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Volumn 44, Issue 9, 2007, Pages 2888-2923

A thermodynamic based higher-order gradient theory for size dependent plasticity

Author keywords

Gradient plasticity; Non local; Size effect; Thin films

Indexed keywords

BOUNDARY CONDITIONS; INTERFACIAL ENERGY; KINEMATICS; PLASTICITY; THERMODYNAMICS;

EID: 33847697772     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.08.034     Document Type: Article
Times cited : (85)

References (93)
  • 1
    • 33847703668 scopus 로고    scopus 로고
    • Abu Al-Rub, R.K., 2004. Material Length Scales in Gradient-Dependent Plasticity/Damage and Size Effects: Theory and Computation. Ph.D. Dissertation, Louisiana State University, Louisiana, USA.
  • 2
    • 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
    • Abu Al-Rub R.K., and Voyiadjis G.Z. 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
  • 3
    • 19944419756 scopus 로고    scopus 로고
    • Determination of the material intrinsic length scale of gradient plasticity theory
    • Abu Al-Rub R.K., and Voyiadjis G.Z. Determination of the material intrinsic length scale of gradient plasticity theory. Int. J. Multiscale Comput. Eng. 3 3 (2004) 50-74
    • (2004) Int. J. Multiscale Comput. Eng. , vol.3 , Issue.3 , pp. 50-74
    • Abu Al-Rub, R.K.1    Voyiadjis, G.Z.2
  • 4
    • 19944379174 scopus 로고    scopus 로고
    • A direct finite element implementation of the gradient plasticity theory
    • Abu Al-Rub R.K., and Voyiadjis G.Z. A direct finite element implementation of the gradient plasticity theory. Int. J. Numer. Meth. Engng. 63 (2005) 603-629
    • (2005) Int. J. Numer. Meth. Engng. , vol.63 , pp. 603-629
    • Abu Al-Rub, R.K.1    Voyiadjis, G.Z.2
  • 5
    • 28744436207 scopus 로고    scopus 로고
    • A physically based gradient plasticity theory
    • Abu Al-Rub R.K., and Voyiadjis G.Z. A physically based gradient plasticity theory. Int. J. Plasticity 22 (2006) 654-684
    • (2006) Int. J. Plasticity , vol.22 , pp. 654-684
    • Abu Al-Rub, R.K.1    Voyiadjis, G.Z.2
  • 6
    • 33847714648 scopus 로고    scopus 로고
    • Abu Al-Rub, R.K., Voyiadjis, G.Z., in press. A finite strain plastic-damage model for high velocity impacts using combined viscosity and gradient localization limiters. Part I: Theoretical formulation. Int. J. Damage Mech.
  • 7
    • 0033737940 scopus 로고    scopus 로고
    • Lattice incompatibility and a gradient theory of crystal plasticity
    • Acharya A., and Bassani J.L. 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
  • 8
    • 0034299934 scopus 로고    scopus 로고
    • Grain-size effect in viscoplastic polycrystals at moderate strains
    • Acharya A., and Beaudoin A.J. 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
  • 9
    • 0021502102 scopus 로고
    • On the microstructural origin of certain inelastic models
    • Aifantis E.C. 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
  • 11
    • 20444457055 scopus 로고    scopus 로고
    • A one-dimensional theory of strain-gradient plasticity: Formulation, analysis, numerical results
    • Anand L., Gurtin M.E., Lele S.P., and Gething C. 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
  • 12
    • 0032675618 scopus 로고    scopus 로고
    • Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density
    • Arsenlis A., and Parks D.M. 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
  • 13
    • 0014731854 scopus 로고
    • The deformation of plastically non-homogenous alloys
    • Ashby M.F. 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
  • 14
    • 0035451911 scopus 로고    scopus 로고
    • Incompatibility and a simple gradient theory of plasticity
    • Bassani J.L. Incompatibility and a simple gradient theory of plasticity. J. Mech. Phys. Solids 49 (2001) 1983-1996
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1983-1996
    • Bassani, J.L.1
  • 15
    • 0035879740 scopus 로고    scopus 로고
    • A model of crystal plasticity containing a natural length scale
    • Bammann D.J. 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
  • 16
    • 33847757079 scopus 로고    scopus 로고
    • Bammann, D.J., Mosher, D., Hughes, D.A., Moody, N.R., Dawson, P.R., 1999. Using Spatial Gradients to Model Localization Phenomena. Sandia National Laboratories Report, SAND99- 8588, Albuquerque, New Mexico 87185 and Livermore, CA.
