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Volumn 171, Issue 2, 2011, Pages 370-374

Static pull-in analysis of microcantilevers based on the modified couple stress theory

Author keywords

1 Static pull in; 2 Modified couple stress theory; 3 Size effects

Indexed keywords

3-SIZE EFFECTS; CLASSICAL THEORY; CONTINUUM THEORY; COUPLE STRESS THEORY; EXPERIMENTAL OBSERVATION; MICRO-CANTILEVERS; PULL-IN; PULL-IN VOLTAGE; SIZE EFFECTS; SUBMICRON SCALE;

EID: 80055046587     PISSN: 09244247     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sna.2011.08.025     Document Type: Article
Times cited : (152)

References (40)
  • 2
    • 0011908465 scopus 로고
    • The coalescence of closely spaced drops when they are at different electric potential
    • G.I. Taylor The coalescence of closely spaced drops when they are at different electric potential Proc. R. Soc. A 306 1968 423 434
    • (1968) Proc. R. Soc. , vol.306 , pp. 423-434
    • Taylor, G.I.1
  • 3
    • 71849115697 scopus 로고    scopus 로고
    • Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method
    • M. Mojahedi, M. Moghimi Zand, and M.T. Ahmadian Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method Appl. Math. Model. 34 2010 1032 1041
    • (2010) Appl. Math. Model. , vol.34 , pp. 1032-1041
    • Mojahedi, M.1    Moghimi Zand, M.2    Ahmadian, M.T.3
  • 4
    • 0036544219 scopus 로고    scopus 로고
    • Modeling the pull-in parameters electrosatatic actuators with a novel lumped two degrees of freedom pull-in model
    • O. Bochobza-Degani, and Y. Nemirovaski Modeling the pull-in parameters electrosatatic actuators with a novel lumped two degrees of freedom pull-in model Sens. Actuators A 97-98 2002 569 578
    • (2002) Sens. Actuators A , vol.9798 , pp. 569-578
    • Bochobza-Degani, O.1    Nemirovaski, Y.2
  • 5
    • 33644892221 scopus 로고    scopus 로고
    • Numerical and analytical study on the pull-in instability of micro-structure under electrostatic loading
    • Y. Zhang, and Y. Zhao Numerical and analytical study on the pull-in instability of micro-structure under electrostatic loading Sens. Actuators A 127 2006 366 380
    • (2006) Sens. Actuators A , vol.127 , pp. 366-380
    • Zhang, Y.1    Zhao, Y.2
  • 6
    • 63549130933 scopus 로고    scopus 로고
    • A large deflection model for the pull-in analysis of electrostatically actuated microcantilever beams
    • S. Chaterjee, and G. Pohit A large deflection model for the pull-in analysis of electrostatically actuated microcantilever beams J. Sound Vib. 322 2009 969 986
    • (2009) J. Sound Vib. , vol.322 , pp. 969-986
    • Chaterjee, S.1    Pohit, G.2
  • 7
    • 4444257701 scopus 로고    scopus 로고
    • An analytical model for pull-in voltage of clamped-clamped multilayer beams
    • H. Rong, Q.A. Huang, M. Nie, and W. Li An analytical model for pull-in voltage of clamped-clamped multilayer beams Sens. Actuators A. 116 2004 15 21
    • (2004) Sens. Actuators A. , vol.116 , pp. 15-21
    • Rong, H.1    Huang, Q.A.2    Nie, M.3    Li, W.4
  • 9
    • 0032158229 scopus 로고    scopus 로고
    • Microbend test method for measuring the plasticity length scale
    • J.S. Stolken, and A.G. Evans Microbend test method for measuring the plasticity length scale J. Acta Mater. 46 1998 5109 5115
    • (1998) J. Acta Mater. , vol.46 , pp. 5109-5115
