메뉴 건너뛰기




Volumn 81, Issue 1, 2014, Pages

A theory of flexoelectric membranes and effective properties of heterogeneous membranes

Author keywords

[No Author keywords available]

Indexed keywords

EFFECTIVE PROPERTY; ELASTIC RESPONSE; ELECTROMECHANICAL PROPERTY; FLEXOELECTRIC; FLEXOELECTRICITY; HETEROGENEOUS MEMBRANES; MECHANOTRANSDUCTION; MICRO-STRUCTURAL;

EID: 84887112323     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.4023978     Document Type: Article
Times cited : (64)

References (60)
  • 1
    • 77952988075 scopus 로고    scopus 로고
    • Electricity generation based on one-dimensional group-iii nitride nanomaterials
    • Wang, X., Song, J., Zhang, F., He, C., Zheng, H., and Wang, Z. K., 2010, "Electricity Generation Based on One-Dimensional Group-III Nitride Nanomaterials," Adv. Mater., 22, pp. 2155-2158.
    • (2010) Adv. Mater. , vol.22 , pp. 2155-2158
    • Wang, X.1    Song, J.2    Zhang, F.3    He, C.4    Zheng, H.5    Wang, Z.K.6
  • 5
    • 0038029350 scopus 로고
    • Electrical, optical and elastic properties of diamond type crystals
    • Mashkevich, V. S., and Tolpygo, K. B., 1957, "Electrical, Optical and Elastic Properties of Diamond Type Crystals," Sov. Phys. JETP, 5(3), p. 435-439.
    • (1957) Sov. Phys. JETP , vol.5 , Issue.3 , pp. 435-439
    • Mashkevich, V.S.1    Tolpygo, K.B.2
  • 6
    • 33746234432 scopus 로고
    • Nonlocal piezoelectric effect
    • Bursian, E. V., and Trunov, N. N., 1984, "Nonlocal Piezoelectric Effect," Sov. Physics Solid State, 16(4), pp. 760-762.
    • (1984) Sov. Physics Solid State , vol.16 , Issue.4 , pp. 760-762
    • Bursian, E.V.1    Trunov, N.N.2
  • 7
    • 0041792532 scopus 로고
    • Piezoelectricity and flexoelectricity in crystalline dielectrics
    • Tagantsev, A. K., 1986, "Piezoelectricity and Flexoelectricity in Crystalline Dielectrics," Phys. Rev. B, 34, pp. 5883-5889.
    • (1986) Phys. Rev. B , vol.34 , pp. 5883-5889
    • Tagantsev, A.K.1
  • 8
    • 84963177620 scopus 로고
    • Electric polarization in crystals and its response to thermal and elastic perturbations
    • Tagantsev, A. K., 1991, "Electric Polarization in Crystals and Its Response to Thermal and Elastic Perturbations," Phase Trans., 35, pp. 119-203.
    • (1991) Phase Trans. , vol.35 , pp. 119-203
    • Tagantsev, A.K.1
  • 9
    • 0014664541 scopus 로고
    • Piezoelectric effects in liquid crystals
    • Meyer, R. B., "Piezoelectric Effects in Liquid Crystals," Phys. Rev. Lett., 22, 918-921 (1969).
    • (1969) Phys. Rev. Lett , vol.22 , pp. 918-921
    • Meyer, R.B.1
  • 10
    • 0039073413 scopus 로고
    • Liquid-crystalline curvature elasticity
    • Schmidt, D., Schadt, M., and Helfrich, W., 1972, "Liquid-Crystalline Curvature Elasticity," Naturforsch, Z, A 27A, p. 277.
    • (1972) Naturforsch, Z, A , vol.27 A , pp. 277
    • Schmidt, D.1    Schadt, M.2    Helfrich, W.3
  • 12
    • 32944471134 scopus 로고    scopus 로고
    • Flexoelectric effects: Charge separation in insulating solids subjected to elastic strain gradients
    • Cross, L. E., 2006, "Flexoelectric Effects: Charge Separation in Insulating Solids Subjected to Elastic Strain Gradients," J. Mater. Sci., 41, pp. 53-63.
