메뉴 건너뛰기




Volumn 94, Issue , 2016, Pages 316-335

Topology optimization of piezoelectric nanostructures

Author keywords

Surface elasticity; Surface piezoelectricity; Topology optimization; ZnO nanostructures

Indexed keywords


EID: 84973369555     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2016.03.027     Document Type: Article
Times cited : (77)

References (44)
  • 1
    • 79851500108 scopus 로고    scopus 로고
    • Giant piezoelectric size effects in zinc oxide and gallium nitride nanowires. A first principles investigation
    • R. Agrawal, and H.D. Espinosa Giant piezoelectric size effects in zinc oxide and gallium nitride nanowires. A first principles investigation Nano Lett. 11 2011 786 790
    • (2011) Nano Lett. , vol.11 , pp. 786-790
    • Agrawal, R.1    Espinosa, H.D.2
  • 2
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • G. Allaire, F. Jouve, and A.M. Toader Structural optimization using sensitivity analysis and a level-set method J. Comput. Phys. 194 2004 363 393
    • (2004) J. Comput. Phys. , vol.194 , pp. 363-393
    • Allaire, G.1    Jouve, F.2    Toader, A.M.3
  • 4
    • 77954757726 scopus 로고    scopus 로고
    • A level set approach for optimal design of smart energy harvesters
    • S. Chen, S. Gonella, W. Chen, and W.K. Liu A level set approach for optimal design of smart energy harvesters Comput. Methods Appl. Mech. Eng. 199 2010 2532 2543
    • (2010) Comput. Methods Appl. Mech. Eng. , vol.199 , pp. 2532-2543
    • Chen, S.1    Gonella, S.2    Chen, W.3    Liu, W.K.4
  • 6
    • 84868266834 scopus 로고    scopus 로고
    • Surface effects on the piezoelectricity of zno nanowires
    • S. Dai, and H.S. Park Surface effects on the piezoelectricity of zno nanowires J. Phys. Mech. Solids 61 2013
    • (2013) J. Phys. Mech. Solids , vol.61
    • Dai, S.1    Park, H.S.2
  • 7
    • 82555192865 scopus 로고    scopus 로고
    • Surface piezoelectricity: Size-effects in nanostructures and the emergence of piezoelectricity in non-piezoelectric materials
    • S. Dai, M. Gharbi, P. Sharma, and H.S. Park Surface piezoelectricity: size-effects in nanostructures and the emergence of piezoelectricity in non-piezoelectric materials J. Appl. Phys. 110 2011 104305
    • (2011) J. Appl. Phys. , vol.110 , pp. 104305
    • Dai, S.1    Gharbi, M.2    Sharma, P.3    Park, H.S.4
  • 8
    • 84865581193 scopus 로고    scopus 로고
    • A review of mechanical and electromechanical properties of piezoelectric nanowires
    • H.D. Espinosa, R.A. Bernal, and M. Minary-Jolandan A review of mechanical and electromechanical properties of piezoelectric nanowires Adv. Mater. 24 2012 4656 4675
    • (2012) Adv. Mater. , vol.24 , pp. 4656-4675
    • Espinosa, H.D.1    Bernal, R.A.2    Minary-Jolandan, M.3
  • 9
    • 78649652762 scopus 로고    scopus 로고
    • An extended finite element/level set method to study surface effects on the mechanical behavior and properties of nanomaterials
    • M. Farsad, F.J. Vernerey, and H.S. Park An extended finite element/level set method to study surface effects on the mechanical behavior and properties of nanomaterials Int. J. Numer. Methods Eng. 84 2010 1466 1489
    • (2010) Int. J. Numer. Methods Eng. , vol.84 , pp. 1466-1489
    • Farsad, M.1    Vernerey, F.J.2    Park, H.S.3
  • 10
    • 0016441185 scopus 로고
    • A continuum theory of elastic material surfaces
    • M.E. Gurtin, and A.I. Murdoch A continuum theory of elastic material surfaces Arch. Ration. Mech. Anal. 57 1975 291 323
    • (1975) Arch. Ration. Mech. Anal. , vol.57 , pp. 291-323
    • Gurtin, M.E.1    Murdoch, A.I.2
  • 11
    • 0039494889 scopus 로고    scopus 로고
    • A general theory of curved deformable interfaces in solids at equilibrium
    • M.E. Gurtin, J. Weissmller, and F. Larché A general theory of curved deformable interfaces in solids at equilibrium Philos. Mag. 75 1998 1093 1109
    • (1998) Philos. Mag. , vol.75 , pp. 1093-1109
    • Gurtin, M.E.1    Weissmller, J.2    Larché, F.3
