메뉴 건너뛰기




Volumn 100, Issue 1-2, 2010, Pages 63-143

A unified interpretation of stress in molecular systems

Author keywords

Irving Kirkwood Noll procedure; Microscopic interpretation; Spatial averaging; Statistical mechanics; Stress

Indexed keywords

CAUCHY STRESS TENSORS; DOMAIN SIZE; INTERNAL STRUCTURE; LATTICE STATICS; MICROSCOPIC INTERPRETATION; MOLECULAR SYSTEMS; MULTI-BODY; NON EQUILIBRIUM; NONUNIQUENESS; NUMERICAL EXPERIMENTS; SPATIAL AVERAGING; STRESS TENSORS; SYMMETRY PROPERTIES; UNIFIED FRAMEWORK;

EID: 77953621457     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-010-9249-6     Document Type: Article
Times cited : (206)

References (68)
  • 4
    • 0023339433 scopus 로고
    • Distance geometry and related methods for protein structure determination from NMR data
    • 10.1017/S0033583500004108
    • W. Braun 1987 Distance geometry and related methods for protein structure determination from NMR data Q. Rev. Biophys. 19 3/4 115 157 10.1017/S0033583500004108
    • (1987) Q. Rev. Biophys. , vol.19 , Issue.3-4 , pp. 115-157
    • Braun, W.1
  • 5
    • 2842607394 scopus 로고
    • Sur l'éequilibre et le mouvement d'un système du points matériels sollicités par des forces d'attraction ou de répulsion mutuelle
    • Chez de Bure Frères Paris
    • Cauchy, A.: Sur l'éequilibre et le mouvement d'un système du points matériels sollicités par des forces d'attraction ou de répulsion mutuelle. In: Exercises de mathématique, vol. 3, pp. 227-252. Chez de Bure Frères, Paris (1928)
    • (1928) Exercises de Mathématique , vol.3 , pp. 227-252
    • Cauchy, A.1
  • 6
    • 0000890461 scopus 로고
    • De la pression ou tension dans un système de points matériels
    • Chez de Bure Frères Paris
    • Cauchy, A.: De la pression ou tension dans un système de points matériels. In: Exercises de mathématique, vol. 3, pp. 253-277. Chez de Bure Frères, Paris (1928)
    • (1928) Exercises de Mathématique , vol.3 , pp. 253-277
    • Cauchy, A.1
  • 7
    • 36449003769 scopus 로고
    • Atomic level stress in an inhomogeneous system
    • 10.1063/1.350186 1991JAP.70.5688C
    • K.S. Cheung S. Yip 1991 Atomic level stress in an inhomogeneous system J. Appl. Phys. 70 10 5688 5690 10.1063/1.350186 1991JAP.70.5688C
    • (1991) J. Appl. Phys. , vol.70 , Issue.10 , pp. 5688-5690
    • Cheung, K.S.1    Yip, S.2
  • 8
    • 0001473976 scopus 로고
    • On a mechanical theorem applicable to heat
    • R. Clausius 1870 On a mechanical theorem applicable to heat Philos. Mag. 40 122 127
    • (1870) Philos. Mag. , vol.40 , pp. 122-127
    • Clausius, R.1
  • 9
    • 0003098637 scopus 로고    scopus 로고
    • Stress calculation in atomistic simulations of perfect and imperfect solids
    • DOI 10.1063/1.1328406
    • J. Cormier J.M. Rickman T.J. Delph 2001 Stress calculation in atomistic simulations of perfect and imperfect solids J. Appl. Phys. 89 1 99 104 10.1063/1.1328406 2001JAP.89.99C (Pubitemid 33703762)
    • (2001) Journal of Applied Physics , vol.89 , Issue.1 , pp. 99-104
    • Cormier, J.1    Rickman, J.M.2    Delph, T.J.3
  • 10
    • 26044471719 scopus 로고
    • A novel approach to calculation of conformation: Distance geometry
    • 0367.52013 10.1016/0021-9991(77)90112-7 446288 1977JCoPh.24.96C
    • G.M. Crippen 1977 A novel approach to calculation of conformation: distance geometry J. Comput. Phys. 24 96 107 0367.52013 10.1016/0021-9991(77) 90112-7 446288 1977JCoPh.24.96C
    • (1977) J. Comput. Phys. , vol.24 , pp. 96-107
