메뉴 건너뛰기




Volumn 229-232, Issue , 2012, Pages 56-67

Analysis of single-walled carbon nanotubes using the moving Kriging interpolation

Author keywords

Carbon nanotubes; Moving Kriging interpolation; Post buckling

Indexed keywords

ATOMISTIC SIMULATIONS; BENDING EFFECT; BUCKLING BEHAVIORS; C-C BONDS; CAUCHY-BORN RULE; COMPUTATIONAL RESOURCES; CONSTITUTIVE RELATIONSHIPS; ENGINEERING FIELDS; ESSENTIAL BOUNDARY CONDITIONS; FUNCTION PROPERTIES; HIGHER ORDER; KRIGING; KRIGING INTERPOLATION; MECHANICAL RESPONSE; MESH-FREE METHOD; MESHFREE; NUMERICAL EXAMPLE; NUMERICAL RESULTS; PHYSICAL BEHAVIORS; POSTBUCKLING; SECOND-ORDER DEFORMATION; SHAPE FUNCTIONS;

EID: 84860314211     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2012.03.025     Document Type: Article
Times cited : (30)

References (51)
  • 1
    • 0342819025 scopus 로고
    • Helical microtubules of graphitic carbon
    • Iijima S. Helical microtubules of graphitic carbon. Nature 1991, 354:56-58.
    • (1991) Nature , vol.354 , pp. 56-58
    • Iijima, S.1
  • 2
    • 33750050422 scopus 로고    scopus 로고
    • Nanomechanics of carbon tube: instabilities beyond the linear response
    • Yakobson B.I., Brabec C.J., Bernholc J. Nanomechanics of carbon tube: instabilities beyond the linear response. Phys. Rev. Lett. 1996, 76:2511-2514.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2511-2514
    • Yakobson, B.I.1    Brabec, C.J.2    Bernholc, J.3
  • 4
    • 33749233507 scopus 로고    scopus 로고
    • Atomic-scale finite element method in multiscale computation with applications to carbon nanotubes
    • Liu B., Jiang H., Huang Y., Qu S., Yu M.F. Atomic-scale finite element method in multiscale computation with applications to carbon nanotubes. Phys. Rev. B 2005, 72:035435.
    • (2005) Phys. Rev. B , vol.72 , pp. 035435
    • Liu, B.1    Jiang, H.2    Huang, Y.3    Qu, S.4    Yu, M.F.5
  • 6
    • 2342460373 scopus 로고    scopus 로고
    • On the study of elastic and plastic properties of multi-walled carbon nanotubes under axial tension using molecular dynamics simulation
    • Liew K.M., He X.Q., Wong C.H. On the study of elastic and plastic properties of multi-walled carbon nanotubes under axial tension using molecular dynamics simulation. Acta Mater. 2004, 52:2521-2527.
    • (2004) Acta Mater. , vol.52 , pp. 2521-2527
    • Liew, K.M.1    He, X.Q.2    Wong, C.H.3
  • 7
    • 15744391445 scopus 로고    scopus 로고
    • Thermal stabilities of single and multi-walled carbon nanotubes
    • Liew K.M., Wong C.H., He X.Q., Tan M.J. Thermal stabilities of single and multi-walled carbon nanotubes. Phys. Rev. B 2005, 71:075424.
    • (2005) Phys. Rev. B , vol.71 , pp. 075424
    • Liew, K.M.1    Wong, C.H.2    He, X.Q.3    Tan, M.J.4
  • 8
    • 23744451572 scopus 로고    scopus 로고
    • Buckling properties of carbon nanotube bundles
    • Liew K.M., Wong C.H., Tan M.J. Buckling properties of carbon nanotube bundles. Appl. Phys. Lett. 2005, 87:041901.
    • (2005) Appl. Phys. Lett. , vol.87 , pp. 041901
    • Liew, K.M.1    Wong, C.H.2    Tan, M.J.3
  • 9
    • 33745275611 scopus 로고    scopus 로고
    • Twisting effects of carbon nanotube bundles
    • Liew K.M., Wong C.H., Tan M.J. Twisting effects of carbon nanotube bundles. J. Appl. Phys. 2006, 99:114312.
