1949) Phil Mag, 40, 1040; 1951, ibid., 42, 1065; 1954, Phil Mag Suppl, 3, 85
    • (1949) Phil Mag , vol.40 , pp. 1040
    • Devonshire, A.F.1
  • 12
    • 0039108244 scopus 로고    scopus 로고
    • A General Theory for elastic dielectrics-Part I. The vectorial approach
    • 10.1016/S0020-7462(98)00054-7
    • EP Hadjigeorgiou VK Kalpakides CV Massalas 1999 A General Theory for elastic dielectrics-Part I. The vectorial approach Int J Non-linear Mech 34 831 841 10.1016/S0020-7462(98)00054-7
    • (1999) Int J Non-linear Mech , vol.34 , pp. 831-841
    • Hadjigeorgiou, E.P.1    Kalpakides, V.K.2    Massalas, C.V.3
  • 13
    • 0039700406 scopus 로고    scopus 로고
    • A General Theory for elastic dielectrics-Part II. The variational approach
    • 10.1016/S0020-7462(98)00069-9
    • EP Hadjigeorgiou VK Kalpakides CV Massalas 1999 A General Theory for elastic dielectrics-Part II. The variational approach Int J Non-linear Mech 34 967 980 10.1016/S0020-7462(98)00069-9
    • (1999) Int J Non-linear Mech , vol.34 , pp. 967-980
    • Hadjigeorgiou, E.P.1    Kalpakides, V.K.2    Massalas, C.V.3
  • 14
    • 0015127350 scopus 로고
    • Theory of multipoles in classical electromagnetism
    • 0223.31012 10.1016/0020-7225(71)90075-9
    • CB Kafadar 1971 Theory of multipoles in classical electromagnetism Int J Eng Sci 9 831 853 0223.31012 10.1016/0020-7225(71)90075-9
    • (1971) Int J Eng Sci , vol.9 , pp. 831-853
    • Kafadar, C.B.1
  • 15
    • 0027149063 scopus 로고
    • Tiersten's theory of thermoelectroelasticity: An extension
    • 0763.73047 10.1016/0020-7225(93)90072-3 1192949
    • VK Kalpakidis CV Massalas 1993 Tiersten's theory of thermoelectroelasticity: an extension Int J Eng Sci 31 157 164 0763.73047 10.1016/0020-7225(93)90072-3 1192949
    • (1993) Int J Eng Sci , vol.31 , pp. 157-164
    • Kalpakidis, V.K.1    Massalas, C.V.2
  • 16
    • 0029304434 scopus 로고
    • A variational principle for elastic dielectrics with quadrupole polarization
    • 0899.73571 10.1016/0020-7225(94)00111-V 1317634
    • VK Kalpakidis EP Hadjigeorgiou CV Massalas 1995 A variational principle for elastic dielectrics with quadrupole polarization Int J Eng Sci 33 793 801 0899.73571 10.1016/0020-7225(94)00111-V 1317634
    • (1995) Int J Eng Sci , vol.33 , pp. 793-801
    • Kalpakidis, V.K.1    Hadjigeorgiou, E.P.2    Massalas, C.V.3
  • 17
    • 59349102797 scopus 로고    scopus 로고
    • Continuum modeling of domain wall interactions with dislocations in ferroelectric crystals
    • 10.1016/j.ijsolstr.2008.11.021
    • A Kontsos CM Landis 2009 Continuum modeling of domain wall interactions with dislocations in ferroelectric crystals Int J Solids Struct 46 1491 1498 10.1016/j.ijsolstr.2008.11.021
    • (2009) Int J Solids Struct , vol.46 , pp. 1491-1498
    • Kontsos, A.1    Landis, C.M.2
  • 18
    • 0004569532 scopus 로고    scopus 로고
    • Travelling wave solutions of a nonlinear reaction-advection equation
    • 0921.92024 10.1007/s002850050152 1687395
    • K Lika TG Hallam 1999 Travelling wave solutions of a nonlinear reaction-advection equation J Math Biol 38 346 358 0921.92024 10.1007/s002850050152 1687395