    • Crippen, G.M.1
  • 12
    • 4244079381 scopus 로고
    • Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals
    • 10.1103/PhysRevB.29.6443 1984PhRvB.29.6443D
    • M. Daw M. Baskes 1984 Embedded-atom method: derivation and application to impurities, surfaces, and other defects in metals Phys. Rev. B 29 6443 6453 10.1103/PhysRevB.29.6443 1984PhRvB.29.6443D
    • (1984) Phys. Rev. B , vol.29 , pp. 6443-6453
    • Daw, M.1    Baskes, M.2
  • 13
    • 19944392018 scopus 로고    scopus 로고
    • Conservation laws for multibody interatomic potentials
    • DOI 10.1088/0965-0393/13/4/009, PII S0965039305916537
    • T.J. Delph 2005 Conservation laws for multibody interatomic potentials Model. Simul. Mater. Sci. Eng. 13 585 594 10.1088/0965-0393/13/4/009 2005MSMSE.13.585D (Pubitemid 40753356)
    • (2005) Modelling and Simulation in Materials Science and Engineering , vol.13 , Issue.4 , pp. 585-594
    • Delph, T.J.1
  • 16
    • 84940492598 scopus 로고
    • Interatomic potentials from first-principles calculations-the force-matching method
    • 10.1209/0295-5075/26/8/005 1994EL.26.583E
    • F. Ercolessi J.B. Adams 1994 Interatomic potentials from first-principles calculations-the force-matching method Europhys. Lett. 26 8 583 588 10.1209/0295-5075/26/8/005 1994EL.26.583E
    • (1994) Europhys. Lett. , vol.26 , Issue.8 , pp. 583-588
    • Ercolessi, F.1    Adams, J.B.2
  • 18
    • 0003448545 scopus 로고    scopus 로고
    • American Mathematical Society Providence
    • Evans, L.C.: Partial Differential Equations, vol. 19. American Mathematical Society, Providence (2002)
    • (2002) Partial Differential Equations , vol.19
    • Evans, L.C.1
  • 21
    • 0038845702 scopus 로고
    • A variational proof of the stress theorem of Cauchy
    • 0658.73002 10.1007/BF00250832 968456
    • R.L. Fosdick E.G. Virga 1989 A variational proof of the stress theorem of Cauchy Arch. Ration. Mech. Anal. 105 95 103 0658.73002 10.1007/BF00250832 968456
    • (1989) Arch. Ration. Mech. Anal. , vol.105 , pp. 95-103
    • Fosdick, R.L.1    Virga, E.G.2
  • 23
    • 36749107929 scopus 로고
    • Formulas for determining local properties in molecular dynamics simulation: Shock waves
    • 10.1063/1.442714 663177 1982JChPh.76.622H
    • R.J. Hardy 1982 Formulas for determining local properties in molecular dynamics simulation: Shock waves J. Chem. Phys. 76 1 622 628 10.1063/1.442714 663177 1982JChPh.76.622H
    • (1982) J. Chem. Phys. , vol.76 , Issue.1 , pp. 622-628
    • Hardy, R.J.1
  • 24
    • 6344223043 scopus 로고    scopus 로고
    • Continuum properties from molecular simulations
    • 10.1063/1.1483554 2002AIPC.620.363H
    • R.J. Hardy S. Root D.R. Swanson 2002 Continuum properties from molecular simulations AIP Conf. Proc. 620 363 366 10.1063/1.1483554 2002AIPC.620.363H
    • (2002) AIP Conf. Proc. , vol.620 , pp. 363-366
    • Hardy, R.J.1    Root, S.2    Swanson, D.R.3
  • 25
    • 49049123546 scopus 로고
    • The theory and practice of distance geometry
    • 0524.92003 718540
    • T.F. Havel I.D. Kuntz G.M. Crippen 1983 The theory and practice of distance geometry Bull. Math. Biol. 45 665 720 0524.92003 718540
    • (1983) Bull. Math. Biol. , vol.45 , pp. 665-720
    • Havel, T.F.1    Kuntz, I.D.2    Crippen, G.M.3
  • 27
    • 33646967528 scopus 로고
    • The statistical mechanics theory of transport processes. iv. The equations of hydrodynamics
    • 10.1063/1.1747782 37240 1950JChPh.18.817I
