메뉴 건너뛰기




Volumn 2013, Issue , 2013, Pages

Stability analysis of nonlocal elastic columns with initial imperfection

Author keywords

[No Author keywords available]

Indexed keywords

HOMOTOPY PERTURBATION METHOD (HPM); INITIAL IMPERFECTION; NON-LOCAL ELASTICITY THEORIES; NONLINEAR DIFFERENTIAL EQUATION; POST-BUCKLING EQUILIBRIUMS; POSTBUCKLING BEHAVIOR; SEMI-ANALYTICAL SOLUTION; SUCCESSIVE APPROXIMATIONS;

EID: 84876519171     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2013/341232     Document Type: Article
Times cited : (20)

References (66)
  • 1
    • 0342819025 scopus 로고
    • Helical microtubules of graphitic carbon
    • Iijima S., Helical microtubules of graphitic carbon. Nature 1991 354 6348 56 58 2-s2.0-0342819025 (Pubitemid 21896780)
    • (1991) Nature , vol.354 , Issue.6348 , pp. 56-58
    • Iijima, S.1
  • 2
    • 84856489317 scopus 로고    scopus 로고
    • Nonlocal elasticity based vibration of initially pre-stressed coupled nanobeam systems
    • 10.1016/j.euromechsol.2011.11.010 MR2887964
    • Murmu T., Adhikari S., Nonlocal elasticity based vibration of initially pre-stressed coupled nanobeam systems. European Journal of Mechanics A 2012 34 52 62 10.1016/j.euromechsol.2011.11.010 MR2887964
    • (2012) European Journal of Mechanics A , vol.34 , pp. 52-62
    • Murmu, T.1    Adhikari, S.2
  • 4
    • 1542347681 scopus 로고    scopus 로고
    • Atomistic viewpoint of the applicability of microcontinuum theories
    • DOI 10.1016/j.ijsolstr.2003.11.030, PII S0020768303006796
    • Chen Y., Lee J. D., Eskandarian A., Atomistic viewpoint of the applicability of microcontinuum theories. International Journal of Solids and Structures 2004 41 8 2085 2097 2-s2.0-1542347681 10.1016/j.ijsolstr.2003.11.030 (Pubitemid 38319481)
    • (2004) International Journal of Solids and Structures , vol.41 , Issue.8 , pp. 2085-2097
    • Chen, Y.1    Lee, J.D.2    Eskandarian, A.3
  • 5
    • 80052033169 scopus 로고    scopus 로고
    • A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes
    • 10.1016/j.commatsci.2011.07.040
    • Arash B., Wang Q., A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes. Computational Materials Science 2012 51 1 303 313 10.1016/j.commatsci.2011.07.040
    • (2012) Computational Materials Science , vol.51 , Issue.1 , pp. 303-313
    • Arash, B.1    Wang, Q.2
  • 6
    • 77955261218 scopus 로고    scopus 로고
    • Recent studies on buckling of carbon nanotubes
    • 030804 2-s2.0-77955261218 10.1115/1.4001936
    • Wang C. M., Zhang Y. Y., Xiang Y., Reddy J. N., Recent studies on buckling of carbon nanotubes. Applied Mechanics Reviews 2010 63 3 18 030804 2-s2.0-77955261218 10.1115/1.4001936
    • (2010) Applied Mechanics Reviews , vol.63 , Issue.3 , pp. 18
    • Wang, C.M.1    Zhang, Y.Y.2    Xiang, Y.3    Reddy, J.N.4
  • 7
    • 0030800875 scopus 로고    scopus 로고
    • Nanobeam mechanics: Elasticity, strength, and toughness of nanorods and nanotubes
    • DOI 10.1126/science.277.5334.1971
    • Wong E. W., Sheehan P. E., Lieber C. M., Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. Science 1997 277 5334 1971 1975 2-s2.0-0030800875 10.1126/science.277.5334.1971 (Pubitemid 27449134)
    • (1997) Science , vol.277 , Issue.5334 , pp. 1971-1975
    • Wong, E.W.1    Sheehan, P.E.2    Lieber, C.M.3
  • 8
    • 0030863666 scopus 로고    scopus 로고
    • Bending and buckling of carbon nanotubes under large strain
    • DOI 10.1038/39282
    • Falvo M. R., Clary G. J., Taylor R. M., Chi V., Brooks F. P., Washburn S., Superfine R., Bending and buckling of carbon nanotubes under large strain. Nature 1997 389 6651 582 584 2-s2.0-0030863666 10.1038/39282 (Pubitemid 27446170)
    • (1997) Nature , vol.389 , Issue.6651 , pp. 582-584
    • Falvo, M.R.1    Clary, G.J.2    Taylor II, R.M.3    Chi, V.4    Brooks Jr., F.P.5    Washburn, S.6    Superfine, R.7