    • (2006) J. Mater. Sci. , vol.41 , pp. 53-63
    • Cross, L.E.1
  • 13
    • 35248896347 scopus 로고    scopus 로고
    • On the possibility of piezoelectric nanocomposites without using piezoelectric materials
    • Sharma, N. D., Maranganti, R., and Sharma, P., 2007, "On the Possibility of Piezoelectric Nanocomposites Without Using Piezoelectric Materials," J. Mech. Phys. Solid., 55, pp. 2328-2350.
    • (2007) J. Mech. Phys. Solid. , vol.55 , pp. 2328-2350
    • Sharma, N.D.1    Maranganti, R.2    Sharma, P.3
  • 14
    • 70349656451 scopus 로고    scopus 로고
    • Novel electromechanical phenomena at the nanoscale: Phenomenological theory and atomistic modeling
    • Tagantsev, A. K., Meunier, V., and Sharma, P., 2009, "Novel Electromechanical Phenomena at the Nanoscale: Phenomenological Theory and Atomistic Modeling," MRS Bulletin, 34(9), 643-647.
    • (2009) MRS Bulletin , vol.34 , Issue.9 , pp. 643-647
    • Tagantsev, A.K.1    Meunier, V.2    Sharma, P.3
  • 15
    • 0035945157 scopus 로고    scopus 로고
    • Large flexoelectric polarization in ceramic lead magnesium niobate
    • Ma, W., and Cross, L. E., 2001, "Large Flexoelectric Polarization in Ceramic Lead Magnesium Niobate," Appl. Phys. Lett., 79(19), pp. 4420-4422.
    • (2001) Appl. Phys. Lett. , vol.79 , Issue.19 , pp. 4420-4422
    • Ma, W.1    Cross, L.E.2
  • 16
    • 79956052386 scopus 로고    scopus 로고
    • Flexoelectric polarization in barium strontium titanate in the paraelectric state
    • Ma, W., and Cross, L. E., 2002, "Flexoelectric Polarization in Barium Strontium Titanate in the Paraelectric State," Appl. Phys. Lett., 81(19), pp. 3440-3442.
    • (2002) Appl. Phys. Lett. , vol.81 , Issue.19 , pp. 3440-3442
    • Ma, W.1    Cross, L.E.2
  • 17
    • 0037643301 scopus 로고    scopus 로고
    • Strain-gradient induced electric polarization in lead zirconate titanate ceramics
    • Ma, W., and Cross, L. E., 2003, "Strain-Gradient Induced Electric Polarization in Lead Zirconate Titanate Ceramics," Appl. Phys. Lett., 82(19), pp. 3923-3925.
    • (2003) Appl. Phys. Lett. , vol.82 , Issue.19 , pp. 3923-3925
    • Ma, W.1    Cross, L.E.2
  • 18
    • 33745033752 scopus 로고    scopus 로고
    • Flexoelectricity of barium titanate
    • Ma, W., and Cross, L. E., 2006, "Flexoelectricity of Barium Titanate," Appl. Phys. Lett., 88, p. 232902.
    • (2006) Appl. Phys. Lett. , vol.88 , pp. 232902
    • Ma, W.1    Cross, L.E.2
  • 19
    • 2142766885 scopus 로고    scopus 로고
    • The effect of flexoelectricity on the dielectric properties of inhomogeneously strained ferroelectric thin films
    • Catalan, G., Sinnamon, L. J., and Gregg, J. M., 2004, The Effect of Flexoelectricity on the Dielectric Properties of Inhomogeneously Strained Ferroelectric Thin Films," J. Phys. Condens. Matt., 16(13), pp. 2253-2264.
    • (2004) J. Phys. Condens. Matt. , vol.16 , Issue.13 , pp. 2253-2264
    • Catalan, G.1    Sinnamon, L.J.2    Gregg, J.M.3
  • 21
    • 33746791877 scopus 로고    scopus 로고
    • Experimental studies of the converse flexoelectric effect induced by inhomogeneous electric field in a barium strontium titanate composition
    • Fu, J. Y., Zhu, W., Li, N., Cross, L. E., 2006, "Experimental Studies of the Converse Flexoelectric Effect Induced by Inhomogeneous Electric Field in a Barium Strontium Titanate Composition," J. Appl. Phys., 100, p. 024112.