    • Stolken, J.S.1    Evans, A.G.2
  • 10
    • 0033277018 scopus 로고    scopus 로고
    • Strain gradient plasticity effect in indentation hardness of polymers
    • A.C.M. Chong, and D.C.C. Lam Strain gradient plasticity effect in indentation hardness of polymers J. Mater. Res. 14 1999 4103 4110
    • (1999) J. Mater. Res. , vol.14 , pp. 4103-4110
    • Chong, A.C.M.1    Lam, D.C.C.2
  • 11
    • 24144462483 scopus 로고    scopus 로고
    • Role of material microstructure in plate stiffness with relevance to microcantilever sensors
    • A.W. McFarland, and J.S. Colton Role of material microstructure in plate stiffness with relevance to microcantilever sensors J. Micromech. Microeng. 15 2005 1060 1067
    • (2005) J. Micromech. Microeng. , vol.15 , pp. 1060-1067
    • McFarland, A.W.1    Colton, J.S.2
  • 12
    • 0032180495 scopus 로고    scopus 로고
    • The mechanics of size-dependent indentation
    • M.R. Begley, and J.W. Hutchinson The mechanics of size-dependent indentation J. Mech. Phys. Solids 46 1998 2049 2068
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 2049-2068
    • Begley, M.R.1    Hutchinson, J.W.2
  • 13
    • 0032020971 scopus 로고    scopus 로고
    • Indentation size effects in crystalline materials: A law for strain gradient plasticity
    • W.D. Nix, and H. Gao Indentation size effects in crystalline materials: a law for strain gradient plasticity J. Mech. Phys. Solids 46 1998 411 425
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 411-425
    • Nix, W.D.1    Gao, H.2
  • 14
    • 0041629437 scopus 로고    scopus 로고
    • Material-length-scale-controlled nanoindentation size effects due to strain gradient plasticity
    • M. Zhao, W.S. Slaughter, M. Li, and S.X. Mao Material-length-scale- controlled nanoindentation size effects due to strain gradient plasticity Acta Mater. 51 2003 4461 4469
    • (2003) Acta Mater. , vol.51 , pp. 4461-4469
    • Zhao, M.1    Slaughter, W.S.2    Li, M.3    Mao, S.X.4
  • 15
    • 38749089023 scopus 로고    scopus 로고
    • Determination of strain gradient plasticity length scale for microelectronics solder alloys
    • J. Gomez, and C. Basaran Determination of strain gradient plasticity length scale for microelectronics solder alloys J. Electron. Packaging 129 2007 120 128
    • (2007) J. Electron. Packaging , vol.129 , pp. 120-128
    • Gomez, J.1    Basaran, C.2
  • 16
    • 0001996503 scopus 로고
    • Nonlocal polar elastic continua
    • A.C. Eringen Nonlocal polar elastic continua Int. J. Eng. Sci. 10 1972 1 16
    • (1972) Int. J. Eng. Sci. , vol.10 , pp. 1-16
    • Eringen, A.C.1
  • 18
    • 34447634709 scopus 로고    scopus 로고
    • Nonlocal theories for bending, buckling and vibration of beams
    • J.N. Reddy Nonlocal theories for bending, buckling and vibration of beams Int. J. Eng. Sci. 45 2007 288 307
    • (2007) Int. J. Eng. Sci. , vol.45 , pp. 288-307
    • Reddy, J.N.1
  • 19
    • 0037338249 scopus 로고    scopus 로고
    • Application of nonlocal continuum models to nanotechnology
    • J. Peddieson, G.G. Buchanan, and R.P. McNitt Application of nonlocal continuum models to nanotechnology Int. J. Eng. Sci. 41 2003 305 312
    • (2003) Int. J. Eng. Sci. , vol.41 , pp. 305-312
    • Peddieson, J.1    Buchanan, G.G.2    McNitt, R.P.3
  • 20
    • 34447623210 scopus 로고    scopus 로고