  • 9
    • 33750050422 scopus 로고    scopus 로고
    • Nanomechanics of carbon tubes: Instabilities beyond linear response
    • 10.1103/PhysRevLett.76.2511
    • Yakobson B. I., Brabec C. J., Bernholc J., Nanomechanics of carbon tubes: instabilities beyond linear response. Physical Review Letters 1996 76 14 2511 2514 10.1103/PhysRevLett.76.2511
    • (1996) Physical Review Letters , vol.76 , Issue.14 , pp. 2511-2514
    • Yakobson, B.I.1    Brabec, C.J.2    Bernholc, J.3
  • 10
    • 67949083427 scopus 로고    scopus 로고
    • An effective modelling approach to estimate nonlinear bending behaviour of cantilever type conducting polymer actuators
    • 2-s2.0-67949083427 10.1016/j.snb.2009.06.017
    • Alici G., An effective modelling approach to estimate nonlinear bending behaviour of cantilever type conducting polymer actuators. Sensors and Actuators B 2009 141 1 284 292 2-s2.0-67949083427 10.1016/j.snb.2009.06.017
    • (2009) Sensors and Actuators B , vol.141 , Issue.1 , pp. 284-292
    • Alici, G.1
  • 12
    • 0003513999 scopus 로고
    • 2nd New York, NY, USA McGraw-Hill Engineering Societies Monographs MR0134026
    • Timoshenko S. P., Theory of Elastic Stability 1961 2nd New York, NY, USA McGraw-Hill Engineering Societies Monographs MR0134026
    • (1961) Theory of Elastic Stability
    • Timoshenko, S.P.1
  • 13
    • 71449117434 scopus 로고    scopus 로고
    • The history of the planar elastica: Insights into mechanics and scientific method
    • 2-s2.0-71449117434 10.1007/s11191-008-9166-2
    • Goss V. G. A., The history of the planar elastica: insights into mechanics and scientific method. Science and Education 2009 18 8 1057 1082 2-s2.0-71449117434 10.1007/s11191-008-9166-2
    • (2009) Science and Education , vol.18 , Issue.8 , pp. 1057-1082
    • Goss, V.G.A.1
  • 15
    • 83755174690 scopus 로고    scopus 로고
    • Some comments on the absence of buckling of the ligamentous human spine in the sagittal plane
    • 10.1016/j.mechrescom.2011.11.010
    • Lotz J. C., O'Reilly O. M., Peters D. M., Some comments on the absence of buckling of the ligamentous human spine in the sagittal plane. Mechanics Research Communications 2012 40 11 15 10.1016/j.mechrescom.2011.11.010
    • (2012) Mechanics Research Communications , vol.40 , pp. 11-15
    • Lotz, J.C.1    O'Reilly, O.M.2    Peters, D.M.3
  • 16
    • 79958068502 scopus 로고    scopus 로고
    • Nonlinear analysis of flexible and steel catenary risers with internal flow and seabed interaction effects
    • 2-s2.0-79958068502 10.1007/s11804-011-1055-4
    • Chen H. F., Xu S. P., Guo H. Y., Nonlinear analysis of flexible and steel catenary risers with internal flow and seabed interaction effects. Journal of Marine Science and Application 2011 10 2 156 162 2-s2.0-79958068502 10.1007/s11804-011-1055-4
    • (2011) Journal of Marine Science and Application , vol.10 , Issue.2 , pp. 156-162
    • Chen, H.F.1    Xu, S.P.2    Guo, H.Y.3
  • 17
    • 80054996644 scopus 로고    scopus 로고
    • Parametric study of global response behavior of deepwater free standing hybrid risers
    • Chen H. F., Xu S. P., Guo H. Y., Parametric study of global response behavior of deepwater free standing hybrid risers. Journal of Ship Mechanics 2011 15 996 1004
    • (2011) Journal of Ship Mechanics , vol.15 , pp. 996-1004
    • Chen, H.F.1    Xu, S.P.2    Guo, H.Y.3
  • 18
    • 0021850304 scopus 로고
    • Post-buckling behavior of columns with non-linear constitutive equations
    • 2-s2.0-0021850304
    • Haslach H. W. Jr., Post-buckling behavior of columns with non-linear constitutive equations. International Journal of Non-Linear Mechanics 1985 20 1 53 67 2-s2.0-0021850304
    • (1985) International Journal of Non-Linear Mechanics , vol.20 , Issue.1 , pp. 53-67
    • Haslach, Jr.H.W.1