    • (2006) J. Appl. Phys. , vol.99 , pp. 114312
    • Liew, K.M.1    Wong, C.H.2    Tan, M.J.3
  • 10
    • 0033096670 scopus 로고    scopus 로고
    • On the use of continuum mechanics to estimate the properties of nanotubes
    • Govindjee S., Sackman J.L. On the use of continuum mechanics to estimate the properties of nanotubes. Solids State Commun. 1999, 110:227-230.
    • (1999) Solids State Commun. , vol.110 , pp. 227-230
    • Govindjee, S.1    Sackman, J.L.2
  • 11
    • 0034666972 scopus 로고    scopus 로고
    • Effective bending stiffness of carbon nanotubes
    • Ru C.Q. Effective bending stiffness of carbon nanotubes. Phys. Rev. B 2000, 62:9973-9976.
    • (2000) Phys. Rev. B , vol.62 , pp. 9973-9976
    • Ru, C.Q.1
  • 12
    • 0035371349 scopus 로고    scopus 로고
    • Axially compressed buckling of a double-walled carbon nanotube embedded in an elastic medium
    • Ru C.Q. Axially compressed buckling of a double-walled carbon nanotube embedded in an elastic medium. J. Mech. Phys. Solids 2001, 49:1265-1279.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1265-1279
    • Ru, C.Q.1
  • 13
    • 1642376216 scopus 로고    scopus 로고
    • Elastic properties of single-walled carbon nanotubes in transverse direction
    • Li C.Y., Chou T.W. Elastic properties of single-walled carbon nanotubes in transverse direction. Phys. Rev. B 2004, 69:073401.
    • (2004) Phys. Rev. B , vol.69 , pp. 073401
    • Li, C.Y.1    Chou, T.W.2
  • 14
    • 10844224502 scopus 로고    scopus 로고
    • Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction
    • He X.Q., Kitipornchai S., Liew K.M. Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction. J. Mech. Phys. Solids 2005, 53:303-326.
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 303-326
    • He, X.Q.1    Kitipornchai, S.2    Liew, K.M.3
  • 16
    • 28544452524 scopus 로고    scopus 로고
    • Flexural wave propagation in single-walled carbon nanotubes
    • Wang L.F., Hu H.Y. Flexural wave propagation in single-walled carbon nanotubes. Phys. Rev. B 2005, 71:195-412.
    • (2005) Phys. Rev. B , vol.71 , pp. 195-412
    • Wang, L.F.1    Hu, H.Y.2
  • 17
    • 33144456197 scopus 로고    scopus 로고
    • Validation of the non-local elastic shell model for studying longitudinal waves in single-walled carbon nanotubes
    • Wang L.F., Hu H.Y., Guo W.L. Validation of the non-local elastic shell model for studying longitudinal waves in single-walled carbon nanotubes. Nanotechnology 2006, 17:1408-1415.
    • (2006) Nanotechnology , vol.17 , pp. 1408-1415
    • Wang, L.F.1    Hu, H.Y.2    Guo, W.L.3
  • 19
    • 0001060370 scopus 로고    scopus 로고
    • Mixed finite element and atomistic formulation for complex crystals
    • Tadmor E.B., Smith G.S., Bernstein N., Kaxiras E. Mixed finite element and atomistic formulation for complex crystals. Phys. Rev. B 1999, 59:235-245.
    • (1999) Phys. Rev. B , vol.59 , pp. 235-245
    • Tadmor, E.B.1    Smith, G.S.2    Bernstein, N.3    Kaxiras, E.4
  • 20
    • 0030158774 scopus 로고    scopus 로고
    • Quasicontinuum analysis of defects in solids
    • Tadmor E.B., Ortiz M., Phillips R. Quasicontinuum analysis of defects in solids. Philos. Mag. A 1996, 73:1529-1563.
    • (1996) Philos. Mag. A , vol.73 , pp. 1529-1563
    • Tadmor, E.B.1    Ortiz, M.2    Phillips, R.3
  • 22
    • 0037014431 scopus 로고    scopus 로고
    • The elastic modulus of single-walled carbon nanotubes: a continuum analysis incorporating interatomic potentials
    • Zhang P., Huang Y., Geubelle P.H., Klein P.A., Huang K.C. The elastic modulus of single-walled carbon nanotubes: a continuum analysis incorporating interatomic potentials. Int. J. Solids Struct. 2002, 39:3893-3906.