  • 17
    • 0024029187 scopus 로고
    • Nonlocal continuum damage, localization instability and convergence
    • Bazant Z.P., and Pijaudier-Cobot G. 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
  • 18
    • 0032180495 scopus 로고    scopus 로고
    • The mechanics of size-dependent indentation
    • Begley M.R., and Hutchinson J.W. The mechanics of size-dependent indentation. J. Mech. Phys. Solids 46 (1998) 2049-2068
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 2049-2068
    • Begley, M.R.1    Hutchinson, J.W.2
  • 20
    • 25644433464 scopus 로고    scopus 로고
    • Modeling dislocations and disclinations with finite micropolar elastoplasticity
    • Clayton J.D., McDowell D.L., and Bammann D.J. Modeling dislocations and disclinations with finite micropolar elastoplasticity. Int. J. Plasticity 22 (2006) 210-256
    • (2006) Int. J. Plasticity , vol.22 , pp. 210-256
    • Clayton, J.D.1    McDowell, D.L.2    Bammann, D.J.3
  • 22
    • 0026908533 scopus 로고
    • Gradient-dependent plasticity formulation and algorithmic aspects
    • de Borst R., and Mühlhaus H.-B. Gradient-dependent plasticity formulation and algorithmic aspects. Int. J. Numer. Methods Eng. 35 (1992) 521-539
    • (1992) Int. J. Numer. Methods Eng. , vol.35 , pp. 521-539
    • de Borst, R.1    Mühlhaus, H.-B.2
  • 23
    • 0030195575 scopus 로고    scopus 로고
    • Some novel developments in finite element procedures for gradient-dependent plasticity
    • de Borst R., and Pamin J. Some novel developments in finite element procedures for gradient-dependent plasticity. Int. J. Numer. Methods Eng. 39 (1996) 2477-2505
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , pp. 2477-2505
    • de Borst, R.1    Pamin, J.2
  • 24
    • 0027573936 scopus 로고
    • Fundamental issues in finite element analysis of localization of deformation
    • de Borst R., Sluys L.J., Mühlhaus H.-B., and Pamin J. 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
    • 0027797041 scopus 로고
    • The role of indentation depth on the measured hardness of materials
    • DeGuzman M.S., Neubauer G., Flinn P., and Nix W.D. 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
  • 26
    • 4143098332 scopus 로고    scopus 로고
    • Atomistic simulation of the structure and elastic properties of gold nanowires
    • Diao J., Gall K., and Dunn M.L. Atomistic simulation of the structure and elastic properties of gold nanowires. J. Mech. Phys. Solids 52 (2004) 1935-1962
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1935-1962
    • Diao, J.1    Gall, K.2    Dunn, M.L.3
  • 27
    • 20444494915 scopus 로고    scopus 로고
    • Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films
    • Dingrevillea R., Qu J., and Cherkaoui M. Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. J. Mech. Phys. Solids 53 (2005) 1827-1854
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1827-1854
    • Dingrevillea, R.1    Qu, J.2    Cherkaoui, M.3
  • 29
    • 0037119084 scopus 로고    scopus 로고
    • Indentation size effect in polycrystalline F.C.C metals
    • Elmustafa A.A., and Stone D.S. 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
  • 30
    • 0001244104 scopus 로고
    • Theory of micropolar elasticity
    • Liebowitz H. (Ed), Academic Press, New York
    • Eringen A.C. Theory of micropolar elasticity. In: Liebowitz H. (Ed). Fracture, An Advanced Treatise 2 (1968), Academic Press, New York 621-729
    • (1968) Fracture, An Advanced Treatise , vol.2 , pp. 621-729
    • Eringen, A.C.1
  • 32
    • 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
  • 34
    • 0035479791 scopus 로고    scopus 로고
    • A reformulation of strain gradient plasticity
    • Fleck N.A., and Hutchinson J.W. 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
    • Fremond M., and Nedjar B. Damage, gradient of damage and principle of virtual power. Int. J. Solids Struct. 33 8 (1996) 1083-1103
    • (1996) Int. J. Solids Struct. , vol.33 , Issue.8 , pp. 1083-1103
    • Fremond, M.1    Nedjar, B.2
  • 37
    • 33847709841 scopus 로고    scopus 로고
    • Size-dependent yield strength of thin films
    • Fredriksson P., and Gudmundson P. Size-dependent yield strength of thin films. J. Mech. Phys. Solids 53 (2005) 1834-1854
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1834-1854
    • Fredriksson, P.1    Gudmundson, P.2
  • 38
    • 0035310825 scopus 로고    scopus 로고
    • Taylor-based nonlocal theory of plasticity
