메뉴 건너뛰기




Volumn 56, Issue 4, 2008, Pages 1450-1459

Shocks and slip systems: Predictions from a mesoscale theory of continuum dislocation dynamics

Author keywords

Burgers equations; Dislocations; Plasticity; Shocks; Singularity formation

Indexed keywords

BURGERS VECTOR; GRAIN BOUNDARIES; MOLECULAR DYNAMICS; PLASTIC DEFORMATION; PLASTICITY; RESIDUAL STRESSES; SHOCK PROBLEMS; SLIP FORMING;

EID: 40849105350     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2007.08.008     Document Type: Article
Times cited : (12)

References (61)
  • 1
    • 0021502102 scopus 로고
    • On the microstructural origin of certain inelastic models
    • Aifantis E.C. On the microstructural origin of certain inelastic models. Trans. ASME J. Eng. Mater. Technol. 106 (1984) 326-330
    • (1984) Trans. ASME J. Eng. Mater. Technol. , vol.106 , pp. 326-330
    • Aifantis, E.C.1
  • 2
    • 40849117667 scopus 로고    scopus 로고
    • Aifantis, E.C., 1984b. Towards a continuum approach to dislocation patterning. In: Markenscoff, X. (Ed.), Dislocations in Solids-Recent Advances, AMD-63, ASME, New York, pp. 23-33.
    • Aifantis, E.C., 1984b. Towards a continuum approach to dislocation patterning. In: Markenscoff, X. (Ed.), Dislocations in Solids-Recent Advances, AMD-63, ASME, New York, pp. 23-33.
  • 3
    • 0036722053 scopus 로고    scopus 로고
    • Modeling the evolution of crystallographic dislocation density in crystal plasticity
    • Arsenlis A., and Parks D.M. Modeling the evolution of crystallographic dislocation density in crystal plasticity. J. Mech. Phys. Solids 50 (2002) 1979-2009
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 1979-2009
    • Arsenlis, A.1    Parks, D.M.2
  • 4
    • 1642633227 scopus 로고    scopus 로고
    • On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals
    • Arsenlis A., Parks D.M., Becker R., and Bulatov V.V. On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals. J. Mech. Phys. Solids 52 (2004) 1213-1246
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1213-1246
    • Arsenlis, A.1    Parks, D.M.2    Becker, R.3    Bulatov, V.V.4
  • 5
    • 1542722202 scopus 로고    scopus 로고
    • The mechanics of deformation-induced subgrain-dislocation structures in metallic crystals at large strains
    • Aubry S., and Ortiz M. The mechanics of deformation-induced subgrain-dislocation structures in metallic crystals at large strains. Proc. R. Soc. London A 451 (2003) 3131-3158
    • (2003) Proc. R. Soc. London A , vol.451 , pp. 3131-3158
    • Aubry, S.1    Ortiz, M.2
  • 6
    • 33847684218 scopus 로고    scopus 로고
    • Avalanche size scaling in sheared three-dimensional amorphous solid
    • Bailey N.P., Schiøtz J., Lemaître A., and Jacobsen K.W. Avalanche size scaling in sheared three-dimensional amorphous solid. Phys. Rev. Lett. 98 (2007) 095501
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 095501
    • Bailey, N.P.1    Schiøtz, J.2    Lemaître, A.3    Jacobsen, K.W.4
  • 7
    • 0000510068 scopus 로고    scopus 로고
    • Stochastic approach for modeling dislocation patterning
    • Bakó B., and Groma I. Stochastic approach for modeling dislocation patterning. Phys. Rev. B 60 1 (1999) 122-127
    • (1999) Phys. Rev. B , vol.60 , Issue.1 , pp. 122-127
    • Bakó, B.1    Groma, I.2
  • 8
    • 0035442455 scopus 로고    scopus 로고
    • On the spatial arrangement of lattice orientations in hot-rolled multiphase titanium
    • Barton N.R., and Dawson P.R. On the spatial arrangement of lattice orientations in hot-rolled multiphase titanium. Modelling Simul. Mater. Sci. Eng. 9 (2001) 433-463
    • (2001) Modelling Simul. Mater. Sci. Eng. , vol.9 , pp. 433-463
    • Barton, N.R.1    Dawson, P.R.2
  • 9
    • 0038969669 scopus 로고    scopus 로고
    • Simulation and theory of polygonization in single glide
    • Barts D.B., and Carlsson A.E. Simulation and theory of polygonization in single glide. Philos. Mag. A 75 (1997) 541-562
    • (1997) Philos. Mag. A , vol.75 , pp. 541-562
