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Volumn 124, Issue 3, 2002, Pages 380-387

A nonlocal phenomenological anisotropic finite deformation plasticity model accounting for dislocation defects

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CRYSTAL DEFECTS; DEFORMATION; DISLOCATIONS (CRYSTALS); FAILURE ANALYSIS; MATHEMATICAL MODELS; THERMODYNAMICS;

EID: 0012981783     PISSN: 00944289     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1480410     Document Type: Article
Times cited : (53)

References (55)
  • 1
    • 0347987821 scopus 로고    scopus 로고
    • Plasticity at the micron scale
    • Hutchinson, J. W., 2000, "Plasticity at the Micron Scale," Int. J. Solids Struct., 37, pp. 225-238.
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 225-238
    • Hutchinson, J.W.1
  • 2
    • 0033116599 scopus 로고    scopus 로고
    • Gradient deformation models at nano, micro, and macro scales
    • Aifantis, E. C., 1999, "Gradient Deformation Models at Nano, Micro, and Macro Scales," ASME J. Eng. Mater. Technol., 121, pp. 189-202.
    • (1999) ASME J. Eng. Mater. Technol. , vol.121 , pp. 189-202
    • Aifantis, E.C.1
  • 3
    • 0023272944 scopus 로고
    • Henri Tresca as the originator of adiabatic heat lines
    • Johnson, W., 1987, "Henri Tresca as the Originator of Adiabatic Heat Lines," Int. J. Mech. Sci., 29, pp. 301-310
    • (1987) Int. J. Mech. Sci. , vol.29 , pp. 301-310
    • Johnson, W.1
  • 6
    • 0032158229 scopus 로고    scopus 로고
    • A microbend test method for measuring the plasticity length scale
    • Stolken, J. S., and Evans, A. G. 1998, "A Microbend Test Method for Measuring the Plasticity Length Scale," Acta Mater., 46, pp. 5109-5115.
    • (1998) Acta Mater. , vol.46 , pp. 5109-5115
    • Stolken, J.S.1    Evans, A.G.2
  • 7
    • 0035879740 scopus 로고    scopus 로고
    • A model of crystal plasticity containing a natural length scale
    • Bammann, D. J., 2001, "A Model of Crystal Plasticity Containing a Natural Length Scale," Mater. Sci. Eng., A309-310, pp. 406-410.
    • (2001) Mater. Sci. Eng. , vol.A309-310 , pp. 406-410
    • Bammann, D.J.1
  • 8
    • 0030819332 scopus 로고    scopus 로고
    • Scaling of microstructural parameters: Misorientations of deformation induced boundaries
    • Hughes, D. A., Liu, Q., Chrzan, D. C., and Hansen, N., 1997, "Scaling of Microstructural Parameters: Misorientations of Deformation Induced Boundaries," Acta Mater., 45, pp. 105-112.
    • (1997) Acta Mater. , vol.45 , pp. 105-112
    • Hughes, D.A.1    Liu, Q.2    Chrzan, D.C.3    Hansen, N.4
  • 9
    • 0014731854 scopus 로고
    • The deformation of plastically non-homogeneous materials
    • Ashby, M. F., 1970, "The Deformation of Plastically Non-Homogeneous Materials," Philos. Mag., 21, pp. 399-424.
    • (1970) Philos. Mag. , vol.21 , pp. 399-424
    • Ashby, M.F.1
  • 11
    • 34250962104 scopus 로고
    • Allgemeine kontinuumstheorie der versetzungen and eigenspannungen
    • Kroner, E., 1960, "Allgemeine Kontinuumstheorie der Versetzungen and Eigenspannungen," Arch. Ration. Mech. Anal., 4, pp 273-334.
    • (1960) Arch. Ration. Mech. Anal. , vol.4 , pp. 273-334
    • Kroner, E.1
  • 12
    • 0000522553 scopus 로고    scopus 로고
    • Views on multiplicative elastoplasticity and the continuum theory of dislocations
    • Steinmann, P., 1996, "Views on Multiplicative Elastoplasticity and the Continuum Theory of Dislocations," Int. J. Eng. Sci., 34, pp. 1717-1735.
