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Volumn 44, Issue , 2014, Pages 1-16

Strain gradient plasticity analysis of the influence of grain size and distribution on the yield strength in polycrystals

Author keywords

Grain size distribution; Hall Petch effect; Strain gradient plasticity

Indexed keywords

DEFORMATION; GRAIN BOUNDARIES; MICROSTRUCTURE; PLASTICITY; POPULATION STATISTICS; STRAIN;

EID: 84887373406     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2013.09.004     Document Type: Article
Times cited : (24)

References (41)
  • 1
    • 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
  • 2
    • 0014731854 scopus 로고
    • Deformation of plastically non-homogeneous materials
    • M.F. Ashby Deformation of plastically non-homogeneous materials Phil. Mag. 21 1970 399 404
    • (1970) Phil. Mag. , vol.21 , pp. 399-404
    • Ashby, M.F.1
  • 3
    • 33748899066 scopus 로고    scopus 로고
    • Impact of the grain size distribution on the yield stress of heterogeneous materials
    • DOI 10.1016/j.ijplas.2006.03.004, PII S074964190600043X
    • S. Berbenni, V. Favier, and M. Berveiller Impact of the grain size distribution on the yield stress of heterogeneous materials Int. J. Plast. 23 2007 114 142 (Pubitemid 44425399)
    • (2007) International Journal of Plasticity , vol.23 , Issue.1 , pp. 114-142
    • Berbenni, S.1    Favier, V.2    Berveiller, M.3
  • 4
    • 33846260844 scopus 로고    scopus 로고
    • A strain gradient crystal plasticity analysis of grain size effects in polycrystals
    • DOI 10.1016/j.euromechsol.2006.09.006, PII S0997753806001094
    • U. Borg A strain gradient crystal plasticity analysis of grains size effects in polycrystals Euro J. Mech. A Solids 26 2007 313 324 (Pubitemid 46109320)
    • (2007) European Journal of Mechanics, A/Solids , vol.26 , Issue.2 , pp. 313-324
    • Borg, U.1
  • 5
    • 75849136581 scopus 로고    scopus 로고
    • The "ductilities" in single phase steels from usual to nano-scale microstructures
    • O. Bouaziz The "ductilities" in single phase steels from usual to nano-scale microstructures Mater. Sci. Forum 633-634 2010 205 210
    • (2010) Mater. Sci. Forum , vol.633-634 , pp. 205-210
    • Bouaziz, O.1
  • 6
    • 0027559846 scopus 로고
    • Measurements of grain volume distribution parameters in polycrystals characterized by a log-normal distribution function
    • DOI 10.1016/0956-716X(93)90035-Q
    • J.J. Bucki, and K.J. Kurzydłowski Measurements of grain volume distribution parameters in polycrystals characterized by a log-normal distribution function Scripta Metall. Mater. 28 1993 689 692 (Pubitemid 23642070)
    • (1993) Scripta metallurgica et materialia , vol.28 , Issue.6 , pp. 689-692
    • Bucki, J.J.1    Kurzydlowski, K.J.2
  • 7
    • 6944238629 scopus 로고    scopus 로고
    • Grain-size dependence of the flow stress of Cu from millimeters to nanometers
    • H. Conrad Grain-size dependence of the flow stress of Cu from millimeters to nanometers Metal Mater. Trans. A 35A 2004 2681 2695
    • (2004) Metal Mater. Trans. A , vol.35 A , pp. 2681-2695
    • Conrad, H.1
  • 8
    • 0037016009 scopus 로고    scopus 로고
    • Mechanisms for grain size hardening and softening in Zn
    • DOI 10.1016/S1359-6454(02)00357-9, PII S1359645402003579
    • H. Conrad, and J. Narayan Mechanisms for grain size hardening and softening in Zn Acta Mater. 50 2002 5067 5078 (Pubitemid 35411858)
    • (2002) Acta Materialia , vol.50 , Issue.20 , pp. 5067-5078
    • Conrad, H.1    Narayan, J.2
  • 9
    • 84877813345 scopus 로고    scopus 로고
    • An improved strain gradient formulation with energetic interfaces: Theory and a fully implicit finite element formulation
    • C.F.O. Dahlberg, and J. Faleskog An improved strain gradient formulation with energetic interfaces: theory and a fully implicit finite element formulation Comput. Mech. 51 2013 641 659
    • (2013) Comput. Mech. , vol.51 , pp. 641-659
    • Dahlberg, C.F.O.1    Faleskog, J.2