    • J.H. Irving G. Kirkwood 1950 The statistical mechanics theory of transport processes. iv. The equations of hydrodynamics J. Chem. Phys. 18 6 817 829 10.1063/1.1747782 37240 1950JChPh.18.817I
    • (1950) J. Chem. Phys. , vol.18 , Issue.6 , pp. 817-829
    • Irving, J.H.1    Kirkwood, G.2
  • 28
    • 33749670715 scopus 로고    scopus 로고
    • Objective structures
    • DOI 10.1016/j.jmps.2006.05.008, PII S0022509606001049
    • R.D. James 2006 Objective structures J. Mech. Phys. Solids 54 2354 2390 1120.74312 10.1016/j.jmps.2006.05.008 2267118 2006JMPSo.54.2354J (Pubitemid 44556723)
    • (2006) Journal of the Mechanics and Physics of Solids , vol.54 , Issue.11 , pp. 2354-2390
    • James, R.D.1
  • 29
    • 33645063164 scopus 로고
    • The statistical mechanical theory of transport processes
    • 10.1063/1.1724117 1946JChPh.14.180K
    • G. Kirkwood 1946 The statistical mechanical theory of transport processes J. Chem. Phys. 14 180 201 10.1063/1.1724117 1946JChPh.14.180K
    • (1946) J. Chem. Phys. , vol.14 , pp. 180-201
    • Kirkwood, G.1
  • 30
    • 15044340794 scopus 로고
    • Use of Caley-Menger determinants in the calculation of molecular structures
    • 0466.70020 10.1016/0021-9991(80)90004-2 584321 1980JCoPh.37.56K
    • M.H. Klapper D. DeBrota 1980 Use of Caley-Menger determinants in the calculation of molecular structures J. Comput. Phys. 37 56 69 0466.70020 10.1016/0021-9991(80)90004-2 584321 1980JCoPh.37.56K
    • (1980) J. Comput. Phys. , vol.37 , pp. 56-69
    • Klapper, M.H.1    Debrota, D.2
  • 31
    • 0035451516 scopus 로고    scopus 로고
    • An analysis of the quasicontinuum method
    • J. Knap M. Ortiz 2001 An analysis of the quasicontinuum method J. Mech. Phys. Solids 49 9 1899-1923
    • (2001) J. Mech. Phys. Solids , vol.49 , Issue.9 , pp. 1899-1923
    • Knap, J.1    Ortiz, M.2
  • 33
    • 40849086724 scopus 로고    scopus 로고
    • Force flux and the peridynamic stress tensor
    • DOI 10.1016/j.jmps.2007.08.004, PII S0022509607001688
    • R.B. Lehoucq S.A. Silling 2008 Force flux and the peridynamic stress tensor J. Mech. Phys. Solids 56 1566 1577 1171.74319 10.1016/j.jmps.2007.08.004 2404022 2008JMPSo.56.1566L (Pubitemid 351400777)
    • (2008) Journal of the Mechanics and Physics of Solids , vol.56 , Issue.4 , pp. 1566-1577
    • Lehoucq, R.B.1    Silling, S.A.2
  • 36
    • 36549095183 scopus 로고
    • Stress and elastic constants in anisotropic solids: Moleculare dynamics techniques
    • 10.1063/1.341877 1988JAP.64.1152L
    • J.F. Lutsko 1988 Stress and elastic constants in anisotropic solids: moleculare dynamics techniques J. Appl. Phys. 64 3 1152 1154 10.1063/1.341877 1988JAP.64.1152L
    • (1988) J. Appl. Phys. , vol.64 , Issue.3 , pp. 1152-1154
    • Lutsko, J.F.1
  • 38
    • 0000252617 scopus 로고
    • The virial theorem
    • 10.1002/9780470142820.ch4
    • G. Marc W.G. McMillan 1985 The virial theorem Adv. Chem. Phys. 58 209 361 10.1002/9780470142820.ch4
    • (1985) Adv. Chem. Phys. , vol.58 , pp. 209-361
    • Marc, G.1    McMillan, W.G.2
  • 39
    • 0001311151 scopus 로고
    • Many body forces in metals and the Brugger elastic constants
    • 10.1088/0022-3719/8/18/005 1975JPhC.8.2837M
    • J.W. Martin 1975 Many body forces in metals and the Brugger elastic constants J. Phys. C, Solid State Phys. 8 2837 2857 10.1088/0022-3719/8/18/005 1975JPhC.8.2837M
    • (1975) J. Phys. C, Solid State Phys. , vol.8 , pp. 2837-2857
    • Martin, J.W.1
  • 40
    • 84958469724 scopus 로고
    • On reciprocal figures, frames and diagrams of forces