  • 19
    • 36248959148 scopus 로고    scopus 로고
    • A proposed technique for large deflection analysis of cantilever beams composed of two nonlinear elastic materials subjected to an inclined tip concentrated force
    • DOI 10.1260/136943307781422244
    • Al-Sadder S., Shatarat N., A proposed technique for large deflection analysis of cantilever beams composed of two nonlinear elastic materials subjected to an inclined tip concentrated force. Advances in Structural Engineering 2007 10 3 319 335 2-s2.0-36248959148 10.1260/136943307781422244 (Pubitemid 350124121)
    • (2007) Advances in Structural Engineering , vol.10 , Issue.3 , pp. 319-335
    • Al-Sadder, S.1    Shatarat, N.2
  • 20
    • 0033717594 scopus 로고    scopus 로고
    • Structure-material relations in the buckling problem of asymmetric composite columns
    • 2-s2.0-0033717594 10.1016/S0020-7462(99)00006-2 MR1723771 ZBL1068.74546
    • Vinogradov A. M., Derrick W. R., Structure-material relations in the buckling problem of asymmetric composite columns. International Journal of Non-Linear Mechanics 2000 35 1 167 175 2-s2.0-0033717594 10.1016/S0020-7462(99) 00006-2 MR1723771 ZBL1068.74546
    • (2000) International Journal of Non-Linear Mechanics , vol.35 , Issue.1 , pp. 167-175
    • Vinogradov, A.M.1    Derrick, W.R.2
  • 21
    • 67349221463 scopus 로고    scopus 로고
    • Bending of functionally graded cantilever beam with power-law non-linearity subjected to an end force
    • 2-s2.0-67349221463 10.1016/j.ijnonlinmec.2009.02.016
    • Kang Y. A., Li X. F., Bending of functionally graded cantilever beam with power-law non-linearity subjected to an end force. International Journal of Non-Linear Mechanics 2009 44 6 696 703 2-s2.0-67349221463 10.1016/j.ijnonlinmec. 2009.02.016
    • (2009) International Journal of Non-Linear Mechanics , vol.44 , Issue.6 , pp. 696-703
    • Kang, Y.A.1    Li, X.F.2
  • 22
    • 84856784082 scopus 로고    scopus 로고
    • On geometrically exact post-buckling of composite columns with interlayer slip - The partially composite elastica
    • 10.1016/j.ijnonlinmec.2012.01.001
    • Challamel N., On geometrically exact post-buckling of composite columns with interlayer slip-the partially composite elastica. International Journal of Non-Linear Mechanics 2012 47 3 7 17 10.1016/j.ijnonlinmec.2012.01.001
    • (2012) International Journal of Non-Linear Mechanics , vol.47 , Issue.3 , pp. 7-17
    • Challamel, N.1
  • 23
    • 62649091768 scopus 로고    scopus 로고
    • Elastica of sandwich panels with a transversely flexible core - A high-order theory approach
    • 2-s2.0-62649091768 10.1016/j.ijsolstr.2008.05.007
    • Frostig Y., Elastica of sandwich panels with a transversely flexible core-a high-order theory approach. International Journal of Solids and Structures 2009 46 10 2043 2059 2-s2.0-62649091768 10.1016/j.ijsolstr.2008.05. 007
    • (2009) International Journal of Solids and Structures , vol.46 , Issue.10 , pp. 2043-2059
    • Frostig, Y.1
  • 25
    • 0028443806 scopus 로고
    • Elastica type dynamic stability analysis of viscoelastic columns
    • 2-s2.0-0028443806 10.1007/BF00788216
    • Suire G., Cederbaum G., Elastica type dynamic stability analysis of viscoelastic columns. Archive of Applied Mechanics 1994 64 5 307 316 2-s2.0-0028443806 10.1007/BF00788216
    • (1994) Archive of Applied Mechanics , vol.64 , Issue.5 , pp. 307-316
    • Suire, G.1    Cederbaum, G.2
  • 26
    • 34247354209 scopus 로고    scopus 로고
    • Complete solution of elastica for a clamped-hinged beam, and its applications to a carbon nanotube
    • DOI 10.1007/s00707-006-0402-z
    • Mikata Y., Complete solution of elastica for a clamped-hinged beam, and its applications to a carbon nanotube. Acta Mechanica 2007 190 1-4 133 150 2-s2.0-34247354209 10.1007/s00707-006-0402-z (Pubitemid 46639408)