    • (1999) J Math Biol , vol.38 , pp. 346-358
    • Lika, K.1    Hallam, T.G.2
  • 19
    • 14644388865 scopus 로고    scopus 로고
    • Dipole alignment and dielectric susceptibility of defective ferroelectric: Monte-Carlo simulation, Comput
    • 1:CAS:528:DC%2BD2MXit1Crsrg%3D
    • JM Liu KF Wang ST Lau HLW Chan CL Choy 2005 Dipole alignment and dielectric susceptibility of defective ferroelectric: Monte-Carlo simulation, Comput Mater Sci 33 66 73 1:CAS:528:DC%2BD2MXit1Crsrg%3D
    • (2005) Mater Sci , vol.33 , pp. 66-73
    • Liu, J.M.1    Wang, K.F.2    Lau, S.T.3    Chan, H.L.W.4    Choy, C.L.5
  • 20
    • 0001739013 scopus 로고
    • Polarization gradient in elastic dielectrics
    • 0159.57001 10.1016/0020-7683(68)90079-6
    • RD Mindlin 1968 Polarization gradient in elastic dielectrics Int J Solids Struct 4 637 642 0159.57001 10.1016/0020-7683(68)90079-6
    • (1968) Int J Solids Struct , vol.4 , pp. 637-642
    • Mindlin, R.D.1
  • 21
    • 0014603089 scopus 로고
    • Continuum and lattice theories of influence of electromechanical coupling on capacitance of thin dielectric films
    • 10.1016/0020-7683(69)90053-5
    • RD Mindlin 1969 Continuum and lattice theories of influence of electromechanical coupling on capacitance of thin dielectric films Int J Solids Struct 5 1197 1208 10.1016/0020-7683(69)90053-5
    • (1969) Int J Solids Struct , vol.5 , pp. 1197-1208
    • Mindlin, R.D.1
  • 22
    • 41449101383 scopus 로고    scopus 로고
    • Phase field simulation of domain structures in ferroelectric materials within the context of inhomogeneity evolution
    • 10.1007/s10704-007-9153-7
    • R Muller D Gross D Schrade BX Xu 2007 Phase field simulation of domain structures in ferroelectric materials within the context of inhomogeneity evolution Int J Fract 147 173 180 10.1007/s10704-007-9153-7
    • (2007) Int J Fract , vol.147 , pp. 173-180
    • Muller, R.1    Gross, D.2    Schrade, D.3    Xu, B.X.4
  • 24
    • 34547676608 scopus 로고    scopus 로고
    • Domain evolution in ferroelectric materials: A continuum phase field model and finite element implementation
    • 1173.74329 10.1016/j.cma.2007.05.010
    • D Schrade R Mueller BX Xu D Gross 2007 Domain evolution in ferroelectric materials: a continuum phase field model and finite element implementation Comput Meth Appl Eng 196 4365 4374 1173.74329 10.1016/j.cma.2007.05.010
    • (2007) Comput Meth Appl Eng , vol.196 , pp. 4365-4374
    • Schrade, D.1    Mueller, R.2    Xu, B.X.3    Gross, D.4
  • 25
    • 33749447296 scopus 로고    scopus 로고
    • Interaction of domain walls with defects in ferroelectric materials
    • 10.1016/j.mechmat.2006.04.002
    • D Schrade R Mueller D Gross T Utschig Ya Shur V DC Lupascu 2007 Interaction of domain walls with defects in ferroelectric materials Mech Mater 39 161 174 10.1016/j.mechmat.2006.04.002
    • (2007) Mech Mater , vol.39 , pp. 161-174
    • Schrade, D.1    Mueller, R.2    Gross, D.3    Utschig, T.4    Shur, Ya.5    Lupascu, D.C.6
  • 26
    • 0001473005 scopus 로고    scopus 로고
    • Oxygen-vacancy ordering as a fatigue mechanism in perovskite ferroelectrics
    • 1:CAS:528:DC%2BD3cXktV2nu70%3D 10.1063/1.126786 2000ApPhL.76.3801S
