메뉴 건너뛰기




Volumn 136, Issue , 2016, Pages 45-55

Bending of a sinusoidal piezoelectric nanoplate with surface effect

Author keywords

Bending; Piezoelectric materials; Sinusoidal plate theory; Size effect; Surface effect

Indexed keywords

BENDING (FORMING); CRYSTALLOGRAPHY; ELECTRIC FIELDS; ELECTRIC POTENTIAL; NANOSTRUCTURES; PIEZOELECTRIC MATERIALS; STRESS ANALYSIS;

EID: 84944463361     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2015.09.047     Document Type: Article
Times cited : (45)

References (49)
  • 1
    • 0035975538 scopus 로고    scopus 로고
    • A piezoelectric array for sensing vibration modal coordinates
    • Sumali H., Meissner K., Cudney H.H. A piezoelectric array for sensing vibration modal coordinates. Sensor Actuat A 2001, 93:123-131.
    • (2001) Sensor Actuat A , vol.93 , pp. 123-131
    • Sumali, H.1    Meissner, K.2    Cudney, H.H.3
  • 2
    • 77954385821 scopus 로고    scopus 로고
    • Periodic shunted arrays for the control of noise radiation in an enclosure
    • Casadei F., Dozio L., Ruzzene M., Cunefare K.A. Periodic shunted arrays for the control of noise radiation in an enclosure. J Sound Vib 2010, 329:3632-3646.
    • (2010) J Sound Vib , vol.329 , pp. 3632-3646
    • Casadei, F.1    Dozio, L.2    Ruzzene, M.3    Cunefare, K.A.4
  • 3
    • 74449089050 scopus 로고    scopus 로고
    • Elastic guided wave propagation in a periodic array of multi-layered piezoelectric plates with finite cross-sections
    • Cortes D.H., Datta S.K., Mukdadi O.M. Elastic guided wave propagation in a periodic array of multi-layered piezoelectric plates with finite cross-sections. Ultrasonics 2010, 50:347-356.
    • (2010) Ultrasonics , vol.50 , pp. 347-356
    • Cortes, D.H.1    Datta, S.K.2    Mukdadi, O.M.3
  • 4
    • 77957673853 scopus 로고    scopus 로고
    • An analytical study on interfacial dissipation in piezoelectric rectangular block resonators with in-plane longitudinal-mode vibrations
    • Hao Z., Liao B. An analytical study on interfacial dissipation in piezoelectric rectangular block resonators with in-plane longitudinal-mode vibrations. Sens Actuators A 2010, 163:401-409.
    • (2010) Sens Actuators A , vol.163 , pp. 401-409
    • Hao, Z.1    Liao, B.2
  • 5
    • 33645810366 scopus 로고    scopus 로고
    • Piezoelectric nanogenerators based on zinc oxide nanowire arrays
    • Wang Z.L., Song J.H. Piezoelectric nanogenerators based on zinc oxide nanowire arrays. Science 2006, 312:242-246.
    • (2006) Science , vol.312 , pp. 242-246
    • Wang, Z.L.1    Song, J.H.2
  • 6
    • 33846990410 scopus 로고    scopus 로고
    • Generation of electricity in GaN nanorods induced by piezoelectric effect
    • Su W.S., Chen Y.F., Hsiao C.L., Tu L.W. Generation of electricity in GaN nanorods induced by piezoelectric effect. Appl Phys Lett 2007, 90:063110.
    • (2007) Appl Phys Lett , vol.90 , pp. 063110
    • Su, W.S.1    Chen, Y.F.2    Hsiao, C.L.3    Tu, L.W.4
  • 8
    • 72849133579 scopus 로고    scopus 로고
    • Piezoelectric potential gated field-effect transistor based on a free-standing ZnO wire
    • Fei P., Yeh P.H., Zhou J., Xu S., Gao Y.F., Song J.H., et al. Piezoelectric potential gated field-effect transistor based on a free-standing ZnO wire. Nano Lett 2009, 9:3435-3439.
    • (2009) Nano Lett , vol.9 , pp. 3435-3439
    • Fei, P.1    Yeh, P.H.2    Zhou, J.3    Xu, S.4    Gao, Y.F.5    Song, J.H.6
  • 9
    • 33344464265 scopus 로고    scopus 로고
    • Size dependence of Young's modulus in ZnO nanowires
    • Chen C.Q., Shi Y., Zhang Y.S., Zhu J., Yan Y.J. Size dependence of Young's modulus in ZnO nanowires. Phys Rev Lett 2006, 96:075505.