    • (2007) Acta Mechanica , vol.190 , Issue.1-4 , pp. 133-150
    • Mikata, Y.1
  • 27
    • 0031268084 scopus 로고    scopus 로고
    • Analytical bending solutions of elastica with one end held while the other end portion slides on a friction support
    • He X. Q., Wang C. M., Lam K. Y., Analytical bending solutions of elastica with one end held while the other end portion slides on a friction support. Archive of Applied Mechanics 1997 67 8 543 554 2-s2.0-0031268084 (Pubitemid 127624061)
    • (1997) Archive of Applied Mechanics , vol.67 , Issue.8 , pp. 543-554
    • He, X.Q.1    Wang, C.M.2    Lam, K.Y.3
  • 28
    • 70449507034 scopus 로고    scopus 로고
    • Slip-through of a heavy elastica on point supports
    • 2-s2.0-70449507034 10.1016/j.ijsolstr.2009.09.031
    • Chen J. S., Li H. C., Ro W. C., Slip-through of a heavy elastica on point supports. International Journal of Solids and Structures 2010 47 2 261 268 2-s2.0-70449507034 10.1016/j.ijsolstr.2009.09.031
    • (2010) International Journal of Solids and Structures , vol.47 , Issue.2 , pp. 261-268
    • Chen, J.S.1    Li, H.C.2    Ro, W.C.3
  • 29
    • 0036623655 scopus 로고    scopus 로고
    • Modeling of flexural beams subjected to arbitrary end loads
    • DOI 10.1115/1.1455031
    • Kimball C., Tsai L. W., Modeling of flexural beams subjected to arbitrary end loads. Journal of Mechanical Design 2002 124 2 223 235 2-s2.0-0036623655 10.1115/1.1455031 (Pubitemid 35202471)
    • (2002) Journal of Mechanical Design, Transactions of the ASME , vol.124 , Issue.2 , pp. 223-235
    • Kimball, C.1    Tsai, L.-W.2
  • 30
    • 0033098923 scopus 로고    scopus 로고
    • Double curvature bending of variable-arc-length elasticas
    • 2-s2.0-0033098923
    • Chucheepsakul S., Wang C. M., He X. Q., Double curvature bending of variable-arc-length elasticas. Journal of Applied Mechanics 1999 66 1 87 94 2-s2.0-0033098923
    • (1999) Journal of Applied Mechanics , vol.66 , Issue.1 , pp. 87-94
    • Chucheepsakul, S.1    Wang, C.M.2    He, X.Q.3
  • 31
    • 33746068235 scopus 로고    scopus 로고
    • Postbuckling of elastic columns with second-mode imperfection
    • DOI 10.1061/(ASCE)0733-9399(2006)132:8(898)
    • Plaut R. H., Dillard D. A., Virgin L. N., Postbuckling of elastic columns with second-mode imperfection. Journal of Engineering Mechanics 2006 132 8 898 901 2-s2.0-33746068235 10.1061/(ASCE)0733-9399(2006)132:8(898) (Pubitemid 44070222)
    • (2006) Journal of Engineering Mechanics , vol.132 , Issue.8 , pp. 898-901
    • Plaut, R.H.1    Dillard, D.A.2    Virgin, L.N.3
  • 32
    • 58549087125 scopus 로고    scopus 로고
    • Direct method for analysis of flexible cantilever beam subjected to two follower forces
    • 2-s2.0-58549087125 10.1016/j.ijnonlinmec.2008.11.004
    • Shvartsman B. S., Direct method for analysis of flexible cantilever beam subjected to two follower forces. International Journal of Non-Linear Mechanics 2009 44 2 249 252 2-s2.0-58549087125 10.1016/j.ijnonlinmec.2008.11.004
    • (2009) International Journal of Non-Linear Mechanics , vol.44 , Issue.2 , pp. 249-252
    • Shvartsman, B.S.1
  • 33
    • 55049086673 scopus 로고    scopus 로고
    • A Lie-group shooting method for post buckling calculations of elastica
    • 2-s2.0-55349109611
    • Liu C. S., A Lie-group shooting method for post buckling calculations of elastica. Computer Modeling in Engineering and Sciences 2008 30 1 1 16 2-s2.0-55349109611
    • (2008) Computer Modeling in Engineering and Sciences , vol.30 , Issue.1 , pp. 1-16
    • Liu, C.S.1
  • 35
    • 77953135061 scopus 로고    scopus 로고
    • Post-buckling analysis of planar elastica using a hybrid numerical strategy
    • 2-s2.0-77953135061 10.1016/j.compstruc.2010.03.004
