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Volumn 35, Issue 5, 2011, Pages 2053-2067

Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory

Author keywords

Bending; Differential quadrature; Euler Bernoulli beam; Microtubules; Nonlocal elasticity

Indexed keywords

BENDING; DIFFERENTIAL QUADRATURE; EULER-BERNOULLI BEAM; MICROTUBULES; NONLOCAL ELASTICITY;

EID: 78751634987     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2010.11.004     Document Type: Article
Times cited : (327)

References (48)
  • 2
    • 55249127503 scopus 로고    scopus 로고
    • Relevance of Timoshenko-beam model to microtubules of low shear modulus
    • Shi Y.J., Guo W.L., Ru C.Q. Relevance of Timoshenko-beam model to microtubules of low shear modulus. Physica E 2008, 41:213-219.
    • (2008) Physica E , vol.41 , pp. 213-219
    • Shi, Y.J.1    Guo, W.L.2    Ru, C.Q.3
  • 3
    • 33748623649 scopus 로고    scopus 로고
    • Length-dependence of flexural rigidity as a result of anisotropic elastic properties of microtubules
    • Li C., Ru C.Q., Mioduchowski A. Length-dependence of flexural rigidity as a result of anisotropic elastic properties of microtubules. Biochem. Biophys. Res. Commun. 2006, 349:1145-1150.
    • (2006) Biochem. Biophys. Res. Commun. , vol.349 , pp. 1145-1150
    • Li, C.1    Ru, C.Q.2    Mioduchowski, A.3
  • 4
    • 0000488077 scopus 로고
    • Bending-wave propagation by microtubules and flagella
    • Brokaw C.J. Bending-wave propagation by microtubules and flagella. Math. Biosci. 1988, 90:247-263.
    • (1988) Math. Biosci. , vol.90 , pp. 247-263
    • Brokaw, C.J.1
  • 5
    • 33748920360 scopus 로고    scopus 로고
    • Vibration of microtubules as orthotropic elastic shells
    • Wang C.Y., Ru C.Q., Mioduchowski A. Vibration of microtubules as orthotropic elastic shells. Physica E 2006, 35:48-56.
    • (2006) Physica E , vol.35 , pp. 48-56
    • Wang, C.Y.1    Ru, C.Q.2    Mioduchowski, A.3
  • 6
    • 69249229746 scopus 로고    scopus 로고
    • Mechanics of microtubules modeled as orthotropic elastic shells with transverse shearing, Acta Mech. doi:10.1007/s00707-008-0121-8
    • B. Gu, Y.-W. Mai, C.Q. Ru, Mechanics of microtubules modeled as orthotropic elastic shells with transverse shearing, Acta Mech., doi:10.1007/s00707-008-0121-8.
    • Gu, B.1    Mai, Y.-W.2    Ru, C.Q.3
  • 7
    • 44649098812 scopus 로고    scopus 로고
    • Circumferential vibration of microtubules with long axial wavelength
    • Wang C.Y., Zhang L.C. Circumferential vibration of microtubules with long axial wavelength. J. Biomech. 2008, 41:1892-1896.
    • (2008) J. Biomech. , vol.41 , pp. 1892-1896
    • Wang, C.Y.1    Zhang, L.C.2
  • 8
    • 34247578700 scopus 로고    scopus 로고
    • Wave propagation of orthotropic microtubules
    • Qian X.S., Zhang J.Q., Ru C.Q. Wave propagation of orthotropic microtubules. J. Appl. Phys. 2007, 101:84702-84717.
    • (2007) J. Appl. Phys. , vol.101 , pp. 84702-84717
    • Qian, X.S.1    Zhang, J.Q.2    Ru, C.Q.3
  • 9
    • 33750297382 scopus 로고    scopus 로고
    • Torsion of the central pair microtubules in eukaryotic flagella due bending-driven lateral buckling
    • Li C., Ru C.Q., Mioduchowski A. Torsion of the central pair microtubules in eukaryotic flagella due bending-driven lateral buckling. Biochem. Biophys. Res. Commun. 2006, 351:159-164.
    • (2006) Biochem. Biophys. Res. Commun. , vol.351 , pp. 159-164
    • Li, C.1    Ru, C.Q.2    Mioduchowski, A.3
  • 11
    • 0025814877 scopus 로고
    • New data on the microtubule surface lattice
    • Chretien D., Wade R.H. New data on the microtubule surface lattice. Biol. Cell 1991, 71:161-174.
    • (1991) Biol. Cell , vol.71 , pp. 161-174
    • Chretien, D.1    Wade, R.H.2
  • 15
    • 43549116559 scopus 로고    scopus 로고