    • (2006) Phys Rev Lett , vol.96 , pp. 075505
    • Chen, C.Q.1    Shi, Y.2    Zhang, Y.S.3    Zhu, J.4    Yan, Y.J.5
  • 10
    • 38049180630 scopus 로고    scopus 로고
    • Diameter-dependent radial and tangential elastic moduli of ZnO nanowires
    • Stan G., Ciobanu C.V., Parthangal P.M., Cook R.F. Diameter-dependent radial and tangential elastic moduli of ZnO nanowires. Nano Lett 2007, 7:3691-3697.
    • (2007) Nano Lett , vol.7 , pp. 3691-3697
    • Stan, G.1    Ciobanu, C.V.2    Parthangal, P.M.3    Cook, R.F.4
  • 12
    • 79851500108 scopus 로고    scopus 로고
    • Giant piezoelectric size effects in zinc oxide and gallium nitride nanowires. A first principles investigation
    • Agrawal R., Espinosa H.D. Giant piezoelectric size effects in zinc oxide and gallium nitride nanowires. A first principles investigation. Nano Lett 2011, 11:786-790.
    • (2011) Nano Lett , vol.11 , pp. 786-790
    • Agrawal, R.1    Espinosa, H.D.2
  • 13
    • 84868266834 scopus 로고    scopus 로고
    • Surface effects on the piezoelectricity of ZnO nanowires
    • Dai S.X., Park H.S. Surface effects on the piezoelectricity of ZnO nanowires. J Mech Phys Solids 2013, 61:385-397.
    • (2013) J Mech Phys Solids , vol.61 , pp. 385-397
    • Dai, S.X.1    Park, H.S.2
  • 14
    • 0016441185 scopus 로고
    • A continuum theory of elastic material surfaces
    • Gurtin M.E., Murdoch A.I. A continuum theory of elastic material surfaces. Arch Ration Mech Anal 1975, 57:291-323.
    • (1975) Arch Ration Mech Anal , vol.57 , pp. 291-323
    • Gurtin, M.E.1    Murdoch, A.I.2
  • 15
    • 34250743139 scopus 로고    scopus 로고
    • Effects of surface elasticity and residual surface tension on the natural frequency of microbeams
    • Wang G.F., Feng X.Q. Effects of surface elasticity and residual surface tension on the natural frequency of microbeams. Appl Phys Lett 2007, 90:231904.
    • (2007) Appl Phys Lett , vol.90 , pp. 231904
    • Wang, G.F.1    Feng, X.Q.2
  • 16
    • 70349147904 scopus 로고    scopus 로고
    • Timoshenko beam model for buckling and vibration of nanowires with surface effects
    • Wang G.F., Feng X.Q. Timoshenko beam model for buckling and vibration of nanowires with surface effects. J Phys D 2009, 42:155411.
    • (2009) J Phys D , vol.42 , pp. 155411
    • Wang, G.F.1    Feng, X.Q.2
  • 17
    • 53149137876 scopus 로고    scopus 로고
    • Surface effect on the elastic behavior of static bending nanowires
    • He J., Lilley C.M. Surface effect on the elastic behavior of static bending nanowires. Nano Lett 2008, 8:1798-1802.
    • (2008) Nano Lett , vol.8 , pp. 1798-1802
    • He, J.1    Lilley, C.M.2
  • 18
    • 58149230969 scopus 로고    scopus 로고
    • Surface stress effect on bending resonance of nanowires with different boundary conditions
    • He J., Lilley C.M. Surface stress effect on bending resonance of nanowires with different boundary conditions. Appl Phys Lett 2008, 93:263108.
    • (2008) Appl Phys Lett , vol.93 , pp. 263108
    • He, J.1    Lilley, C.M.2
  • 19
    • 77954581621 scopus 로고    scopus 로고
    • Continuum models incorporating surface energy for static and dynamic response of nanoscale beams
    • Liu C., Rajapakse R.K.N.D. Continuum models incorporating surface energy for static and dynamic response of nanoscale beams. IEEE Trans Nanotechnol 2010, 9:422-431.
