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Volumn 26, Issue 10, 2010, Pages 1527-1540

Simulation of micro-indentation hardness of FCC single crystals by mechanism-based strain gradient crystal plasticity

Author keywords

Micro indentation size effect; MSG CP model; Pile up and sink in

Indexed keywords

ACTIVE SYSTEMS; BERKOVICH INDENTERS; CONICAL INDENTERS; CONTACT ANALYSIS; CONTACT AREAS; DEPTH DEPENDENCE; FCC SINGLE CRYSTALS; GEOMETRICALLY NECESSARY DISLOCATIONS; INDENTATION DEPTH; MECHANISM-BASED STRAIN GRADIENT CRYSTAL PLASTICITIES; MICRO INDENTATION; MSG-CP MODEL; PILE-UP AND SINK-IN; PILE-UPS; SHARP TIP; SINGLE CRYSTAL COPPER; SINK-IN; SIZE EFFECTS; SLIP RESISTANCE; USER MATERIAL SUBROUTINE;

EID: 77956617368     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2010.01.011     Document Type: Article
Times cited : (75)

References (74)
  • 3
    • 34047142149 scopus 로고    scopus 로고
    • Prediction of micro and nano-indentation size effect from conical or pyramidal indentation
    • R.K.A. Al-Rub Prediction of micro and nano-indentation size effect from conical or pyramidal indentation Mechanics of Materials 39 2007 787 802
    • (2007) Mechanics of Materials , vol.39 , pp. 787-802
    • Al-Rub, R.K.A.1
  • 4
    • 43149099900 scopus 로고    scopus 로고
    • Interfacial gradient plasticity governs scale-dependent yield strength and strain hardening rates in micro/nano structured metals
    • R.K.A. Al-Rub Interfacial gradient plasticity governs scale-dependent yield strength and strain hardening rates in micro/nano structured metals International Journal of Plasticity 24 2008 1277 1306
    • (2008) International Journal of Plasticity , vol.24 , pp. 1277-1306
    • Al-Rub, R.K.A.1
  • 5
    • 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.A. 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 International Journal of Plasticity 20 2004 1139 1182
    • (2004) International Journal of Plasticity , vol.20 , pp. 1139-1182
    • Al-Rub, R.K.A.1    Voyiadjis, G.Z.2
  • 7
    • 31144435070 scopus 로고    scopus 로고
    • On modeling the micro-indentation response of an amorphous polymer
    • L. Anand, and N.M. Ames On modeling the micro-indentation response of an amorphous polymer International Journal of Plasticity 22 2006 1123 1170
    • (2006) International Journal of Plasticity , vol.22 , pp. 1123-1170
    • Anand, L.1    Ames, N.M.2
  • 8
    • 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 Materialia 47 1999 1597 1611
    • (1999) Acta Materialia , vol.47 , pp. 1597-1611
    • Arsenlis, A.1    Parks, D.M.2
  • 9
    • 0022083554 scopus 로고
    • Texture development and strain hardening in rate dependent polycrystals
    • R.J. Asaro, and A. Needleman Texture development and strain hardening in rate dependent polycrystals Acta Metallurgica et Materialia 33 1985 923 953
    • (1985) Acta Metallurgica et Materialia , vol.33 , pp. 923-953
    • Asaro, R.J.1    Needleman, A.2
  • 12
    • 0033309102 scopus 로고    scopus 로고
    • The crack tip fields in strain gradient plasticity: The asymptotic and numerical analyses
    • J.Y. Chen, Y. Wei, Y. Huang, J.W. Hutchinson, and K.C. Hwang The crack tip fields in strain gradient plasticity: the asymptotic and numerical analyses Engineering Fracture Mechanics 64 1999 625 648
    • (1999) Engineering Fracture Mechanics , vol.64 , pp. 625-648
    • Chen, J.Y.1    Wei, Y.2    Huang, Y.3    Hutchinson, J.W.4    Hwang, K.C.5
  • 13
    • 18444392117 scopus 로고    scopus 로고
    • A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts
    • K.S. Cheong, E.P. Busso, and A. Arsenlis A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts International Journal of Plasticity 21 2005 1797 1814
    • (2005) International Journal of Plasticity , vol.21 , pp. 1797-1814
    • Cheong, K.S.1    Busso, E.P.2    Arsenlis, A.3
  • 14
    • 17644364404 scopus 로고    scopus 로고
    • Numerical study of the flow responses and the geometric constraint effects in Ni-base two-phase single crystals using strain gradient plasticity
    • Y.S. Choi, T.A. Parthasarathy, D.M. Uchic, and M.D. Dimiduk Numerical study of the flow responses and the geometric constraint effects in Ni-base two-phase single crystals using strain gradient plasticity Materials Science and Engineering A397 2005 69 83