  • 12
    • 84872079233 scopus 로고    scopus 로고
    • First-principles based multiscale model of piezoelectric nanowires with surface effects
    • M.-T. Hoang, J. Yvonnet, A. Mitrushchenkov, and G. Chambaud First-principles based multiscale model of piezoelectric nanowires with surface effects J. Appl. Phys. 113 2013
    • (2013) J. Appl. Phys. , vol.113
    • Hoang, M.-T.1    Yvonnet, J.2    Mitrushchenkov, A.3    Chambaud, G.4
  • 13
    • 68349144718 scopus 로고    scopus 로고
    • An electromechanical finite element model for piezoelectric energy harvester plates
    • C.D.M. Junior, A. Erturk, and D.J. Inman An electromechanical finite element model for piezoelectric energy harvester plates J. Sound Vib. 327 2009 9 25
    • (2009) J. Sound Vib. , vol.327 , pp. 9-25
    • Junior, C.D.M.1    Erturk, A.2    Inman, D.J.3
  • 14
    • 84876513639 scopus 로고    scopus 로고
    • XFEM schemes for level set based structural optimization
    • L. Li, M.Y. Wang, and P. Wei XFEM schemes for level set based structural optimization Front. Mech. Eng. 7 4 2012 335 356
    • (2012) Front. Mech. Eng. , vol.7 , Issue.4 , pp. 335-356
    • Li, L.1    Wang, M.Y.2    Wei, P.3
  • 16
    • 0033349534 scopus 로고    scopus 로고
    • A finite element method for crack growth without remeshing
    • N. Moes, J. Dolbow, and T. Belytschko A finite element method for crack growth without remeshing Int. J. Numer. Methods Eng. 46 1999 133 150
    • (1999) Int. J. Numer. Methods Eng. , vol.46 , pp. 133-150
    • Moes, N.1    Dolbow, J.2    Belytschko, T.3
  • 18
    • 84864049143 scopus 로고    scopus 로고
    • Finite size effect on the piezoelectric properties of zno nanobelts: A molecular dynamics approach
    • K. Momeni, G.M. Odegard, and R.S. Yassar Finite size effect on the piezoelectric properties of zno nanobelts: a molecular dynamics approach Acta Mater. 60 2012
    • (2012) Acta Mater. , vol.60
    • Momeni, K.1    Odegard, G.M.2    Yassar, R.S.3
  • 19
    • 84864049143 scopus 로고    scopus 로고
    • Finite size effect on the piezoelectric properties of zno nanobelts: A molecular dynamics approach
    • K. Momeni, G.M. Odegard, and R.S. Yassar Finite size effect on the piezoelectric properties of zno nanobelts: a molecular dynamics approach Acta Mater. 60 2012 5117 5124
    • (2012) Acta Mater. , vol.60 , pp. 5117-5124
    • Momeni, K.1    Odegard, G.M.2    Yassar, R.S.3
  • 20
    • 84973395240 scopus 로고    scopus 로고
    • Design of piezoelectric energy harvesting devices and laminate structures by applying topology optimization, modeling, signal processing, and control for smart structures
    • Nakasone, P., Silva, E., 2009. Design of piezoelectric energy harvesting devices and laminate structures by applying topology optimization, modeling, signal processing, and control for smart structures. Proc. SPIE 728601-728611.
    • (2009) Proc. SPIE 728601-728611
    • Nakasone, P.1    Silva, E.2
  • 21
    • 84885860908 scopus 로고    scopus 로고
    • Detection of flaws in piezoelectric structures using extended FEM
    • S.S. Nanthakumar, T. Lahmer, and T. Rabczuk Detection of flaws in piezoelectric structures using extended FEM Int. J. Numer. Methods Eng. 96 2013 373 389
    • (2013) Int. J. Numer. Methods Eng. , vol.96 , pp. 373-389
    • Nanthakumar, S.S.1    Lahmer, T.2    Rabczuk, T.3
  • 22
    • 84897497704 scopus 로고    scopus 로고
    • Detection of multiple flaws in piezoelectric structures using XFEM and level sets
    • S.S. Nanthakumar, T. Lahmer, and T. Rabczuk Detection of multiple flaws in piezoelectric structures using XFEM and level sets Comput. Methods Appl. Mech. Eng. 275 2014 98 112
    • (2014) Comput. Methods Appl. Mech. Eng. , vol.275 , pp. 98-112
    • Nanthakumar, S.S.1    Lahmer, T.2    Rabczuk, T.3
  • 23
    • 84924366466 scopus 로고    scopus 로고
    • Detection of material interfaces using a regularized level set method in piezoelectric structures
