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Volumn 22, Issue 4, 2006, Pages 654-684

A physically based gradient plasticity theory

Author keywords

GNDs; Gradient plasticity; Material length scale; Micro bending; Micro indentation; Micro torsion; Size effects; SSDs

Indexed keywords

DISLOCATIONS (CRYSTALS); GRAIN SIZE AND SHAPE; INDENTATION; SHEAR DEFORMATION; STATISTICAL METHODS; STRAIN HARDENING; TORSIONAL STRESS;

EID: 28744436207     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2005.04.010     Document Type: Article
Times cited : (177)

References (99)
  • 1
    • 1142276330 scopus 로고    scopus 로고
    • Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments
    • R.K. Abu Al-Rub, and G.Z. Voyiadjis Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments Int. J. Plasticity 20 2004 1139 1182
    • (2004) Int. J. Plasticity , vol.20 , pp. 1139-1182
    • Abu Al-Rub, R.K.1    Voyiadjis, G.Z.2
  • 2
    • 19944419756 scopus 로고    scopus 로고
    • Determination of the material intrinsic length scale of gradient plasticity theory
    • R.K. Abu Al-Rub, and G.Z. Voyiadjis Determination of the material intrinsic length scale of gradient plasticity theory Int. J. Multiscale Comput. Eng. 2 3 2004 47 70
    • (2004) Int. J. Multiscale Comput. Eng. , vol.2 , Issue.3 , pp. 47-70
    • Abu Al-Rub, R.K.1    Voyiadjis, G.Z.2
  • 3
    • 19944379174 scopus 로고    scopus 로고
    • A direct finite element implementation of the gradient plasticity theory
    • R.K. Abu Al-Rub, and G.Z. Voyiadjis A direct finite element implementation of the gradient plasticity theory Int. J. Numer. Meth. Eng. 63 2005 603 629
    • (2005) Int. J. Numer. Meth. Eng. , vol.63 , pp. 603-629
    • Abu Al-Rub, R.K.1    Voyiadjis, G.Z.2
  • 4
    • 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. Solid 48 2000 1565 1595
    • (2000) J. Mech. Phys. Solid , vol.48 , pp. 1565-1595
    • Acharya, A.1    Bassani, J.L.2
  • 5
    • 0034299934 scopus 로고    scopus 로고
    • Grain-size effect in viscoplastic polycrystals at moderate strains
    • A. Acharya, and A.J. Beaudoin Grain-size effect in viscoplastic polycrystals at moderate strains J. Mech. Phys. Solids 48 2000 2213 2230
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 2213-2230
    • Acharya, A.1    Beaudoin, A.J.2
  • 6
    • 0021502102 scopus 로고
    • On the microstructural origin of certain inelastic models
    • E.C. Aifantis On the microstructural origin of certain inelastic models J. Eng. Mater. Tech. 106 1984 326 330
    • (1984) J. Eng. Mater. Tech. , vol.106 , pp. 326-330
    • Aifantis, E.C.1
  • 7
    • 0023174893 scopus 로고
    • The physics of plastic deformation
    • E.C. Aifantis The physics of plastic deformation Int. J. Plasticity 3 1987 211 247
    • (1987) Int. J. Plasticity , vol.3 , pp. 211-247
    • Aifantis, E.C.1
  • 8
    • 0033343496 scopus 로고    scopus 로고
    • Strain gradient interpretation of size effects
    • E.C. Aifantis Strain gradient interpretation of size effects Int. J. Fract. 95 1999 299 314
    • (1999) Int. J. Fract. , vol.95 , pp. 299-314
    • Aifantis, E.C.1
  • 9
    • 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. Solid 53 2005 1047 1070
    • (2005) J. Mech. Phys. Solid , vol.53 , pp. 1047-1070
    • Aifantis, K.E.1    Willis, J.R.2
  • 10
    • 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 1999 1597 1611
    • (1999) Acta Mater. , vol.47 , pp. 1597-1611
    • Arsenlis, A.1    Parks, D.M.2
  • 11
    • 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 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
  • 12
    • 0014731854 scopus 로고
    • The deformation of plastically non-homogenous alloys
    • M.F. Ashby The deformation of plastically non-homogenous alloys Philos. Mag. 21 1970 399 424
    • (1970) Philos. Mag. , vol.21 , pp. 399-424
    • Ashby, M.F.1
  • 13
    • 0024029187 scopus 로고
    • Nonlocal continuum damage, localization instability and convergence
    • Z.P. Bazant, and G. Pijaudier-Cobot Nonlocal continuum damage, localization instability and convergence J. Appl. Mech. 55 1988 287 293