    • (2006) J. Appl. Phys. , vol.100 , pp. 024112
    • Fu, J.Y.1    Zhu, W.2    Li, N.3    Cross, L.E.4
  • 22
    • 35648992974 scopus 로고    scopus 로고
    • Gradient scaling phenomenon in microsize flexoelectric piezoelectric composites
    • Fu, J. Y., Zhu, W., Li, N., Smith, N. B., and Cross, E. L., 2007, "Gradient Scaling Phenomenon in Microsize Flexoelectric Piezoelectric Composites," Appl. Phys. Lett., 91, p. 182910.
    • (2007) Appl. Phys. Lett. , vol.91 , pp. 182910
    • Fu, J.Y.1    Zhu, W.2    Li, N.3    Smith, N.B.4    Cross, E.L.5
  • 23
    • 66349129566 scopus 로고    scopus 로고
    • Spontaneous flexoelectric/flexomagnetic effect in nanoferroics
    • Eliseev, E. A., Morozovska, A. N., Glinchuk, M. D., and Blinc, R., 2009, "Spontaneous Flexoelectric/Flexomagnetic Effect in Nanoferroics," Phys. Rev. B, 79, p. 165433.
    • (2009) Phys. Rev. B , vol.79 , pp. 165433
    • Eliseev, E.A.1    Morozovska, A.N.2    Glinchuk, M.D.3    Blinc, R.4
  • 24
    • 82455195023 scopus 로고    scopus 로고
    • Linear magnetoelectric coupling and ferroelectricity induced by the flexomagnetic effect in ferroics
    • Eliseev, E. A., Glinchuk, M. D., Khist, V., Skorokhod, V. V., Blinc, R., and Morozovska, A. N., 2011, "Linear Magnetoelectric Coupling and Ferroelectricity Induced by the Flexomagnetic Effect in Ferroics," Phys. Rev. B, 84(17), p. 174112.
    • (2011) Phys. Rev. B , vol.84 , Issue.17 , pp. 174112
    • Eliseev, E.A.1    Glinchuk, M.D.2    Khist, V.3    Skorokhod, V.V.4    Blinc, R.5    Morozovska, A.N.6
  • 25
    • 70249094262 scopus 로고    scopus 로고
    • Atomistic determination of flexoelectric properties of crystalline dielectrics
    • Maranganti, R., and Sharma, P., 2009, "Atomistic Determination of Flexoelectric Properties of Crystalline Dielectrics," Phys. Rev. B, 80, p. 054109.
    • (2009) Phys. Rev. B , vol.80 , pp. 054109
    • Maranganti, R.1    Sharma, P.2
  • 26
    • 41549112911 scopus 로고    scopus 로고
    • Enhanced size-dependent piezoelectricity and elasticity in nanostructures due to the flexoelectric effect
    • Majdoub, M. S., Sharma, P., and Cagin, T., 2008, "Enhanced Size-Dependent Piezoelectricity and Elasticity in Nanostructures Due to the Flexoelectric Effect," Phys. Rev. B, 77, p. 125424.
    • (2008) Phys. Rev. B , vol.77 , pp. 125424
    • Majdoub, M.S.1    Sharma, P.2    Cagin, T.3
  • 27
    • 54049085720 scopus 로고    scopus 로고
    • Dramatic enhancement in energy harvesting for a narrow range of dimensions in piezoelectric nanostructures
    • Majdoub, M. S., Sharma, P., and Cagin, T., 2009, "Dramatic Enhancement in Energy Harvesting for a Narrow Range of Dimensions in Piezoelectric Nanostructures," Phys. Rev. B, 78, p. 121407(R).
    • (2009) Phys. Rev. B , vol.78
    • Majdoub, M.S.1    Sharma, P.2    Cagin, T.3
  • 28
    • 77955822736 scopus 로고    scopus 로고
    • Piezoelectric thin-film superlattices without using piezoelectric materials
    • Sharma, N. D., Landis, C. M., and Sharma, P., 2010, "Piezoelectric Thin-Film Superlattices Without Using Piezoelectric Materials," J. Appl. Phys., 108, p. 024304.