    • JF Scott M Dawber 2000 Oxygen-vacancy ordering as a fatigue mechanism in perovskite ferroelectrics Appl Phys Lett 76 3801 3803 1:CAS:528: DC%2BD3cXktV2nu70%3D 10.1063/1.126786 2000ApPhL..76.3801S
    • (2000) Appl Phys Lett , vol.76 , pp. 3801-3803
    • Scott, J.F.1    Dawber, M.2
  • 27
    • 33845227062 scopus 로고    scopus 로고
    • Continuum thermodynamics of ferroelectric domain evolution: Theory, finite element implementation, and application to domain wall pinning
    • 05560696 1:CAS:528:DC%2BD28Xht12ktb7E 10.1016/j.jmps.2006.07.006 2287644 2007JMPSo.55.280S
    • Y Su CM Landis 2007 Continuum thermodynamics of ferroelectric domain evolution: theory, finite element implementation, and application to domain wall pinning J Mech Phys Solids 55 280 305 05560696 1:CAS:528:DC%2BD28Xht12ktb7E 10.1016/j.jmps.2006.07.006 2287644 2007JMPSo..55..280S
    • (2007) J Mech Phys Solids , vol.55 , pp. 280-305
    • Su, Y.1    Landis, C.M.2
  • 28
    • 49649148539 scopus 로고
    • On the nonlinear equations of thermo-electroelasticity
    • 0225.73082 10.1016/0020-7225(71)90062-0 285178
    • HF Tiersten 1971 On the nonlinear equations of thermo-electroelasticity Int J Eng Sci 9 587 604 0225.73082 10.1016/0020-7225(71)90062-0 285178
    • (1971) Int J Eng Sci , vol.9 , pp. 587-604
    • Tiersten, H.F.1
  • 29
    • 0001654235 scopus 로고
    • The elastic dielectric
    • 81074
    • RA Toupin 1956 The elastic dielectric J Ration Mech Anal 5 849 915 81074
    • (1956) J Ration Mech Anal , vol.5 , pp. 849-915
    • Toupin, R.A.1
  • 30
    • 51249161936 scopus 로고
    • How multipole electric moments enter into macroscopic Maxwell equations
    • Trimarco C (1993) How multipole electric moments enter into macroscopic Maxwell equations. Il Nuovo Cimento, vol 109 B, N.5
    • (1993) Il Nuovo Cimento , vol.109
    • Trimarco, C.1
  • 31
    • 1642478986 scopus 로고    scopus 로고
    • Phase field simulations of ferroelectric/ferroelastic polarization switching
    • 1:CAS:528:DC%2BD2cXmtFagtQ%3D%3D 10.1016/j.actamat.2003.10.011
    • J Wang SQ Shi LQ Chen Y Li TY Zhang 2004 Phase field simulations of ferroelectric/ferroelastic polarization switching Acta Mater 52 749 764 1:CAS:528:DC%2BD2cXmtFagtQ%3D%3D 10.1016/j.actamat.2003.10.011
    • (2004) Acta Mater , vol.52 , pp. 749-764
    • Wang, J.1    Shi, S.Q.2    Chen, L.Q.3    Li, Y.4    Zhang, T.Y.5
  • 32
    • 2442588457 scopus 로고    scopus 로고
    • On the physics of ferroelectrics
    • 1:CAS:528:DC%2BD2cXlslamtrs%3D 10.3184/003685003783238653
    • JF Webb 2003 On the physics of ferroelectrics Sci Progress 86 203 234 1:CAS:528:DC%2BD2cXlslamtrs%3D 10.3184/003685003783238653
    • (2003) Sci Progress , vol.86 , pp. 203-234
    • Webb, J.F.1
  • 35
    • 33947237698 scopus 로고    scopus 로고
    • Electric field gradient effects in an anti-plane circular inclusion in polarized ceramics
    • 1149.74335 1:CAS:528:DC%2BD2sXht1Cnt78%3D 10.1098/rspa.2006.1711 2006RSPSA.462.3511Y
    • JS Yang HG Zhou JY Li 2006 Electric field gradient effects in an anti-plane circular inclusion in polarized ceramics Proc R Soc A 462 3511 3522 1149.74335 1:CAS:528:DC%2BD2sXht1Cnt78%3D 10.1098/rspa.2006.1711 2006RSPSA.462.3511Y