    • (1988) J. Appl. Mech. , vol.55 , pp. 287-293
    • Bazant, Z.P.1    Pijaudier-Cobot, G.2
  • 14
    • 0037164197 scopus 로고    scopus 로고
    • Size effect and asymptotic matching approximations in strain-gradient theories of micro-scale plasticity
    • Z.P. Bazant, and Z. Guo Size effect and asymptotic matching approximations in strain-gradient theories of micro-scale plasticity Int. J. Solid Struct. 39 2002 5633 5657
    • (2002) Int. J. Solid Struct. , vol.39 , pp. 5633-5657
    • Bazant, Z.P.1    Guo, Z.2
  • 15
    • 0035451911 scopus 로고    scopus 로고
    • Incompatibility and a simple gradient theory of plasticity
    • J.L. Bassani Incompatibility and a simple gradient theory of plasticity J. Mech. Phys. Solid 49 2001 1983 1996
    • (2001) J. Mech. Phys. Solid , vol.49 , pp. 1983-1996
    • Bassani, J.L.1
  • 16
    • 0020245115 scopus 로고
    • On a proposal for a continuum with microstructure
    • D.J. Bammann, and E.C. Aifantis On a proposal for a continuum with microstructure Acta Mech. 45 1982 91 121
    • (1982) Acta Mech. , vol.45 , pp. 91-121
    • Bammann, D.J.1    Aifantis, E.C.2
  • 17
    • 0035879740 scopus 로고    scopus 로고
    • A model of crystal plasticity containing a natural length scale
    • D.J. Bammann A model of crystal plasticity containing a natural length scale Mater. Sci. Eng. A 309-310 2001 406 410
    • (2001) Mater. Sci. Eng. A , vol.309-310 , pp. 406-410
    • Bammann, D.J.1
  • 18
    • 0032180495 scopus 로고    scopus 로고
    • The mechanics of size-dependent indentation
    • M.R. Begley, and J.W. Hutchinson The mechanics of size-dependent indentation J. Mech. Phys. Solid 46 1998 2049 2068
    • (1998) J. Mech. Phys. Solid , vol.46 , pp. 2049-2068
    • Begley, M.R.1    Hutchinson, J.W.2
  • 19
    • 0035879791 scopus 로고    scopus 로고
    • A model for rate-dependent flow of metal polycrystals based on the slip plane lattice incompatibility
    • A.J. Beaudoin, and A. Acharya A model for rate-dependent flow of metal polycrystals based on the slip plane lattice incompatibility Mater. Sci. Eng. A 309-310 2001 411 415
    • (2001) Mater. Sci. Eng. A , vol.309-310 , pp. 411-415
    • Beaudoin, A.J.1    Acharya, A.2
  • 20
    • 0020192060 scopus 로고
    • An improved dislocation model for the stress-strain behavior of polycrystalline alpha-iron
    • Y. Bergstrom, and H. Hallen An improved dislocation model for the stress-strain behavior of polycrystalline alpha-iron Mater. Sci. Eng. 56 1982 47 61
    • (1982) Mater. Sci. Eng. , vol.56 , pp. 47-61
    • Bergstrom, Y.1    Hallen, H.2
  • 21
    • 0036765163 scopus 로고    scopus 로고
    • Interface crack problem with strain gradient effects
    • S.H. Chen, and T.C. Wang Interface crack problem with strain gradient effects Int. J. Fract. 117 2002 25 37
    • (2002) Int. J. Fract. , vol.117 , pp. 25-37
    • Chen, S.H.1    Wang, T.C.2
  • 23
    • 0026908533 scopus 로고
    • Gradient-dependent plasticity formulation and algorithmic aspects
    • R. de Borst, and H.-B. Mühlhaus Gradient-dependent plasticity formulation and algorithmic aspects Int. J. Numer. Meth. Eng. 35 1992 521 539
    • (1992) Int. J. Numer. Meth. Eng. , vol.35 , pp. 521-539
    • De Borst, R.1    Mühlhaus, H.-B.2
  • 24
    • 0027573936 scopus 로고
    • Fundamental issues in finite element analysis of localization of deformation
    • R. de Borst, L.J. Sluys, H.-B. Mühlhaus, and J. Pamin Fundamental issues in finite element analysis of localization of deformation Eng. Comput. 10 1993 99 121
    • (1993) Eng. Comput. , vol.10 , pp. 99-121
    • De Borst, R.1    Sluys, L.J.2    Mühlhaus, H.-B.3    Pamin, J.4
  • 25
    • 0030195575 scopus 로고    scopus 로고
    • Some novel developments in finite element procedures for gradient-dependent plasticity
    • R. de Borst, and J. Pamin Some novel developments in finite element procedures for gradient-dependent plasticity Int. J. Numer. Meth. Eng. 39 1996 2477 2505
    • (1996) Int. J. Numer. Meth. Eng. , vol.39 , pp. 2477-2505
