메뉴 건너뛰기




Volumn 59, Issue 2, 2011, Pages 320-343

A gradient theory of small-deformation, single-crystal plasticity that accounts for GND-induced interactions between slip systems

Author keywords

Crystal plasticity; Dislocation densities; Forest dislocations; Geometrically necessary dislocations; Gradient theory

Indexed keywords

BOUNDARY CONDITIONS; EDGE DISLOCATIONS; FORESTRY; PLASTICITY; SCREW DISLOCATIONS;

EID: 78651337548     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2010.10.005     Document Type: Article
Times cited : (38)

References (37)
  • 1
    • 0037211163 scopus 로고    scopus 로고
    • Geometrically necessary dislocations, hardening, and a simple theory of crystal plasticity
    • A. Acharya, J.L. Bassani, and A. Beaudoin Geometrically necessary dislocations, hardening, and a simple theory of crystal plasticity Scripta Materialia 48 2003 167 172
    • (2003) Scripta Materialia , vol.48 , pp. 167-172
    • Acharya, A.1    Bassani, J.L.2    Beaudoin, A.3
  • 2
    • 0020895305 scopus 로고
    • Micromechanics of crystals and polycrystals
    • R.J. Asaro Micromechanics of crystals and polycrystals Advances in Applied Mechanics 23 1983 1 115
    • (1983) Advances in Applied Mechanics , vol.23 , pp. 1-115
    • Asaro, R.J.1
  • 3
    • 0014731854 scopus 로고
    • The deformation of plastically non-homogeneous alloys
    • M.F. Ashby The deformation of plastically non-homogeneous alloys Philosophical Magazine 22 1970 399 424
    • (1970) Philosophical Magazine , vol.22 , pp. 399-424
    • Ashby, M.F.1
  • 4
    • 0032675618 scopus 로고    scopus 로고
    • Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density
    • A.P. 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.P.1    Parks, D.M.2
  • 6
  • 7
    • 0001344764 scopus 로고
    • Some considerations of the field of stress connected with dislocations in a regular crystal lattice
    • J.M. Burgers Some considerations of the field of stress connected with dislocations in a regular crystal lattice Koninklijke Nederlandse Akademie van Wetenschappen 42 1939 293 325 (Part 1), 378399 (Part 2)
    • (1939) Koninklijke Nederlandse Akademie Van Wetenschappen , vol.42 , pp. 293-325
    • Burgers, J.M.1
  • 8
    • 0003871524 scopus 로고    scopus 로고
    • On the characterization of geometrically necessary dislocations in finite plasticity
    • Department of Mathematical Sciences, Carnegie Mellon University
    • Cermelli P., Gurtin, M.E., 2000. On the characterization of geometrically necessary dislocations in finite plasticity. Research Report 00-CNA-005, Center for Nonlinear Analysis, Department of Mathematical Sciences, Carnegie Mellon University.
    • (2000) Research Report 00-CNA-005, Center for Nonlinear Analysis
    • Cermelli, P.1    Gurtin, M.E.2
  • 9
    • 0035400701 scopus 로고    scopus 로고
    • On the characterization of geometrically necessary dislocations in finite plasticity
    • P. Cermelli, and M.E. Gurtin On the characterization of geometrically necessary dislocations in finite plasticity Journal of the Mechanics and Physics of Solids 49 2001 1539 1568
    • (2001) Journal of the Mechanics and Physics of Solids , vol.49 , pp. 1539-1568
    • Cermelli, P.1    Gurtin, M.E.2
  • 15
    • 0343337643 scopus 로고    scopus 로고
    • On the plasticity of single crystal: Free energy, microforces, plastic strain gradients
    • M.E. Gurtin On the plasticity of single crystal: 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
  • 16
    • 0036131798 scopus 로고    scopus 로고
    • A gradient theory of single-crystal plasticity that accounts for geometrically necessary dislocations
    • M.E. Gurtin A gradient theory of single-crystal plasticity 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
  • 17
    • 33745163203 scopus 로고    scopus 로고
    • The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity
    • M.E. Gurtin The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity Journal of the Mechanics and Physics of Solids 54 2006 1882 1898
    • (2006) Journal of the Mechanics and Physics of Solids , vol.54 , pp. 1882-1898
    • Gurtin, M.E.1
  • 18
    • 38149011466 scopus 로고    scopus 로고
    • A finite gradient theory of single crystal plasticity with free energy dependent on desities of geometrically necessary disclocations
    • M.E. Gurtin A finite gradient theory of single crystal plasticity with free energy dependent on desities of geometrically necessary disclocations International Journal of Plasticity 24 2008 702 725
    • (2008) International Journal of Plasticity , vol.24 , pp. 702-725
    • Gurtin, M.E.1
  • 19
    • 77955518287 scopus 로고    scopus 로고
    • A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocations
    • M.E. Gurtin A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocations Internal Journal of Plasticity 26 2010 1073 1096
    • (2010) Internal Journal of Plasticity , vol.26 , pp. 1073-1096
    • Gurtin, M.E.1
  • 20