    • S.S. Nanthakumar, T. Lahmer, X. Zhuang, G. Zi, and T. Rabczuk Detection of material interfaces using a regularized level set method in piezoelectric structures Inverse Probl. Sci. Eng 24 1 2016 153 176 10.1080/17415977.2015.1017485
    • (2016) Inverse Probl. Sci. Eng , vol.24 , Issue.1 , pp. 153-176
    • Nanthakumar, S.S.1    Lahmer, T.2    Zhuang, X.3    Zi, G.4    Rabczuk, T.5
  • 24
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: Algorithms based on the Hamilton-Jacobi formulation
    • S.J. Osher, and J.A. Sethian Fronts propagating with curvature dependent speed: algorithms based on the Hamilton-Jacobi formulation J. Comput. Phys. 79 1988 12 49
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.J.1    Sethian, J.A.2
  • 25
    • 34848821681 scopus 로고    scopus 로고
    • Advances in energy harvesting using low profile piezoelectric transducers
    • S. Priya Advances in energy harvesting using low profile piezoelectric transducers J. Electroceram. 19 2007 167 184
    • (2007) J. Electroceram. , vol.19 , pp. 167-184
    • Priya, S.1
  • 27
    • 70350413725 scopus 로고    scopus 로고
    • Design of piezoelectric energy harvesting systems: A topology optimization approach based on multilayer plates and shells
    • C.J. Rupp, A. Evgrafov, k. Maute, and M.L. Dunn Design of piezoelectric energy harvesting systems: a topology optimization approach based on multilayer plates and shells J. Intell. Mater. Syst. Struct. 16 2009 1923 1939
    • (2009) J. Intell. Mater. Syst. Struct. , vol.16 , pp. 1923-1939
    • Rupp, C.J.1    Evgrafov, A.2    Maute, K.3    Dunn, M.L.4
  • 28
    • 57349150943 scopus 로고    scopus 로고
    • Design of piezoelectric transducers using topology optimization
    • E.C.N. Silva, and N. Kikuchi Design of piezoelectric transducers using topology optimization J. Electroceram. 19 2007 167 184
    • (2007) J. Electroceram. , vol.19 , pp. 167-184
    • Silva, E.C.N.1    Kikuchi, N.2
  • 29
    • 2442709343 scopus 로고    scopus 로고
    • A review of power harvesting from vibration using piezoelectric materials
    • H.A. Sodano, D.J. Inman, and G. Park A review of power harvesting from vibration using piezoelectric materials Shock Vib. Dig. 36 2004 197 205
    • (2004) Shock Vib. Dig. , vol.36 , pp. 197-205
    • Sodano, H.A.1    Inman, D.J.2    Park, G.3
  • 30
    • 0035860267 scopus 로고    scopus 로고
    • Modeling holes and inclusions by level sets in the extended finite-element method
    • N. Sukumar, D.L. Chopp, N. Moes, and T. Belytschko Modeling holes and inclusions by level sets in the extended finite-element method Comput. Methods Appl. Mech. Eng. 190 2001 6183 6200
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 6183-6200
    • Sukumar, N.1    Chopp, D.L.2    Moes, N.3    Belytschko, T.4
  • 31
    • 71049183426 scopus 로고    scopus 로고
    • Effective electromechanical coupling coefficients of piezoelectric adaptive structures: Critical evaluation and optimization
    • M.A. Trinidade, and A. Benjeddou Effective electromechanical coupling coefficients of piezoelectric adaptive structures: critical evaluation and optimization Mech. Adv. Mater. Struct. 16 2009 210 223
    • (2009) Mech. Adv. Mater. Struct. , vol.16 , pp. 210-223
    • Trinidade, M.A.1    Benjeddou, A.2
  • 32
    • 2542563495 scopus 로고    scopus 로고
    • A finite element model for the static and dynamic analysis of a piezoelectric bimorph
    • S.Y. Wang A finite element model for the static and dynamic analysis of a piezoelectric bimorph Int. J. Solids Struct. 41 2004 4075 4096
    • (2004) Int. J. Solids Struct. , vol.41 , pp. 4075-4096
    • Wang, S.Y.1
  • 33
    • 84862535668 scopus 로고    scopus 로고
    • Surface effects on the electroelastic responses of a thin piezoelectric plate with nanoscale thickness
    • S.Y. Wang Surface effects on the electroelastic responses of a thin piezoelectric plate with nanoscale thickness J. Phys. D: Appl. Phys. 45 2012 255401
    • (2012) J. Phys. D: Appl. Phys. , vol.45 , pp. 255401