    • Wang T. Y., Koh C. G., Liaw C. Y., Post-buckling analysis of planar elastica using a hybrid numerical strategy. Computers and Structures 2010 88 11-12 785 795 2-s2.0-77953135061 10.1016/j.compstruc.2010.03.004
    • (2010) Computers and Structures , vol.88 , Issue.11-12 , pp. 785-795
    • Wang, T.Y.1    Koh, C.G.2    Liaw, C.Y.3
  • 36
    • 77949631327 scopus 로고    scopus 로고
    • Differential quadrature application in post-buckling analysis of a hinged-fixed elastica under terminal forces and self-weight
    • 2-s2.0-77949631327 10.1007/s12206-009-1101-1
    • Sepahi O., Forouzan M. R., Malekzadeh P., Differential quadrature application in post-buckling analysis of a hinged-fixed elastica under terminal forces and self-weight. Journal of Mechanical Science and Technology 2010 24 1 331 336 2-s2.0-77949631327 10.1007/s12206-009-1101-1
    • (2010) Journal of Mechanical Science and Technology , vol.24 , Issue.1 , pp. 331-336
    • Sepahi, O.1    Forouzan, M.R.2    Malekzadeh, P.3
  • 37
    • 0018012232 scopus 로고
    • A perturbation method applied to the buckling of a compressed elastica
    • 2-s2.0-0018012232 10.1016/0771-050X(78)90009-8 MR509302 ZBL0382.73032
    • Berkey D. D., Freedman M. I., A perturbation method applied to the buckling of a compressed elastica. Journal of Computational and Applied Mathematics 1978 4 3 213 221 2-s2.0-0018012232 10.1016/0771-050X(78)90009-8 MR509302 ZBL0382.73032
    • (1978) Journal of Computational and Applied Mathematics , vol.4 , Issue.3 , pp. 213-221
    • Berkey, D.D.1    Freedman, M.I.2
  • 38
    • 0033133412 scopus 로고    scopus 로고
    • Asymptotic formula for the flexible bar
    • 2-s2.0-0033133412
    • Wang C. Y., Asymptotic formula for the flexible bar. Mechanism and Machine Theory 1999 34 4 645 655 2-s2.0-0033133412
    • (1999) Mechanism and Machine Theory , vol.34 , Issue.4 , pp. 645-655
    • Wang, C.Y.1
  • 39
    • 54249113935 scopus 로고    scopus 로고
    • Buckling and post-buckling of non-uniform non-linearly elastic rods
    • 2-s2.0-54249113935 10.1016/j.ijmecsci.2008.05.001
    • Lacarbonara W., Buckling and post-buckling of non-uniform non-linearly elastic rods. International Journal of Mechanical Sciences 2008 50 8 1316 1325 2-s2.0-54249113935 10.1016/j.ijmecsci.2008.05.001
    • (2008) International Journal of Mechanical Sciences , vol.50 , Issue.8 , pp. 1316-1325
    • Lacarbonara, W.1
  • 40
    • 58549112936 scopus 로고    scopus 로고
    • Buckling and post-buckling of extensible rods revisited: A multiple-scale solution
    • 2-s2.0-58549112936 10.1016/j.ijnonlinmec.2008.11.005
    • Mazzilli C. E. N., Buckling and post-buckling of extensible rods revisited: a multiple-scale solution. International Journal of Non-Linear Mechanics 2009 44 2 200 208 2-s2.0-58549112936 10.1016/j.ijnonlinmec.2008.11.005
    • (2009) International Journal of Non-Linear Mechanics , vol.44 , Issue.2 , pp. 200-208
    • Mazzilli, C.E.N.1
  • 41
    • 80053493908 scopus 로고    scopus 로고
    • A novel technique for nonlinear analysis of beams on two-parameter elastic foundations
    • 10.1142/S0219455411004440 MR2845224 ZBL1245.74036
    • Shen H. S., A novel technique for nonlinear analysis of beams on two-parameter elastic foundations. International Journal of Structural Stability and Dynamics 2011 11 6 999 1014 10.1142/S0219455411004440 MR2845224 ZBL1245.74036
    • (2011) International Journal of Structural Stability and Dynamics , vol.11 , Issue.6 , pp. 999-1014
    • Shen, H.S.1
  • 42
    • 37249042111 scopus 로고    scopus 로고
    • An explicit solution of the large deformation of a cantilever beam under point load at the free tip
    • DOI 10.1016/j.cam.2006.12.009, PII S0377042706007333
    • Wang J., Chen J. K., Liao S., An explicit solution of the large deformation of a cantilever beam under point load at the free tip. Journal of Computational and Applied Mathematics 2008 212 2 320 330 2-s2.0-37249042111 10.1016/j.cam.2006.12.009 MR2383023 ZBL1128.74026 (Pubitemid 350266217)