    • De Borst, R.1    Pamin, J.2
  • 26
    • 0027797041 scopus 로고
    • The role of indentation depth on the measured hardness of materials
    • M.S. DeGuzman, G. Neubauer, P. Flinn, and W.D. Nix The role of indentation depth on the measured hardness of materials Mater. Res. Symp. Proc. 308 1993 613 618
    • (1993) Mater. Res. Symp. Proc. , vol.308 , pp. 613-618
    • Deguzman, M.S.1    Neubauer, G.2    Flinn, P.3    Nix, W.D.4
  • 27
    • 0037119084 scopus 로고    scopus 로고
    • Indentation size effect in polycrystalline F.C.C metals
    • A.A. Elmustafa, and D.S. Stone Indentation size effect in polycrystalline F.C.C metals Acta Mater. 50 2002 3641 3650
    • (2002) Acta Mater. , vol.50 , pp. 3641-3650
    • Elmustafa, A.A.1    Stone, D.S.2
  • 28
    • 0001244104 scopus 로고
    • Theory of micropolar elasticity
    • H. Liebowitz Academic Press New York
    • A.C. Eringen Theory of micropolar elasticity H. Liebowitz Fracture, An Advanced Treatise vol. 2 1968 Academic Press New York 621 729
    • (1968) Fracture, An Advanced Treatise , vol.2 , pp. 621-729
    • Eringen, A.C.1
  • 30
    • 0021121434 scopus 로고
    • A unified phenomenological description of work-hardening and creep based on one-parameter models
    • Y. Estrin, and H. Mecking A unified phenomenological description of work-hardening and creep based on one-parameter models Acta Metall. 32 1984 57 70
    • (1984) Acta Metall. , vol.32 , pp. 57-70
    • Estrin, Y.1    Mecking, H.2
  • 31
    • 10844263550 scopus 로고    scopus 로고
    • Scale dependent crystal plasticity framework with dislocation density and grain boundary effects
    • L.P. Evers, W.A.M. Brekelmans, and M.G.D. Geers Scale dependent crystal plasticity framework with dislocation density and grain boundary effects Int. J. Solid Struct. 41 2004 5209 5230
    • (2004) Int. J. Solid Struct. , vol.41 , pp. 5209-5230
    • Evers, L.P.1    Brekelmans, W.A.M.2    Geers, M.G.D.3
  • 32
    • 0027841038 scopus 로고
    • A phenomenological theory for strain gradient effects in plasticity
    • N.A. Fleck, and J.W. Hutchinson 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
  • 35
    • 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 2245 2271
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 2245-2271
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 36
    • 0030107906 scopus 로고    scopus 로고
    • Damage, gradient of damage and principle of virtual power
    • M. Fremond, and B. Nedjar Damage, gradient of damage and principle of virtual power Int. J. Solid Struct. 33 8 1996 1083 1103
    • (1996) Int. J. Solid Struct. , vol.33 , Issue.8 , pp. 1083-1103
    • Fremond, M.1    Nedjar, B.2
  • 38
    • 0032693060 scopus 로고    scopus 로고
    • Modeling plasticity at the micrometer scale
    • H. Gao, Y. Huang, and W.D. Nix Modeling plasticity at the micrometer scale Naturwissenschaften 86 1999 507 515
    • (1999) Naturwissenschaften , vol.86 , pp. 507-515
    • Gao, H.1    Huang, Y.2    Nix, W.D.3
  • 39
    • 0035310825 scopus 로고    scopus 로고
    • Taylor-based nonlocal theory of plasticity
    • H. Gao, and Y. Huang Taylor-based nonlocal theory of plasticity Int. J. Solid Struct. 38 2001 2615 2637
    • (2001) Int. J. Solid Struct. , vol.38 , pp. 2615-2637
    • Gao, H.1    Huang, Y.2
  • 40
    • 0028485913 scopus 로고
    • The double effect of grain size on the work-hardening behavior of polycrystalline copper
    • J.J. Gracio The double effect of grain size on the work-hardening behavior of polycrystalline copper Scripta Metall. Mater. 31 1994 487 489
    • (1994) Scripta Metall. Mater. , vol.31 , pp. 487-489
    • Gracio, J.J.1
  • 41
    • 0035860416 scopus 로고    scopus 로고
    • Taylor-based nonlocal theory of plasticity: Numerical studies of the micro-indentation experiments and crack tip fields
    • Y. Guo, Y. Huang, H. Gao, Z. Zhuang, and K.C. Hwang Taylor-based nonlocal theory of plasticity: numerical studies of the micro-indentation experiments and crack tip fields Int. J. Solid Struct. 38 2001 7447 7460