    • (2010) IEEE Trans Nanotechnol , vol.9 , pp. 422-431
    • Liu, C.1    Rajapakse, R.K.N.D.2
  • 20
    • 10444251955 scopus 로고    scopus 로고
    • Size-dependent nonlinear response of thin elastic films with nano-scale thickness
    • Lim C.W., He L.H. Size-dependent nonlinear response of thin elastic films with nano-scale thickness. Int J Mech Sci 2004, 46:1715-1726.
    • (2004) Int J Mech Sci , vol.46 , pp. 1715-1726
    • Lim, C.W.1    He, L.H.2
  • 21
    • 0347300631 scopus 로고    scopus 로고
    • A continuum model for size-dependent deformation of elastic films of nano-scale thickness
    • He L.H., Lim C.W., Wu B.S. A continuum model for size-dependent deformation of elastic films of nano-scale thickness. Int J Solids Struct 2004, 41:847-857.
    • (2004) Int J Solids Struct , vol.41 , pp. 847-857
    • He, L.H.1    Lim, C.W.2    Wu, B.S.3
  • 22
    • 33745082107 scopus 로고    scopus 로고
    • Thin plate theory including surface effects
    • Lu P., He L.H., Lee H.P., Lu C. Thin plate theory including surface effects. Int J Solids Struct 2006, 43:4631-4647.
    • (2006) Int J Solids Struct , vol.43 , pp. 4631-4647
    • Lu, P.1    He, L.H.2    Lee, H.P.3    Lu, C.4
  • 23
    • 58249127283 scopus 로고    scopus 로고
    • Size-dependent elastic behavior of FGM ultrathin films based on generalized refined theory
    • Lü C.F., Lim C.W., Chen W.Q. Size-dependent elastic behavior of FGM ultrathin films based on generalized refined theory. Int J Solids Struct 2009, 46:1176-1185.
    • (2009) Int J Solids Struct , vol.46 , pp. 1176-1185
    • Lü, C.F.1    Lim, C.W.2    Chen, W.Q.3
  • 24
    • 64849109176 scopus 로고    scopus 로고
    • Elastic mechanical behavior of nano-scaled FGM films incorporating surface energies
    • Lü C.F., Lim C.W., Chen W.Q. Elastic mechanical behavior of nano-scaled FGM films incorporating surface energies. Compos Sci Technol 2009, 69:1124-1130.
    • (2009) Compos Sci Technol , vol.69 , pp. 1124-1130
    • Lü, C.F.1    Lim, C.W.2    Chen, W.Q.3
  • 25
    • 77958191387 scopus 로고    scopus 로고
    • Vibration characteristics of circular nanoplates
    • Assadi A., Farshi B. Vibration characteristics of circular nanoplates. J Appl Phys 2010, 108:074312.
    • (2010) J Appl Phys , vol.108 , pp. 074312
    • Assadi, A.1    Farshi, B.2
  • 26
    • 77954198234 scopus 로고    scopus 로고
    • Size dependent dynamic analysis of nanoplates
    • Assadi A., Farshi B., Alinia-Ziazi A. Size dependent dynamic analysis of nanoplates. J Appl Phys 2010, 107:124310.
    • (2010) J Appl Phys , vol.107 , pp. 124310
    • Assadi, A.1    Farshi, B.2    Alinia-Ziazi, A.3
  • 27
    • 33645163120 scopus 로고    scopus 로고
    • Effect of surface piezoelectricity on the electromechanical behavior of a piezoelectric ring
    • Huang G.Y., Yu S.W. Effect of surface piezoelectricity on the electromechanical behavior of a piezoelectric ring. Phys Status Solidi B 2006, 243:R22-R24.
    • (2006) Phys Status Solidi B , vol.243 , pp. R22-R24
    • Huang, G.Y.1    Yu, S.W.2
  • 28
    • 79751507972 scopus 로고    scopus 로고
    • Surface effects on the electromechanical coupling and bending behaviours of piezoelectric nanowires
    • Yan Z., Jiang L.Y. Surface effects on the electromechanical coupling and bending behaviours of piezoelectric nanowires. J Phys D 2011, 44:075404.
    • (2011) J Phys D , vol.44 , pp. 075404
    • Yan, Z.1    Jiang, L.Y.2
  • 29
    • 79955795872 scopus 로고    scopus 로고
    • The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects
    • Yan Z., Jiang L.Y. The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects. Nanotechnology 2011, 22:245703.
