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Volumn 54, Issue 1, 2006, Pages 128-160

A deformation theory of strain gradient crystal plasticity that accounts for geometrically necessary dislocations

Author keywords

Crystal plasticity; Dislocations; Strain gradient plasticity; Strengthening and mechanisms; Variational principles

Indexed keywords

DEFORMATION; DISLOCATIONS (CRYSTALS); KINEMATICS; PLASTICITY; STRAIN; TENSORS; VARIATIONAL TECHNIQUES;

EID: 27844605010     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.08.003     Document Type: Article
Times cited : (80)

References (42)
  • 1
    • 0000364551 scopus 로고    scopus 로고
    • A model of crystal plasticity based on the theory of continuously distributed dislocations
    • A. Acharya A model of crystal plasticity based on the theory of continuously distributed dislocations J. Mech. Phys. Solids 49 2001 761 784
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 761-784
    • Acharya, A.1
  • 2
    • 0033737940 scopus 로고    scopus 로고
    • Lattice incompatibility and a gradient theory of crystal plasticity
    • A. Acharya, and J.L. Bassani Lattice incompatibility and a gradient theory of crystal plasticity J. Mech. Phys. Solids 48 2000 1565 1595
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1565-1595
    • Acharya, A.1    Bassani, J.L.2
  • 3
    • 14544289965 scopus 로고    scopus 로고
    • The role of interfaces in enhancing the yield strength of composites and polycrystals
    • K.E. Aifantis, and J.R. Willis The role of interfaces in enhancing the yield strength of composites and polycrystals J. Mech. Phys. Solids 53 2005 1047 1070
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1047-1070
    • Aifantis, K.E.1    Willis, J.R.2
  • 4
    • 20444457055 scopus 로고    scopus 로고
    • A one-dimensional theory of strain-gradient plasticity: Formulation, analysis, numerical results
    • L. Anand, M.E. Gurtin, S.P. Lele, and C. Gething A one-dimensional theory of strain-gradient plasticity: formulation, analysis, numerical results J. Mech. Phys. Solids 53 2005 1789 1826
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1789-1826
    • Anand, L.1    Gurtin, M.E.2    Lele, S.P.3    Gething, C.4
  • 5
    • 0032675618 scopus 로고    scopus 로고
    • Crystallographic aspects of geometrically necessary and statistically-stored dislocation density
    • A. Arsenlis, and D.M. Parks Crystallographic aspects of geometrically necessary and statistically-stored dislocation density Acta Mater. 47 5 1999 1597 1611
    • (1999) Acta Mater. , vol.47 , Issue.5 , pp. 1597-1611
    • Arsenlis, A.1    Parks, D.M.2
  • 6
    • 1642633227 scopus 로고    scopus 로고
    • On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals
    • A. Arsenlis, D.M. Parks, R. Becker, and V.V. Bulatov On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals J. Mech. Phys. Solids 50 2004 1213 1246
    • (2004) J. Mech. Phys. Solids , vol.50 , pp. 1213-1246
    • Arsenlis, A.1    Parks, D.M.2    Becker, R.3    Bulatov, V.V.4
  • 7
    • 0014731854 scopus 로고
    • The deformation of plastically non-homogeneous materials
    • M.F. Ashby The deformation of plastically non-homogeneous materials Philos. Mag. 21 1970 399 424
    • (1970) Philos. Mag. , vol.21 , pp. 399-424
    • Ashby, M.F.1
  • 9
    • 0035499128 scopus 로고    scopus 로고
    • Second-order estimates for the effective behaviour of viscoplastic polycrystalline materials
    • M. Bornert, R. Masson, P. Ponte Castañeda, and A. Zaoui Second-order estimates for the effective behaviour of viscoplastic polycrystalline materials J. Mech. Phys. Solids 49 2001 2737 2764
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 2737-2764
    • Bornert, M.1    Masson, R.2    Ponte Castañeda, P.3    Zaoui, A.4
  • 10
    • 85137361502 scopus 로고
    • A reassessment of deformation theories of plasticity
    • B. Budiansky A reassessment of deformation theories of plasticity J. Appl. Mech. 26 1959 259 264
    • (1959) J. Appl. Mech. , vol.26 , pp. 259-264
    • Budiansky, B.1
  • 11
    • 0039442602 scopus 로고    scopus 로고
    • A discrete dislocation analysis of residual stresses in a composite material
    • H.H.M. Cleveringa, E. Van der Giessen, and A. Needleman A discrete dislocation analysis of residual stresses in a composite material Philos. Mag. A 79 4 1999 893 920
    • (1999) Philos. Mag. A , vol.79 , Issue.4 , pp. 893-920
    • Cleveringa, H.H.M.1    Van Der Giessen, E.2    Needleman, A.3
  • 13
    • 4544308684 scopus 로고    scopus 로고
    • Non-local crystal plasticity model with intrinsic SSD and GND effects
