메뉴 건너뛰기




Volumn 15, Issue 1, 2007, Pages

Studies of validity of the Cauchy-Born rule by direct comparison of continuum and atomistic modelling

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; KINEMATICS; MOLECULAR DYNAMICS; PHASE TRANSITIONS; PLASTIC DEFORMATION; CONTINUUM MECHANICS;

EID: 34247179139     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/15/1/S21     Document Type: Conference Paper
Times cited : (67)

References (23)
  • 1
    • 0038579633 scopus 로고    scopus 로고
    • Atomistic/continuum coupling in computational materials science
    • Curtin W A and Miller R E 2003 Atomistic/continuum coupling in computational materials science Modelling Simul. Mater. Sci. Eng. 11 33-68
    • (2003) Modelling Simul. Mater. Sci. Eng. , vol.11 , pp. 33-68
    • Curtin, W.A.1    Miller, R.E.2
  • 2
    • 0037197988 scopus 로고    scopus 로고
    • Simulating materials failure by using up to one billion atoms and the world's fastes computer: Brittle fracture
    • Abraham F F, Walkup R, Gao H, Duchaineau M, Diaz de la Rubia T and Seager M 2002 Simulating materials failure by using up to one billion atoms and the world's fastes computer: Brittle fracture PNAS 99 5777-82
    • (2002) PNAS , vol.99 , Issue.9 , pp. 5777-5782
    • Abraham, F.F.1    Walkup, R.2    Gao, H.3    Duchaineau, M.4    Diaz De La, R.T.5    Seager, M.6
  • 3
    • 36749113534 scopus 로고
    • Generalized langevin equation approach for atom/solid-surface scattering: General formulation for classical scatterin of harmonic solids
    • Adelman S A and Doll J D 1976 Generalized langevin equation approach for atom/solid-surface scattering: general formulation for classical scatterin of harmonic solids J. Chem. Phys. 64 2375-88
    • (1976) J. Chem. Phys. , vol.64 , Issue.6 , pp. 2375-2388
    • Adelman, S.A.1    Doll, J.D.2
  • 5
    • 0034300238 scopus 로고    scopus 로고
    • Minimizing boundary reflections in coupled-domain simulations
    • Cai W, de Koenig V V, Bulatov M and Yip S 2000 Minimizing boundary reflections in coupled-domain simulations Phys. Rev. Lett. 85 3213-16
    • (2000) Phys. Rev. Lett. , vol.85 , Issue.15 , pp. 3213-3216
    • Cai, W.1    De Koenig, V.V.2    Bulatov, M.3    Yip, S.4
  • 6
    • 0002162989 scopus 로고
    • Phase transformations and material instabilities in solids
    • Ericksen J L 1984 Phase transformations and material instabilities in solids Academic Press 23 1-28
    • (1984) Academic Press , vol.23 , pp. 1-28
    • Ericksen, J.L.1
  • 7
    • 0042964912 scopus 로고    scopus 로고
    • Validity and failure of the Cauchy-Born hypthesis in a two-dimensional mass-spring lattice
    • Friesecke G and Theil F 2002 Validity and failure of the Cauchy-Born hypthesis in a two-dimensional mass-spring lattice J. Nonlinear Sci. 12 445-78
    • (2002) J. Nonlinear Sci. , vol.12 , Issue.5 , pp. 445-478
    • Friesecke, G.1    Theil, F.2
  • 9
    • 0000416218 scopus 로고
    • Fracture simulation using large-scale molecular dynamics
    • Holian B L and Ravelo R 1995 Fracture simulation using large-scale molecular dynamics Phys. Rev. B 51 275-88
    • (1995) Phys. Rev. , vol.51 , Issue.17 , pp. 11275-288
    • Holian, B.L.1    Ravelo, R.2
  • 10
    • 0016966894 scopus 로고
    • Postprocessing of finite element transient response calculations by digital filters
    • Holmes N and Belytschko T 1976 Postprocessing of finite element transient response calculations by digital filters Comput. Structures 6 211-16
    • (1976) Comput. Structures , vol.6 , Issue.3 , pp. 211-216
    • Holmes, N.1    Belytschko, T.2
  • 11
    • 34247195583 scopus 로고    scopus 로고
    • Lambrecht M 2002 Theorie und numerik von materialinstabilitäten elastoplastischer festkörper auf der grundlage inkrementeller variationsformulierungen PhD Thesis
    • (2002) PhD Thesis
    • Lambrecht, M.1
  • 13
    • 7544232175 scopus 로고    scopus 로고
    • Molecular dynamics simulation of crack growth under cyclic loading
    • Nishimura K and Miyazaki N 2004 Molecular dynamics simulation of crack growth under cyclic loading Comput. Mater. Sci.
    • (2004) Comput. Mater. Sci.
    • Nishimura, K.1    Miyazaki, N.2
  • 14
    • 77956688585 scopus 로고    scopus 로고
    • Nanomechanics of defects in solids
    • Ortiz M and Phillis R 1999 Nanomechanics of defects in solids Adv. Appl. Mech. 36 1-71
    • (1999) Adv. Appl. Mech. , vol.36 , pp. 1-71
    • Ortiz, M.1    Phillis, R.2
  • 15
    • 25844433763 scopus 로고    scopus 로고
    • A finite-temperature dynamic coupled atomistic/discrete dislocation method
    • Qu S, Curtin W A and Miller R E 2005 A finite-temperature dynamic coupled atomistic/discrete dislocation method Model. Simul. Mater. Sci. Eng. 13 1101-18
    • (2005) Model. Simul. Mater. Sci. Eng. , vol.13 , Issue.7 , pp. 1101-1118
    • Qu, S.1    Curtin, W.A.2    Miller, R.E.3
  • 18
    • 34247269710 scopus 로고    scopus 로고
    • Sunyk R 2004 On aspects of mixed continuum-atomistic material modelling PhD Thesis
    • (2004) PhD Thesis
    • Sunyk, R.1
  • 19
    • 34247191521 scopus 로고    scopus 로고
    • Localization analysis of mixed continuum-atomistic models
    • Sunyk R and Steinmann P 2001 Localization analysis of mixed continuum-atomistic models J. Phys. IV France 11 251-8
    • (2001) J. Phys. IV France , vol.11 , pp. 251-258
    • Sunyk, R.1    Steinmann, P.2
  • 20
    • 0142059621 scopus 로고    scopus 로고
    • On higher gradients in continuum-atomistic modelling
    • Sunyk R and Steinmann P 2003 On higher gradients in continuum-atomistic modelling Int. J. Solids Structures 40 6877-96
    • (2003) Int. J. Solids Structures , vol.40 , Issue.24 , pp. 6877-6896
    • Sunyk, R.1    Steinmann, P.2
  • 22
  • 23
    • 0000369691 scopus 로고    scopus 로고
    • The Cauchy-Born hypotesis, nonlinear elasticity and mechanical twinning in crystals
    • Zanzotto G 1996 The Cauchy-Born hypotesis, nonlinear elasticity and mechanical twinning in crystals Acta Cryst. A52 839-49
    • (1996) Acta Cryst. , vol.52 , Issue.6 , pp. 839-849
    • Zanzotto, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.