  • 10
    • 84874106873 scopus 로고    scopus 로고
    • A deformation mechanism map for polycrystals modeled using strain gradient plasticity and interfaces that slide and separate
    • C.F.O. Dahlberg, J. Faleskog, C.N. Niordson, and B.N. Legarth A deformation mechanism map for polycrystals modeled using strain gradient plasticity and interfaces that slide and separate Int. J. Plast. 43 2013 177 195
    • (2013) Int. J. Plast. , vol.43 , pp. 177-195
    • Dahlberg, C.F.O.1    Faleskog, J.2    Niordson, C.N.3    Legarth, B.N.4
  • 11
    • 0037015197 scopus 로고    scopus 로고
    • Nanocrystalline electrodeposited Ni: Microstructure and tensile properties
    • DOI 10.1016/S1359-6454(02)00198-2, PII S1359645402001982
    • F. Dalla Torre, H.V. Swygenhoven, and M. Victoria Nanocrystalline electrodeposited Ni: microstructure and tensile properties Acta Mater. 50 2002 3957 3970 (Pubitemid 34974815)
    • (2002) Acta Materialia , vol.50 , Issue.15 , pp. 3957-3970
    • Dalla Torre, F.1    Van Swygenhoven, H.2    Victoria, M.3
  • 12
    • 60249086139 scopus 로고    scopus 로고
    • A critical assessment of theories of strain gradient plasticity
    • A.G. Evans, and J.W. Hutchinson A critical assessment of theories of strain gradient plasticity Acta Mater. 57 2009 1675 1688
    • (2009) Acta Mater. , vol.57 , pp. 1675-1688
    • Evans, A.G.1    Hutchinson, J.W.2
  • 13
    • 56949091296 scopus 로고    scopus 로고
    • A mathematical basis for strain-gradient plasticity theory - Part I: Scalar plastic multiplier
    • N.A. Fleck, and J.R. Willis A mathematical basis for strain-gradient plasticity theory - part I: scalar plastic multiplier J. Mech. Phys. Sol. 57 2009 161 177
    • (2009) J. Mech. Phys. Sol. , vol.57 , pp. 161-177
    • Fleck, N.A.1    Willis, J.R.2
  • 14
    • 67349265211 scopus 로고    scopus 로고
    • A mathematical basis for strain-gradient plasticity theory - Part II: Tensorial plastic multiplier
    • N.A. Fleck, and J.R. Willis A mathematical basis for strain-gradient plasticity theory - part II: tensorial plastic multiplier J. Mech. Phys. Sol. 57 2009 1045 1057
    • (2009) J. Mech. Phys. Sol. , vol.57 , pp. 1045-1057
    • Fleck, N.A.1    Willis, J.R.2
  • 15
    • 34047123676 scopus 로고    scopus 로고
    • Modelling of the interface between a thin film and a substrate within a strain gradient plasticity framework
    • DOI 10.1016/j.jmps.2006.11.001, PII S0022509606001785
    • P. Fredriksson, and P. Gudmundson Modelling of the interface between a thin film and a substrate within a strain gradient plasticity framework J. Mech. Phys. Sol. 55 2007 939 955 (Pubitemid 46517585)
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , Issue.5 , pp. 939-955
    • Fredriksson, P.1    Gudmundson, P.2
  • 16
    • 1642633214 scopus 로고    scopus 로고
    • A unified treatment of strain gradient plasticity
    • P. Gudmundson A unified treatment of strain gradient plasticity J. Mech. Phys. Sol. 52 2004 1379 1406
    • (2004) J. Mech. Phys. Sol. , vol.52 , pp. 1379-1406
    • Gudmundson, P.1
  • 17
    • 37849003888 scopus 로고    scopus 로고
    • Nanocrystalline grain boundaries that slip and separate: A gradient theory that accounts for grain-boundary stress and conditions at a triple-junction
    • M.E. Gurtin, and L. Anand Nanocrystalline grain boundaries that slip and separate: a gradient theory that accounts for grain-boundary stress and conditions at a triple-junction J. Mech. Phys. Sol. 56 2008 184 199
    • (2008) J. Mech. Phys. Sol. , vol.56 , pp. 184-199
    • Gurtin, M.E.1    Anand, L.2
  • 18
    • 33845945316 scopus 로고
    • The deformation and ageing of mild steel. 3. Discussion of results
    • E.O. Hall The deformation and ageing of mild steel. 3. Discussion of results Proc. Phys. Soc. Lond. B 64 1951 747 753
    • (1951) Proc. Phys. Soc. Lond. B , vol.64 , pp. 747-753
    • Hall, E.O.1
  • 20
    • 21344442678 scopus 로고    scopus 로고