    • Mechanics model of microtubule buckling in living cells
    • Li T. Mechanics model of microtubule buckling in living cells. J. Biomech. 2008, 41(8):1722-1729.
    • (2008) J. Biomech. , vol.41 , Issue.8 , pp. 1722-1729
    • Li, T.1
  • 16
    • 42549103710 scopus 로고    scopus 로고
    • Surface deflection of a microtubule loaded by a concentrated radial force
    • Huang G.Y., Mai Y.-W., Ru C.Q. Surface deflection of a microtubule loaded by a concentrated radial force. Nanotechnology 2008, 19:125101.
    • (2008) Nanotechnology , vol.19 , pp. 125101
    • Huang, G.Y.1    Mai, Y.-W.2    Ru, C.Q.3
  • 18
    • 33749158704 scopus 로고    scopus 로고
    • Axisymmetric and beamlike vibrations of multiwall carbon nanotubes
    • Wang C.Y., Ru C.Q., Mioduchowski A. Axisymmetric and beamlike vibrations of multiwall carbon nanotubes. Phys. Rev. B 2005, 72:05414.
    • (2005) Phys. Rev. B , vol.72 , pp. 05414
    • Wang, C.Y.1    Ru, C.Q.2    Mioduchowski, A.3
  • 19
    • 33751091995 scopus 로고    scopus 로고
    • Orthotropic elastic shell model for buckling of microtubules
    • Wang C.Y., Ru C.Q., Mioduchowski A. Orthotropic elastic shell model for buckling of microtubules. Phys. Rev. E 2006, 74:052901.
    • (2006) Phys. Rev. E , vol.74 , pp. 052901
    • Wang, C.Y.1    Ru, C.Q.2    Mioduchowski, A.3
  • 20
    • 0020821706 scopus 로고
    • On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
    • Eringen A.C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys. 1983, 54:4703-4710.
    • (1983) J. Appl. Phys. , vol.54 , pp. 4703-4710
    • Eringen, A.C.1
  • 22
    • 38849146340 scopus 로고    scopus 로고
    • Nonlocal continuum theories of beams for the analysis of carbon nanotubes
    • Reddy J.N., Pang S.D. Nonlocal continuum theories of beams for the analysis of carbon nanotubes. J. Appl. Phys. 2008, 103:023511.
    • (2008) J. Appl. Phys. , vol.103 , pp. 023511
    • Reddy, J.N.1    Pang, S.D.2
  • 23
    • 34447634709 scopus 로고    scopus 로고
    • Nonlocal theories for bending, buckling and vibration of beams
    • Reddy J.N. Nonlocal theories for bending, buckling and vibration of beams. Int. J. Eng. Sci. 2007, 45:288-307.
    • (2007) Int. J. Eng. Sci. , vol.45 , pp. 288-307
    • Reddy, J.N.1
  • 24
    • 43949115888 scopus 로고    scopus 로고
    • Beam bending solutions based on nonlocal Timoshenko beam theory
    • Wang C.M., Kitipornchai S., Lim C.W., Eisenberger E. Beam bending solutions based on nonlocal Timoshenko beam theory. J. Eng. Mech. 2008, 134(6):475-481.
    • (2008) J. Eng. Mech. , vol.134 , Issue.6 , pp. 475-481
    • Wang, C.M.1    Kitipornchai, S.2    Lim, C.W.3    Eisenberger, E.4
  • 26
    • 33846654040 scopus 로고    scopus 로고
    • Application of nonlocal continuum mechanics to static anal of micro-and-nano structures
    • Wang Q., Liew K.M. Application of nonlocal continuum mechanics to static anal of micro-and-nano structures. Phys. Lett. A. 2007, 363:236-242.
    • (2007) Phys. Lett. A. , vol.363 , pp. 236-242
    • Wang, Q.1    Liew, K.M.2
  • 27
    • 33947547136 scopus 로고    scopus 로고
    • The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes
    • Wang Q., Wang C.M. The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes. Nanotechnology 2007, 18:075702.
    • (2007) Nanotechnology , vol.18 , pp. 075702
    • Wang, Q.1    Wang, C.M.2
  • 28
    • 33947313177 scopus 로고    scopus 로고
    • Exact variational nonlocal stress modeling with asymptotic higher-order strain gradients for nanobeams
    • Lim C.M., Wang C.M. Exact variational nonlocal stress modeling with asymptotic higher-order strain gradients for nanobeams. J. Appl. Phys. 2007, 101:054312.
    • (2007) J. Appl. Phys. , vol.101 , pp. 054312
    • Lim, C.M.1    Wang, C.M.2
  • 29
    • 59649088252 scopus 로고    scopus 로고
    • Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models
    • Pradhan S.C., Phadikar J.K. Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models. Phys. Lett. A 2009, 373:1062-1069.
    • (2009) Phys. Lett. A , vol.373 , pp. 1062-1069
    • Pradhan, S.C.1    Phadikar, J.K.2
  • 30
    • 63749090424 scopus 로고    scopus 로고
    • Vibration analysis of nano single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory
    • Murmu T., Pradhan S.C. Vibration analysis of nano single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory. J. Appl. Phys. 2009, 105:064319.
    • (2009) J. Appl. Phys. , vol.105 , pp. 064319
    • Murmu, T.1    Pradhan, S.C.2
  • 31
    • 67649220622 scopus 로고    scopus 로고
    • Small-scale effect on the vibration of nonuniform nanocantilever based on nonlocal elasticity theory, Physica E: Low-Dimensional Syst. Nanostructures, doi:10.1016/j.physe.2009.05.013
    • T. Murmu, S.C. Pradhan, Small-scale effect on the vibration of nonuniform nanocantilever based on nonlocal elasticity theory, Physica E: Low-Dimensional Syst. Nanostructures, 2009. doi:10.1016/j.physe.2009.05.013.
    • (2009)
    • Murmu, T.1    Pradhan, S.C.2
  • 32
    • 61649096096 scopus 로고    scopus 로고
    • Axial vibration of nanorods with the nonlocal continuum rod model
    • Aydoĝdu M. Axial vibration of nanorods with the nonlocal continuum rod model. Physica E 2009, 41:861-864.
    • (2009) Physica E , vol.41 , pp. 861-864
    • Aydoĝdu, M.1
  • 33
    • 34247393727 scopus 로고    scopus 로고
    • Nonlocal elasticity effect on vibration of in-plane loaded double-walled carbon nano-tubes
    • Ece M.C., Aydoĝdu M. Nonlocal elasticity effect on vibration of in-plane loaded double-walled carbon nano-tubes. Acta Mechanica 2007, 190:185-195.
    • (2007) Acta Mechanica , vol.190 , pp. 185-195
    • Ece, M.C.1    Aydoĝdu, M.2
  • 34
  • 35
    • 41649110822 scopus 로고    scopus 로고
    • The initial values method for buckling nonlocal bars with application in nanotechnology
    • Artan R., Tepe A. The initial values method for buckling nonlocal bars with application in nanotechnology. European J. Mech. A/Solids 2008, 27:469-477.
    • (2008) European J. Mech. A/Solids , vol.27 , pp. 469-477
    • Artan, R.1    Tepe, A.2
  • 36
    • 33646733627 scopus 로고    scopus 로고
    • Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes
    • Wang C.M., Tan V.B.C., Zhang T.Y. Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes. J. Sound Vibr. 2006, 294:1060-1072.
    • (2006) J. Sound Vibr. , vol.294 , pp. 1060-1072
    • Wang, C.M.1    Tan, V.B.C.2    Zhang, T.Y.3
  • 37
    • 0030084898 scopus 로고    scopus 로고
    • Free vibration analysis of tapered rectangular plates by differential quadrature method: a semi-analytical approach
    • Bert C.W., Malik M. Free vibration analysis of tapered rectangular plates by differential quadrature method: a semi-analytical approach. J. Sound Vibr. 1996, 190(1):41-63.
    • (1996) J. Sound Vibr. , vol.190 , Issue.1 , pp. 41-63
    • Bert, C.W.1    Malik, M.2
  • 38
    • 0031187639 scopus 로고    scopus 로고
    • Explicit computations of weighting coefficients in the harmonic differential quadrature
    • Shu C., Xue H. Explicit computations of weighting coefficients in the harmonic differential quadrature. J. Sound Vibr. 1997, 204(3):549-555.
    • (1997) J. Sound Vibr. , vol.204 , Issue.3 , pp. 549-555
    • Shu, C.1    Xue, H.2
  • 39
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C., Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. Int. J. Numer. Methods Fluids 1992, 15:791-798.
    • (1992) Int. J. Numer. Methods Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 40
    • 34447544006 scopus 로고    scopus 로고