    • (2006) Proc R Soc A , vol.462 , pp. 3511-3522
    • Yang, J.S.1    Zhou, H.G.2    Li, J.Y.3
  • 36
    • 0001675575 scopus 로고    scopus 로고
    • Direct observation of pinning and bowing of a single ferroelectric domain wall
    • 1:CAS:528:DyaK1MXjtF2gu7s%3D 10.1103/PhysRevLett.82.4106 1999PhRvL.82.4106Y
    • TJ Yang G Venkatraman PJ Swart U Mohideen 1999 Direct observation of pinning and bowing of a single ferroelectric domain wall Phys Rev Lett 82 20 4106 4109 1:CAS:528:DyaK1MXjtF2gu7s%3D 10.1103/PhysRevLett.82.4106 1999PhRvL..82.4106Y
    • (1999) Phys Rev Lett , vol.82 , Issue.20 , pp. 4106-4109
    • Yang, T.J.1    Venkatraman, G.2    Swart, P.J.3    Mohideen, U.4
  • 37
    • 4544267690 scopus 로고    scopus 로고
    • Electric field gradient effects in anti-plane problems of polarized ceramics
    • 1079.74023 10.1016/j.ijsolstr.2004.05.018
    • XM Yang YT Hu JS Yang 2004 Electric field gradient effects in anti-plane problems of polarized ceramics Int J Solids Struct 41 6801 6811 1079.74023 10.1016/j.ijsolstr.2004.05.018
    • (2004) Int J Solids Struct , vol.41 , pp. 6801-6811
    • Yang, X.M.1    Hu, Y.T.2    Yang, J.S.3
  • 38
    • 0036576526 scopus 로고    scopus 로고
    • Monte-Carlo simulation of the switching behavior in ferroelectrics with dipolar defects
    • 10.1016/S0038-1098(02)00140-0
    • WU Yin-Zhong Yao Dong-Lai Li Zhen-Ya 2002 Monte-Carlo simulation of the switching behavior in ferroelectrics with dipolar defects Solid State Commun 122 395 400 10.1016/S0038-1098(02)00140-0
    • (2002) Solid State Commun , vol.122 , pp. 395-400
    • Yin-Zhong, W.U.1    Yao, D.2    Li, Z.3
  • 39
    • 54049100699 scopus 로고    scopus 로고
    • Effects of fatigue and damage on the hysteresis of ferroelectric ceramics
    • 1:CAS:528:DC%2BD1cXht1WktbjJ 10.1007/s00542-008-0691-3
    • S Yu L Yu 2009 Effects of fatigue and damage on the hysteresis of ferroelectric ceramics Microsyst Technol 15 33 38 1:CAS:528:DC%2BD1cXht1WktbjJ 10.1007/s00542-008-0691-3
    • (2009) Microsyst Technol , vol.15 , pp. 33-38
    • Yu, S.1    Yu, L.2
  • 40
    • 33645229380 scopus 로고    scopus 로고
    • 3 crystals: Implication for a unified microscopic explanation of ferroelectric aging
    • 10.1103/PhysRevB.73.094121 2006PhRvB.73i4121Z
    • 3 crystals: implication for a unified microscopic explanation of ferroelectric aging Phys Rev B 73 094121 10.1103/PhysRevB.73.094121 2006PhRvB..73i4121Z
    • (2006) Phys Rev B , vol.73 , pp. 094121
    • Zhang, L.1    Ren, X.B.2
  • 41
    • 9344227936 scopus 로고    scopus 로고
    • A computational model of ferroelectric domains. Part I: Model formulation and domain switching
    • 1:CAS:528:DC%2BD2cXptlylsbw%3D 10.1016/j.actamat.2004.09.016
    • W Zhang K Bhattacharya 2005 A computational model of ferroelectric domains. Part I: model formulation and domain switching Acta Mater 53 185 198 1:CAS:528:DC%2BD2cXptlylsbw%3D 10.1016/j.actamat.2004.09.016
    • (2005) Acta Mater , vol.53 , pp. 185-198
    • Zhang, W.1    Bhattacharya, K.2


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