    • Gao H., and Huang Y. Taylor-based nonlocal theory of plasticity. Int. J. Solids Struct. 38 (2001) 2615-2637
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 2615-2637
    • Gao, H.1    Huang, Y.2
  • 39
  • 40
    • 0015161795 scopus 로고
    • Some remarks on elastic-plastic deformation at finite strain
    • Green A.E., and Naghdi P.M. Some remarks on elastic-plastic deformation at finite strain. Int. J. Eng. Sci. 9 (1971) 1219-1229
    • (1971) Int. J. Eng. Sci. , vol.9 , pp. 1219-1229
    • Green, A.E.1    Naghdi, P.M.2
  • 41
    • 0343337643 scopus 로고    scopus 로고
    • On the plasticity of single crystals: free energy, microforces, plastic-strain gradients
    • Gurtin M.E. On the plasticity of single crystals: free energy, microforces, plastic-strain gradients. J. Mech. Phys. Solids 48 (2000) 989-1036
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 989-1036
    • Gurtin, M.E.1
  • 42
    • 0036131798 scopus 로고    scopus 로고
    • A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations
    • Gurtin M.E. A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. J. Mech. Phys. Solids 50 1 (2002) 5-32
    • (2002) J. Mech. Phys. Solids , 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
    • Gurtin M.E. 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
    • 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
    • Gurtin M.E. 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
  • 45
    • 18444400869 scopus 로고    scopus 로고
    • A theory of strain-gradient plasticity for isotropic, plasticity irrotational materials. Part I: Small Deformations
    • Gurtin M.E., and Anand L. A theory of strain-gradient plasticity for isotropic, plasticity 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
  • 47
    • 0039494889 scopus 로고    scopus 로고
    • A general theory of curved deformable interfaces in solids at equilibrium
    • Gurtin M.E., Weissmuller J., and Larche F. A general theory of curved deformable interfaces in solids at equilibrium. Philos. Mag. A 78 (1998) 1093-1109
    • (1998) Philos. Mag. A , vol.78 , pp. 1093-1109
    • Gurtin, M.E.1    Weissmuller, J.2    Larche, F.3
  • 48
    • 1642633214 scopus 로고    scopus 로고
    • A unified treatment of strain gradient plasticity
    • Gudmundson P. 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
  • 49
    • 0038820385 scopus 로고    scopus 로고
    • Strain gradient effect in nanoscale thin films
    • Haque M.A., and Saif M.T.A. 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
  • 50
    • 29244474595 scopus 로고    scopus 로고
    • Discrete dislocation dynamics simulations of surface induced size effects in plasticity
    • Han C.-S., Hartmaier A., Gao H., and Huang Y. Discrete dislocation dynamics simulations of surface induced size effects in plasticity. Mater. Sci. Eng. A 415 (2006) 225-233
    • (2006) Mater. Sci. Eng. A , vol.415 , pp. 225-233
    • Han, C.-S.1    Hartmaier, A.2    Gao, H.3    Huang, Y.4
  • 52
    • 0030244140 scopus 로고    scopus 로고
    • Plastic flow and fracture of a particulate metal matrix composite
    • Kiser M.T., Zok F.W., and Wilkinson D.S. 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
  • 53
    • 0000907073 scopus 로고
    • Dislocations and continuum mechanics
    • Kröner E. Dislocations and continuum mechanics. Appl. Mech. Rev. 15 (1962) 599-606
    • (1962) Appl. Mech. Rev. , vol.15 , pp. 599-606
    • Kröner, E.1
  • 54
    • 0023827332 scopus 로고
    • Localization limiters in transient problems
    • Lasry D., and Belytschko T. Localization limiters in transient problems. Int. J. Solids Struct. 24 (1988) 581-597
    • (1988) Int. J. Solids Struct. , vol.24 , pp. 581-597
    • Lasry, D.1    Belytschko, T.2
  • 55
    • 0035975245 scopus 로고    scopus 로고
    • Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity
    • Liebe T., and Steinmann P. Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity. Int. J. Numer. Methods Eng. 51 (2001) 1437-1467
    • (2001) Int. J. Numer. Methods Eng. , vol.51 , pp. 1437-1467
    • Liebe, T.1    Steinmann, P.2
  • 56
    • 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
    • Lim Y.Y., and Chaudhri Y.Y. 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
  • 57
    • 0028201653 scopus 로고
    • Particle reinforced aluminum and magnesium matrix composites
    • Lloyd D.J. 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
  • 58
    • 0029289877 scopus 로고
