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Volumn 198, Issue 21-26, 2009, Pages 1872-1886

An extended finite element method for dislocations in complex geometries: Thin films and nanotubes

Author keywords

Carbon nanotubes; Dislocations; Extended finite element method; Thin films; Thin shells

Indexed keywords

COMPLEX GEOMETRIES; DISLOCATION LINES; DISLOCATION MODELS; DISLOCATIONS; EDGE DISLOCATIONS; EXTENDED FINITE ELEMENT METHOD; IN SHELLS; PEACH-KOEHLER FORCES; PRISMATIC DISLOCATIONS; STRESS FIELDS; THIN SHELLS; THREE DIMENSIONS;

EID: 63249116608     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.12.025     Document Type: Article
Times cited : (42)

References (49)
  • 1
    • 0000369144 scopus 로고    scopus 로고
    • Parametric dislocation dynamics: a thermodynamics-based approach to investigations of mesoscopic plastic deformation
    • Ghoniem N.M., Tong S.-H., and Sun L.Z. Parametric dislocation dynamics: a thermodynamics-based approach to investigations of mesoscopic plastic deformation. Phys. Rev. B 61 2 (2000) 913-927
    • (2000) Phys. Rev. B , vol.61 , Issue.2 , pp. 913-927
    • Ghoniem, N.M.1    Tong, S.-H.2    Sun, L.Z.3
  • 2
    • 27844550377 scopus 로고    scopus 로고
    • Dislocation motion in anisotropic multilayer materials
    • Ghoniem N.M., and Han X. Dislocation motion in anisotropic multilayer materials. Philos. Mag. 85 24 (2005) 2809-2830
    • (2005) Philos. Mag. , vol.85 , Issue.24 , pp. 2809-2830
    • Ghoniem, N.M.1    Han, X.2
  • 4
    • 22244451379 scopus 로고    scopus 로고
    • Simulation of dislocations on the mesoscopic scale. I: Methods and examples
    • Schwarz K.W. Simulation of dislocations on the mesoscopic scale. I: Methods and examples. J. Appl. Phys. 85 1 (1999) 108-119
    • (1999) J. Appl. Phys. , vol.85 , Issue.1 , pp. 108-119
    • Schwarz, K.W.1
  • 5
    • 0026930285 scopus 로고
    • The modelling of dislocation patterns
    • Kubin L.P., and Canova G. The modelling of dislocation patterns. Scripta Metall. Mater. 27 8 (1992) 957-962
    • (1992) Scripta Metall. Mater. , vol.27 , Issue.8 , pp. 957-962
    • Kubin, L.P.1    Canova, G.2
  • 6
    • 0030201870 scopus 로고    scopus 로고
    • Modeling of deformation by a 3D simulation of multiple, curved dislocations
    • Hirth J.P., Rhee M., and Zbib H. Modeling of deformation by a 3D simulation of multiple, curved dislocations. J. Comput. Aided Mater. Des. 3 1 (1996) 164-166
    • (1996) J. Comput. Aided Mater. Des. , vol.3 , Issue.1 , pp. 164-166
    • Hirth, J.P.1    Rhee, M.2    Zbib, H.3
  • 7
    • 0035451161 scopus 로고    scopus 로고
    • Homogenization method for a discrete-continuum simulation of dislocation dynamics
    • Lemarchand C., Devincre B., and Kubin L.P. Homogenization method for a discrete-continuum simulation of dislocation dynamics. J. Mech. Phys. Solid 49 9 (2001) 1969-1982
    • (2001) J. Mech. Phys. Solid , vol.49 , Issue.9 , pp. 1969-1982
    • Lemarchand, C.1    Devincre, B.2    Kubin, L.P.3
  • 9
    • 10844240202 scopus 로고    scopus 로고
    • A superposition framework for discrete dislocation plasticity
    • O'Day M.P., and Curtin W.A. A superposition framework for discrete dislocation plasticity. JAM 71 (2005) 805
    • (2005) JAM , vol.71 , pp. 805
    • O'Day, M.P.1    Curtin, W.A.2
  • 11
    • 33846113102 scopus 로고    scopus 로고
    • A new fast method for dislocations based on interior discontinuities
    • Gracie R., Ventura G., and Belytschko T. A new fast method for dislocations based on interior discontinuities. Int. J. Numer. Meth. Engrg. 69 (2007) 423-441
    • (2007) Int. J. Numer. Meth. Engrg. , vol.69 , pp. 423-441
    • Gracie, R.1    Ventura, G.2    Belytschko, T.3
  • 12
    • 34547678037 scopus 로고    scopus 로고
    • On xfem applications to dislocations in problems with interfaces