    • Barts, D.B.1    Carlsson, A.E.2
  • 11
    • 25444519946 scopus 로고    scopus 로고
    • The stored energy of cold work: predictions from discrete dislocation plasticity
    • Benzerga A.A., Bréchet Y., Needleman A., and Van der Giessen E. The stored energy of cold work: predictions from discrete dislocation plasticity. Acta Materialia 53 (2005) 4765-4779
    • (2005) Acta Materialia , vol.53 , pp. 4765-4779
    • Benzerga, A.A.1    Bréchet, Y.2    Needleman, A.3    Van der Giessen, E.4
  • 12
    • 30244532821 scopus 로고
    • Dislocation patterning in uniaxial deformation
    • Bréchet Y., and Louchet F. Dislocation patterning in uniaxial deformation. Solid State Phenom. 3-4 (1988) 335-346
    • (1988) Solid State Phenom. , vol.3-4 , pp. 335-346
    • Bréchet, Y.1    Louchet, F.2
  • 13
    • 40849097087 scopus 로고    scopus 로고
    • Theory of shock waves clears up the puzzling graininess of crystals
    • Cho A. Theory of shock waves clears up the puzzling graininess of crystals. Science 311 (2006) 1361
    • (2006) Science , vol.311 , pp. 1361
    • Cho, A.1
  • 14
    • 17444429601 scopus 로고    scopus 로고
    • Dislocation microstructures and the effective behavior of single crystals
    • Conti S., and Ortiz M. Dislocation microstructures and the effective behavior of single crystals. Arch. Rational Mech. Anal. 176 (2005) 103-147
    • (2005) Arch. Rational Mech. Anal. , vol.176 , pp. 103-147
    • Conti, S.1    Ortiz, M.2
  • 15
    • 0036836560 scopus 로고    scopus 로고
    • Finite element modeling of lattice misorientations in aluminum polycrystals
    • Dawson P.R., Mika D.P., and Barton N.R. Finite element modeling of lattice misorientations in aluminum polycrystals. Scr. Materialia 47 (2002) 713-717
    • (2002) Scr. Materialia , vol.47 , pp. 713-717
    • Dawson, P.R.1    Mika, D.P.2    Barton, N.R.3
  • 17
    • 11544250757 scopus 로고    scopus 로고
    • Dynamics of viscoplastic deformation in amorphous solids
    • Falk M.L., and Langer J.S. Dynamics of viscoplastic deformation in amorphous solids. Phys. Rev. E 57 (1998) 7192-7205
    • (1998) Phys. Rev. E , vol.57 , pp. 7192-7205
    • Falk, M.L.1    Langer, J.S.2
  • 18
    • 0027841038 scopus 로고
    • A phenomenological theory for strain gradient effects in plasticity
    • Fleck N.A., and Hutchinson J.W. A phenomenological theory for strain gradient effects in plasticity. J. Mech. Phys. Solids 41 (1993) 1825-1857
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1825-1857
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 19
    • 0042659488 scopus 로고    scopus 로고
    • Formation of dislocation patterns: computer simulations
    • Fournet R., and Salazar J.M. Formation of dislocation patterns: computer simulations. Phys. Rev. B 53 (1996) 6283-6290
    • (1996) Phys. Rev. B , vol.53 , pp. 6283-6290
    • Fournet, R.1    Salazar, J.M.2
  • 20
    • 0002447660 scopus 로고    scopus 로고
    • Burgulence
    • Lesieur M., Yaglom A., and David F. (Eds), Springer EDP-Sciences, Berlin
    • Frisch U., and Bec J. Burgulence. In: Lesieur M., Yaglom A., and David F. (Eds). Les Houches 2000: New Trends in Turbulence (2001), Springer EDP-Sciences, Berlin 341-383
    • (2001) Les Houches 2000: New Trends in Turbulence , pp. 341-383
    • Frisch, U.1    Bec, J.2
  • 21
    • 0025208540 scopus 로고
    • A dislocation model for creep in engineering materials
    • Ghoniem N.M., Matthews J.R., and Amodeo R.J. A dislocation model for creep in engineering materials. Res. Mech. 29 (1990) 197-219
    • (1990) Res. Mech. , vol.29 , pp. 197-219
    • Ghoniem, N.M.1    Matthews, J.R.2    Amodeo, R.J.3
  • 22
    • 33645519353 scopus 로고    scopus 로고
    • Dislocation patterns and the similitude principle: 2.5d mesoscale simulations
    • Gómez-García D., Devincre B., and Kubin L. Dislocation patterns and the similitude principle: 2.5d mesoscale simulations. Phys. Rev. Lett. 96 (2006) 125503