    • Vibration analysis of arbitrarily shaped membranes using local radial basis function-based differential quadrature method
    • Wu W.X., Shu C., Wang C.M. Vibration analysis of arbitrarily shaped membranes using local radial basis function-based differential quadrature method. J. Sound Vibr. 2007, 306:252-270.
    • (2007) J. Sound Vibr. , vol.306 , pp. 252-270
    • Wu, W.X.1    Shu, C.2    Wang, C.M.3
  • 41
    • 0012544697 scopus 로고    scopus 로고
    • Free vibration analysis of curvilinear quadrilateral plates by the differential quadrature method
    • Shu C., Chen W., Du H. Free vibration analysis of curvilinear quadrilateral plates by the differential quadrature method. J. Comput. Phys. 2000, 163:452-466.
    • (2000) J. Comput. Phys. , vol.163 , pp. 452-466
    • Shu, C.1    Chen, W.2    Du, H.3
  • 42
    • 0032004221 scopus 로고    scopus 로고
    • Comparison of two approaches for implementing stream function boundary conditions in DQ simulation of natural convection in a square cavity
    • Shu C., Xue H. Comparison of two approaches for implementing stream function boundary conditions in DQ simulation of natural convection in a square cavity. Int. J. Heat Fluid Flow 1998, 19:59-68.
    • (1998) Int. J. Heat Fluid Flow , vol.19 , pp. 59-68
    • Shu, C.1    Xue, H.2
  • 43
    • 0242678334 scopus 로고    scopus 로고
    • Numerical simulation of natural convection between two elliptical cylinders using DQ method
    • Zhu Y.D., Shu C., Qiu J., Tani J. Numerical simulation of natural convection between two elliptical cylinders using DQ method. Int. J. Heat Mass Transfer 2004, 47:797-808.
    • (2004) Int. J. Heat Mass Transfer , vol.47 , pp. 797-808
    • Zhu, Y.D.1    Shu, C.2    Qiu, J.3    Tani, J.4
  • 44
    • 0345832022 scopus 로고    scopus 로고
    • Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns
    • Civalek Ö. Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns. Eng. Struct. 2004, 26(2):171-186.
    • (2004) Eng. Struct. , vol.26 , Issue.2 , pp. 171-186
    • Civalek, Ö.1
  • 45
    • 77955304109 scopus 로고    scopus 로고
    • Free vibration and bending analyses of cantilever microtubules based on nonlocal continuum model
    • Civalek Ö., Demir Ç., Akgöz B. Free vibration and bending analyses of cantilever microtubules based on nonlocal continuum model. Math. Comput. Appl. 2010, 15(2):289-298.
    • (2010) Math. Comput. Appl. , vol.15 , Issue.2 , pp. 289-298
    • Civalek, Ö.1    Demir, Ç.2    Akgöz, B.3
  • 46
    • 77956058875 scopus 로고    scopus 로고
    • Nonlocal shear deformable shell model for bending buckling of microtubules embedded in an elastic medium
    • Shen H.-S. Nonlocal shear deformable shell model for bending buckling of microtubules embedded in an elastic medium. Phys. Lett. A 2010, 374(39):4030-4039.
    • (2010) Phys. Lett. A , vol.374 , Issue.39 , pp. 4030-4039
    • Shen, H.-S.1
  • 47
    • 68349104950 scopus 로고    scopus 로고
    • Small scale effects on the mechanical behaviors of protein microtubules based on the nonlocal elasticity theory
    • Gao Y., Lei F.M. Small scale effects on the mechanical behaviors of protein microtubules based on the nonlocal elasticity theory. Biochem. Biophys. Res. 2009, 387(3):467-471.
    • (2009) Biochem. Biophys. Res. , vol.387 , Issue.3 , pp. 467-471
    • Gao, Y.1    Lei, F.M.2
  • 48
    • 67649229832 scopus 로고    scopus 로고
    • Estimate of material property of carbon nanotubes via nonlocal elasticity" by Wang, Han and Wen
    • Wang Q., Han Q.K., Wen B.C. Estimate of material property of carbon nanotubes via nonlocal elasticity" by Wang, Han and Wen. Adv. Theor. Appl. Mech. 2008, 1(1):1-10.
    • (2008) Adv. Theor. Appl. Mech. , vol.1 , Issue.1 , pp. 1-10
    • Wang, Q.1    Han, Q.K.2    Wen, B.C.3


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