    • (2001) Int. J. Solid Struct. , vol.38 , pp. 7447-7460
    • Guo, Y.1    Huang, Y.2    Gao, H.3    Zhuang, Z.4    Hwang, K.C.5
  • 42
    • 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. Solid 50 1 2002 5 32
    • (2002) J. Mech. Phys. Solid , vol.50 , Issue.1 , pp. 5-32
    • Gurtin, M.E.1
  • 43
    • 0037207580 scopus 로고    scopus 로고
    • On a framework for small-deformation viscoplasticity: Free energy, microforces, strain gradients
    • M.E. Gurtin On a framework for small-deformation viscoplasticity: free energy, microforces, strain gradients Int. J. Plasticity 19 2003 47 90
    • (2003) Int. J. Plasticity , vol.19 , pp. 47-90
    • Gurtin, M.E.1
  • 44
    • 0038820385 scopus 로고    scopus 로고
    • Strain gradient effect in nanoscale thin films
    • M.A. Haque, and M.T.A. Saif Strain gradient effect in nanoscale thin films Acta Mater. 51 2003 3053 3061
    • (2003) Acta Mater. , vol.51 , pp. 3053-3061
    • Haque, M.A.1    Saif, M.T.A.2
  • 45
    • 0011918833 scopus 로고
    • P.B. Hirsch Cambridge University Press Cambridge
    • P.B. Hirsch P.B. Hirsch The Physics of Metals vol. 2 1975 Cambridge University Press Cambridge 232
    • (1975) The Physics of Metals , vol.2 , pp. 232
    • Hirsch, P.B.1
  • 47
    • 0347987821 scopus 로고    scopus 로고
    • Plasticity at the micron scale
    • J.W. Hutchinson Plasticity at the micron scale Int. J. Solid Struct. 37 2000 225 238
    • (2000) Int. J. Solid Struct. , vol.37 , pp. 225-238
    • Hutchinson, J.W.1
  • 49
    • 0347600794 scopus 로고    scopus 로고
    • A conventional theory of mechanism-based strain gradient plasticity
    • Y. Huang, S. Qu, K.C. Hwang, M. Li, and H. Gao A conventional theory of mechanism-based strain gradient plasticity Int. J. Plast. 20 2004 753 782
    • (2004) Int. J. Plast. , vol.20 , pp. 753-782
    • Huang, Y.1    Qu, S.2    Hwang, K.C.3    Li, M.4    Gao, H.5
  • 50
    • 33645194644 scopus 로고    scopus 로고
    • Identification of elastic-plastic material parameters from pyramidal indentation of thin films
    • N. Huber, W.D. Nix, and H. Gao Identification of elastic-plastic material parameters from pyramidal indentation of thin films Proc. Roy. Soc. Lond. Ser. A 458 2023 2002 1593 1620
    • (2002) Proc. Roy. Soc. Lond. Ser. A , vol.458 , Issue.2023 , pp. 1593-1620
    • Huber, N.1    Nix, W.D.2    Gao, H.3
  • 52
    • 0037289553 scopus 로고    scopus 로고
    • Finite deformation analysis of mechanism-based strain gradient plasticity: Torsion and crack tip field
    • K.C. Hwang, H. Jiang, Y. Huang, and H. Gao Finite deformation analysis of mechanism-based strain gradient plasticity: torsion and crack tip field Int. J. Plasticity 19 2003 235 251
    • (2003) Int. J. Plasticity , vol.19 , pp. 235-251
    • Hwang, K.C.1    Jiang, H.2    Huang, Y.3    Gao, H.4
  • 53
    • 0030244140 scopus 로고    scopus 로고
    • Plastic flow and fracture of a particulate metal matrix composite
    • M.T. Kiser, F.W. Zok, and D.S. Wilkinson Plastic flow and fracture of a particulate metal matrix composite Acta Mater. 44 1996 3465 3476
    • (1996) Acta Mater. , vol.44 , pp. 3465-3476
    • Kiser, M.T.1    Zok, F.W.2    Wilkinson, D.S.3
  • 54
    • 10244224002 scopus 로고    scopus 로고
    • Recent developments in gradient plasticity - Part II: Plastic heterogeneity and wavelets
    • A.A. Konstantinidis, and E.C. Aifantis Recent developments in gradient plasticity - Part II: plastic heterogeneity and wavelets ASME J. Eng. Mater. Tech. 124 2002 358 364
    • (2002) ASME J. Eng. Mater. Tech. , vol.124 , pp. 358-364
    • Konstantinidis, A.A.1    Aifantis, E.C.2
  • 55
    • 84996187471 scopus 로고
    • A statistical theory of flow stress and work hardening
    • U.F. Kocks A statistical theory of flow stress and work hardening Phil. Mag. 13 1966 541
    • (1966) Phil. Mag. , vol.13 , pp. 541
    • Kocks, U.F.1
  • 56
    • 0016884466 scopus 로고
    • Laws for work-hardening and low-temperature creep
    • U.F. Kocks Laws for work-hardening and low-temperature creep ASME J. Eng. Mater. Tech. 98 1976 76 85