    • Size dependent hardness in silver single crystals
    • Ma Q., and Clarke D.R. 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
  • 60
    • 0242717850 scopus 로고    scopus 로고
    • Determination of indenter tip geometry and indentation contact area for depth sensing indentation experiments
    • McElhaney K.W., Valssak J.J., and Nix W.D. 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
  • 61
    • 0033728964 scopus 로고    scopus 로고
    • On the continuum formulation of higher order gradient plasticity for single and polycrystals
    • Mentzel A., and Steinmann P. On the continuum formulation of higher order gradient plasticity for single and polycrystals. J. Mech. Phys. Solids 48 (2000) 1777-1796
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1777-1796
    • Mentzel, A.1    Steinmann, P.2
  • 62
    • 0040366845 scopus 로고
    • Micro-structure in linear elasticity
    • Mindlin R.D. 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
  • 63
    • 44949281328 scopus 로고
    • A variational principle for gradient principle
    • Mühlhaus H.B., and Aifantis E.C. A variational principle for gradient principle. Int. J. Solids Struct. 28 (1991) 845-857
    • (1991) Int. J. Solids Struct. , vol.28 , pp. 845-857
    • Mühlhaus, H.B.1    Aifantis, E.C.2
  • 64
    • 0030244141 scopus 로고    scopus 로고
    • The influence of particle size and particle fracture on the elastic/plastic deformation of metal matrix composites
    • Nan C.-W., and Clarke D.R. 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
  • 65
    • 0032020971 scopus 로고    scopus 로고
    • Indentation size effects in crystalline materials: a law for strain gradient plasticity
    • Nix W.D., and Gao H. 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
  • 66
    • 0038312120 scopus 로고    scopus 로고
    • Discrete dislocation analysis of size effects in thin films
    • Nicola L., Van der Giessen E., and Needleman A. Discrete dislocation analysis of size effects in thin films. J. Appl. Phys. 93 (2003) 5920-5928
    • (2003) J. Appl. Phys. , vol.93 , pp. 5920-5928
    • Nicola, L.1    Van der Giessen, E.2    Needleman, A.3
  • 67
    • 50449140340 scopus 로고
    • Some geometrical relations in dislocated crystals
    • Nye J.F. Some geometrical relations in dislocated crystals. Acta Metall. 1 (1953) 153-162
    • (1953) Acta Metall. , vol.1 , pp. 153-162
    • Nye, J.F.1
  • 68
    • 33847715841 scopus 로고    scopus 로고
    • Pamin, J., 1994. Gradient-Dependent Plasticity in Numerical Simulation of Localization Phenomena. Dissertation, Delft University of Technology.
  • 70
    • 2942552905 scopus 로고    scopus 로고
    • Unified thermodynamic framework-for nonlocal/gradient continuum theories
    • Polizzotto C. Unified thermodynamic framework-for nonlocal/gradient continuum theories. Eur. J. Mech. A/Solids 22 (2003) 651-668
    • (2003) Eur. J. Mech. A/Solids , vol.22 , pp. 651-668
    • Polizzotto, C.1
  • 71
    • 0032155927 scopus 로고    scopus 로고
    • A thermodynamics-based formulation of gradient-dependent plasticity
    • Polizzotto C., and Borino G. A thermodynamics-based formulation of gradient-dependent plasticity. Eur. J. Mech. A/Solids 17 (1998) 741-761
    • (1998) Eur. J. Mech. A/Solids , vol.17 , pp. 741-761
    • Polizzotto, C.1    Borino, G.2
  • 72
    • 0030085874 scopus 로고    scopus 로고
    • Micro-hardness of annealed and work-hardened copper polycrystals
    • Poole W.J., Ashby M.F., and Fleck N.A. 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
    • 0028482185 scopus 로고
    • A superdislocation model for the strengthening of metal matrix composites and the initiation and propagation of shear bands
    • Rhee M., Hirth J.P., and Zbib H.M. 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
  • 74
    • 12344309296 scopus 로고    scopus 로고
    • Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies
    • Sharma P., and Ganti S. Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies. J. Appl. Mech. 71 (2004) 663-671
    • (2004) J. Appl. Mech. , vol.71 , pp. 663-671
    • Sharma, P.1    Ganti, S.2
  • 75
    • 0037340835 scopus 로고    scopus 로고
    • On the measurement of the plasticity length scale parameter in LIGA nickel foils
    • Shrotriya P., Allameh S.M., Lou J., Buchheit T., and Soboyejo W.O. 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
  • 76
    • 0001275882 scopus 로고    scopus 로고