    • Belytschko T., and Gracie R. On xfem applications to dislocations in problems with interfaces. Int. J. Plast. 23 10-11 (2007) 1721-1738
    • (2007) Int. J. Plast. , vol.23 , Issue.10-11 , pp. 1721-1738
    • Belytschko, T.1    Gracie, R.2
  • 13
    • 37849029002 scopus 로고    scopus 로고
    • On a new extended finite element method for dislocations: core enrichments
    • Gracie R., Oswald J., and Belytschko T. On a new extended finite element method for dislocations: core enrichments. J. Mech. Phys. Solid 56 (2008) 200-214
    • (2008) J. Mech. Phys. Solid , vol.56 , pp. 200-214
    • Gracie, R.1    Oswald, J.2    Belytschko, T.3
  • 14
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: basic theory and applications
    • Melenk J.M., and Babuška I. The partition of unity finite element method: basic theory and applications. Comput. Meth. Appl. Mech. Engrg. 139 (1996) 290-314
    • (1996) Comput. Meth. Appl. Mech. Engrg. , vol.139 , pp. 290-314
    • Melenk, J.M.1    Babuška, I.2
  • 16
    • 31144432577 scopus 로고    scopus 로고
    • Superplastic carbon nanotubes - conditions have been discovered that allow extensive deformation of rigid single-walled nanotubes
    • Huang J.Y., Chen S., Wang Z.Q., Kempa K., Wang Y.M., Jo S.H., Chen G., Dresselhaus M.S., and Ren Z.F. Superplastic carbon nanotubes - conditions have been discovered that allow extensive deformation of rigid single-walled nanotubes. Nature 439 7074 (2006) 281-282
    • (2006) Nature , vol.439 , Issue.7074 , pp. 281-282
    • Huang, J.Y.1    Chen, S.2    Wang, Z.Q.3    Kempa, K.4    Wang, Y.M.5    Jo, S.H.6    Chen, G.7    Dresselhaus, M.S.8    Ren, Z.F.9
  • 18
    • 4244114379 scopus 로고    scopus 로고
    • Brittle and ductile behavior in carbon nanotubes
    • Nardelli M.B., Yakobson B.I., and Bernholc J. Brittle and ductile behavior in carbon nanotubes. Phys. Rev. Lett. 81 21 (1998) 4656-4659
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.21 , pp. 4656-4659
    • Nardelli, M.B.1    Yakobson, B.I.2    Bernholc, J.3
  • 19
    • 0000875141 scopus 로고
    • Theoretical studies of icosahedral C60 and some related species
    • Stone A.J., and Wales D.J. Theoretical studies of icosahedral C60 and some related species. Chem. Phys. Lett. 128 5-6 (1986) 501-503
    • (1986) Chem. Phys. Lett. , vol.128 , Issue.5-6 , pp. 501-503
    • Stone, A.J.1    Wales, D.J.2
  • 20
    • 33847066290 scopus 로고    scopus 로고
    • Pseudoclimb and dislocation dynamics in superplastic nanotubes
    • Ding F., Jiao K., Wu M.Q., and Yakobson B.I. Pseudoclimb and dislocation dynamics in superplastic nanotubes. Phys. Rev. Lett. 98 7 (2007)
    • (2007) Phys. Rev. Lett. , vol.98 , Issue.7
    • Ding, F.1    Jiao, K.2    Wu, M.Q.3    Yakobson, B.I.4
  • 21
  • 22
    • 34547373852 scopus 로고    scopus 로고
    • Atomic geometry and energetics of carbon nanotube necking
    • Zhang S., and Zhu T. Atomic geometry and energetics of carbon nanotube necking. Philos. Mag. Lett. 87 8 (2007) 567-574
    • (2007) Philos. Mag. Lett. , vol.87 , Issue.8 , pp. 567-574
    • Zhang, S.1    Zhu, T.2
  • 23
    • 33750050422 scopus 로고    scopus 로고
    • Nanomechanics of carbon tubes: instabilities beyond linear response
    • Yakobson B.I., Brabec C.J., and Bernholc J. Nanomechanics of carbon tubes: instabilities beyond linear response. Phys. Rev. Lett. 76 14 (1996) 2511-2514
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.14 , pp. 2511-2514
    • Yakobson, B.I.1    Brabec, C.J.2    Bernholc, J.3
  • 24
    • 0034670813 scopus 로고    scopus 로고
    • Column buckling of multiwalled carbon nanotubes with interlayer radial displacements
    • Ru C.Q. Column buckling of multiwalled carbon nanotubes with interlayer radial displacements. Phys. Rev. B 62 24 (2000) 16962-16967
