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Volumn 92, Issue 10, 2012, Pages 835-856

Adaptive atomistic-to-continuum modeling of propagating defects

Author keywords

Adaptivity; Bridging domain method; Concurrent multiscale; Crack propagation; Extended finite element method; Fracture

Indexed keywords

ADAPTIVITY; ATOMIC DEGREES OF FREEDOM; ATOMIC DISPLACEMENT; ATOMIC DOMAIN; BRIDGING DOMAINS; COARSE GRAINS; COMPUTATIONAL COSTS; DISLOCATION SLIP; EXTENDED FINITE ELEMENT METHOD; FINITE ELEMENT; FRACTURED SURFACES; MATERIAL DEFECT; MESH REFINEMENT; MULTI-SCALE MODELING; MULTISCALE METHOD; MULTISCALES; SPURIOUS OSCILLATIONS; SUB-DOMAINS; SUBDOMAIN; TIME STEP;

EID: 84869876153     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.4358     Document Type: Article
Times cited : (20)

References (49)
  • 2
    • 0030158774 scopus 로고    scopus 로고
    • Quasicontinuum analysis of defects in solids
    • Tadmor E, Ortiz M, Philips R. Quasicontinuum analysis of defects in solids. Philosophical Magazine A 1996; 73(6):1529-1563.
    • (1996) Philosophical Magazine A , vol.73 , Issue.6 , pp. 1529-1563
    • Tadmor, E.1    Ortiz, M.2    Philips, R.3
  • 3
    • 0242367374 scopus 로고    scopus 로고
    • The quasicontinuum method: overview, applications and current directions
    • Miller R, Tadmor E. The quasicontinuum method: overview, applications and current directions. Journal of Computer-Aided Materials Design 2002; 9(3):203-239.
    • (2002) Journal of Computer-Aided Materials Design , vol.9 , Issue.3 , pp. 203-239
    • Miller, R.1    Tadmor, E.2
  • 5
    • 0001259264 scopus 로고    scopus 로고
    • Coarse-grained molecular dynamics and the atomic limit of finite elements
    • Rudd R, Broughton J. Coarse-grained molecular dynamics and the atomic limit of finite elements. Physical Review B 1998; 58(10):5893-5896.
    • (1998) Physical Review B , vol.58 , Issue.10 , pp. 5893-5896
    • Rudd, R.1    Broughton, J.2
  • 6
    • 29744435714 scopus 로고    scopus 로고
    • Coarse-grained molecular dynamics: nonlinear finite elements and finite temperature
    • Rudd R, Broughton J. Coarse-grained molecular dynamics: nonlinear finite elements and finite temperature. Physical Review B 2005; 72(14):144104.
    • (2005) Physical Review B , vol.72 , Issue.14 , pp. 144104
    • Rudd, R.1    Broughton, J.2
  • 7
    • 1842686579 scopus 로고    scopus 로고
    • A bridging domain method for coupling continua with molecular dynamics
    • DOI: 10.1016/j.cma.2003.12.053.
    • Xiao S, Belytschko T. A bridging domain method for coupling continua with molecular dynamics. Computer Methods in Applied Mechanics and Engineering 2004; 193:1645-1669. DOI: 10.1016/j.cma.2003.12.053.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , pp. 1645-1669
    • Xiao, S.1    Belytschko, T.2
  • 9
    • 47249120087 scopus 로고    scopus 로고
    • On the application of the Arlequin method to the coupling of particle and continuum models
    • Bauman P, Dhia H, Elkhodja N, Oden J, Prudhomme S. On the application of the Arlequin method to the coupling of particle and continuum models. Computational Mechanics 2008; 42(4):511-530.
    • (2008) Computational Mechanics , vol.42 , Issue.4 , pp. 511-530
    • Bauman, P.1    Dhia, H.2    Elkhodja, N.3    Oden, J.4    Prudhomme, S.5
  • 11
    • 57949108255 scopus 로고    scopus 로고
    • Conservation properties of the bridging domain method for coupled molecular/continuum dynamics
    • Xu M, Belytschko T. Conservation properties of the bridging domain method for coupled molecular/continuum dynamics. International Journal for Numerical Methods in Engineering 2008; 76:278-294.
    • (2008) International Journal for Numerical Methods in Engineering , vol.76 , pp. 278-294
    • Xu, M.1    Belytschko, T.2
  • 15
    • 0042858270 scopus 로고    scopus 로고
    • Coupling of atomistic and continuum simulations using a bridging scale decomposition
    • Wagner G, Liu W. Coupling of atomistic and continuum simulations using a bridging scale decomposition. Journal of Computational Physics 2003; 190(1):249-274.
    • (2003) Journal of Computational Physics , vol.190 , Issue.1 , pp. 249-274
    • Wagner, G.1    Liu, W.2
  • 16
    • 0032534356 scopus 로고    scopus 로고
    • Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture
    • Abraham F, Broughton J, Bernstein N, Kaxiras E. Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture. Europhysics Letters 1998; 44(6):783-787.
    • (1998) Europhysics Letters , vol.44 , Issue.6 , pp. 783-787
    • Abraham, F.1    Broughton, J.2    Bernstein, N.3    Kaxiras, E.4
  • 17
    • 17244374413 scopus 로고    scopus 로고
    • Concurrent coupling of length scales: methodology and application
    • Broughton J, Abraham F, Bernstein N, Kaxiras E. Concurrent coupling of length scales: methodology and application. Physical Review B 1999; 60(4):2391-2403.
    • (1999) Physical Review B , vol.60 , Issue.4 , pp. 2391-2403
    • Broughton, J.1    Abraham, F.2    Bernstein, N.3    Kaxiras, E.4
  • 18
  • 19