    • J.C. Maxwell 1870 On reciprocal figures, frames and diagrams of forces Transl. R. Soc. Edinb. XXVI 1 43
    • (1870) Transl. R. Soc. Edinb. , vol.26 , pp. 1-43
    • Maxwell, J.C.1
  • 41
    • 0041545488 scopus 로고
    • Van der Waals on the continuity of the gaseous and liquid states
    • 10.1038/010477a0 1874Natur.10.477C
    • J.C. Maxwell 1874 Van der Waals on the continuity of the gaseous and liquid states Nature 10 477 480 10.1038/010477a0 1874Natur.10.477C
    • (1874) Nature , vol.10 , pp. 477-480
    • Maxwell, J.C.1
  • 42
    • 33746471209 scopus 로고    scopus 로고
    • The stress tensor of a molecular system: An exercise in statistical mechanics
    • DOI 10.1063/1.2214719
    • S. Morante G.C. Rossi 2006 The stress tensor of a molecular system: an exercise in statistical mechanics J. Chem. Phys. 125 034,101-1 034,101-11 10.1063/1.2214719 (Pubitemid 44121200)
    • (2006) Journal of Chemical Physics , vol.125 , Issue.3 , pp. 034101
    • Morante, S.1    Rossi, G.C.2    Testa, M.3
  • 43
    • 0004240027 scopus 로고
    • The motivation of continuum concepts and relations from discrete considerations
    • 10.1093/qjmam/36.2.163 702977
    • A.I. Murdoch 1982 The motivation of continuum concepts and relations from discrete considerations J. Appl. Math. Mech. 36 163 187 10.1093/qjmam/36.2.163 702977
    • (1982) J. Appl. Math. Mech. , vol.36 , pp. 163-187
    • Murdoch, A.I.1
  • 44
    • 0345761824 scopus 로고    scopus 로고
    • On the microscopic interpretation of stress and couple stress
    • 1057.74004 10.1023/B:ELAS.0000005552.04968.08 2042677
    • A.I. Murdoch 2003 On the microscopic interpretation of stress and couple stress J. Elast. 71 105 131 1057.74004 10.1023/B:ELAS.0000005552.04968.08 2042677
    • (2003) J. Elast. , vol.71 , pp. 105-131
    • Murdoch, A.I.1
  • 45
    • 34547843548 scopus 로고    scopus 로고
    • A critique of atomistic definitions of the stress tensor
    • DOI 10.1007/s10659-007-9121-5
    • A.I. Murdoch 2007 A critique of atomistic definitions of the stress tensor J. Elast. 88 113 140 1120.74005 10.1007/s10659-007-9121-5 2348148 (Pubitemid 47246622)
    • (2007) Journal of Elasticity , vol.88 , Issue.2 , pp. 113-140
    • Murdoch, A.I.1
  • 46
    • 0027675876 scopus 로고
    • On the physical interpretation of fields in continuum mechanics
    • DOI 10.1016/0020-7225(93)90002-C
    • A.I. Murdoch D. Bedeaux 1993 On the physical interpretation of fields in continuum mechanics Int. J. Eng. Sci. 31 10 1345 1373 0781.73003 10.1016/0020-7225(93)90002-C 1229215 (Pubitemid 23700589)
    • (1993) International Journal of Engineering Science , vol.31 , Issue.10 , pp. 1345-1373
    • Murdoch, A.I.1    Bedeaux, D.2
  • 47
    • 0001145551 scopus 로고
    • Continuum equations of balance via weighted averages of microscopic quantities
    • 10.1098/rspa.1994.0054 1276907 1994RSPSA.445.157M
    • A.I. Murdoch D. Bedeaux 1994 Continuum equations of balance via weighted averages of microscopic quantities Proc. R. Soc. Lond. A 445 157 179 10.1098/rspa.1994.0054 1276907 1994RSPSA.445.157M
    • (1994) Proc. R. Soc. Lond. A , vol.445 , pp. 157-179
    • Murdoch, A.I.1    Bedeaux, D.2
  • 48
    • 0005831509 scopus 로고
    • Die Herleitung der Grundgleichungen der Thermomechanik der Kontinua aus der statistichen Mechanik
    • 74334
    • W. Noll 1955 Die Herleitung der Grundgleichungen der Thermomechanik der Kontinua aus der statistichen Mechanik J. Ration. Mech. Anal. 4 627 646 74334