    • (2000) Phys. Rev. B , vol.62 , Issue.24 , pp. 16962-16967
    • Ru, C.Q.1
  • 25
    • 0036721938 scopus 로고    scopus 로고
    • An atomistic-based finite deformation membrane for single layer crystalline films
    • Arroyo M., and Belytschko T. An atomistic-based finite deformation membrane for single layer crystalline films. J. Mech. Phys. Solid 50 9 (2002) 1941-1977
    • (2002) J. Mech. Phys. Solid , vol.50 , Issue.9 , pp. 1941-1977
    • Arroyo, M.1    Belytschko, T.2
  • 26
    • 1442264772 scopus 로고    scopus 로고
    • Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes
    • Arroyo M., and Belytschko T. Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes. Int. J. Numer. Meth. Engrg. 59 (2004) 419-456
    • (2004) Int. J. Numer. Meth. Engrg. , vol.59 , pp. 419-456
    • Arroyo, M.1    Belytschko, T.2
  • 27
    • 34249714264 scopus 로고    scopus 로고
    • A bridging domain method for coupled atomistic-continuum modeling of solids
    • Zhang S., Khare R., Lu Q., and Belytschko T. A bridging domain method for coupled atomistic-continuum modeling of solids. Int. J. Numer. Meth. Engrg. 70 (2007) 913-933
    • (2007) Int. J. Numer. Meth. Engrg. , vol.70 , pp. 913-933
    • Zhang, S.1    Khare, R.2    Lu, Q.3    Belytschko, T.4
  • 28
    • 33845440800 scopus 로고    scopus 로고
    • Thickness of graphene and single-wall carbon nanotubes
    • Huang Y., Wu J., and Hwang K.C. Thickness of graphene and single-wall carbon nanotubes. Phys. Rev. B 74 24 (2006) 245413
    • (2006) Phys. Rev. B , vol.74 , Issue.24 , pp. 245413
    • Huang, Y.1    Wu, J.2    Hwang, K.C.3
  • 29
    • 0036148074 scopus 로고    scopus 로고
    • Dislocation plasticity in thin metal films
    • Kraft O., Freund L.B., Phillips R., and Arzt E. Dislocation plasticity in thin metal films. MRS Bull. 27 1 (2002) 30-37
    • (2002) MRS Bull. , vol.27 , Issue.1 , pp. 30-37
    • Kraft, O.1    Freund, L.B.2    Phillips, R.3    Arzt, E.4
  • 30
    • 0001205750 scopus 로고
    • Dislocation dynamics. I: A proposed methodology for deformation micromechanics
    • Amodeo R.J., and Ghoniem N.M. Dislocation dynamics. I: A proposed methodology for deformation micromechanics. Phys. Rev. B 41 (1990) 6958-6967
    • (1990) Phys. Rev. B , vol.41 , pp. 6958-6967
    • Amodeo, R.J.1    Ghoniem, N.M.2
  • 31
    • 0242509034 scopus 로고    scopus 로고
    • Discrete dislocation dynamics study of strained-layer relaxation
    • Schwarz K.W. Discrete dislocation dynamics study of strained-layer relaxation. Phys. Rev. Lett. 91 14 (2003) 145503
    • (2003) Phys. Rev. Lett. , vol.91 , Issue.14 , pp. 145503
    • Schwarz, K.W.1
  • 32
    • 0043148894 scopus 로고    scopus 로고
    • Dislocation sources and the flow stress of polycrystalline thin metal films
    • Blanckenhagen B., Gumbsch P., and Arzt E. Dislocation sources and the flow stress of polycrystalline thin metal films. Philos. Mag. Lett. 83 1 (2003) 1-8
    • (2003) Philos. Mag. Lett. , vol.83 , Issue.1 , pp. 1-8
    • Blanckenhagen, B.1    Gumbsch, P.2    Arzt, E.3
  • 33
    • 15344341472 scopus 로고    scopus 로고
    • Size effects in polycrystalline thin films analyzed by discrete dislocation plasticity
    • Nicola L., Van der Giessen E., and Needleman A. Size effects in polycrystalline thin films analyzed by discrete dislocation plasticity. Thin Solid Films 479 1-2 (2005) 329-338
    • (2005) Thin Solid Films , vol.479 , Issue.1-2 , pp. 329-338
    • Nicola, L.1    Van der Giessen, E.2    Needleman, A.3
  • 34
    • 0034171519 scopus 로고    scopus 로고
    • Subdivision surfaces: a new paradigm for thin-shell finite-element analysis
    • Cirak F., Ortiz M., and Schroder P. Subdivision surfaces: a new paradigm for thin-shell finite-element analysis. Int. J. Numer. Meth. Engrg. 47 12 (2000) 2039-2072