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 3893-3906
    • Zhang, P.1    Huang, Y.2    Geubelle, P.H.3    Klein, P.A.4    Huang, K.C.5
  • 23
    • 1642364063 scopus 로고    scopus 로고
    • An atomistic-based continuum theory for carbon nanotubes: analysis of fracture nucleation
    • Zhang P., Jiang H., Huang Y., Geubelle P.H., Huang K.C. An atomistic-based continuum theory for carbon nanotubes: analysis of fracture nucleation. J. Mech. Phys. Solids 2004, 52:977-998.
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 977-998
    • Zhang, P.1    Jiang, H.2    Huang, Y.3    Geubelle, P.H.4    Huang, K.C.5
  • 24
    • 0036721938 scopus 로고    scopus 로고
    • An atomistic-based finite deformation membrane for single layer crystalline films
    • Arroyo M., Belytschko T. An atomistic-based finite deformation membrane for single layer crystalline films. J. Mech. Phys. Solids 2002, 50:977-998.
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 977-998
    • Arroyo, M.1    Belytschko, T.2
  • 25
    • 1442264772 scopus 로고    scopus 로고
    • Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes
    • Arroyo M., Belytschko T. Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes. Int. J. Numer. Methods Engrg. 2004, 59:419-456.
    • (2004) Int. J. Numer. Methods Engrg. , vol.59 , pp. 419-456
    • Arroyo, M.1    Belytschko, T.2
  • 26
    • 0142059621 scopus 로고    scopus 로고
    • On higher gradients in continuum-atomistic modeling
    • Sunyk P., Steinmann P. On higher gradients in continuum-atomistic modeling. Int. J. Solids Struct. 2003, 40:419-456.
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 419-456
    • Sunyk, P.1    Steinmann, P.2
  • 27
    • 29244449342 scopus 로고    scopus 로고
    • Mechanical properties of single-walled carbon nanotubes based on higher order Cauchy-Born rule
    • Guo X., Wang J.B., Zhang H.W. Mechanical properties of single-walled carbon nanotubes based on higher order Cauchy-Born rule. Int. J. Solids Struct. 2006, 43:1276-1290.
    • (2006) Int. J. Solids Struct. , vol.43 , pp. 1276-1290
    • Guo, X.1    Wang, J.B.2    Zhang, H.W.3
  • 28
    • 33645318152 scopus 로고    scopus 로고
    • Energy and mechanical properties of single-walled carbon nanotubes predicted using the higher order Cauchy-Born rule
    • Wang J.B., Guo X., Zhang H.W., Wang L., Liao J.B. Energy and mechanical properties of single-walled carbon nanotubes predicted using the higher order Cauchy-Born rule. Phys. Rev. B 2006, 73:115-428.
    • (2006) Phys. Rev. B , vol.73 , pp. 115-428
    • Wang, J.B.1    Guo, X.2    Zhang, H.W.3    Wang, L.4    Liao, J.B.5
  • 29
    • 0013116104 scopus 로고    scopus 로고
    • Moving least square differential quadrature method and its application to the analysis of shear deformable plates
    • Liew K.M., Huang Y.Q., Reddy J.N. Moving least square differential quadrature method and its application to the analysis of shear deformable plates. Int. J. Numer. Methods Engrg. 2003, 56:2331-2351.
    • (2003) Int. J. Numer. Methods Engrg. , vol.56 , pp. 2331-2351
    • Liew, K.M.1    Huang, Y.Q.2    Reddy, J.N.3
  • 30
    • 14944361362 scopus 로고    scopus 로고
    • Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method
    • Peng L.X., Kitipornchai S., Liew K.M. Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method. Int. J. Mech. Sci. 2005, 47:251-276.
    • (2005) Int. J. Mech. Sci. , vol.47 , pp. 251-276
    • Peng, L.X.1    Kitipornchai, S.2    Liew, K.M.3
  • 31
    • 0037422621 scopus 로고    scopus 로고
    • Moving Kriging interpolation and element-free Galerkin method
    • Gu L. Moving Kriging interpolation and element-free Galerkin method. Int. J. Numer. Methods Engrg. 2003, 56:1-11.
    • (2003) Int. J. Numer. Methods Engrg. , vol.56 , pp. 1-11
    • Gu, L.1
  • 32
    • 60949102515 scopus 로고    scopus 로고
    • A moving Kriging interpolation-based meshless method for numerical simulation of Kirchhoff plate problems
    • Tinh Q.B., Tan N.N., Huang N.D. A moving Kriging interpolation-based meshless method for numerical simulation of Kirchhoff plate problems. Int. J. Numer. Methods Engrg. 2009, 77:1371-1395.