    • (1955) J. Ration. Mech. Anal. , vol.4 , pp. 627-646
    • Noll, W.1
  • 49
    • 0025531064 scopus 로고
    • On a statistical-kinetic model for generalized continua
    • 0719.73003 10.1007/BF00375403 1057650
    • M. Pitteri 1990 On a statistical-kinetic model for generalized continua Arch. Ration. Mech. Anal. 111 99 120 0719.73003 10.1007/BF00375403 1057650
    • (1990) Arch. Ration. Mech. Anal. , vol.111 , pp. 99-120
    • Pitteri, M.1
  • 50
    • 18144405777 scopus 로고    scopus 로고
    • A branch-and-prune solver for distance constraints
    • DOI 10.1109/TRO.2004.835450
    • J.M. Porta L. Ros F. Thomas C. Torras 2005 A Branch-and-Prune solver for distance constraints IEEE Trans. Robotics 21 2 176 187 10.1109/TRO.2004.835450 (Pubitemid 40608448)
    • (2005) IEEE Transactions on Robotics , vol.21 , Issue.2 , pp. 176-187
    • Porta, J.M.1    Ros, L.2    Thomas, F.3    Torras, C.4
  • 51
    • 0034339381 scopus 로고    scopus 로고
    • Concurrent coupling of length scales in solid state systems
    • 10.1002/(SICI)1521-3951(200001)217:1<251::AID-PSSB251>3.0.CO;2-A 2000PSSBR.217.251R
    • R.E. Rudd J.Q. Broughton 2000 Concurrent coupling of length scales in solid state systems Phys. Status Solidi B 217 251 291 10.1002/(SICI)1521- 3951(200001)217:1<251::AID-PSSB251>3.0.CO;2-A 2000PSSBR.217.251R
    • (2000) Phys. Status Solidi B , vol.217 , pp. 251-291
    • Rudd, R.E.1    Broughton, J.Q.2
  • 52
    • 0000647692 scopus 로고
    • Statistical mechanics of inhomogeneous fluids
    • 1982RSPSA.379.231S
    • P. Schofield J.R. Henderson 1982 Statistical mechanics of inhomogeneous fluids Proc. R. Soc. Lond. A 379 232 246 1982RSPSA.379.231S
    • (1982) Proc. R. Soc. Lond. A , vol.379 , pp. 232-246
    • Schofield, P.1    Henderson, J.R.2
  • 53
    • 0033100627 scopus 로고    scopus 로고
    • An adaptive methodology for atomic scale mechanics: The quasicontinuum method
    • 0982.74071 10.1016/S0022-5096(98)00051-9 1675219 1999JMPSo.47.611S
    • V.B. Shenoy R. Miller E. Tadmor D. Rodney R. Phillips M. Ortiz 1999 An adaptive methodology for atomic scale mechanics: the quasicontinuum method J. Mech. Phys. Solids 47 611 642 0982.74071 10.1016/S0022-5096(98)00051-9 1675219 1999JMPSo.47.611S
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 611-642
    • Shenoy, V.B.1    Miller, R.2    Tadmor, E.3    Rodney, D.4    Phillips, R.5    Ortiz, M.6
  • 54
    • 1442285900 scopus 로고    scopus 로고
    • Multiscale plasticity modeling: Coupled atomistic and discrete dislocation mechanics
    • 1049.74015 10.1016/j.jmps.2003.09.023 2043105 2004JMPSo.52.755S
    • L.E. Shilkrot R.E. Miller W. Curtin 2004 Multiscale plasticity modeling: coupled atomistic and discrete dislocation mechanics J. Mech. Phys. Solids 52 4 755 787 1049.74015 10.1016/j.jmps.2003.09.023 2043105 2004JMPSo.52.755S
    • (2004) J. Mech. Phys. Solids , vol.52 , Issue.4 , pp. 755-787
    • Shilkrot, L.E.1    Miller, R.E.2    Curtin, W.3
  • 55
    • 0346055020 scopus 로고    scopus 로고
    • Reformulation of elasticity theory for discontinuities and long-range forces
    • 0970.74030 10.1016/S0022-5096(99)00029-0 1727557 2000JMPSo.48.175S
    • S.A. Silling 2000 Reformulation of elasticity theory for discontinuities and long-range forces J. Mech. Phys. Solids 48 175 209 0970.74030 10.1016/S0022-5096(99)00029-0 1727557 2000JMPSo.48.175S
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 175-209
    • Silling, S.A.1
  • 56
    • 0022704535 scopus 로고