    • (1976) ASME J. Eng. Mater. Tech. , vol.98 , pp. 76-85
    • Kocks, U.F.1
  • 57
    • 0025424968 scopus 로고
    • Evolution for dislocation densities and the critical conditions for the portevin-lechatelier effect
    • L.P. Kubin, and Y. Estrin Evolution for dislocation densities and the critical conditions for the portevin-lechatelier effect Acta Metall. Mater. 38 1990 697 708
    • (1990) Acta Metall. Mater. , vol.38 , pp. 697-708
    • Kubin, L.P.1    Estrin, Y.2
  • 58
    • 0023827332 scopus 로고
    • Localization limiters in trasient problems
    • D. Lasry, and T. Belytschko Localization limiters in trasient problems Int. J. Solid Struct. 24 1988 581 597
    • (1988) Int. J. Solid Struct. , vol.24 , pp. 581-597
    • Lasry, D.1    Belytschko, T.2
  • 59
    • 0038929067 scopus 로고    scopus 로고
    • The effect of the indenter load on the nanohardness of ductile metals: An experimental study of polycrystalline work-hardened and annealed oxygen-free copper
    • Y.Y. Lim, and Y.Y. Chaudhri The effect of the indenter load on the nanohardness of ductile metals: an experimental study of polycrystalline work-hardened and annealed oxygen-free copper Philos. Mag. A 79 12 1999 2979 3000
    • (1999) Philos. Mag. A , vol.79 , Issue.12 , pp. 2979-3000
    • Lim, Y.Y.1    Chaudhri, Y.Y.2
  • 60
    • 0028201653 scopus 로고
    • Particle reinforced aluminum and magnesium matrix composites
    • D.J. Lloyd Particle reinforced aluminum and magnesium matrix composites Int. Mater. Rev. 39 1994 1 23
    • (1994) Int. Mater. Rev. , vol.39 , pp. 1-23
    • Lloyd, D.J.1
  • 61
    • 0029289877 scopus 로고
    • Size dependent hardness in silver single crystals
    • Q. Ma, and D.R. Clarke Size dependent hardness in silver single crystals J. Mater. Res. 10 1995 853 863
    • (1995) J. Mater. Res. , vol.10 , pp. 853-863
    • Ma, Q.1    Clarke, D.R.2
  • 62
    • 0242717850 scopus 로고    scopus 로고
    • Determination of indenter tip geometry and indentation contact area for depth sensing indentation experiments
    • K.W. McElhaney, J.J. Valssak, and W.D. Nix Determination of indenter tip geometry and indentation contact area for depth sensing indentation experiments J. Mater. Res. 13 1998 1300 1306
    • (1998) J. Mater. Res. , vol.13 , pp. 1300-1306
    • McElhaney, K.W.1    Valssak, J.J.2    Nix, W.D.3
  • 63
    • 0040366845 scopus 로고
    • Micro-structure in linear elasticity
    • R.D. Mindlin Micro-structure in linear elasticity Arch. Ration. Mech. Anal. 16 1964 51 78
    • (1964) Arch. Ration. Mech. Anal. , vol.16 , pp. 51-78
    • Mindlin, R.D.1
  • 64
    • 0035980524 scopus 로고    scopus 로고
    • On the role of strain gradients and long-range internal stresses in the composite model of crystal plasticity
    • H. Mughrabi On the role of strain gradients and long-range internal stresses in the composite model of crystal plasticity Mater. Sci. Eng. A 317 2001 171 180
    • (2001) Mater. Sci. Eng. A , vol.317 , pp. 171-180
    • Mughrabi, H.1
  • 65
    • 44949281328 scopus 로고
    • A variational principle for gradient principle
    • H.B. Mühlhaus, and E.C. Aifantis A variational principle for gradient principle Int. J. Solid Struct. 28 1991 845 857
    • (1991) Int. J. Solid Struct. , vol.28 , pp. 845-857
    • Mühlhaus, H.B.1    Aifantis, E.C.2
  • 66
    • 0030244141 scopus 로고    scopus 로고
    • The influence of particle size and particle fracture on the elastic/plastic deformation of metal matrix composites
    • C.-W. Nan, and D.R. Clarke The influence of particle size and particle fracture on the elastic/plastic deformation of metal matrix composites Acta Mater. 44 1996 3801 3811
    • (1996) Acta Mater. , vol.44 , pp. 3801-3811
    • Nan, C.-W.1    Clarke, D.R.2
  • 67
    • 0023983136 scopus 로고
    • Material rate dependent and mesh sensitivity in localization problems
    • A. Needleman Material rate dependent and mesh sensitivity in localization problems Comp. Meth. Appl. Mech. Eng. 67 1988 68 85
    • (1988) Comp. Meth. Appl. Mech. Eng. , vol.67 , pp. 68-85
    • Needleman, A.1