    • (2009) Int. J. Numer. Methods Engrg. , vol.77 , pp. 1371-1395
    • Tinh, Q.B.1    Tan, N.N.2    Huang, N.D.3
  • 33
    • 36949020476 scopus 로고    scopus 로고
    • Further investigation of element-free Galerkin method using moving Kriging interpolation
    • Tonsuk P., Kanok-Nukulchai W. Further investigation of element-free Galerkin method using moving Kriging interpolation. Int. J. Comput. Methods 2004, 1:345-365.
    • (2004) Int. J. Comput. Methods , vol.1 , pp. 345-365
    • Tonsuk, P.1    Kanok-Nukulchai, W.2
  • 34
    • 36949018703 scopus 로고    scopus 로고
    • A meshless analysis of shells based on moving Kringing interpolation
    • Sayakourmmane V., Kanok-Nukulchai W. A meshless analysis of shells based on moving Kringing interpolation. Int. J. Comput. Methods 2007, 4:543-565.
    • (2007) Int. J. Comput. Methods , vol.4 , pp. 543-565
    • Sayakourmmane, V.1    Kanok-Nukulchai, W.2
  • 35
    • 0030269548 scopus 로고    scopus 로고
    • Crack tip fields in strain gradient plasticity
    • Xia Z.C., Hutchinson J.W. Crack tip fields in strain gradient plasticity. J. Mech. Phys. Solids 1996, 44:1621-1648.
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 1621-1648
    • Xia, Z.C.1    Hutchinson, J.W.2
  • 36
    • 0242285511 scopus 로고    scopus 로고
    • Analysis of materials with strain-gradient effects: a meshless local Petrov-Galerkin (MLPG), with nodal displacements only
    • Tang Z., Shen S., Atluri S.N. Analysis of materials with strain-gradient effects: a meshless local Petrov-Galerkin (MLPG), with nodal displacements only. Comput. Model. Engrg. Sci. 2004, 4:177-196.
    • (2004) Comput. Model. Engrg. Sci. , vol.4 , pp. 177-196
    • Tang, Z.1    Shen, S.2    Atluri, S.N.3
  • 37
    • 44749092177 scopus 로고    scopus 로고
    • The buckling of single-walled carbon nanotubes upon bending: the higher order gradient continuum and mesh-free method
    • Sun Y.Z., Liew K.M. The buckling of single-walled carbon nanotubes upon bending: the higher order gradient continuum and mesh-free method. Comput. Methods Appl. Mech. Engrg. 2008, 197:3001-3013.
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , pp. 3001-3013
    • Sun, Y.Z.1    Liew, K.M.2
  • 38
    • 42049100359 scopus 로고    scopus 로고
    • Mesh-free simulation of single-walled carbon nanotubes using higher order Cauchy-Born rule
    • Sun Y.Z., Liew K.M. Mesh-free simulation of single-walled carbon nanotubes using higher order Cauchy-Born rule. Comput. Mater. Sci. 2008, 42:444-452.
    • (2008) Comput. Mater. Sci. , vol.42 , pp. 444-452
    • Sun, Y.Z.1    Liew, K.M.2
  • 39
    • 44449088503 scopus 로고    scopus 로고
    • Elastic properties and pressure-induced structural transitions of single-walled carbon nanotubes
    • Liew K.M., Sun Y.Z. Elastic properties and pressure-induced structural transitions of single-walled carbon nanotubes. Phys. Rev. B 2008, 77:205437.
    • (2008) Phys. Rev. B , vol.77 , pp. 205437
    • Liew, K.M.1    Sun, Y.Z.2
  • 40
    • 16444366630 scopus 로고
    • New empirical approach for the structure and energy of covalent systems
    • Tersoff J. New empirical approach for the structure and energy of covalent systems. Phys. Rev. B 1988, 37:6991-7000.
    • (1988) Phys. Rev. B , vol.37 , pp. 6991-7000
    • Tersoff, J.1
  • 41
    • 33644817086 scopus 로고
    • Empirical potential for hydrocarbons for use in simulating the chemical vapour deposition of diamond films
    • Brenner D.W. Empirical potential for hydrocarbons for use in simulating the chemical vapour deposition of diamond films. Phys. Rev. B 1990, 42:9458-9471.