    • 77954951440 scopus 로고    scopus 로고
    • An adaptive FE-MD model coupling approach
    • Shan W, Nackenhorst U. An adaptive FE-MD model coupling approach. Computational Mechanics 2010; 46:577-596.
    • (2010) Computational Mechanics , vol.46 , pp. 577-596
    • Shan, W.1    Nackenhorst, U.2
  • 20
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions
    • Brandt A. Multi-level adaptive solutions. Mathematics of Computation 1977; 31(138):333-390.
    • (1977) Mathematics of Computation , vol.31 , Issue.138 , pp. 333-390
    • Brandt, A.1
  • 32
    • 79953075608 scopus 로고    scopus 로고
    • An adaptive concurrent multiscale method for the dynamic simulation of dislocations
    • DOI: 10.1002/nme.3112.
    • Gracie R, Belytschko T. An adaptive concurrent multiscale method for the dynamic simulation of dislocations. International Journal for Numerical Methods in Engineering 2011; 86:575-597. DOI: 10.1002/nme.3112.
    • (2011) International Journal for Numerical Methods in Engineering , vol.86 , pp. 575-597
    • Gracie, R.1    Belytschko, T.2
  • 35
  • 37
    • 84869873510 scopus 로고    scopus 로고
    • A virtual internal bond approach to modeling crack nucleation and growth. PhD Thesis, Stanford University
    • Klein P. A virtual internal bond approach to modeling crack nucleation and growth. PhD Thesis, Stanford University, 1999.
    • (1999)
    • Klein, P.1
  • 39
    • 4243754961 scopus 로고
    • Computer simulation of local order in condensed phases of silicon
    • Stillinger FH, Weber TA. Computer simulation of local order in condensed phases of silicon. Physical Review B 1985; 31(8):5262-5271.
    • (1985) Physical Review B , vol.31 , Issue.8 , pp. 5262-5271
    • Stillinger, F.H.1    Weber, T.A.2
  • 40
    • 84869871599 scopus 로고    scopus 로고
    • Applying Cauchy-Born rule for converting atomistic model to continuum model
    • Shan W, Nackenhorst U. Applying Cauchy-Born rule for converting atomistic model to continuum model. Proceedings in Applied Mathematics and Mechanics 2010; 10(1):425-426.
    • (2010) Proceedings in Applied Mathematics and Mechanics , vol.10 , Issue.1 , pp. 425-426
    • Shan, W.1    Nackenhorst, U.2
  • 41
    • 40849106921 scopus 로고    scopus 로고
    • Internal lattice relaxation of single-layer graphene under in-plane deformation
    • DOI: 10.1016/j.jmps.2007.07.013.
    • Zhou J, Huang R. Internal lattice relaxation of single-layer graphene under in-plane deformation. Journal of the Mechanics and Physics of Solids 2008; 56(4):1609-1623. DOI: 10.1016/j.jmps.2007.07.013.
    • (2008) Journal of the Mechanics and Physics of Solids , vol.56 , Issue.4 , pp. 1609-1623
    • Zhou, J.1    Huang, R.2
  • 42
    • 65149091183 scopus 로고    scopus 로고
    • An explicit dynamics extended finite element method. Part 1: mass lumping for arbitrary enrichment functions
    • Elguedj T, Gravouil A, Maigre H. An explicit dynamics extended finite element method. Part 1: mass lumping for arbitrary enrichment functions. Computer Methods in Applied Mechanics and Engineering 2009; 198(30-32):2297-2317.
    • (2009) Computer Methods in Applied Mechanics and Engineering , vol.198 , Issue.30-32 , pp. 2297-2317
    • Elguedj, T.1    Gravouil, A.2    Maigre, H.3
  • 44
    • 33846877365 scopus 로고    scopus 로고
    • Surface Cauchy-Born analysis of surface stress effects on metallic nanowires
    • Park H, Klein P. Surface Cauchy-Born analysis of surface stress effects on metallic nanowires. Physical Review B 2007; 75(8):85408.
    • (2007) Physical Review B , vol.75 , Issue.8 , pp. 85408
    • Park, H.1    Klein, P.2
  • 47
    • 33746000391 scopus 로고    scopus 로고
    • Temperature-related Cauchy-Born rule for multiscale modeling of crystalline solids
    • Xiao S, Yang W. Temperature-related Cauchy-Born rule for multiscale modeling of crystalline solids. Computational Materials Science 2006; 37(3):374-379.
    • (2006) Computational Materials Science , vol.37 , Issue.3 , pp. 374-379
    • Xiao, S.1    Yang, W.2
  • 48
    • 33847767045 scopus 로고    scopus 로고
    • A temperature-related homogenization technique and its implementation in the meshfree particle method for nanoscale simulations
    • Xiao S, Yang W. A temperature-related homogenization technique and its implementation in the meshfree particle method for nanoscale simulations. International Journal for Numerical Methods in Engineering 2007; 69(10):2099-2125.
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , Issue.10 , pp. 2099-2125
    • Xiao, S.1    Yang, W.2
  • 49
    • 38649116903 scopus 로고    scopus 로고
    • Extension of the temperature-related Cauchy-Born rule: material stability analysis and thermo-mechanical coupling
    • Yang W, Xiao S. Extension of the temperature-related Cauchy-Born rule: material stability analysis and thermo-mechanical coupling. Computational Materials Science 2008; 41(4):431-439.
    • (2008) Computational Materials Science , vol.41 , Issue.4 , pp. 431-439
    • Yang, W.1    Xiao, S.2


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