    • (2008) Journal of Computational and Applied Mathematics , vol.212 , Issue.2 , pp. 320-330
    • Wang, J.1    Chen, J.-K.2    Liao, S.3
  • 43
    • 70449338237 scopus 로고    scopus 로고
    • A seminalytical approach to large deflections in compliant beams under point load
    • 2-s2.0-70449338237 10.1155/2009/910896 910896 MR2552583
    • Tolou N., Herder J. L., A seminalytical approach to large deflections in compliant beams under point load. Mathematical Problems in Engineering 2009 2009 13 2-s2.0-70449338237 10.1155/2009/910896 910896 MR2552583
    • (2009) Mathematical Problems in Engineering , vol.2009 , pp. 13
    • Tolou, N.1    Herder, J.L.2
  • 44
    • 34648844213 scopus 로고    scopus 로고
    • Numeric-analytic form of the adomian decomposition method for two-point boundary value problems in nonlinear mechanics
    • DOI 10.1061/(ASCE)0733-9399(2007)133:10(1124)
    • Ghosh S., Roy D., Numeric-analytic form of the adomian decomposition method for two-point boundary value problems in nonlinear mechanics. Journal of Engineering Mechanics 2007 133 10 1124 1133 2-s2.0-34648844213 10.1061/(ASCE)0733-9399(2007)133:10(1124) (Pubitemid 47456363)
    • (2007) Journal of Engineering Mechanics , vol.133 , Issue.10 , pp. 1124-1133
    • Ghosh, S.1    Roy, D.2
  • 45
    • 33750727999 scopus 로고    scopus 로고
    • Nonlinear asymptotic analysis in elastica of straight bars-analytical parametric solutions
    • DOI 10.1007/s00419-006-0054-4
    • Andriotaki P. N., Stampouloglou I. H., Theotokoglou E. E., Nonlinear asymptotic analysis in elastica of straight bars-analytical parametric solutions. Archive of Applied Mechanics 2006 76 9-10 525 536 2-s2.0-33750727999 10.1007/s00419-006-0054-4 (Pubitemid 44707248)
    • (2006) Archive of Applied Mechanics , vol.76 , Issue.9-10 , pp. 525-536
    • Andriotaki, P.N.1    Stampouloglou, I.H.2    Theotokoglou, E.E.3
  • 46
    • 77955671576 scopus 로고    scopus 로고
    • Postbuckling of nano rods/tubes based on nonlocal beam theory
    • 10.1142/S1758825109000150
    • Wang C. M., Xiang Y., Kitipornchai S., Postbuckling of nano rods/tubes based on nonlocal beam theory. International Journal of Applied Mechanics 2009 1 2 259 266 10.1142/S1758825109000150
    • (2009) International Journal of Applied Mechanics , vol.1 , Issue.2 , pp. 259-266
    • Wang, C.M.1    Xiang, Y.2    Kitipornchai, S.3
  • 48
    • 84862832385 scopus 로고    scopus 로고
    • Buckling analysis of shear deformable nanorods within the framework of nonlocal elasticity theory
    • 10.1016/j.physe.2012.02.022
    • Xu S. P., Wang C. M., Xu M. R., Buckling analysis of shear deformable nanorods within the framework of nonlocal elasticity theory. Physica E 2012 44 7-8 1380 1385 10.1016/j.physe.2012.02.022
    • (2012) Physica e , vol.44 , Issue.7-8 , pp. 1380-1385
    • Xu, S.P.1    Wang, C.M.2    Xu, M.R.3
  • 49
    • 84859912148 scopus 로고    scopus 로고
    • Application of Pontryagin's principle to bimodal optimization of nano rods
    • 1250012 10.1142/S0219455412500125 MR2915017
    • Atanackovic T. M., Novakovic B. N., Vrcelj Z., Application of Pontryagin's principle to bimodal optimization of nano rods. International Journal of Structural Stability and Dynamics 2012 12 3 11 1250012 10.1142/S0219455412500125 MR2915017
    • (2012) International Journal of Structural Stability and Dynamics , vol.12 , Issue.3 , pp. 11
    • Atanackovic, T.M.1    Novakovic, B.N.2    Vrcelj, Z.3
  • 50
    • 0023538117 scopus 로고
    • Large deformation and postbuckling behavior of an initially deformed rod
    • Tauchert T. R., Lu W. Y., Large deformation and postbuckling behavior of an initially deformed rod. International Journal of Non-Linear Mechanics 1987 22 6 511 520 2-s2.0-0023538117 (Pubitemid 18544789)