    • A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: Fundamentals
    • Shizawa K., and Zbib H.M. A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: Fundamentals. Int. J. Plasticity 15 (1999) 899-938
    • (1999) Int. J. Plasticity , vol.15 , pp. 899-938
    • Shizawa, K.1    Zbib, H.M.2
  • 77
    • 0032065801 scopus 로고    scopus 로고
    • The prediction of a size effect in micro-indentation
    • Shu J.Y., and Fleck N.A. The prediction of a size effect in micro-indentation. Int. J. Solids Struct. 35 (1998) 1363-1383
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 1363-1383
    • Shu, J.Y.1    Fleck, N.A.2
  • 78
    • 0035371582 scopus 로고    scopus 로고
    • Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity
    • Shu J.Y., Fleck N.A., Van der Giessen E., and Needleman A. 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
  • 79
    • 0032158229 scopus 로고    scopus 로고
    • A microbend test method for measuring the plasticity length-scale
    • Stolken J.S., and Evans A.G. 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
    • Svendsen B. Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations. J. Mech. Phys. Solids 50 (2002) 1297-1329
    • (2002) J. Mech. Phys. Solids , 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
    • Swadener J.G., George E.P., and Pharr G.M. The correlation of the indentation size effect measured with indenters of various shapes. J. Mech. Phys. Solids 50 (2002) 681-694
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 681-694
    • Swadener, J.G.1    George, E.P.2    Pharr, G.M.3
  • 83
    • 0036007966 scopus 로고    scopus 로고
    • Damage and size effect during superplastic deformation
    • Taylor M.B., Zbib H.M., and Khaleel M.A. 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
  • 84
    • 0029694917 scopus 로고    scopus 로고
    • A gradient theory of internal variables
    • Valanis K.C. A gradient theory of internal variables. Acta Mech. 116 (1996) 1-14
    • (1996) Acta Mech. , vol.116 , pp. 1-14
    • Valanis, K.C.1
  • 86
    • 13844320056 scopus 로고    scopus 로고
    • Gradient plasticity theory with a variable length scale parameter
    • Voyiadjis G.Z., and Abu Al-Rub R.K. Gradient plasticity theory with a variable length scale parameter. Int. J. Solids Struct. 42 (2005) 3998-4029
    • (2005) Int. J. Solids Struct. , vol.42 , pp. 3998-4029
    • Voyiadjis, G.Z.1    Abu Al-Rub, R.K.2
  • 87
    • 33847714098 scopus 로고    scopus 로고
    • Voyiadjis, G.Z., Abu Al-Rub, R.K., in press. A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: I. Theoretical Formulation, II. Numerical Aspects and Simulations. Int. J. Damage Mechanics.
  • 88
    • 0035396809 scopus 로고    scopus 로고
    • Multiscale analysis of multiple damage mechanisms coupled with inelastic behavior of composite materials
    • Voyiadjis G.Z., Deliktas B., and Aifantis E.C. 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
  • 89
    • 0038059113 scopus 로고    scopus 로고
    • Non-local coupling of viscoplasticity and anisotropic viscodamage for impact problems using the gradient theory
    • Voyiadjis G.Z., Abu Al-Rub R.K., and Palazotto A.N. 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
  • 90
    • 1142300599 scopus 로고    scopus 로고
    • Thermodynamic formulations for non-local coupling of viscoplasticity and anisotropic viscodamage for dynamic localization problems using gradient theory
    • Voyiadjis G.Z., Abu Al-Rub R.K., and Palazotto A.N. 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
    • 0035834483 scopus 로고    scopus 로고
    • Identification of the intrinsic material length in gradient plasticity theory from micro-indentation tests
    • Yuan H., and Chen J. Identification of the intrinsic material length in gradient plasticity theory from micro-indentation tests. Int. J. Solids Struct. 38 (2001) 8171-8187
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 8171-8187
    • Yuan, H.1    Chen, J.2
  • 92
    • 0023827471 scopus 로고
    • On the localization and postlocalization behavior of plastic deformation, I, II, III
    • 279-292, 293-305
    • Zbib H.M., and Aifantis E.C. 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
  • 93
    • 0029325773 scopus 로고
    • Flow strength and size effect of an Al-Si-Mg composite model system under multiaxial loading
    • Zhu H.T., and Zbib H.M. 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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