    • (1996) Int. J. Eng. Sci. , vol.34 , pp. 1717-1735
    • Steinmann, P.1
  • 14
    • 0035400701 scopus 로고    scopus 로고
    • On the characterization of geometrically necessary dislocations in finite plasticity
    • Cermelli, P., and Gurtin, M. E., 2001, "On the Characterization of Geometrically Necessary Dislocations in Finite Plasticity," J. Mech. Phys. Solids. 49, pp. 1539-1568.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1539-1568
    • Cermelli, P.1    Gurtin, M.E.2
  • 15
    • 0000410614 scopus 로고
    • Continuous distributions of dislocations: A new application of the methods of non-riemannian geometry
    • Bilby, B. A., Bullough, R., and Smith, E., 1955, "Continuous Distributions of Dislocations: A New Application of the Methods of Non-Riemannian Geometry," Proc. R. Soc. London, Ser. A, 231, pp. 263-273.
    • (1955) Proc. R. Soc. London, Ser. A , vol.231 , pp. 263-273
    • Bilby, B.A.1    Bullough, R.2    Smith, E.3
  • 16
    • 0008528978 scopus 로고
    • Finite-strain elastic-plastic theory with application to plane-wave analysis
    • Lee, E. H., and Liu, D. T., 1967, "Finite-Strain Elastic-Plastic Theory with Application to Plane-Wave Analysis," J. Appl. Phys., 38, pp. 19-27.
    • (1967) J. Appl. Phys. , vol.38 , pp. 19-27
    • Lee, E.H.1    Liu, D.T.2
  • 17
    • 85024545548 scopus 로고
    • Elastic-plastic deformation at finite strains
    • Lee, F., H., 1969, "Elastic-Plastic Deformation at Finite Strains," ASME J. Appl. Mech., 36, pp. 1-6.
    • (1969) ASME J. Appl. Mech. , vol.36 , pp. 1-6
    • Lee, F.H.1
  • 18
    • 0002326326 scopus 로고
    • Thermodynamics and plasticity
    • J. J. Delgado et al., eds., Macmillan, New York
    • Mandel, J., 1974, "Thermodynamics and Plasticity," Foundation of Continuum Thermodynamics, J. J. Delgado et al., eds., Macmillan, New York, pp. 283-304.
    • (1974) Foundation of Continuum Thermodynamics , pp. 283-304
    • Mandel, J.1
  • 19
    • 0017216904 scopus 로고
    • A finite theory of the elastovisoplasticity of single crystals
    • Teodosiu, C., and Sidoroff, F., 1976, "A Finite Theory of the Elastovisoplasticity of Single Crystals," Int. J. Eng. Sci., 14, pp. 713-723
    • (1976) Int. J. Eng. Sci. , vol.14 , pp. 713-723
    • Teodosiu, C.1    Sidoroff, F.2
  • 20
    • 0022076781 scopus 로고
    • A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
    • Simo, J. C., and Ortiz, M., 1985, "A Unified Approach to Finite Deformation Elastoplastic Analysis Based on the Use of Hyperelastic Constitutive Equations," Comput. Methods Appl. Mech Eng., 49, pp. 221-245.
    • (1985) Comput. Methods Appl. Mech Eng. , vol.49 , pp. 221-245
    • Simo, J.C.1    Ortiz, M.2
  • 21
    • 0001364978 scopus 로고
    • Constitutive equations for elastoplastic bodies at finite strain: Thermodynamic implementation
    • Le. K.-Ch., and Stumpf, H. 1993, "Constitutive Equations for Elastoplastic Bodies at Finite Strain: Thermodynamic Implementation," Acta Mech., 100, pp. 155-170.
    • (1993) Acta Mech. , vol.100 , pp. 155-170
    • Le, K.-Ch.1    Stumpf, H.2
  • 23
    • 70350313479 scopus 로고    scopus 로고
    • Numerical analysis and simulation of plasticity
    • P. G. Ciarlet, J. L. Lions, eds", Elsevier Science
    • Simo, J. C., 1998, "Numerical Analysis and Simulation of Plasticity," Handbook of Numerical Analysis, Vol. VI, P. G. Ciarlet, J. L. Lions, eds", Elsevier Science.