    • (2010) J. Appl. Phys. , vol.108 , pp. 024304
    • Sharma, N.D.1    Landis, C.M.2    Sharma, P.3
  • 29
    • 78249261202 scopus 로고    scopus 로고
    • Flexoelectric properties of ferroelectrics and the nanoindentation size- effect
    • Gharbi, M., Sun, Z. H., White, K., El-Borgi, S., and Sharma, P., 2011, "Flexoelectric Properties of Ferroelectrics and the Nanoindentation Size- Effect," Int. J. Solid. Struct., 48, p. 249.
    • (2011) Int. J. Solid. Struct. , vol.48 , pp. 249
    • Gharbi, M.1    Sun, Z.H.2    White, K.3    El-Borgi, S.4    Sharma, P.5
  • 30
    • 37749010507 scopus 로고    scopus 로고
    • Electronic flexoelectricity in low- dimensional systems
    • Kalinin, S. V., and Meunier, V., 2008, "Electronic Flexoelectricity in Low- Dimensional Systems," Phys. Rev. B, 77(3), p. 033403.
    • (2008) Phys. Rev. B , vol.77 , Issue.3 , pp. 033403
    • Kalinin, S.V.1    Meunier, V.2
  • 31
    • 0037014781 scopus 로고    scopus 로고
    • Curvature induced polarization in carbon nanoshells
    • Dumitrica, T., Landis, C. M., and Yakobson, B. I., 2002, "Curvature Induced Polarization in Carbon Nanoshells," Chem. Phys. Lett., 360(1-2), pp. 182-188.
    • (2002) Chem. Phys. Lett. , vol.360 , Issue.1-2 , pp. 182-188
    • Dumitrica, T.1    Landis, C.M.2    Yakobson, B.I.3
  • 32
    • 77957746620 scopus 로고    scopus 로고
    • Converse piezoelectric responses in nonpiezoelectric materials implemented via asymmetric configurations of electrodes
    • Baskaran, S., Thiruvannamalai, S., Heo, H., Lee, H. J., Francis, S. M., Ramachandran, N., and Fu, J. Y. 2010, "Converse Piezoelectric Responses in Nonpiezoelectric Materials Implemented via Asymmetric Configurations of Electrodes," J. Appl. Phys., 108, p. 064116.
    • (2010) J. Appl. Phys. , vol.108 , pp. 064116
    • Baskaran, S.1    Thiruvannamalai, S.2    Heo, H.3    Lee, H.J.4    Francis, S.M.5    Ramachandran, N.6    Fu, J.Y.7
  • 33
    • 84855932985 scopus 로고    scopus 로고
    • Coaxing graphene to be piezolectric
    • Chandratre, S., and Sharma, P., 2012, "Coaxing Graphene to be Piezolectric," Appl. Phys. Lett., 100, p. 023114.
    • (2012) Appl. Phys. Lett. , vol.100 , pp. 023114
    • Chandratre, S.1    Sharma, P.2
  • 34
    • 66049105519 scopus 로고    scopus 로고
    • Unusual flexoelectric effect in two-dimensional noncentrosymmetric sp2-bonded crystals
    • Naumov, I., Bratkovsky, A. M., and Ranjan, V., 2009, "Unusual Flexoelectric Effect in Two-Dimensional Noncentrosymmetric sp2-Bonded Crystals," Phys. Rev. Lett., 102(21), p. 217601.
    • (2009) Phys. Rev. Lett. , vol.102 , Issue.21 , pp. 217601
    • Naumov, I.1    Bratkovsky, A.M.2    Ranjan, V.3
  • 35
    • 0030231717 scopus 로고    scopus 로고
    • Flexoelectricity and photoflexoelectricity in model and biomembranes
    • Petrov, A. G., Spassova, M., and Fendler, J. H., 1996, "Flexoelectricity and Photoflexoelectricity in Model and Biomembranes," Thin Solid Films, 284, p. 845.