    • (2005) Materials Science and Engineering , vol.397 , pp. 69-83
    • Choi, Y.S.1    Parthasarathy, T.A.2    Uchic, D.M.3    Dimiduk, M.D.4
  • 18
    • 0032476329 scopus 로고    scopus 로고
    • Three-dimensional modeling of indent-induced plastic zone at a mesoscale
    • M.C. Fivel, C.F. Robertson, G.R. Canova, and L. Boulanger Three-dimensional modeling of indent-induced plastic zone at a mesoscale Acta Materialia 46 1998 6183 6194
    • (1998) Acta Materialia , vol.46 , pp. 6183-6194
    • Fivel, M.C.1    Robertson, C.F.2    Canova, G.R.3    Boulanger, L.4
  • 23
    • 56949091296 scopus 로고    scopus 로고
    • A mathematical basis for strain gradient plasticity theory Part I: Scale plastic multiplier
    • N.A. Fleck, and J.R. Willis A mathematical basis for strain gradient plasticity theory Part I: scale plastic multiplier Journal of the Mechanics and Physics of Solids 57 2009 161 177
    • (2009) Journal of the Mechanics and Physics of Solids , vol.57 , pp. 161-177
    • Fleck, N.A.1    Willis, J.R.2
  • 25
    • 0032693060 scopus 로고    scopus 로고
    • Modeling plasticity at the micro-meter scale
    • H. Gao, Y. Huang, and W.D. Nix Modeling plasticity at the micro-meter scale Naturwissenschaften 86 1999 507 515
    • (1999) Naturwissenschaften , vol.86 , pp. 507-515
    • Gao, H.1    Huang, Y.2    Nix, W.D.3
  • 28
    • 0036477796 scopus 로고    scopus 로고
    • Affine covariant-contravariant vector forms for the elastic field of parametric dislocation in isotropic crystals
    • N.M. Ghoniem, J. Huang, and Z. Wang Affine covariant-contravariant vector forms for the elastic field of parametric dislocation in isotropic crystals Philosophical Magazine Letters 82 2002 55 63
    • (2002) Philosophical Magazine Letters , vol.82 , pp. 55-63
    • Ghoniem, N.M.1    Huang, J.2    Wang, Z.3
  • 29
    • 0343337643 scopus 로고    scopus 로고
    • On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
    • M.E. Gurtin On the plasticity of single crystals: free energy, microforces, plastic-strain gradients Journal of the Mechanics and Physics of Solids 48 2000 989 1036
    • (2000) Journal of the Mechanics and Physics of Solids , vol.48 , pp. 989-1036
    • Gurtin, M.E.1
  • 30
    • 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 Journal of the Mechanics and Physics of Solids 50 2002 5 32
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 5-32
    • Gurtin, M.E.1
  • 34
    • 61849178678 scopus 로고    scopus 로고
    • Computational modelling of dissipative open-cell cellular solids at finite deformations
    • P. Hard af Segerstad, S. Toll, and R. Larsson Computational modelling of dissipative open-cell cellular solids at finite deformations International Journal of Plasticity 25 2009 802 821
    • (2009) International Journal of Plasticity , vol.25 , pp. 802-821
    • Hard Af Segerstad, P.1    Toll, S.2    Larsson, R.3
  • 35
    • 49949139226 scopus 로고
    • Generalized constitutive relations for incremental deformation of metal crystals by multi-slip
    • R. Hill Generalized constitutive relations for incremental deformation of metal crystals by multi-slip Journal of the Mechanics and Physics of Solids 15 1967 79 95
    • (1967) Journal of the Mechanics and Physics of Solids , vol.15 , pp. 79-95
    • Hill, R.1
  • 36
    • 0015490588 scopus 로고
    • Constitutive analysis of elastic-plastic crystals at arbitrary strain
    • R. Hill, and J.R. Rice Constitutive analysis of elastic-plastic crystals at arbitrary strain Journal of the Mechanics and Physics of Solids 20 1972 401 413
    • (1972) Journal of the Mechanics and Physics of Solids , vol.20 , pp. 401-413
    • Hill, R.1    Rice, J.R.2
  • 37
    • 0033332323 scopus 로고    scopus 로고
    • Analytic and numerical studies on mode i and mode II fracture inelastic-plastic materials with strain gradient effects
    • Y. Huang, J.Y. Chen, T.F. Guo, L. Zhang, and K.C. Hwang Analytic and numerical studies on mode I and mode II fracture inelastic-plastic materials with strain gradient effects International Journal of Fracture 100 1999 1 27
    • (1999) International Journal of Fracture , vol.100 , pp. 1-27