    • (1987) International Journal of Non-Linear Mechanics , vol.22 , Issue.6 , pp. 511-520
    • Tauchert, T.R.1    Lu, W.Y.2
  • 51
    • 83655193237 scopus 로고    scopus 로고
    • Modeling of initially curved beam structures for design of multistable MEMS
    • 011006 10.1115/1.4004711
    • Williams M. D., Keulen F. V., Sheplak M., Modeling of initially curved beam structures for design of multistable MEMS. Journal of Applied Mechanics 2012 79 1 11 011006 10.1115/1.4004711
    • (2012) Journal of Applied Mechanics , vol.79 , Issue.1 , pp. 11
    • Williams, M.D.1    Keulen, F.V.2    Sheplak, M.3
  • 52
    • 0021300767 scopus 로고
    • Effects of initial curvature and other parameters on the nonlinear buckling of simple frames
    • Kounadis A. N., Economou A. F., The effects of initial curvature and other parameters on the nonlinear buckling of simple frames. Journal of Structural Mechanics 1984 12 1 27 42 2-s2.0-0021300767 (Pubitemid 14652498)
    • (1984) Journal of structural mechanics , vol.12 , Issue.1 , pp. 27-42
    • Kounadis, A.N.1    Economou, A.F.2
  • 53
    • 67349185064 scopus 로고    scopus 로고
    • A static and dynamic analysis of the postbuckling of geometrically imperfect composite beams
    • 2-s2.0-67349185064 10.1016/j.compstruct.2009.03.020
    • Emam S. A., A static and dynamic analysis of the postbuckling of geometrically imperfect composite beams. Composite Structures 2009 90 2 247 253 2-s2.0-67349185064 10.1016/j.compstruct.2009.03.020
    • (2009) Composite Structures , vol.90 , Issue.2 , pp. 247-253
    • Emam, S.A.1
  • 54
    • 34848825910 scopus 로고    scopus 로고
    • Exact solutions for axisymmetric bending of micro/nanoscale circular plates based on nonlocal plate theory
    • DOI 10.1088/0957-4484/18/38/385704, PII S0957448407540523
    • Duan W. H., Wang C. M., Exact solutions for axisymmetric bending of micro/nanoscale circular plates based on nonlocal plate theory. Nanotechnology 2007 18 38 2-s2.0-34848825910 10.1088/0957-4484/18/38/385704 385704 (Pubitemid 47507051)
    • (2007) Nanotechnology , vol.18 , Issue.38 , pp. 385704
    • Duan, W.H.1    Wang, C.M.2
  • 55
    • 33947547136 scopus 로고    scopus 로고
    • The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes
    • DOI 10.1088/0957-4484/18/7/075702, PII S0957448407331061
    • Wang Q., Wang C. M., The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes. Nanotechnology 2007 18 7 2-s2.0-33947547136 10.1088/0957-4484/18/7/075702 075702 (Pubitemid 46472325)
    • (2007) Nanotechnology , vol.18 , Issue.7 , pp. 075702
    • Wang, Q.1    Wang, C.M.2
  • 56
    • 34250086859 scopus 로고
    • On the accuracy of various large axial displacement formulae for crooked columns
    • 2-s2.0-34250086859 10.1007/BF00285782
    • Mallis J., Kounadis A. N., On the accuracy of various large axial displacement formulae for crooked columns. Computational Mechanics 1988 4 1 47 58 2-s2.0-34250086859 10.1007/BF00285782
    • (1988) Computational Mechanics , vol.4 , Issue.1 , pp. 47-58
    • Mallis, J.1    Kounadis, A.N.2
  • 57
    • 84870251083 scopus 로고    scopus 로고
    • Shape optimization against buckling of micro- and nano-rods
    • 10.1007/s00419-012-0661-1
    • Atanackovic T. M., Novakovic B. N., Vrcelj Z., Shape optimization against buckling of micro- and nano-rods. Archive of Applied Mechanics 2012 82 10-11 1303 1311 10.1007/s00419-012-0661-1
    • (2012) Archive of Applied Mechanics , vol.82 , Issue.10-11 , pp. 1303-1311
    • Atanackovic, T.M.1    Novakovic, B.N.2    Vrcelj, Z.3
  • 58
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • 2-s2.0-0032672778 10.1016/S0045-7825(99)00018-3 MR1711041 ZBL0956.70017