    • (1996) Thin Solid Films , vol.284 , pp. 845
    • Petrov, A.G.1    Spassova, M.2    Fendler, J.H.3
  • 36
    • 0031393461 scopus 로고    scopus 로고
    • Mechanosensitivity of cell membranes, role of liquid crystalline lipid matrix liquid crystals
    • Petrov, A. G., 1998, "Mechanosensitivity of Cell Membranes, Role of Liquid Crystalline Lipid Matrix Liquid Crystals," Chem. Struct., 3319, p, 306.
    • (1998) Chem. Struct. , vol.3319 , pp. 306
    • Petrov, A.G.1
  • 37
    • 28844454624 scopus 로고    scopus 로고
    • Determination of piezoelectric and flexoelectric polarization in ferroelectric liquid crystals
    • Kuczynski, W., and Hoffmann, J., 2005, "Determination of Piezoelectric and Flexoelectric Polarization in Ferroelectric Liquid Crystals," Phys. Rev. E, 72(4), p. 041701.
    • (2005) Phys. Rev. e , vol.72 , Issue.4 , pp. 041701
    • Kuczynski, W.1    Hoffmann, J.2
  • 38
    • 33745099237 scopus 로고    scopus 로고
    • Electromechanical models of the outer hair cell composite membrane
    • Spector, A., Deo, N., Grosh, K., Ratnanather, J., and Raphael, R., 2005, "Electromechanical Models of the Outer Hair Cell Composite Membrane," J. Memb. Biol., 209(2-3), pp. 135-152.
    • (2005) J. Memb. Biol. , vol.209 , Issue.2-3 , pp. 135-152
    • Spector, A.1    Deo, N.2    Grosh, K.3    Ratnanather, J.4    Raphael, R.5
  • 40
    • 84855675394 scopus 로고    scopus 로고
    • Living systems and liquid crystals
    • Jewell, S. A., 2011, "Living Systems and Liquid Crystals," Liq. Cryst., 38(11-12), pp. 1699-1714.
    • (2011) Liq. Cryst. , vol.38 , Issue.11-12 , pp. 1699-1714
    • Jewell, S.A.1
  • 42
    • 0037133733 scopus 로고    scopus 로고
    • Flexoelectricity of model and living membranes
    • Petrov, A. G., 2002, "Flexoelectricity of Model and Living Membranes," Biochim. Biophys. Acta, 1561, pp. 1-25.
    • (2002) Biochim. Biophys. Acta , vol.1561 , pp. 1-25
    • Petrov, A.G.1
  • 43
    • 33646585746 scopus 로고    scopus 로고
    • Electricity and mechanics of biomembrane systems: Flexoelectricity in living membranes
    • Petrov, A. G., 2006, "Electricity and Mechanics of Biomembrane Systems: Flexoelectricity in Living Membranes," Anal. Chim. Acta, 568(1-2), pp. 70-83.
    • (2006) Anal. Chim. Acta , vol.568 , Issue.1-2 , pp. 70-83
    • Petrov, A.G.1
  • 44
    • 34047177463 scopus 로고    scopus 로고
    • Current Topics in Membranes, Mechanosensitive Channels, O. P. Hamil, ed., Elsevier/Academic Press, Galveston, TX
    • Petrov, A. G., 2007, "Flexoelectricity and Mechanotransduction, " Current Topics in Membranes, Vol. 58: Mechanosensitive Channels, O. P. Hamil, ed., Elsevier/Academic Press, Galveston, TX, pp. 121-150.
    • (2007) Flexoelectricity and Mechanotransduction , vol.58 , pp. 121-150
    • Petrov, A.G.1
  • 45
    • 0034123343 scopus 로고    scopus 로고
    • A membrane bending model of outer hair cell electromotility
    • Raphael, R. M., Popel, A. S., and Brownell, W. E., 2000, "A Membrane Bending Model of Outer Hair Cell Electromotility," Biophys. J., 78(6), pp. 2844-2862.