    • (2011) Nanotechnology , vol.22 , pp. 245703
    • Yan, Z.1    Jiang, L.Y.2
  • 30
    • 84868112175 scopus 로고    scopus 로고
    • Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints
    • Yan Z., Jiang L.Y. Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints. Proc R Soc A 2012, 468:3458-3475.
    • (2012) Proc R Soc A , vol.468 , pp. 3458-3475
    • Yan, Z.1    Jiang, L.Y.2
  • 31
    • 84859330849 scopus 로고    scopus 로고
    • Surface effects on the wrinkling of piezoelectric films on compliant substrates
    • Li Y.H., Fang B., Zhang J.H., Song J.Z. Surface effects on the wrinkling of piezoelectric films on compliant substrates. J Appl Phys 2011, 110:114303.
    • (2011) J Appl Phys , vol.110 , pp. 114303
    • Li, Y.H.1    Fang, B.2    Zhang, J.H.3    Song, J.Z.4
  • 32
    • 77949841909 scopus 로고    scopus 로고
    • A theory of flexoelectricity with surface effect for elastic dielectrics
    • Shen S.P., Hu S.L. A theory of flexoelectricity with surface effect for elastic dielectrics. J Mech Phys Solids 2010, 58:665-677.
    • (2010) J Mech Phys Solids , vol.58 , pp. 665-677
    • Shen, S.P.1    Hu, S.L.2
  • 33
    • 84876147641 scopus 로고    scopus 로고
    • Two-dimensional theory of piezoelectric plates considering surface effect
    • Zhang C., Chen W.Q., Zhang Ch. Two-dimensional theory of piezoelectric plates considering surface effect. Eur J Mech A/Solids 2013, 41:50-57.
    • (2013) Eur J Mech A/Solids , vol.41 , pp. 50-57
    • Zhang, C.1    Chen, W.Q.2    Zhang, C.3
  • 34
    • 84868128414 scopus 로고    scopus 로고
    • On propagation of anti-plane shear waves in piezoelectric plates with surface effect
    • Zhang C., Chen W.Q., Zhang Ch. On propagation of anti-plane shear waves in piezoelectric plates with surface effect. Phys Lett A 2012, 376:3281-3286.
    • (2012) Phys Lett A , vol.376 , pp. 3281-3286
    • Zhang, C.1    Chen, W.Q.2    Zhang, C.3
  • 35
    • 84889681164 scopus 로고    scopus 로고
    • Size-dependent dispersion characteristics in piezoelectric nanoplates with surface effects
    • Zhang L.L., Liu J.X., Fang X.Q., Nie G.Q. Size-dependent dispersion characteristics in piezoelectric nanoplates with surface effects. Physica E 2014, 57:169-174.
    • (2014) Physica E , vol.57 , pp. 169-174
    • Zhang, L.L.1    Liu, J.X.2    Fang, X.Q.3    Nie, G.Q.4
  • 36
    • 0025725639 scopus 로고
    • An efficient standard plate theory
    • Touratier M. An efficient standard plate theory. Int J Eng Sci 1991, 29:901-916.
    • (1991) Int J Eng Sci , vol.29 , pp. 901-916
    • Touratier, M.1
  • 37
    • 0033340107 scopus 로고    scopus 로고
    • A layerwise trigonometric shear deformation theory for two layered cross-ply laminated beams
    • Shimpi R.P., Ghugal Y.M. A layerwise trigonometric shear deformation theory for two layered cross-ply laminated beams. J Reinf Plast Compos 1999, 18:1516-1542.
    • (1999) J Reinf Plast Compos , vol.18 , pp. 1516-1542
    • Shimpi, R.P.1    Ghugal, Y.M.2
  • 38
    • 0035394150 scopus 로고    scopus 로고
    • A new layerwise trigonometric shear deformation theory for two-layered cross-ply beams
    • Shimpi R.P., Ghugal Y.M. A new layerwise trigonometric shear deformation theory for two-layered cross-ply beams. Compos Sci Technol 2001, 61:1271-1283.
    • (2001) Compos Sci Technol , vol.61 , pp. 1271-1283
    • Shimpi, R.P.1    Ghugal, Y.M.2
  • 39
    • 0036534318 scopus 로고    scopus 로고
    • A zigzag model for laminated composite beams
    • Arya H., Shimpi R.P., Naik N.K. A zigzag model for laminated composite beams. Compos Struct 2002, 56:21-24.