    • Inhomogeneous tensile deformation in ultrafine-grained aluminum
    • DOI 10.1016/j.scriptamat.2005.05.036, PII S1359646205003337
    • P.C. Hung, P.L. Sun, C.Y. Yu, P.W. Kao, and C.P. Chang Inhomogeneous tensile deformation in ultrafine-grained aluminium Scripta Mat. 53 2005 647 652 (Pubitemid 40908825)
    • (2005) Scripta Materialia , vol.53 , Issue.6 , pp. 647-652
    • Hung, P.C.1    Sun, P.L.2    Yu, C.Y.3    Kao, P.W.4    Chang, C.P.5
  • 21
    • 0142211287 scopus 로고    scopus 로고
    • Mechanical behavior of nanocrystalline metals and alloys
    • K.S. Kumar, H.V. Swygenhoven, and S. Suresh Mechanical behavior of nanocrystalline metals and alloys Acta Mater. 51 2003 5743 5774
    • (2003) Acta Mater. , vol.51 , pp. 5743-5774
    • Kumar, K.S.1    Swygenhoven, H.V.2    Suresh, S.3
  • 22
    • 0026889924 scopus 로고
    • Method for grain size and grain size uniformity estimation - applications to polycrystalline materials
    • DOI 10.1016/0956-716X(92)90330-H
    • K.J. Kurzydłowski, and J.J. Bucki A method for grain size and grain size uniformity estimation - applications to polycrystalline materials Scripta Metall. Mater. 27 1992 117 120 (Pubitemid 23594143)
    • (1992) Scripta metallurgica et materialia , vol.27 , Issue.1 , pp. 117-120
    • Kurzydlowski, K.J.1    Bucki, J.J.2
  • 23
    • 0027694219 scopus 로고
    • Flow stress dependence on the distribution of grain size in polycrystals
    • K.J. Kurzydłowski, and J.J. Bucki Flow stress dependence on the distribution of grain size in polycrystals Acta Metall. Mater. 41 1993 3141 3146
    • (1993) Acta Metall. Mater. , vol.41 , pp. 3141-3146
    • Kurzydłowski, K.J.1    Bucki, J.J.2
  • 24
    • 0041687165 scopus 로고    scopus 로고
    • The grain boundary character distribution effect on the flow stress of polycrystals: The influence of crystal lattice texture
    • K.J. Kurzydłowski, B. Ralph, J.J. Bucki, and A. Garbacz The grain boundary character distribution effect on the flow stress of polycrystals: the influence of crystal lattice texture Mat Sci. Eng. A 205 1996 127 132 (Pubitemid 126397477)
    • (1996) Materials Science and Engineering A , vol.205 , Issue.1-2 , pp. 127-132
    • Kurzydlowski, K.J.1    Ralph, B.2    Bucki, J.J.3    Garbacz, A.4
  • 25
    • 77955515119 scopus 로고    scopus 로고
    • Experimental lower bounds on geometrically necessary dislocation density
    • J.W. Kysar, Y. Saito, M.S. Oztop, D. Lee, and W.T. Huh Experimental lower bounds on geometrically necessary dislocation density Int. J. Plast. 26 2010 1097 1123
    • (2010) Int. J. Plast. , vol.26 , pp. 1097-1123
    • Kysar, J.W.1    Saito, Y.2    Oztop, M.S.3    Lee, D.4    Huh, W.T.5
  • 26
    • 77956344449 scopus 로고    scopus 로고
    • Strain gradient plasticity analysis of the grain-size-dependent strength and ductility of polycrystals with evolving grain boundary confinement
    • T.J. Massart, and T. Pardoen Strain gradient plasticity analysis of the grain-size-dependent strength and ductility of polycrystals with evolving grain boundary confinement Acta Mater. 58 2010 5768 5781
    • (2010) Acta Mater. , vol.58 , pp. 5768-5781
    • Massart, T.J.1    Pardoen, T.2
  • 27
    • 32144450456 scopus 로고    scopus 로고
    • Mechanical properties of nanocrystalline materials
    • DOI 10.1016/j.pmatsci.2005.08.003, PII S0079642505000447
    • M.A. Meyers, A. Mishra, and D.J. Benson Mechanical properties of nanocrystalline materials P Mat. Sci. 51 2006 427 556 (Pubitemid 43204494)
    • (2006) Progress in Materials Science , vol.51 , Issue.4 , pp. 427-556
    • Meyers, M.A.1    Mishra, A.2    Benson, D.J.3
  • 28
    • 0024129780 scopus 로고
    • Statistical considerations on uniform grains size
    • C. Núñez, and S. Domingo Statistical considerations on uniform grains size Metal Trans. A 19A 1988 2937 2944
    • (1988) Metal Trans. A , vol.19 A , pp. 2937-2944
    • Núñez, C.1    Domingo, S.2
  • 29
    • 50449140340 scopus 로고
    • Some geometrical relations in dislocated crystals