  • 68
    • 0032020971 scopus 로고    scopus 로고
    • Indentation size effects in crystalline materials: A law for strain gradient plasticity
    • W.D. Nix, and H. Gao Indentation size effects in crystalline materials: a law for strain gradient plasticity J. Mech. Phys. Solids 46 1998 411 425
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 411-425
    • Nix, W.D.1    Gao, H.2
  • 70
    • 0001453159 scopus 로고
    • The constitutive equations for rate-sensitive materials
    • P. Perzyna The constitutive equations for rate-sensitive materials Quart. Appl. Math. 20 1963 321 332
    • (1963) Quart. Appl. Math. , vol.20 , pp. 321-332
    • Perzyna, P.1
  • 72
    • 0030085874 scopus 로고    scopus 로고
    • Micro-hardness of annealed and work-hardened copper polycrystals
    • W.J. Poole, M.F. Ashby, and N.A. Fleck Micro-hardness of annealed and work-hardened copper polycrystals Scripta Mater. 34 1996 559 564
    • (1996) Scripta Mater. , vol.34 , pp. 559-564
    • Poole, W.J.1    Ashby, M.F.2    Fleck, N.A.3
  • 73
    • 0035860887 scopus 로고    scopus 로고
    • Effect of intrinsic lattice resistance in strain gradient plasticity
    • X. Qiu, Y. Huang, W.D. Nix, K.C. Hwang, and H. Gao Effect of intrinsic lattice resistance in strain gradient plasticity Acta Mater. 49 2001 3949 3958
    • (2001) Acta Mater. , vol.49 , pp. 3949-3958
    • Qiu, X.1    Huang, Y.2    Nix, W.D.3    Hwang, K.C.4    Gao, H.5
  • 74
    • 0037339567 scopus 로고    scopus 로고
    • The flow theory of mechanism-based strain gradient plasticity
    • X. Qiu, Y. Huang, Y. Wei, H. Gao, and K.C. Hwang The flow theory of mechanism-based strain gradient plasticity Mech. Mater. 35 2003 245 258
    • (2003) Mech. Mater. , vol.35 , pp. 245-258
    • Qiu, X.1    Huang, Y.2    Wei, Y.3    Gao, H.4    Hwang, K.C.5
  • 75
    • 0028482185 scopus 로고
    • A superdislocation model for the strengthening of metal matrix composites and the initiation and propagation of shear bands
    • M. Rhee, J.P. Hirth, and H.M. Zbib A superdislocation model for the strengthening of metal matrix composites and the initiation and propagation of shear bands Acta Metall. Mater. 42 1994 2645 2655
    • (1994) Acta Metall. Mater. , vol.42 , pp. 2645-2655
    • Rhee, M.1    Hirth, J.P.2    Zbib, H.M.3
  • 76
    • 0037340835 scopus 로고    scopus 로고
    • On the measurement of the plasticity length scale parameter in LIGA nickel foils
    • P. Shrotriya, S.M. Allameh, J. Lou, T. Buchheit, and W.O. Soboyejo On the measurement of the plasticity length scale parameter in LIGA nickel foils Mech. Mater. 35 2003 233 243
    • (2003) Mech. Mater. , vol.35 , pp. 233-243
    • Shrotriya, P.1    Allameh, S.M.2    Lou, J.3    Buchheit, T.4    Soboyejo, W.O.5
  • 77
    • 0032065801 scopus 로고    scopus 로고
    • The prediction of a size effect in micro-indentation
    • J.Y. Shu, and N.A. Fleck The prediction of a size effect in micro-indentation Int. J. Solid Struct. 35 1998 1363 1383
    • (1998) Int. J. Solid Struct. , vol.35 , pp. 1363-1383
    • Shu, J.Y.1    Fleck, N.A.2
  • 78
    • 0034326012 scopus 로고    scopus 로고
    • The analysis of shear banding with a dislocation based gradient plasticity model
    • L.J. Sluys, and Y. Estrin The analysis of shear banding with a dislocation based gradient plasticity model Int. J. Solid Struct. 37 2000 7127 7142
    • (2000) Int. J. Solid Struct. , vol.37 , pp. 7127-7142
    • Sluys, L.J.1    Estrin, Y.2
  • 79
    • 0032158229 scopus 로고    scopus 로고
    • A microbend test method for measuring the plasticity length-scale
    • J.S. Stolken, and A.G. Evans A microbend test method for measuring the plasticity length-scale Acta Mater. 46 1998 5109 5115
    • (1998) Acta Mater. , vol.46 , pp. 5109-5115
    • Stolken, J.S.1    Evans, A.G.2
  • 81
    • 0036604969 scopus 로고    scopus 로고
    • Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations
    • B. Svendsen Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations J. Mech. Phys. Solid 50 2002 1297 1329
    • (2002) J. Mech. Phys. Solid , vol.50 , pp. 1297-1329