    • Wang, S.Y.1
  • 34
    • 33645810366 scopus 로고    scopus 로고
    • Piezoelectric nanogenerators based on zinc oxide nanowire arrays
    • Z.L. Wang, and J. Song Piezoelectric nanogenerators based on zinc oxide nanowire arrays Science 312 2006 242 246
    • (2006) Science , vol.312 , pp. 242-246
    • Wang, Z.L.1    Song, J.2
  • 35
    • 33645278655 scopus 로고    scopus 로고
    • Radial basis functions and level set method for structural topology optimization
    • M.Y. Wang, and S.Y. Wang Radial basis functions and level set method for structural topology optimization Int. J. Numer. Methods Eng. 65 2006 2060 2090
    • (2006) Int. J. Numer. Methods Eng. , vol.65 , pp. 2060-2090
    • Wang, M.Y.1    Wang, S.Y.2
  • 36
    • 33846252014 scopus 로고    scopus 로고
    • An extended level set method for shape and topology optimization
    • S.Y. Wang, K.M. Lim, B.C. Khoo, and M.Y. Wang An extended level set method for shape and topology optimization J. Comput. Phys. 221 2007 395 421
    • (2007) J. Comput. Phys. , vol.221 , pp. 395-421
    • Wang, S.Y.1    Lim, K.M.2    Khoo, B.C.3    Wang, M.Y.4
  • 37
    • 84879687429 scopus 로고    scopus 로고
    • Topology optimization of a cantilevered piezoelectric energy harvester using stress norm constraints
    • F. Wein, M. Kaltenbacher, and M. Stingl Topology optimization of a cantilevered piezoelectric energy harvester using stress norm constraints Struct. Multidiscip. Optim. 48 2013 173 185
    • (2013) Struct. Multidiscip. Optim. , vol.48 , pp. 173-185
    • Wein, F.1    Kaltenbacher, M.2    Stingl, M.3
  • 38
    • 0346847275 scopus 로고
    • Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
    • H. Wendland Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree Adv. Comput. Math. 4.1 1995 389 396
    • (1995) Adv. Comput. Math. , vol.41 , pp. 389-396
    • Wendland, H.1
  • 40
    • 79751507972 scopus 로고    scopus 로고
    • Surface effects on the electromechanical coupling and bending behaviours of piezoelectric nanowires
    • Z. Yan, and L. Jiang Surface effects on the electromechanical coupling and bending behaviours of piezoelectric nanowires J. Phys. D: Appl. Phys. 44 2011 075404
    • (2011) J. Phys. D: Appl. Phys. , vol.44 , pp. 075404
    • Yan, Z.1    Jiang, L.2
  • 41
    • 79955795872 scopus 로고    scopus 로고
    • The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects
    • Z. Yan, and L.Y. Jiang The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects Nanotechnology 22 2011 245703
    • (2011) Nanotechnology , vol.22 , pp. 245703
    • Yan, Z.1    Jiang, L.Y.2
  • 42
    • 43249087452 scopus 로고    scopus 로고
    • An xfem/level set approach to modelling surface/interface effects and to computing the size-dependent effective properties of nanocomposites
    • J. Yvonnet, H.L. Quang, and Q.C. He An xfem/level set approach to modelling surface/interface effects and to computing the size-dependent effective properties of nanocomposites Comput. Mech. 42 2008 119 131
    • (2008) Comput. Mech. , vol.42 , pp. 119-131
    • Yvonnet, J.1    Quang, H.L.2    He, Q.C.3
  • 43
    • 2342507053 scopus 로고    scopus 로고
    • Piezoelectric characterization of individual zinc oxide nanobelt probed by piezoresponse force microscope
    • M.H. Zhao, Z.L. Wang, and S.X. Mao Piezoelectric characterization of individual zinc oxide nanobelt probed by piezoresponse force microscope Nanoletters 4 2004 587 590
    • (2004) Nanoletters , vol.4 , pp. 587-590
    • Zhao, M.H.1    Wang, Z.L.2    Mao, S.X.3
  • 44
    • 59449100173 scopus 로고    scopus 로고
    • Topology optimization of energy harvesting devices using piezoelectric materials
    • B. Zheng, C. Chang, and H. Gea Topology optimization of energy harvesting devices using piezoelectric materials Struct. Multidiscip. Optim. 38 1 2009 17 23
    • (2009) Struct. Multidiscip. Optim. , vol.38 , Issue.1 , pp. 17-23
    • Zheng, B.1    Chang, C.2    Gea, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.