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 125503
    • Gómez-García, D.1    Devincre, B.2    Kubin, L.3
  • 23
    • 0001551582 scopus 로고    scopus 로고
    • Link between the microscopic and mesoscopic length-scale description of the collective behavior of dislocations
    • Groma I. Link between the microscopic and mesoscopic length-scale description of the collective behavior of dislocations. Phys. Rev. B 56 10 (1997) 5807-5813
    • (1997) Phys. Rev. B , vol.56 , Issue.10 , pp. 5807-5813
    • Groma, I.1
  • 24
    • 0001237482 scopus 로고    scopus 로고
    • Dislocation patterning: from micro- to mesoscale description
    • Groma I., and Bakó B. Dislocation patterning: from micro- to mesoscale description. Phys. Rev. Lett. 84 (2000) 1487-1490
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 1487-1490
    • Groma, I.1    Bakó, B.2
  • 25
    • 21144483145 scopus 로고
    • Computer simulation of plastic behavior of single crystals
    • Groma I., and Pawley G.S. Computer simulation of plastic behavior of single crystals. Philos. Mag. A 67 (1993) 1459-1470
    • (1993) Philos. Mag. A , vol.67 , pp. 1459-1470
    • Groma, I.1    Pawley, G.S.2
  • 26
    • 0027592790 scopus 로고
    • Role of secondary slip system in a computer simulation model of plastic behavior of single crystals
    • Groma I., and Pawley G.S. Role of secondary slip system in a computer simulation model of plastic behavior of single crystals. Mater. Sci. Eng. A 164 (1993) 306-311
    • (1993) Mater. Sci. Eng. A , vol.164 , pp. 306-311
    • Groma, I.1    Pawley, G.S.2
  • 27
    • 0343054815 scopus 로고
    • Simulation of dislocation microstructures in two dimensions. II. Dynamic and relaxed structures
    • Gullouglu A.N., and Hartly C.S. Simulation of dislocation microstructures in two dimensions. II. Dynamic and relaxed structures. Modelling Simul. Mater. Sci. Eng. 1 4 (1993) 383-402
    • (1993) Modelling Simul. Mater. Sci. Eng. , vol.1 , Issue.4 , pp. 383-402
    • Gullouglu, A.N.1    Hartly, C.S.2
  • 29
    • 0030147874 scopus 로고    scopus 로고
    • On the foundations of stochastic dislocation dynamics
    • Hähner P. On the foundations of stochastic dislocation dynamics. Appl. Phys. A 62 (1996) 473-481
    • (1996) Appl. Phys. A , vol.62 , pp. 473-481
    • Hähner, P.1
  • 30
    • 40849148245 scopus 로고    scopus 로고
    • Hirth, J.P., Lothe, J., 1992. Theory of Dislocations. Reprint ed. Krieger, New York, p. 105 (chapter 4).
    • Hirth, J.P., Lothe, J., 1992. Theory of Dislocations. Reprint ed. Krieger, New York, p. 105 (chapter 4).
  • 31
    • 0014823046 scopus 로고
    • Dislocation cell formation in metals
    • Holt D.L. Dislocation cell formation in metals. J. Appl. Phys. 41 (1970) 3197-3201
    • (1970) J. Appl. Phys. , vol.41 , pp. 3197-3201
    • Holt, D.L.1
  • 32
    • 0342674614 scopus 로고
    • The deformation of field in an isotropic elastic medium containing moving dislocations
    • Kosevich A.M. The deformation of field in an isotropic elastic medium containing moving dislocations. Sov. Phys. JETP 15 (1962) 108-115
    • (1962) Sov. Phys. JETP , vol.15 , pp. 108-115
    • Kosevich, A.M.1
  • 33
    • 9144270196 scopus 로고    scopus 로고
    • A multi-phase field model of planar dislocation networks
    • Koslowski M., and Ortiz M. A multi-phase field model of planar dislocation networks. Modelling Simul. Mater. Sci. Eng. 12 (2004) 1087-1097
    • (2004) Modelling Simul. Mater. Sci. Eng. , vol.12 , pp. 1087-1097
    • Koslowski, M.1    Ortiz, M.2
  • 34
    • 0025431379 scopus 로고
    • Derivation of mughrabi's cellular structure model from synergetics of dislocations
    • Kratochvil J. Derivation of mughrabi's cellular structure model from synergetics of dislocations. Scr. Metall. Mater. 24 (1990) 891
    • (1990) Scr. Metall. Mater. , vol.24 , pp. 891
    • Kratochvil, J.1
  • 35
    • 0025464963 scopus 로고
    • Instability origin of dislocation cell misorientation