    • Svendsen, B.1
  • 82
    • 0036533507 scopus 로고    scopus 로고
    • The correlation of the indentation size effect measured with indenters of various shapes
    • J.G. Swadener, E.P. George, and G.M. Pharr The correlation of the indentation size effect measured with indenters of various shapes J. Mech. Phys. Solid 50 2002 681 694
    • (2002) J. Mech. Phys. Solid , vol.50 , pp. 681-694
    • Swadener, J.G.1    George, E.P.2    Pharr, G.M.3
  • 83
    • 0000649503 scopus 로고
    • Plastic strain in metals
    • G.I. Taylor Plastic strain in metals J. Inst. Met. 62 1938 307 324
    • (1938) J. Inst. Met. , vol.62 , pp. 307-324
    • Taylor, G.I.1
  • 84
    • 0036007966 scopus 로고    scopus 로고
    • Damage and size effect during superplastic deformation
    • M.B. Taylor, H.M. Zbib, and M.A. Khaleel Damage and size effect during superplastic deformation Int. J. Plasticity 18 2002 415 442
    • (2002) Int. J. Plasticity , vol.18 , pp. 415-442
    • Taylor, M.B.1    Zbib, H.M.2    Khaleel, M.A.3
  • 85
    • 1142309231 scopus 로고    scopus 로고
    • Recent developments in gradient plasticity - Part I: Formulation and size effects
    • I. Tsagrakis, and E.C. Aifantis Recent developments in gradient plasticity - Part I: formulation and size effects ASME Trans. J. Eng. Mater. Tech. 124 2002 352 357
    • (2002) ASME Trans. J. Eng. Mater. Tech. , vol.124 , pp. 352-357
    • Tsagrakis, I.1    Aifantis, E.C.2
  • 86
    • 0029694917 scopus 로고    scopus 로고
    • A gradient theory of internal variables
    • K.C. Valanis A gradient theory of internal variables Acta Mech. 116 1996 1 14
    • (1996) Acta Mech. , vol.116 , pp. 1-14
    • Valanis, K.C.1
  • 87
    • 0035396809 scopus 로고    scopus 로고
    • Multiscale analysis of multiple damage mechanisms coupled with inelastic behavior of composite materials
    • G.Z. Voyiadjis, B. Deliktas, and E.C. Aifantis Multiscale analysis of multiple damage mechanisms coupled with inelastic behavior of composite materials J. Eng. Mech., ASCE 127 2001 636 645
    • (2001) J. Eng. Mech., ASCE , vol.127 , pp. 636-645
    • Voyiadjis, G.Z.1    Deliktas, B.2    Aifantis, E.C.3
  • 88
    • 0038059113 scopus 로고    scopus 로고
    • Non-local coupling of viscoplasticity and anisotropic viscodamage for impact problems using the gradient theory
    • G.Z. Voyiadjis, R.K. Abu Al-Rub, and A.N. Palazotto Non-local coupling of viscoplasticity and anisotropic viscodamage for impact problems using the gradient theory Arch. Mech. 55 2003 39 89
    • (2003) Arch. Mech. , vol.55 , pp. 39-89
    • Voyiadjis, G.Z.1    Abu Al-Rub, R.K.2    Palazotto, A.N.3
  • 89
    • 1142300599 scopus 로고    scopus 로고
    • Thermodynamic formulations for non-local coupling of viscoplasticity and anisotropic viscodamage for dynamic localization problems using gradient theory
    • G.Z. Voyiadjis, R.K. Abu Al-Rub, and A.N. Palazotto Thermodynamic formulations for non-local coupling of viscoplasticity and anisotropic viscodamage for dynamic localization problems using gradient theory Int. J. Plasticity 20 2004 981 1038
    • (2004) Int. J. Plasticity , vol.20 , pp. 981-1038
    • Voyiadjis, G.Z.1    Abu Al-Rub, R.K.2    Palazotto, A.N.3
  • 91
    • 13844320056 scopus 로고    scopus 로고
    • Gradient plasticity theory with a variable length scale parameter
    • G.Z. Voyiadjis, and R.K. Abu Al-Rub Gradient plasticity theory with a variable length scale parameter Int. J. Solid Struct. 42 2005 3998 4029
    • (2005) Int. J. Solid Struct. , vol.42 , pp. 3998-4029
    • Voyiadjis, G.Z.1    Abu Al-Rub, R.K.2
  • 92
    • 33749010344 scopus 로고    scopus 로고
    • A finite strain plastic-damage model for high velocity impacts using combined viscosity and gradient localization limiters, Part II: Numerical aspects and simulations
    • in press
    • Voyiadjis, G.Z., Abu Al-Rub, R.K., in press. A finite strain plastic-damage model for high velocity impacts using combined viscosity and gradient localization limiters, Part II: Numerical aspects and simulations. Int. J. Damage Mech.