    • Huang, Y.1    Chen, J.Y.2    Guo, T.F.3    Zhang, L.4    Hwang, K.C.5
  • 39
    • 0034256154 scopus 로고    scopus 로고
    • A study of micro-indentation hardness tests by mechanism-based strain gradient plasticity
    • Y. Huang, Z. Xue, H. Gao, W.D. Nix, and Z.C. Xia A study of micro-indentation hardness tests by mechanism-based strain gradient plasticity Journals of Material Research 15 2000 1786 1796
    • (2000) Journals of Material Research , vol.15 , pp. 1786-1796
    • Huang, Y.1    Xue, Z.2    Gao, H.3    Nix, W.D.4    Xia, Z.C.5
  • 41
    • 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 Proceedings of the Physical Society of London A348 1976 101 127
    • (1976) Proceedings of the Physical Society of London , vol.348 , pp. 101-127
    • Hutchinson, J.W.1
  • 43
    • 59649114158 scopus 로고    scopus 로고
    • A large-deformation strain-gradient theory for isotropic viscoplastic materials
    • S.P. Lele, and L. Anand A large-deformation strain-gradient theory for isotropic viscoplastic materials International Journal of Plasticity 25 2009 420 453
    • (2009) International Journal of Plasticity , vol.25 , pp. 420-453
    • Lele, S.P.1    Anand, L.2
  • 45
    • 25444532283 scopus 로고    scopus 로고
    • Combined numerical simulation and nanoindentation for determining mechanical properties of single crystal copper at mesoscale
    • Y. Liu, B. Wang, M. Yoshino, S. Roya, H. Lu, and R. Komanduri Combined numerical simulation and nanoindentation for determining mechanical properties of single crystal copper at mesoscale Journal of the Mechanics and Physics of Solids 53 2005 2718 2741
    • (2005) Journal of the Mechanics and Physics of Solids , vol.53 , pp. 2718-2741
    • Liu, Y.1    Wang, B.2    Yoshino, M.3    Roya, S.4    Lu, H.5    Komanduri, R.6
  • 46
    • 0029289877 scopus 로고
    • Size dependent hardness of silver single crystal
    • Q. Ma, and D.R. Clarke Size dependent hardness of silver single crystal Journals of Material Research 10 1995 853 863
    • (1995) Journals of Material Research , vol.10 , pp. 853-863
    • Ma, Q.1    Clarke, D.R.2
  • 47
    • 0242717850 scopus 로고    scopus 로고
    • Determination of indentation tip geometry and indentation contact area for depth-sensing indentation experiments
    • K.W. McElhaney, J.J. Vlassak, and W.D. Nix Determination of indentation tip geometry and indentation contact area for depth-sensing indentation experiments Journals of Material Research 13 1998 1300 1306
    • (1998) Journals of Material Research , vol.13 , pp. 1300-1306
    • McElhaney, K.W.1    Vlassak, J.J.2    Nix, W.D.3
  • 48
    • 0034744751 scopus 로고    scopus 로고
    • Finite element implementation of a generalized non-local rate-dependent crystallographic formulation for finite strains
    • F.T. Meissonier, E.P. Busso, and N.P. O'Dowd Finite element implementation of a generalized non-local rate-dependent crystallographic formulation for finite strains International Journal of Plasticity 17 2001 601 640
    • (2001) International Journal of Plasticity , vol.17 , pp. 601-640
    • Meissonier, F.T.1    Busso, E.P.2    O'Dowd, N.P.3
  • 49
    • 0033728964 scopus 로고    scopus 로고
    • On the continuum formulation of higher gradient plasticity for single and polycrystals
    • A. Menzel, and P. Steinmann On the continuum formulation of higher gradient plasticity for single and polycrystals Journal of the Mechanics and Physics of Solids 48 2000 1777 1796
    • (2000) Journal of the Mechanics and Physics of Solids , vol.48 , pp. 1777-1796
    • Menzel, A.1    Steinmann, P.2
  • 51
    • 0000095439 scopus 로고
    • Second gradient of strain and surface tension in linear elasticity
    • R.D. Mindlin Second gradient of strain and surface tension in linear elasticity International Journal of Solids and Structures 1 1965 417 438
    • (1965) International Journal of Solids and Structures , vol.1 , pp. 417-438
    • Mindlin, R.D.1
  • 52
    • 48749103230 scopus 로고    scopus 로고
    • Size effects in indentation response of thin films at the nanoscale: A molecular dynamics study