    • (2000) Biophys. J. , vol.78 , Issue.6 , pp. 2844-2862
    • Raphael, R.M.1    Popel, A.S.2    Brownell, W.E.3
  • 47
    • 77950573416 scopus 로고    scopus 로고
    • Piezo- and flexoelectric membrane materials underlie fast biological motors in the ear
    • Brenemann, K. D., and Rabbitt, R. D., 2009, "Piezo- and Flexoelectric Membrane Materials Underlie Fast Biological Motors in the Ear," Mater. Res. Soc. Symp. Proc., 1186E, pp. 1186-JJ06-04.
    • (2009) Mater. Res. Soc. Symp. Proc. , vol.1186 E
    • Brenemann, K.D.1    Rabbitt, R.D.2
  • 48
    • 69949094244 scopus 로고    scopus 로고
    • Analysis of nonlinear electrostatic membranes
    • Steigmann, D. J., 2009, "Analysis of Nonlinear Electrostatic Membranes," J. Elast., 97(1), pp. 97-101.
    • (2009) J. Elast. , vol.97 , Issue.1 , pp. 97-101
    • Steigmann, D.J.1
  • 50
    • 0001654235 scopus 로고
    • The elastic dielectric
    • Toupin, R. A., 1956, "The Elastic Dielectric," J. Rational Mech. Anal., 5, pp. 849-914.
    • (1956) J. Rational Mech. Anal. , vol.5 , pp. 849-914
    • Toupin, R.A.1
  • 52
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion and related problems
    • Eshelby, J. D., 1957, "The Determination of the Elastic Field of an Ellipsoidal Inclusion and Related Problems," Proc. R. Soc. London, Ser. A, 241, pp. 376-396.
    • (1957) Proc. R. Soc. London, Ser. A , vol.241 , pp. 376-396
    • Eshelby, J.D.1
  • 53
    • 0001857341 scopus 로고
    • Elastic inclusions and inhomogeneities
    • I. N. Sneddon and R. Hill, eds., North Holland, Amsterdam
    • Eshelby, J. D., 1961, "Elastic Inclusions and Inhomogeneities," Progress in Solid Mechanics, II, I. N. Sneddon and R. Hill, eds., North Holland, Amsterdam, pp. 89-140.
    • (1961) Progress in Solid Mechanics, II , pp. 89-140
    • Eshelby, J.D.1
  • 54
    • 0033691697 scopus 로고    scopus 로고
    • The micromechanics theory of classical plates: A congruous estimate of overall elastic stiffness
    • Li, S., 2000, "The Micromechanics Theory of Classical Plates: A Congruous Estimate of Overall Elastic Stiffness," Int. J. Solid. Struct., 37(40), pp. 5599-5628.
    • (2000) Int. J. Solid. Struct. , vol.37 , Issue.40 , pp. 5599-5628
    • Li, S.1
  • 55
    • 32444444940 scopus 로고    scopus 로고
    • Magnetostrictive composites in the dilute limit
    • Liu, L. P., James, R. D., and Leo, P. H., 2006, "Magnetostrictive Composites in the Dilute Limit," J. Mech. Phys. Solids, 54(5), pp. 951-974.
    • (2006) J. Mech. Phys. Solids , vol.54 , Issue.5 , pp. 951-974
    • Liu, L.P.1    James, R.D.2    Leo, P.H.3
  • 56
    • 84874078826 scopus 로고    scopus 로고
    • Polynomial eigenstress inducing polynomial strain of the same degree in an ellipsoidal inclusion and its applications
    • Liu, L. P., 2013, "Polynomial Eigenstress Inducing Polynomial Strain of the Same Degree in an Ellipsoidal Inclusion and Its Applications," Math. Mech. Solid, 18(2), pp. 168-180.
    • (2013) Math. Mech. Solid , vol.18 , Issue.2 , pp. 168-180
    • Liu, L.P.1
  • 58
    • 34347391686 scopus 로고    scopus 로고
    • Periodic inclusion - Matrix microstructures with constant field inclusions
    • Liu, L. P., James, R. D., and Leo, P. H., 2007, "Periodic Inclusion - Matrix Microstructures With Constant Field Inclusions," Met. Mat. Trans. A, 38, pp. 781-787.
    • (2007) Met. Mat. Trans. A , vol.38 , pp. 781-787
    • Liu, L.P.1    James, R.D.2    Leo, P.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.