    • Caley-Menger coordinates
    • 0587.51013 10.1073/pnas.83.8.2283 839626 1986PNAS.83.2283S
    • M.J. Sippl H.A. Scheraga 1986 Caley-Menger coordinates Proc. Nat. Acad. Sci. 83 2283 2287 0587.51013 10.1073/pnas.83.8.2283 839626 1986PNAS.83.2283S
    • (1986) Proc. Nat. Acad. Sci. , vol.83 , pp. 2283-2287
    • Sippl, M.J.1    Scheraga, H.A.2
  • 57
    • 4243754961 scopus 로고
    • Computer simulation of local order in condensed phases of silicon
    • 10.1103/PhysRevB.31.5262 1985PhRvB.31.5262S
    • H. Stillinger A. Weber 1985 Computer simulation of local order in condensed phases of silicon Phys. Rev. B 31 5262 5271 10.1103/PhysRevB.31.5262 1985PhRvB.31.5262S
    • (1985) Phys. Rev. B , vol.31 , pp. 5262-5271
    • Stillinger, H.1    Weber, A.2
  • 58
    • 70350638572 scopus 로고    scopus 로고
    • A unified framework and performance benchmark of fourteen multiscale atomistic/continuum coupling methods
    • E.B. Tadmor R.E. Miller 2009 A unified framework and performance benchmark of fourteen multiscale atomistic/continuum coupling methods Model. Simul. Mater. Sci. Eng. 17 053,001
    • (2009) Model. Simul. Mater. Sci. Eng. , vol.17 , pp. 053
    • Tadmor, E.B.1    Miller, R.E.2
  • 60
    • 7544236735 scopus 로고
    • Empirical interatomic potential for silicon with improved elastic properties
    • 10.1103/PhysRevB.38.9902 1988PhRvB.38.9902T
    • J. Tersoff 1988 Empirical interatomic potential for silicon with improved elastic properties Phys. Rev. B 38 14 9902 9905 10.1103/PhysRevB.38.9902 1988PhRvB.38.9902T
    • (1988) Phys. Rev. B , vol.38 , Issue.14 , pp. 9902-9905
    • Tersoff, J.1
  • 63
    • 0001543236 scopus 로고
    • The virial theorem and stress calculation in molecular dynamics
    • 10.1063/1.437577 1979JChPh.70.1375T
    • D.H. Tsai 1979 The virial theorem and stress calculation in molecular dynamics J. Chem. Phys. 70 03 1375 1382 10.1063/1.437577 1979JChPh.70.1375T
    • (1979) J. Chem. Phys. , vol.70 , Issue.3 , pp. 1375-1382
    • Tsai, D.H.1
  • 64
    • 0000277662 scopus 로고
    • Uniqueness of the microscopic stress tensor
    • 10.1063/1.469942 1995JChPh.103.9782W
    • E. Wajnryb A.R. Altenberger J.S. Dahler 1995 Uniqueness of the microscopic stress tensor J. Chem. Phys. 103 22 9782 9787 10.1063/1.469942 1995JChPh.103.9782W
    • (1995) J. Chem. Phys. , vol.103 , Issue.22 , pp. 9782-9787
    • Wajnryb, E.1    Altenberger, A.R.2    Dahler, J.S.3
  • 66
    • 1842686579 scopus 로고    scopus 로고
    • A bridging domain method for coupling continua with molecular dynamics
    • DOI 10.1016/j.cma.2003.12.053, PII S004578250400026X
    • S. Xiao T. Belytschko 2004 A bridging domain method for coupling continua with molecular dynamics Comput. Methods Appl. Mech. Eng. 193 1645 1669 1079.74509 10.1016/j.cma.2003.12.053 2069430 (Pubitemid 38462116)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.17-20 , pp. 1645-1669
    • Xiao, S.P.1    Belytschko, T.2
  • 67
    • 1542327302 scopus 로고    scopus 로고
    • A new look at the atomic level virial stress: On continuum-molecular system equivalence
    • DOI 10.1098/rspa.2003.1127
    • M. Zhou 2003 A new look at the atomic level virial stress: on continuum-molecular system equivalence Proc. R. Soc. Lond. A 459 2347 2392 1060.81062 10.1098/rspa.2003.1127 2003RSPSA.459.2347Z (Pubitemid 38328338)
    • (2003) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , vol.459 , Issue.2037 , pp. 2347-2392
    • Zhou, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.