    • Int. J. Damage Mech.
    • Voyiadjis, G.Z.1    Abu Al-Rub, R.K.2
  • 93
    • 0032464877 scopus 로고    scopus 로고
    • Gradient viscoplastic modeling of material instabilities in metals
    • W.M. Wang, H. Askes, and L.J. Sluys Gradient viscoplastic modeling of material instabilities in metals Met. Mater. Korea 4 3 1998 537 542
    • (1998) Met. Mater. Korea , vol.4 , Issue.3 , pp. 537-542
    • Wang, W.M.1    Askes, H.2    Sluys, L.J.3
  • 94
    • 0035834483 scopus 로고    scopus 로고
    • Identification of the intrinsic material length in gradient plasticity theory from micro-indentation tests
    • H. Yuan, and J. Chen Identification of the intrinsic material length in gradient plasticity theory from micro-indentation tests Int. J. Solid Struct. 38 2001 8171 8187
    • (2001) Int. J. Solid Struct. , vol.38 , pp. 8171-8187
    • Yuan, H.1    Chen, J.2
  • 95
    • 0037212273 scopus 로고    scopus 로고
    • Geometrically necessary dislocations and strain gradient plasticity - A dislocation dynamics point of view
    • M. Zaiser, and E.C. Aifantis Geometrically necessary dislocations and strain gradient plasticity - a dislocation dynamics point of view Scripta Mater. 48 2003 133 139
    • (2003) Scripta Mater. , vol.48 , pp. 133-139
    • Zaiser, M.1    Aifantis, E.C.2
  • 96
    • 0023827471 scopus 로고
    • On the localization and postlocalization behavior of plastic deformation, I, II, III
    • H.M. Zbib, and E.C. Aifantis On the localization and postlocalization behavior of plastic deformation, I, II, III Res. Mech. 23 1988 261 277 279-292, 293-305
    • (1988) Res. Mech. , vol.23 , pp. 261-277
    • Zbib, H.M.1    Aifantis, E.C.2
  • 97
    • 0031995452 scopus 로고    scopus 로고
    • On plastic deformation and the dynamics of 3D dislocations
    • H.M. Zbib, M. Rhee, and J.P. Hirth On plastic deformation and the dynamics of 3D dislocations Int. J. Mech. Sci. 40 1998 113 127
    • (1998) Int. J. Mech. Sci. , vol.40 , pp. 113-127
    • Zbib, H.M.1    Rhee, M.2    Hirth, J.P.3
  • 98
    • 0037212327 scopus 로고    scopus 로고
    • Size effects and length scales in gradient plasticity and dislocation dynamics
    • H.M. Zbib, and E.C. Aifantis Size effects and length scales in gradient plasticity and dislocation dynamics Scripta Mater. 48 2003 155 160
    • (2003) Scripta Mater. , vol.48 , pp. 155-160
    • Zbib, H.M.1    Aifantis, E.C.2
  • 99
    • 0029325773 scopus 로고
    • Flow strength and size effect of an Al-Si-Mg composite model system under multiaxial loading
    • H.T. Zhu, and H.M. Zbib Flow strength and size effect of an Al-Si-Mg composite model system under multiaxial loading Scripta Metall. Mater. 32 1995 1895 1902
    • (1995) Scripta Metall. Mater. , vol.32 , pp. 1895-1902
    • Zhu, H.T.1    Zbib, H.M.2


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