    • A.K. Nair, E. Parker, P. Gaudreau, D. Farkas, and R.D. Kriz Size effects in indentation response of thin films at the nanoscale: a molecular dynamics study International Journal of Plasticity 24 2008 2016 2031
    • (2008) International Journal of Plasticity , vol.24 , pp. 2016-2031
    • Nair, A.K.1    Parker, E.2    Gaudreau, P.3    Farkas, D.4    Kriz, R.D.5
  • 53
    • 0024766321 scopus 로고
    • Mechanical properties of thin films
    • W.D. Nix Mechanical properties of thin films Materials Transactions A20 1989 2217 2245
    • (1989) Materials Transactions , vol.20 , pp. 2217-2245
    • Nix, W.D.1
  • 54
    • 0032020971 scopus 로고    scopus 로고
    • Indentation size effects in crystalline materials: A law for strain gradient plasticity
    • W.D. Nix, and H.J. Gao Indentation size effects in crystalline materials: a law for strain gradient plasticity Journal of the Mechanics and Physics of Solids 46 1998 411 425
    • (1998) Journal of the Mechanics and Physics of Solids , vol.46 , pp. 411-425
    • Nix, W.D.1    Gao, H.J.2
  • 55
    • 22144498865 scopus 로고    scopus 로고
    • Crystal plasticity analysis of dislocation emission from micro voids
    • T. Ohashi Crystal plasticity analysis of dislocation emission from micro voids International Journal of Plasticity 21 2005 2071 2088
    • (2005) International Journal of Plasticity , vol.21 , pp. 2071-2088
    • Ohashi, T.1
  • 56
    • 33947706819 scopus 로고    scopus 로고
    • A homogenization theory of strain gradient single crystal plasticity and its finite element discretization
    • D. Okumura, Y. Higashi, K. Sumida, and N. Ohno A homogenization theory of strain gradient single crystal plasticity and its finite element discretization International Journal of Plasticity 23 2007 1148 1166
    • (2007) International Journal of Plasticity , vol.23 , pp. 1148-1166
    • Okumura, D.1    Higashi, Y.2    Sumida, K.3    Ohno, N.4
  • 57
    • 0026875935 scopus 로고
    • An improved technique for determining hardness and elastic modulus using loading and displacement sensing indentation
    • W.C. Oliver, and G.M. Pharr An improved technique for determining hardness and elastic modulus using loading and displacement sensing indentation Journal of Materials Research 7 1992 1564 1583
    • (1992) Journal of Materials Research , vol.7 , pp. 1564-1583
    • Oliver, W.C.1    Pharr, G.M.2
  • 58
    • 63149193432 scopus 로고    scopus 로고
    • The equivalence of axisymmetric indentation model for three-dimensional indentation hardness
    • J. Qin, Y. Huang, J. Xiao, and K.C. Hwang The equivalence of axisymmetric indentation model for three-dimensional indentation hardness Journals of Material Research 24 2009 776 783
    • (2009) Journals of Material Research , vol.24 , pp. 776-783
    • Qin, J.1    Huang, Y.2    Xiao, J.3    Hwang, K.C.4
  • 59
    • 33344475846 scopus 로고    scopus 로고
    • The indentation size effect in the spherical indentation of iridium: A study via the conventional theory of mechanism-based strain gradient plasticity
    • DOI 10.1016/j.ijplas.2005.07.008, PII S0749641905001440
    • S. Qu, Y. Huang, G.M. Pharr, and K.C. Hwang The indentation size effect in the spherical indentation of iridium: a study via the conventional theory of mechanism-based strain gradient plasticity International Journal of Plasticity 22 2006 1265 1286 (Pubitemid 43290610)
    • (2006) International Journal of Plasticity , vol.22 , Issue.7 , pp. 1265-1286
    • Qu, S.1    Huang, Y.2    Pharr, G.M.3    Hwang, K.C.4
  • 60
    • 0015161025 scopus 로고
    • Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
    • J.R. Rice Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity Journal of the Mechanics and Physics of Solids 19 1971 433 455
    • (1971) Journal of the Mechanics and Physics of Solids , vol.19 , pp. 433-455
    • Rice, J.R.1
  • 61
    • 70350733645 scopus 로고    scopus 로고
    • The equivalent axisymmetric model for Berkovich indenters in power-law hardening materials
    • Z. Shi, X. Feng, Y. Huang, J. Xiao, and K.C. Hwang The equivalent axisymmetric model for Berkovich indenters in power-law hardening materials International Journal of Plasticity 26 2010 141 148
    • (2010) International Journal of Plasticity , vol.26 , pp. 141-148