    • He J. H., Homotopy perturbation technique. Computer Methods in Applied Mechanics and Engineering 1999 178 3-4 257 262 2-s2.0-0032672778 10.1016/S0045-7825(99)00018-3 MR1711041 ZBL0956.70017
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.178 , Issue.3-4 , pp. 257-262
    • He, J.H.1
  • 59
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • 2-s2.0-0033702384 10.1016/S0020-7462(98)00085-7 MR1723761
    • He J. H., A coupling method of a homotopy technique and a perturbation technique for non-linear problems. International Journal of Non-Linear Mechanics 2000 35 1 37 43 2-s2.0-0033702384 10.1016/S0020-7462(98)00085-7 MR1723761
    • (2000) International Journal of Non-Linear Mechanics , vol.35 , Issue.1 , pp. 37-43
    • He, J.H.1
  • 60
    • 71849115697 scopus 로고    scopus 로고
    • Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method
    • 2-s2.0-71849115697 10.1016/j.apm.2009.07.013 MR2579613 ZBL1185.74032
    • Mojahedi M., Zand M. M., Ahmadian M. T., Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method. Applied Mathematical Modelling 2010 34 4 1032 1041 2-s2.0-71849115697 10.1016/j.apm.2009.07.013 MR2579613 ZBL1185.74032
    • (2010) Applied Mathematical Modelling , vol.34 , Issue.4 , pp. 1032-1041
    • Mojahedi, M.1    Zand, M.M.2    Ahmadian, M.T.3
  • 61
    • 77955422679 scopus 로고    scopus 로고
    • Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method
    • 2-s2.0-77955422679 10.1016/j.camwa.2010.04.049 MR2665654 ZBL1201.76199
    • Xu M. R., Xu S. P., Guo H. Y., Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method. Computers and Mathematics with Applications 2010 60 3 520 527 2-s2.0-77955422679 10.1016/j.camwa.2010.04.049 MR2665654 ZBL1201.76199
    • (2010) Computers and Mathematics with Applications , vol.60 , Issue.3 , pp. 520-527
    • Xu, M.R.1    Xu, S.P.2    Guo, H.Y.3
  • 62
    • 0023167256 scopus 로고
    • Elastica type buckling analysis of bars from non-linearly elastic material
    • Kounadis A. N., Mallis J. G., Elastica type buckling analysis of bars from non-linearly elastic material. International Journal of Non-Linear Mechanics 1987 22 2 99 107 2-s2.0-0023167256 (Pubitemid 17617859)
    • (1987) International Journal of Non-Linear Mechanics , vol.22 , Issue.2 , pp. 99-107
    • Kounadis, A.N.1    Mallis, J.G.2
  • 63
    • 0026682359 scopus 로고
    • On the large postbuckling response of nonconservative continuous systems
    • 2-s2.0-0026682359 10.1007/BF00804985
    • Kandakis G., Kounadis A. N., On the large postbuckling response of nonconservative continuous systems. Archive of Applied Mechanics 1992 62 4 256 265 2-s2.0-0026682359 10.1007/BF00804985
    • (1992) Archive of Applied Mechanics , vol.62 , Issue.4 , pp. 256-265
    • Kandakis, G.1    Kounadis, A.N.2
  • 64
    • 33644591891 scopus 로고    scopus 로고
    • Postbuckling analysis of columns resting on an elastic foundation
    • 2-s2.0-33644591891 10.1007/s00419-005-0434-1
    • Kounadis A. N., Mallis J., Sbarounis A., Postbuckling analysis of columns resting on an elastic foundation. Archive of Applied Mechanics 2006 75 6-7 395 404 2-s2.0-33644591891 10.1007/s00419-005-0434-1
    • (2006) Archive of Applied Mechanics , vol.75 , Issue.6-7 , pp. 395-404
    • Kounadis, A.N.1    Mallis, J.2    Sbarounis, A.3
  • 65
    • 0026623931 scopus 로고
    • An efficient and simple approximate technique for solving nonlinear initial and boundary-value problems
    • 2-s2.0-0026623931 10.1007/BF00350188 MR1181305 ZBL0757.65083
    • Kounadis A. N., An efficient and simple approximate technique for solving nonlinear initial and boundary-value problems. Computational Mechanics 1992 9 3 221 231 2-s2.0-0026623931 10.1007/BF00350188 MR1181305 ZBL0757.65083
    • (1992) Computational Mechanics , vol.9 , Issue.3 , pp. 221-231
    • Kounadis, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.