    • Investigation of the behavior of a mode-I crack in functionally graded materials by non-local theory
    • Z.G. Zhou, P.W. Zhang, and L.Z. Wu Investigation of the behavior of a mode-I crack in functionally graded materials by non-local theory Int. J. Eng. Sci. 45 2007 242 257
    • (2007) Int. J. Eng. Sci. , vol.45 , pp. 242-257
    • Zhou, Z.G.1    Zhang, P.W.2    Wu, L.Z.3
  • 21
    • 0001954361 scopus 로고
    • Couple-stresses in the theory of elasticity: I and II
    • W.T. Koiter Couple-stresses in the theory of elasticity: I and II Proc. K. Ned. Akad. Wet. B 67 1964 17 44
    • (1964) Proc. K. Ned. Akad. Wet. B , vol.67 , pp. 17-44
    • Koiter, W.T.1
  • 22
    • 33947128429 scopus 로고
    • Effects of couple-stresses in linear elasticity
    • R.D. Mindlin, and H.F. Tiersten Effects of couple-stresses in linear elasticity Arch. Ration. Mech. Anal. 11 1962 415 448
    • (1962) Arch. Ration. Mech. Anal. , vol.11 , pp. 415-448
    • Mindlin, R.D.1    Tiersten, H.F.2
  • 23
    • 0014568589 scopus 로고
    • The plane circular crack problem in the linearized couple-stress theory
    • U.B.C.O. Ejike The plane circular crack problem in the linearized couple-stress theory Int. J. Eng. Sci. 7 1969 947 961
    • (1969) Int. J. Eng. Sci. , vol.7 , pp. 947-961
    • Ejike, U.B.C.O.1
  • 24
    • 0024983779 scopus 로고
    • Torsion of a circular bar with annular groove in couple-stress theory
    • M. Kishida, and K. Sasaki Torsion of a circular bar with annular groove in couple-stress theory Int. J. Eng. Sci. 28 1990 773 781
    • (1990) Int. J. Eng. Sci. , vol.28 , pp. 773-781
    • Kishida, M.1    Sasaki, K.2
  • 25
    • 41749088535 scopus 로고    scopus 로고
    • Length scales in the static and dynamic torsion of a circular cylindrical micro-bar
    • S.J. Zhou, and Z.Q. Li Length scales in the static and dynamic torsion of a circular cylindrical micro-bar J. Shandong Univ. Technol. 31 2001 401 407
    • (2001) J. Shandong Univ. Technol. , vol.31 , pp. 401-407
    • Zhou, S.J.1    Li, Z.Q.2
  • 26
    • 79958834680 scopus 로고    scopus 로고
    • Investigation of the size effects in Timoshenko beams based on the couple stress theory
    • doi:10.1007/s00419-010-0452-5
    • M. Asghari, M.H. Kahrobaiyan, M. Rahaeifard, M.T. Ahmadian, Investigation of the size effects in Timoshenko beams based on the couple stress theory, Arch. Appl. Mech. doi:10.1007/s00419-010-0452-5.
    • Arch. Appl. Mech.
    • Asghari, M.1    Kahrobaiyan, M.H.2    Rahaeifard, M.3    Ahmadian, M.T.4
  • 27
    • 0037150391 scopus 로고    scopus 로고
    • Couple stress based strain gradient theory for elasticity
    • F. Yang, A.C.M. Chong, D.C.C. Lam, and P. Tong Couple stress based strain gradient theory for elasticity Int. J. Solid Struct. 39 2002 2731 2743
    • (2002) Int. J. Solid Struct. , vol.39 , pp. 2731-2743
    • Yang, F.1    Chong, A.C.M.2    Lam, D.C.C.3    Tong, P.4
  • 28
    • 33750597812 scopus 로고    scopus 로고
    • Bernoulli-Euler beam model based on a modified couple stress theory
    • S.K. Park, and X.L. Gao Bernoulli-Euler beam model based on a modified couple stress theory J. Micromech. Microeng. 16 2006 2355 2359
    • (2006) J. Micromech. Microeng. , vol.16 , pp. 2355-2359
    • Park, S.K.1    Gao, X.L.2
  • 29
    • 41749123679 scopus 로고    scopus 로고
    • The size-dependent natural frequency of Bernoulli-Euler micro-beams