    • 34347369301 scopus 로고    scopus 로고
    • Gradient single-crystal plasticity with free energy dependent on dislocation densities
    • M.E. Gurtin, L. Anand, and S.P. Lele Gradient single-crystal plasticity with free energy dependent on dislocation densities Journal of the Mechanics and Physics of Solids 55 2007 1853 1878
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , pp. 1853-1878
    • Gurtin, M.E.1    Anand, L.2    Lele, S.P.3
  • 21
    • 70350571120 scopus 로고    scopus 로고
    • Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities
    • M.E. Gurtin, and B.D. Reddy Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities Continuum Mechanics and Thermodynamics 21 2009 237 250
    • (2009) Continuum Mechanics and Thermodynamics , vol.21 , pp. 237-250
    • Gurtin, M.E.1    Reddy, B.D.2
  • 23
    • 0014867680 scopus 로고
    • Elasticplastic behavior of polycrystalline metals and composites
    • J.W. Hutchinson Elasticplastic behavior of polycrystalline metals and composites Proceedings of the Royal Society of London A 319 1970 247 272
    • (1970) Proceedings of the Royal Society of London A , vol.319 , pp. 247-272
    • Hutchinson, J.W.1
  • 24
    • 0024701870 scopus 로고
    • Theory of plastic deformation: Properties of low energy dislocation structures
    • D. Kuhlmann-Wilsdorf Theory of plastic deformation: properties of low energy dislocation structures Materials Science and Engineering 113A 1989 1 41
    • (1989) Materials Science and Engineering , vol.113 , pp. 1-41
    • Kuhlmann-Wilsdorf, D.1
  • 25
    • 40849121060 scopus 로고    scopus 로고
    • On the formulations of higher-order strain gradient crystal plasticity models
    • M. Kuroda, and V. Tvergaard On the formulations of higher-order strain gradient crystal plasticity models Journal of the Mechanics and Physics of Solids 56 2008 1591 1608
    • (2008) Journal of the Mechanics and Physics of Solids , vol.56 , pp. 1591-1608
    • Kuroda, M.1    Tvergaard, V.2
  • 27
    • 34250962104 scopus 로고
    • Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
    • E. Krner Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen Archive for Rational Mechanics and Analysis 4 1960 273 334
    • (1960) Archive for Rational Mechanics and Analysis , vol.4 , pp. 273-334
    • Krner, E.1
  • 28
    • 53449098812 scopus 로고    scopus 로고
    • Study of size effects in thin films by means of a crystal plasticity theory based on DiFT
    • K. Limkumnerd, and E. Van der Giessen Study of size effects in thin films by means of a crystal plasticity theory based on DiFT Journal of the Mechanics and Physics of Solids 56 2008 3304 3314
    • (2008) Journal of the Mechanics and Physics of Solids , vol.56 , pp. 3304-3314
    • Limkumnerd, K.1    Van Der Giessen, E.2
  • 29
    • 50449140340 scopus 로고
    • Some geometrical relations in dislocated solids
    • J.F. Nye Some geometrical relations in dislocated solids Acta Metallurgica 1 1953 153 162
    • (1953) Acta Metallurgica , vol.1 , pp. 153-162
    • Nye, J.F.1
  • 30
    • 0031077739 scopus 로고    scopus 로고
    • Finite element analysis of plastic slip and evolution of geometrically necessary dislocations in FCC crystals
    • T. Ohashi Finite element analysis of plastic slip and evolution of geometrically necessary dislocations in FCC crystals Philosophical Magazine Letters 75 1997 51 57
    • (1997) Philosophical Magazine Letters , vol.75 , pp. 51-57
    • Ohashi, T.1
  • 31
    • 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 Journal of the Mechanics and Physics of Solids 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
  • 32
    • 62249181507 scopus 로고    scopus 로고
    • Grain-size dependent yield behavior under loading, unloading, and reverse loading
    • N. Ohno, D. Okumura, and T. Shibata Grain-size dependent yield behavior under loading, unloading, and reverse loading International Journal of Modern Physics B 22 2008 5937 5942
    • (2008) International Journal of Modern Physics B , vol.22 , pp. 5937-5942
    • Ohno, N.1    Okumura, D.2    Shibata, T.3
  • 33
    • 0020876453 scopus 로고
    • Material rate dependence and localized deformation in crystalline solids
    • D. Peirce, R.D. Asaro, and A. Needleman Material rate dependence and localized deformation in crystalline solids Acta Metallurgica 31 1983 1951 1976
    • (1983) Acta Metallurgica , vol.31 , pp. 1951-1976
    • Peirce, D.1    Asaro, R.D.2    Needleman, A.3
  • 37
    • 0346308519 scopus 로고    scopus 로고
    • A comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity simulations
    • S. Yefimov, I. Groma, and E. Van der Giessen A comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity simulations Journal of the Mechanics and Physics of Solids 52 2004 279 300
    • (2004) Journal of the Mechanics and Physics of Solids , vol.52 , pp. 279-300
    • Yefimov, S.1    Groma, I.2    Van Der Giessen, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.