    • L.P. Evers, W.A.M. Brekelmans, and M.G.D. Geers Non-local crystal plasticity model with intrinsic SSD and GND effects J. Mech. Phys. Solids 52 2004 2379 2401
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 2379-2401
    • Evers, L.P.1    Brekelmans, W.A.M.2    Geers, M.G.D.3
  • 15
    • 0035479791 scopus 로고    scopus 로고
    • A reformulation of strain gradient plasticity
    • N.A. Fleck, and J.W. Hutchinson A reformulation of strain gradient plasticity J. Mech. Phys. Solids 49 2001 2254 2271
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 2254-2271
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 16
    • 3042548302 scopus 로고    scopus 로고
    • Bounds and estimates for the effect of strain gradients upon the effective plastic properties of an isotropic two phase composite
    • N.A. Fleck, and J.R. Willis Bounds and estimates for the effect of strain gradients upon the effective plastic properties of an isotropic two phase composite J. Mech. Phys. Solids 52 2004 1855 1888
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1855-1888
    • Fleck, N.A.1    Willis, J.R.2
  • 18
    • 0020168181 scopus 로고
    • Multislip in f.c.c. crystals: A theoretical approach compared with experimental data
    • P. Franciosi, and A. Zaoui Multislip in f.c.c. crystals: a theoretical approach compared with experimental data Acta Metallurgica 30 1982 1627 1637
    • (1982) Acta Metallurgica , vol.30 , pp. 1627-1637
    • Franciosi, P.1    Zaoui, A.2
  • 20
    • 1642633214 scopus 로고    scopus 로고
    • A unified treatment of strain gradient plasticity
    • P. Gudmundson A unified treatment of strain gradient plasticity J. Mech. Phys. Solids 52 2004 1379 1406
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1379-1406
    • Gudmundson, P.1
  • 21
    • 0036131798 scopus 로고    scopus 로고
    • A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations
    • M.E. Gurtin A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations J. Mech. Phys. Solids 50 2002 5 32
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 5-32
    • Gurtin, M.E.1
  • 22
    • 4544279140 scopus 로고    scopus 로고
    • A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin
    • M.E. Gurtin A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin J. Mech. Phys. Solids 52 2004 2545 2568
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 2545-2568
    • Gurtin, M.E.1
  • 23
    • 18444400869 scopus 로고    scopus 로고
    • A gradient theory of strain-gradient plasticity for isotropic, plastically irrotational materials. Part I: Small deformations
    • M.E. Gurtin, and L. Anand A gradient theory of strain-gradient plasticity for isotropic, plastically irrotational materials. Part I: small deformations J. Mech. Phys. Solids 53 2005 1624 1649
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1624-1649
    • Gurtin, M.E.1    Anand, L.2
  • 24
    • 9644262804 scopus 로고    scopus 로고
    • Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector
    • M.E. Gurtin, and A. Needleman Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector J. Mech. Phys. Solids 53 2005 1 31
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1-31
    • Gurtin, M.E.1    Needleman, A.2
  • 25
    • 14544293466 scopus 로고    scopus 로고
    • Mechanism-based strain gradient crystal plasticity - I. Theoy
    • C.-S. Han, H. Gao, Y. Huang, and W.D. Nix Mechanism-based strain gradient crystal plasticity - I. Theoy J. Mech. Phys. Solids 53 2005 1188 1203
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1188-1203
    • Han, C.-S.1    Gao, H.2    Huang, Y.3    Nix, W.D.4
  • 26
    • 0032639889 scopus 로고    scopus 로고
    • A crystallographic model for the study of local deformation processes in polycrystals
    • J. Harder A crystallographic model for the study of local deformation processes in polycrystals Int. J. Plasticity 15 1999 605 624
    • (1999) Int. J. Plasticity , vol.15 , pp. 605-624
    • Harder, J.1
  • 27
    • 0037210865 scopus 로고    scopus 로고
    • Geometrically necessary boundaries, incidental dislocation boundaries and geometrically necessary dislocations
    • D.A. Hughes, N. Hansen, and D.J. Bammann Geometrically necessary boundaries, incidental dislocation boundaries and geometrically necessary dislocations Scripta Materialia 48 2003 147 153
    • (2003) Scripta Materialia , vol.48 , pp. 147-153
    • Hughes, D.A.1    Hansen, N.2    Bammann, D.J.3
  • 28
    • 0000385898 scopus 로고
    • Bounds and self-consistent estimates for creep of polycrystalline materials