    • J.F. Nye Some geometrical relations in dislocated crystals Acta Metall. 1 1953 153 162
    • (1953) Acta Metall. , vol.1 , pp. 153-162
    • Nye, J.F.1
  • 30
    • 34347396143 scopus 로고    scopus 로고
    • Higher-order stress and grain size effects due to self-energy of geometrically necessary dislocations
    • DOI 10.1016/j.jmps.2007.02.007, PII S0022509607000361
    • N. Ohno, and D. Okumura Higher-order stress and grain size effects due to self-energy of geometrically necessary dislocations J. Mech. Phys. Sol. 55 2007 1879 1898 (Pubitemid 47021160)
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , Issue.9 , pp. 1879-1898
    • Ohno, N.1    Okumura, D.2
  • 31
    • 0015342927 scopus 로고
    • Grain size distribution in recrystallized alpha-titanium
    • K. Okazaki, and H. Conrad Grain size distribution in recrystallized alpha-titanium Trans. Jap Inst. Met. 13 1972 198 204
    • (1972) Trans. Jap Inst. Met. , vol.13 , pp. 198-204
    • Okazaki, K.1    Conrad, H.2
  • 32
    • 84860663928 scopus 로고    scopus 로고
    • Interface controlled plastic flow modelled by strain gradient plasticity theory
    • T. Pardoen, and T.J. Massart Interface controlled plastic flow modelled by strain gradient plasticity theory C. R. Mecanique 340 2012 247 260
    • (2012) C. R. Mecanique , vol.340 , pp. 247-260
    • Pardoen, T.1    Massart, T.J.2
  • 33
    • 0002228943 scopus 로고
    • The cleavage strength of polycrystals
    • N.J. Petch The cleavage strength of polycrystals J. Iron Steel Inst. 174 1953 25 28
    • (1953) J. Iron Steel Inst. , vol.174 , pp. 25-28
    • Petch, N.J.1
  • 34
    • 34248550569 scopus 로고    scopus 로고
    • Grain-size distribution effects in plastic flow and failure
    • DOI 10.1016/j.msea.2006.08.116, PII S0921509306025664, TMS 2006, Mukherjee Symposium
    • M.P. Phaniraj, M.J.N.V. Prasad, and A.H. Chokshi Grain-size distribution effects in plastic flow and failure Mater. Sci. Eng. A 463 2007 231 237 (Pubitemid 46760271)
    • (2007) Materials Science and Engineering A , vol.463 , Issue.1-2 , pp. 231-237
    • Phaniraj, M.P.1    Prasad, M.J.N.V.2    Chokshi, A.H.3
  • 35
  • 36
    • 9544234466 scopus 로고    scopus 로고
    • Influence of boundary characters on the tensile behavior of sub-micron-grained aluminum
    • P.L. Sun, C.Y. Yu, P.W. Kao, and C.P. Chang Influence of boundary characters on the tensile behavior of sub-micron-grained aluminum Scripta Mat. 52 2005 265 269
    • (2005) Scripta Mat. , vol.52 , pp. 265-269
    • Sun, P.L.1    Yu, C.Y.2    Kao, P.W.3    Chang, C.P.4
  • 38
    • 0031078921 scopus 로고    scopus 로고
    • The intercept method - 1. Evaluation of grain shape
    • PII S1359645496001978
    • A. Thorvaldsen The intercept method - 1. evaluation of grain shape Acta Mater. 45 1997 587 594 (Pubitemid 127415427)
    • (1997) Acta Materialia , vol.45 , Issue.2 , pp. 587-594
    • Thorvaldsen, A.1
  • 39
    • 4544360336 scopus 로고    scopus 로고
    • Grain-boundary sliding and separation in polycrystalline metals: Application to nanocrystalline fcc metals
    • Y.J. Wei, and L. Anand Grain-boundary sliding and separation in polycrystalline metals: application to nanocrystalline fcc metals J. Mech. Phys. Sol. 52 2004 2587 2616
    • (2004) J. Mech. Phys. Sol. , vol.52 , pp. 2587-2616
    • Wei, Y.J.1    Anand, L.2
  • 41
    • 33745226970 scopus 로고    scopus 로고
    • Effects of grain size distribution on the mechanical response of nanocrystalline metals: Part II
    • DOI 10.1016/j.actamat.2006.03.022, PII S1359645406002163
    • B. Zhu, R.J. Asaro, P. Krysl, K. Zhang, and J.R. Weertman Effects of grain size distribution on the mechanical response of nanocrystalline metals: part II Acta Mater. 54 2006 3307 3320 (Pubitemid 43928794)
    • (2006) Acta Materialia , vol.54 , Issue.12 , pp. 3307-3320
    • Zhu, B.1    Asaro, R.J.2    Krysl, P.3    Zhang, K.4    Weertman, J.R.5


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