    • Shi, Z.1    Feng, X.2    Huang, Y.3    Xiao, J.4    Hwang, K.C.5
  • 62
    • 0033075540 scopus 로고    scopus 로고
    • Strain gradient crystal plasticity: Size-dependent deformation of bicrystals
    • J.Y. Shu, and N.A. Fleck Strain gradient crystal plasticity: size-dependent deformation of bicrystals Journal of the Mechanics and Physics of Solids 47 1999 297 324
    • (1999) Journal of the Mechanics and Physics of Solids , vol.47 , pp. 297-324
    • Shu, J.Y.1    Fleck, N.A.2
  • 63
    • 33845869877 scopus 로고    scopus 로고
    • Fracture of bicrystal metal/ceramic interfaces: A study via the mechanism-based strain gradient crystal plasticity theory
    • A. Siddiq, S. Schmauder, and Y. Huang Fracture of bicrystal metal/ceramic interfaces: a study via the mechanism-based strain gradient crystal plasticity theory International Journal of Plasticity 23 2007 665 689
    • (2007) International Journal of Plasticity , vol.23 , pp. 665-689
    • Siddiq, A.1    Schmauder, S.2    Huang, Y.3
  • 66
    • 71649088586 scopus 로고    scopus 로고
    • Mechanics of strain gradient plasticity with particular reference to decomposition of the state variables into energetic and dissipative components
    • G.Z. Voyiadjis, and B. Deliktas Mechanics of strain gradient plasticity with particular reference to decomposition of the state variables into energetic and dissipative components International Journal of Engineering Science 47 2009 1405 1423
    • (2009) International Journal of Engineering Science , vol.47 , pp. 1405-1423
    • Voyiadjis, G.Z.1    Deliktas, B.2
  • 67
    • 69449097116 scopus 로고    scopus 로고
    • Formulation of strain gradient plasticity with interface energy in a consistent thermodynamic framework
    • G.Z. Voyiadjis, and B. Deliktas Formulation of strain gradient plasticity with interface energy in a consistent thermodynamic framework International Journal of Plasticity 25 2009 1997 2024
    • (2009) International Journal of Plasticity , vol.25 , pp. 1997-2024
    • Voyiadjis, G.Z.1    Deliktas, B.2
  • 69
    • 16344379922 scopus 로고    scopus 로고
    • Size effects in single crystal thin films: Nonlocal crystal plasticity simulations
    • DOI 10.1016/j.euromechsol.2005.01.002, PII S0997753805000094
    • S. Yefimov, and E. Van der Giessen Size effects in single crystal thin films: non-local crystal plasticity simulations European Journal of Mechanics - A/Solids 24 2005 183 193 (Pubitemid 40466960)
    • (2005) European Journal of Mechanics, A/Solids , vol.24 , Issue.2 , pp. 183-193
    • Yefimov, S.1    Van Der Giessen, E.2
  • 70
    • 0023834669 scopus 로고
    • On the localization and post localization behavior of plastic deformation. Part I. On the initiation of shear bands. Part II. On the evolution and thickness of shear bands. Part III. On the structure and velocity of Portevin-Le Chatelier bands
    • H.M. Zbib, and E.C. Aifantis On the localization and post localization behavior of plastic deformation. Part I. On the initiation of shear bands. Part II. On the evolution and thickness of shear bands. Part III. On the structure and velocity of Portevin-Le Chatelier bands Mechanica 23 261-277 1988 279 292 293-305
    • (1988) Mechanica , vol.23 , Issue.261-277 , pp. 279-292
    • Zbib, H.M.1    Aifantis, E.C.2
  • 73
    • 34447337127 scopus 로고    scopus 로고
    • Microscopic heterogeneity and macroscopic mechanical behavior of polycrystalline materials
    • K.S. Zhang Microscopic heterogeneity and macroscopic mechanical behavior of polycrystalline materials Acta Mechanica Sinica 36 2004 714 722 (in Chinese)
    • (2004) Acta Mechanica Sinica , vol.36 , pp. 714-722
    • Zhang, K.S.1
  • 74
    • 10044286867 scopus 로고    scopus 로고
    • Simulation of micro plasticity-induced deformation in uniaxially strained ceramics by 3-D Voronoi polycrystal modeling
    • K.S. Zhang, M.S. Wu, and R. Feng Simulation of micro plasticity-induced deformation in uniaxially strained ceramics by 3-D Voronoi polycrystal modeling International Journal of Plasticity 21 2005 801 834
    • (2005) International Journal of Plasticity , vol.21 , pp. 801-834
    • Zhang, K.S.1    Wu, M.S.2    Feng, R.3


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