    • J.W. Hutchinson Bounds and self-consistent estimates for creep of polycrystalline materials Proc. R. Soc. London A 348 1976 101 127
    • (1976) Proc. R. Soc. London A , vol.348 , pp. 101-127
    • Hutchinson, J.W.1
  • 29
    • 1642312079 scopus 로고    scopus 로고
    • Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals
    • Y. Liu, and P. Ponte Castañeda Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals J. Mech. Phys. Solids 52 2004 1175 1211
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1175-1211
    • Liu, Y.1    Ponte Castañeda, P.2
  • 30
    • 14844343252 scopus 로고    scopus 로고
    • Constitutive modeling of high-strain-rate deformation in metals based on the evolution of an effective microstructural length
    • A. Molinari, and G. Ravichandran Constitutive modeling of high-strain-rate deformation in metals based on the evolution of an effective microstructural length Mech. Mater. 37 2005 737 752
    • (2005) Mech. Mater. , vol.37 , pp. 737-752
    • Molinari, A.1    Ravichandran, G.2
  • 31
    • 84996180879 scopus 로고
    • Continuous distribution of moving dislocations
    • T. Mura Continuous distribution of moving dislocations Philos. Mag. 89 1963 843 857
    • (1963) Philos. Mag. , vol.89 , pp. 843-857
    • Mura, T.1
  • 32
    • 0346045524 scopus 로고
    • On dynamic problems of continuous distribution of dislocations
    • T. Mura On dynamic problems of continuous distribution of dislocations Int. J. Eng. Sci. 1 1963 371 381
    • (1963) Int. J. Eng. Sci. , vol.1 , pp. 371-381
    • Mura, T.1
  • 33
    • 27844496063 scopus 로고
    • The law of constant resolved shear stress in crystal plasticity
    • F.R.N. Nabarro The law of constant resolved shear stress in crystal plasticity Philos. Mag. 42 1951 213 214
    • (1951) Philos. Mag. , vol.42 , pp. 213-214
    • Nabarro, F.R.N.1
  • 34
    • 16344391784 scopus 로고    scopus 로고
    • Effect of defect energy on strain-gradient predictions of confined single-crystal plasticity
    • L. Nicola, E. Van der Giessen, and M.E. Gurtin Effect of defect energy on strain-gradient predictions of confined single-crystal plasticity J. Mech. Phys. Solids 53 2005 1280 1294
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1280-1294
    • Nicola, L.1    Van Der Giessen, E.2    Gurtin, M.E.3
  • 35
    • 0345794258 scopus 로고    scopus 로고
    • On lower order strain gradient plasticity theories
    • C.F. Niordson, and J.W. Hutchinson On lower order strain gradient plasticity theories Eur. J. Mech. A/Solids 22 2003 771 778
    • (2003) Eur. J. Mech. A/Solids , vol.22 , pp. 771-778
    • Niordson, C.F.1    Hutchinson, J.W.2
  • 36
    • 50449140340 scopus 로고
    • Some geometrical relations in dislocated crystals
    • J.F. Nye Some geometrical relations in dislocated crystals Acta Metallurgica 1 1953 153 162
    • (1953) Acta Metallurgica , vol.1 , pp. 153-162
    • Nye, J.F.1
  • 38
    • 0032158229 scopus 로고    scopus 로고
    • A microbend test method for measuring the plasticity length scale
    • J.S. Stölken, and A.G. Evans A microbend test method for measuring the plasticity length scale Acta Materialia 46 1998 5109 5115
    • (1998) Acta Materialia , vol.46 , pp. 5109-5115
    • Stölken, J.S.1    Evans, A.G.2
  • 39
    • 0035371582 scopus 로고    scopus 로고
    • Boundary layers in constrained plastic flow: Comparison of nonlocal and discrete dislocation plasticity
    • J.Y. Shu, N.A. Fleck, E. Van der Giessen, and A. Needleman Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity J. Mech. Phys. Solids 49 2001 1361 1395
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1361-1395
    • Shu, J.Y.1    Fleck, N.A.2    Van Der Giessen, E.3    Needleman, A.4
  • 40
    • 0033993120 scopus 로고    scopus 로고
    • Observations of lattice curvature near the interface of a deformed aluminium bicrystal
    • S. Sun, B.L. Adams, and W.E. King Observations of lattice curvature near the interface of a deformed aluminium bicrystal Philos. Mag. A 80 2000 9 25
    • (2000) Philos. Mag. A , vol.80 , pp. 9-25
    • Sun, S.1    Adams, B.L.2    King, W.E.3
  • 42
    • 0346308519 scopus 로고    scopus 로고
    • A comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity calculations
    • S. Yefimov, I. Groma, and E. Van der Giessen A comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity calculations J. Mech. Phys. Solids 52 2004 279 300
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 279-300
    • Yefimov, S.1    Groma, I.2    Van Der Giessen, E.3


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