    • Kratochvil J. Instability origin of dislocation cell misorientation. Scr. Metall. Mater. 24 (1990) 1225-1228
    • (1990) Scr. Metall. Mater. , vol.24 , pp. 1225-1228
    • Kratochvil, J.1
  • 37
    • 0024701870 scopus 로고
    • Theory of plastic deformation: properties of low energy dislocation structures
    • Kuhlmann-Wilsdorf D. Theory of plastic deformation: properties of low energy dislocation structures. Mater. Sci. Eng. A 113 (1989) 1-41
    • (1989) Mater. Sci. Eng. A , vol.113 , pp. 1-41
    • Kuhlmann-Wilsdorf, D.1
  • 38
    • 0029304659 scopus 로고
    • Technological high strain deformation of 'wavy glide' metals and leds
    • Kuhlmann-Wilsdorf D. Technological high strain deformation of 'wavy glide' metals and leds. Phys. Status Solidi (a) 149 (1995) 225-241
    • (1995) Phys. Status Solidi (a) , vol.149 , pp. 225-241
    • Kuhlmann-Wilsdorf, D.1
  • 39
    • 0035396919 scopus 로고    scopus 로고
    • Microstructural shear localization in plastic deformation of amorphous solids
    • Langer J.S. Microstructural shear localization in plastic deformation of amorphous solids. Phys. Rev. E 64 (1998) 011504-011506
    • (1998) Phys. Rev. E , vol.64 , pp. 011504-011506
    • Langer, J.S.1
  • 40
    • 0023366490 scopus 로고
    • The dynamic organization of dislocation structures: a simulation
    • Lepinoux J., and Kubin L.P. The dynamic organization of dislocation structures: a simulation. Scr. Metall. 21 (1987) 833-838
    • (1987) Scr. Metall. , vol.21 , pp. 833-838
    • Lepinoux, J.1    Kubin, L.P.2
  • 41
    • 33644880882 scopus 로고    scopus 로고
    • Mesoscale theory of grains and cells: crystal plasticity and coarsening
    • Limkumnerd S., and Sethna J.P. Mesoscale theory of grains and cells: crystal plasticity and coarsening. Phys. Rev. Lett. 96 (2006) 095503
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 095503
    • Limkumnerd, S.1    Sethna, J.P.2
  • 42
    • 34347401614 scopus 로고    scopus 로고
    • Stress-free states of continuum dislocation fields: rotations, grain boundaries, and the Nye dislocation density tensor
    • Limkumnerd S., and Sethna J.P. Stress-free states of continuum dislocation fields: rotations, grain boundaries, and the Nye dislocation density tensor. Phys. Rev. B 75 (2007) 224121
    • (2007) Phys. Rev. B , vol.75 , pp. 224121
    • Limkumnerd, S.1    Sethna, J.P.2
  • 43
    • 0027544424 scopus 로고
    • An analysis of equilibrium dislocation distributions
    • Lubarda V.A., Blume J.A., and Needleman A. An analysis of equilibrium dislocation distributions. Acta Metall. Mater. 41 (1993) 625-642
    • (1993) Acta Metall. Mater. , vol.41 , pp. 625-642
    • Lubarda, V.A.1    Blume, J.A.2    Needleman, A.3
  • 44
    • 33645977797 scopus 로고    scopus 로고
    • A dislocation density based constitutive model for crystal plasticity fem including geometrically necessary dislocations
    • Ma A., Roters F., and Raabe D. A dislocation density based constitutive model for crystal plasticity fem including geometrically necessary dislocations. Acta Materialia 54 (2006) 2169-2179
    • (2006) Acta Materialia , vol.54 , pp. 2169-2179
    • Ma, A.1    Roters, F.2    Raabe, D.3
  • 46
    • 0032633652 scopus 로고    scopus 로고
    • Polycrystal plasticity modelling of intracrystalline boundary textures
    • Mika D.P., and Dawson P.R. Polycrystal plasticity modelling of intracrystalline boundary textures. Acta. Mater. 47 (1999) 1355-1369
    • (1999) Acta. Mater. , vol.47 , pp. 1355-1369
    • Mika, D.P.1    Dawson, P.R.2
  • 47
    • 84996180879 scopus 로고
    • Continuous distribution of moving dislocations
    • Mura T. Continuous distribution of moving dislocations. Philos. Mag. 8 (1963) 843-857
    • (1963) Philos. Mag. , vol.8 , pp. 843-857
    • Mura, T.1
  • 48
    • 50449140340 scopus 로고
    • Some geometrical relations in dislocated crystals
    • Nye J.F. Some geometrical relations in dislocated crystals. Act. Metall. 1 (1953) 153-162