    • (2000) Int. J. Numer. Meth. Engrg. , vol.47 , Issue.12 , pp. 2039-2072
    • Cirak, F.1    Ortiz, M.2    Schroder, P.3
  • 35
    • 0035838509 scopus 로고    scopus 로고
    • Fully c-1-conforming subdivision elements for finite deformation thin-shell analysis
    • Cirak F., and Ortiz M. Fully c-1-conforming subdivision elements for finite deformation thin-shell analysis. Int. J. Numer. Meth. Engrg. 51 7 (2001) 813-833
    • (2001) Int. J. Numer. Meth. Engrg. , vol.51 , Issue.7 , pp. 813-833
    • Cirak, F.1    Ortiz, M.2
  • 36
    • 2142825728 scopus 로고    scopus 로고
    • Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
    • Arroyo M., and Belytschko T. Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule. Phys. Rev. B 69 14 (2004) 115415
    • (2004) Phys. Rev. B , vol.69 , Issue.14 , pp. 115415
    • Arroyo, M.1    Belytschko, T.2
  • 37
    • 0037140062 scopus 로고    scopus 로고
    • Non-planar 3D crack growth by the extended finite element and level sets. Part I: Mechanical model
    • Moes N., Gravouil A., and Belytschko T. Non-planar 3D crack growth by the extended finite element and level sets. Part I: Mechanical model. Int. J. Numer. Meth. Engrg. 53 (2002) 2549-2568
    • (2002) Int. J. Numer. Meth. Engrg. , vol.53 , pp. 2549-2568
    • Moes, N.1    Gravouil, A.2    Belytschko, T.3
  • 38
    • 47249102156 scopus 로고    scopus 로고
    • Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods
    • Gracie R., Wang H., and Belytschko T. Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods. Int. J. Numer. Meth. Engrg. 74 (2007) 1645-1669
    • (2007) Int. J. Numer. Meth. Engrg. , vol.74 , pp. 1645-1669
    • Gracie, R.1    Wang, H.2    Belytschko, T.3
  • 39
    • 60949094717 scopus 로고    scopus 로고
    • Fast integration and weight function blending in the extended finite element method
    • Ventura G., Gracie R., and Belytschko T. Fast integration and weight function blending in the extended finite element method. Int. J. Numer. Meth. Engrg. 77 (2008) 1-29
    • (2008) Int. J. Numer. Meth. Engrg. , vol.77 , pp. 1-29
    • Ventura, G.1    Gracie, R.2    Belytschko, T.3
  • 41
    • 0023164107 scopus 로고
    • The force on a lattic defect in an elastic body
    • Batra R.C. The force on a lattic defect in an elastic body. J. Elast. 17 1 (1987) 3-8
    • (1987) J. Elast. , vol.17 , Issue.1 , pp. 3-8
    • Batra, R.C.1
  • 42
    • 0023594596 scopus 로고
    • A general treatment of crack tip contour integrals
    • Moran B., and Shih C.F. A general treatment of crack tip contour integrals. Int. J. Fract. 35 4 (1987) 295-310
    • (1987) Int. J. Fract. , vol.35 , Issue.4 , pp. 295-310
    • Moran, B.1    Shih, C.F.2
  • 43
    • 0034255073 scopus 로고    scopus 로고
    • Extended finite element method for three-dimensional crack modelling
    • Sukumar N., Moës N., Moran B., and Belytschko T. Extended finite element method for three-dimensional crack modelling. Int. J. Numer. Meth. Engrg. 48 (2000) 1549-1570
    • (2000) Int. J. Numer. Meth. Engrg. , vol.48 , pp. 1549-1570
    • Sukumar, N.1    Moës, N.2    Moran, B.3    Belytschko, T.4
  • 44
    • 36149012981 scopus 로고
    • The forces exerted on dislocations and the stress fields produced by them
    • Peach M., and Koehler J.S. The forces exerted on dislocations and the stress fields produced by them. Phys. Rev. 80 3 (1950) 436-439
    • (1950) Phys. Rev. , vol.80 , Issue.3 , pp. 436-439
    • Peach, M.1    Koehler, J.S.2
  • 48
    • 33646887390 scopus 로고
    • On the limited memory method for large scale optimization
    • Liu D.C., and Nocedal J. On the limited memory method for large scale optimization. Math. Prog. B 45 3 (1989) 503-528
    • (1989) Math. Prog. B , vol.45 , Issue.3 , pp. 503-528
    • Liu, D.C.1    Nocedal, J.2


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