    • S. Kong, S. Zhou, Z. Nie, and K. Wang The size-dependent natural frequency of Bernoulli-Euler micro-beams Int. J. Eng. Sci. 46 2008 427 437
    • (2008) Int. J. Eng. Sci. , vol.46 , pp. 427-437
    • Kong, S.1    Zhou, S.2    Nie, Z.3    Wang, K.4
  • 30
    • 77952668476 scopus 로고    scopus 로고
    • Size-dependent vibration characteristics of fluid-conveying microtubes
    • L. Wang, Size-dependent vibration characteristics of fluid-conveying microtubes, J. Fluids Struct., in press.
    • J. Fluids Struct
    • Wang, L.1
  • 31
    • 77349104072 scopus 로고    scopus 로고
    • Modeling and analysis of microtubules based on a modified couple stress theory
    • Y. Fu, and J. Zhang Modeling and analysis of microtubules based on a modified couple stress theory J. Phys. E 42 2010 1741 1745
    • (2010) J. Phys. e , vol.42 , pp. 1741-1745
    • Fu, Y.1    Zhang, J.2
  • 32
    • 78649629873 scopus 로고    scopus 로고
    • Investigation of the size dependent dynamic characteristics of AFM microcantilevers
    • M.H. Kahrobaiyan, M. Asghari, M. Rahaeifard, and M.T. Ahmadian Investigation of the size dependent dynamic characteristics of AFM microcantilevers Int. J. Eng. Sci. 48 2010 1985 1994
    • (2010) Int. J. Eng. Sci. , vol.48 , pp. 1985-1994
    • Kahrobaiyan, M.H.1    Asghari, M.2    Rahaeifard, M.3    Ahmadian, M.T.4
  • 33
    • 55749091952 scopus 로고    scopus 로고
    • A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
    • H.M. Ma, X.-L. Gao, and J.N. Reddy A microstructure-dependent Timoshenko beam model based on a modified couple stress theory J. Mech. Phys. Solids 56 2008 3379 3391
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 3379-3391
    • Ma, H.M.1    Gao, X.-L.2    Reddy, J.N.3
  • 34
    • 78649633224 scopus 로고    scopus 로고
    • Nonlinear non-classical microscale beams: Static bending, postbuckling and free vibration
    • 10.1016/j.ijengsci.2010.04.010
    • W. Xia, L. Wang, and L. Yin Nonlinear non-classical microscale beams: static bending, postbuckling and free vibration Int. J. Eng. Sci. 2010 10.1016/j.ijengsci.2010.04.010
    • (2010) Int. J. Eng. Sci.
    • Xia, W.1    Wang, L.2    Yin, L.3
  • 35
    • 43049091562 scopus 로고    scopus 로고
    • Pull-in instability of nano-switches using nonlocal elasticity theory
    • J. Yang, X. Jia, and S. Kitipornchai Pull-in instability of nano-switches using nonlocal elasticity theory J. Phys. D: Appl. Phys. 41 2008 035103
    • (2008) J. Phys. D: Appl. Phys. , vol.41 , pp. 035103
    • Yang, J.1    Jia, X.2    Kitipornchai, S.3
  • 36
    • 0018029736 scopus 로고
    • Dynamic micromechanics on silicon: Techniques and devices
    • K. Petersen Dynamic micromechanics on silicon: techniques and devices IEEE Trans. Electron Dev. 25 1978 1241 1250
    • (1978) IEEE Trans. Electron Dev. , vol.25 , pp. 1241-1250
    • Petersen, K.1
  • 40
    • 0031168990 scopus 로고    scopus 로고
    • M-TEST: A test chip for mems material property measurement using electrostatically actuated test structures
    • P.M. Osterberg, and S.D. Senturia M-TEST: a test chip for mems material property measurement using electrostatically actuated test structures J. Microelectromech. Syst. 6 1997 107 118
    • (1997) J. Microelectromech. Syst. , vol.6 , pp. 107-118
    • Osterberg, P.M.1    Senturia, S.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.