    • (2002) Compos Struct , vol.56 , pp. 21-24
    • Arya, H.1    Shimpi, R.P.2    Naik, N.K.3
  • 40
    • 0035426608 scopus 로고    scopus 로고
    • A beam finite element based on layerwise trigonometric shear deformation theory
    • Shimpi R.P., Aynapure A.V. A beam finite element based on layerwise trigonometric shear deformation theory. Compos Struct 2001, 53:153-162.
    • (2001) Compos Struct , vol.53 , pp. 153-162
    • Shimpi, R.P.1    Aynapure, A.V.2
  • 41
    • 38849115635 scopus 로고    scopus 로고
    • A family of sinus finite elements for the analysis of rectangular laminated beams
    • Vidal P., Polit O. A family of sinus finite elements for the analysis of rectangular laminated beams. Compos Struct 2008, 84:56-72.
    • (2008) Compos Struct , vol.84 , pp. 56-72
    • Vidal, P.1    Polit, O.2
  • 42
    • 24044511137 scopus 로고    scopus 로고
    • Analysis of composite plates by trigonometric shear deformation theory and multiquadrics
    • Ferreira A.J.M., Roque C.M.C., Jorge R.M.N. Analysis of composite plates by trigonometric shear deformation theory and multiquadrics. Compos Struct 2005, 83:2225-2237.
    • (2005) Compos Struct , vol.83 , pp. 2225-2237
    • Ferreira, A.J.M.1    Roque, C.M.C.2    Jorge, R.M.N.3
  • 43
    • 23944473247 scopus 로고    scopus 로고
    • Modeling of composite and sandwich plates by a trigonometric layerwise deformation theory and radial basis functions
    • Roque C.M.C., Ferreira A.J.M., Jorge R.M.N. Modeling of composite and sandwich plates by a trigonometric layerwise deformation theory and radial basis functions. Compos B 2005, 36:559-572.
    • (2005) Compos B , vol.36 , pp. 559-572
    • Roque, C.M.C.1    Ferreira, A.J.M.2    Jorge, R.M.N.3
  • 44
    • 67349177747 scopus 로고    scopus 로고
    • Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories
    • Xiang S., Wang K., Ai Y., Sha Y., Shi H. Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories. Compos Struct 2009, 91:31-37.
    • (2009) Compos Struct , vol.91 , pp. 31-37
    • Xiang, S.1    Wang, K.2    Ai, Y.3    Sha, Y.4    Shi, H.5
  • 45
    • 28444434721 scopus 로고    scopus 로고
    • Generalized shear deformation theory for bending analysis of functionally graded plates
    • Zenkour A.M. Generalized shear deformation theory for bending analysis of functionally graded plates. Appl Math Model 2006, 30:67-84.
    • (2006) Appl Math Model , vol.30 , pp. 67-84
    • Zenkour, A.M.1
  • 46
    • 33749995482 scopus 로고    scopus 로고
    • Derivation of the generalized Young-Laplace equation of curved interfaces in nanoscaled solids
    • Chen T.Y., Chiu M.S., Weng C.N. Derivation of the generalized Young-Laplace equation of curved interfaces in nanoscaled solids. J Appl Phys 2006, 100:074308.
    • (2006) J Appl Phys , vol.100 , pp. 074308
    • Chen, T.Y.1    Chiu, M.S.2    Weng, C.N.3
  • 47
    • 77953167172 scopus 로고    scopus 로고
    • Simple geometrical explanation of Gurtin-Murdoch model of surface elasticity with clarification of its related versions
    • Ru C.Q. Simple geometrical explanation of Gurtin-Murdoch model of surface elasticity with clarification of its related versions. Sci China Phys Mech Astron 2010, 53:536-544.
    • (2010) Sci China Phys Mech Astron , vol.53 , pp. 536-544
    • Ru, C.Q.1
  • 48
    • 0036467693 scopus 로고    scopus 로고
    • On buckling of column structures with a pair of piezoelectric layers
    • Wang Q. On buckling of column structures with a pair of piezoelectric layers. Eng Struct 2002, 24:199-205.
    • (2002) Eng Struct , vol.24 , pp. 199-205
    • Wang, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.