    • (1953) Act. Metall. , vol.1 , pp. 153-162
    • Nye, J.F.1
  • 49
    • 0033076749 scopus 로고    scopus 로고
    • Nonconvex energy minimization and dislocation structures in ductile single crystals
    • Ortiz M., and Repetto E.A. Nonconvex energy minimization and dislocation structures in ductile single crystals. J. Mech. Phys. Solids 47 (1999) 397-462
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 397-462
    • Ortiz, M.1    Repetto, E.A.2
  • 51
    • 33645370637 scopus 로고    scopus 로고
    • On dislocation patterning: multiple slip effects in the rate equation approach
    • Pontes J., Walgraef D., and Aifantis E.C. On dislocation patterning: multiple slip effects in the rate equation approach. Int. J. Plast. 22 (2005) 1486-1505
    • (2005) Int. J. Plast. , vol.22 , pp. 1486-1505
    • Pontes, J.1    Walgraef, D.2    Aifantis, E.C.3
  • 52
    • 0034225906 scopus 로고    scopus 로고
    • Coupling of a crystal plasticity finite-element model with a probabilistic cellular automaton for simulating primary static recrystallization in aluminium
    • Raabe D., and Becker R.C. Coupling of a crystal plasticity finite-element model with a probabilistic cellular automaton for simulating primary static recrystallization in aluminium. Modeling Simul. Mater. Sci. Eng. 8 (2000) 445-462
    • (2000) Modeling Simul. Mater. Sci. Eng. , vol.8 , pp. 445-462
    • Raabe, D.1    Becker, R.C.2
  • 53
    • 33846211071 scopus 로고    scopus 로고
    • A discrete mechanics approach to dislocation dynamics in bcc crystals
    • Ramasubramaniam A., Ariza M.P., and Ortiz M. A discrete mechanics approach to dislocation dynamics in bcc crystals. J. Mech. Phys. Solids 55 (2007) 615-647
    • (2007) J. Mech. Phys. Solids , vol.55 , pp. 615-647
    • Ramasubramaniam, A.1    Ariza, M.P.2    Ortiz, M.3
  • 54
    • 0040350326 scopus 로고    scopus 로고
    • Modelling of dislocation structures in materials
    • Vinãls
    • Rickman J.M., and Vinãls. Modelling of dislocation structures in materials. Philos. Mag. A 75 5 (1997) 1251-1262
    • (1997) Philos. Mag. A , vol.75 , Issue.5 , pp. 1251-1262
    • Rickman, J.M.1
  • 55
    • 9644296030 scopus 로고    scopus 로고
    • Finite element approximation of field dislocation mechanics
    • Roy A., and Acharya A. Finite element approximation of field dislocation mechanics. J. Mech. Phys. Solids 53 (2005) 143-170
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 143-170
    • Roy, A.1    Acharya, A.2
  • 56
    • 0000637403 scopus 로고    scopus 로고
    • The model of formation and disintegration of vein dislocation structure
    • Saxlová M., Kratochvil J., and Zatloukal J. The model of formation and disintegration of vein dislocation structure. Mater. Sci. Eng. A 234-236 (1997) 205-208
    • (1997) Mater. Sci. Eng. A , vol.234-236 , pp. 205-208
    • Saxlová, M.1    Kratochvil, J.2    Zatloukal, J.3
  • 58
    • 0021939001 scopus 로고
    • On the formation and stability of dislocation patterns-I, -II, -III
    • Walgraef D., and Aifantis E.C. On the formation and stability of dislocation patterns-I, -II, -III. Int. J. Eng. Sci. 23 (1985) 1351-1372
    • (1985) Int. J. Eng. Sci. , vol.23 , pp. 1351-1372
    • Walgraef, D.1    Aifantis, E.C.2
  • 60
    • 33646451958 scopus 로고    scopus 로고
    • Scale-invariance in plastic flow of crystalline solids
    • Zaiser M. Scale-invariance in plastic flow of crystalline solids. Adv. Phys. 55 (2006) 85-245
    • (2006) Adv. Phys. , vol.55 , pp. 85-245
    • Zaiser, M.1
  • 61
    • 0000236509 scopus 로고    scopus 로고
    • Statistical dynamics of dislocation systems: the influence of dislocation-dislocation correlations
    • Zaiser M., Miguel M.C., and Groma I. Statistical dynamics of dislocation systems: the influence of dislocation-dislocation correlations. Phys. Rev. B 64 (2001) 224102
    • (2001) Phys. Rev. B , vol.64 , pp. 224102
    • Zaiser, M.1    Miguel, M.C.2    Groma, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.