    • (1990) Phys. Rev. B , vol.42 , pp. 9458-9471
    • Brenner, D.W.1
  • 42
    • 3242834384 scopus 로고    scopus 로고
    • Exceptionally high Young's modulus observed for individual carbon nanotubes
    • Treacy M.M.J., Ebbesen T.W., Gibson J.M. Exceptionally high Young's modulus observed for individual carbon nanotubes. Nature 1996, 381:678-680.
    • (1996) Nature , vol.381 , pp. 678-680
    • Treacy, M.M.J.1    Ebbesen, T.W.2    Gibson, J.M.3
  • 43
    • 0030800875 scopus 로고    scopus 로고
    • Nanobeam mechanics: elasticity, strength and toughness of nanorods and nanotubes
    • Wong E.W., Sheehan P.E., Lieber C.M. Nanobeam mechanics: elasticity, strength and toughness of nanorods and nanotubes. Science 1997, 277:1971-1975.
    • (1997) Science , vol.277 , pp. 1971-1975
    • Wong, E.W.1    Sheehan, P.E.2    Lieber, C.M.3
  • 45
    • 0034667108 scopus 로고    scopus 로고
    • Elastic buckling of single-walled carbon nanotubes ropes under high pressure
    • Ru C.Q. Elastic buckling of single-walled carbon nanotubes ropes under high pressure. Phys. Rev. B 2000, 62:10405-10408.
    • (2000) Phys. Rev. B , vol.62 , pp. 10405-10408
    • Ru, C.Q.1
  • 46
    • 33745778210 scopus 로고    scopus 로고
    • Postbuckling prediction of axially loaded double-walled carbon nanotubes with temperature dependent properties and initial defects
    • Shen H.S., Zhang C.L. Postbuckling prediction of axially loaded double-walled carbon nanotubes with temperature dependent properties and initial defects. Phys. Rev. B 2006, 74:035410.
    • (2006) Phys. Rev. B , vol.74 , pp. 035410
    • Shen, H.S.1    Zhang, C.L.2
  • 47
    • 0012393080 scopus 로고    scopus 로고
    • Elastic moduli of multi-walled carbon nanotube and the effect of van der Waals forces
    • Li C.Y., Chou T.W. Elastic moduli of multi-walled carbon nanotube and the effect of van der Waals forces. Compos. Sci. Technol. 2003, 63:1517-1524.
    • (2003) Compos. Sci. Technol. , vol.63 , pp. 1517-1524
    • Li, C.Y.1    Chou, T.W.2
  • 48
    • 0037409356 scopus 로고    scopus 로고
    • Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model
    • Chang T.C., Gao H.J. Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. J. Mech. Phys. Solids 2003, 51:1059-1074.
    • (2003) J. Mech. Phys. Solids , vol.51 , pp. 1059-1074
    • Chang, T.C.1    Gao, H.J.2
  • 49
    • 9644264224 scopus 로고    scopus 로고
    • Elastic axial buckling of carbon nanotubes via a molecular mechanics model
    • Chang T.C., Li G.Q., Guo X.M. Elastic axial buckling of carbon nanotubes via a molecular mechanics model. Carbon 2005, 43:287-294.
    • (2005) Carbon , vol.43 , pp. 287-294
    • Chang, T.C.1    Li, G.Q.2    Guo, X.M.3
  • 50
    • 27144534318 scopus 로고    scopus 로고
    • Buckling of multiwalled carbon nanotubes under axial compression and bending via a molecular mechanics model
    • Chang T.C., Guo W.L., Guo X.M. Buckling of multiwalled carbon nanotubes under axial compression and bending via a molecular mechanics model. Phys. Rev. B 2005, 72:064101.
    • (2005) Phys. Rev. B , vol.72 , pp. 064101
    • Chang, T.C.1    Guo, W.L.2    Guo, X.M.3
  • 51
    • 33646246431 scopus 로고    scopus 로고
    • Buckling of single-walled carbon nanotubes upon bending: molecular dynamics simulations and finite element method
    • Cao G.X., Chen X. Buckling of single-walled carbon nanotubes upon bending: molecular dynamics simulations and finite element method. Phys. Rev. B 2006, 73:155-435.
    • (2006) Phys. Rev. B , vol.73 , pp. 155-435
    • Cao, G.X.1    Chen, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.