    • (1998) Handbook of Numerical Analysis , vol.6
    • Simo, J.C.1
  • 25
    • 50449140340 scopus 로고
    • Some geometrical relations in dislocated crystals
    • Nye, J. F., 1953, "Some Geometrical Relations in Dislocated Crystals," Acta Metall., 1, pp. 153-162
    • (1953) Acta Metall. , vol.1 , pp. 153-162
    • Nye, J.F.1
  • 26
    • 0027841038 scopus 로고
    • A phenomenological theory for strain gradient effects in plasticity
    • Fleck, N. A., and Hutchinson, J. W., 1993, "A Phenomenological Theory for Strain Gradient Effects in Plasticity," J. Mech. Phys. Solids, 41, pp. 1825-57.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1825-1857
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 27
    • 0001456390 scopus 로고
    • A dynamical theory of structural solids. I basic developments
    • Naghdi, P. M., and Srinivasa, A. R., 1993, "A Dynamical Theory of Structural Solids. I Basic Developments," Philos. Trans. R. Soc. London, Ser. A, 345, pp. 425-458.
    • (1993) Philos. Trans. R. Soc. London, Ser. A , vol.345 , pp. 425-458
    • Naghdi, P.M.1    Srinivasa, A.R.2
  • 28
    • 77956668935 scopus 로고    scopus 로고
    • Strain gradient plasticity
    • Fleck, N. A., and Hutchinson, J. W., 1997, "Strain Gradient Plasticity," Adv. Appl. Mech., 33, pp. 295-361.
    • (1997) Adv. Appl. Mech. , vol.33 , pp. 295-361
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 29
    • 0001275882 scopus 로고    scopus 로고
    • A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I. Fundamentals
    • Shizawa, K., and Zbib, H. M., 1999, "A Thermodynamical Theory of Gradient Elastoplasticity with Dislocation Density Tensor. I. Fundamentals," Int. J. Plast., 15, pp. 899-938.
    • (1999) Int. J. Plast. , vol.15 , pp. 899-938
    • Shizawa, K.1    Zbib, H.M.2
  • 30
    • 0033553060 scopus 로고    scopus 로고
    • Mechanism-based strain gradient plasticity. I. Theory
    • Gao, H., Huang, Y., Nix, W. D., and Hutchinson, J. W., 1999, "Mechanism-Based Strain Gradient Plasticity. I. Theory," J. Mech. Phys. Solids, 47, pp. 1239-63.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 1239-1263
    • Gao, H.1    Huang, Y.2    Nix, W.D.3    Hutchinson, J.W.4
  • 31
    • 0033737940 scopus 로고    scopus 로고
    • Lattice incompatibility and a gradient theory of crystal plasticity
    • Acharya, A., and Bassam, J. L., 2000, "Lattice Incompatibility and a Gradient Theory of Crystal Plasticity," J. Mech. Phys. Solids, 48, pp. 1565-95.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1565-1595
    • Acharya, A.1    Bassam, J.L.2
  • 32
    • 0347450507 scopus 로고    scopus 로고
    • Mechanism-based strain gradient plasticity. II. Analysis
    • Huang, Y., Gao, H., Nix, W. D., and Hutchinson, J. W., 2000, "Mechanism-Based Strain Gradient Plasticity. II. Analysis," J. Mech. Phys. Solids, 48, pp. 99-128.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 99-128
    • Huang, Y.1    Gao, H.2    Nix, W.D.3    Hutchinson, J.W.4
  • 33
    • 0034256154 scopus 로고    scopus 로고
    • A study of micro-indentation hardness tests by mechanism-based strain gradient plasticity
    • Huang, Y. Xue, Z., Gao, H., Nix, W. D., and Xia, Z. C., "A Study of Micro-indentation Hardness Tests by Mechanism-Based Strain Gradient Plasticity," J. Mater. Res., 15, pp. 1786-96.
    • J. Mater. Res. , vol.15 , pp. 1786-1796
    • Huang, Y.1    Xue, Z.2    Gao, H.3    Nix, W.D.4    Xia, Z.C.5
  • 34
    • 0035879791 scopus 로고    scopus 로고
    • A model for rate-dependent flow of metal polycrystals based on the slip plane lattice incompatibility
    • Beaudoin, A. J., and Acharya, A., 2001, "A Model for Rate-Dependent Flow of Metal Polycrystals Based on the Slip Plane Lattice Incompatibility," Mater. Sci. Eng., A, A309-A310, pp. 411-15.
    • (2001) Mater. Sci. Eng., A , vol.A309-A310 , pp. 411-415
    • Beaudoin, A.J.1    Acharya, A.2
  • 36
    • 0031995452 scopus 로고    scopus 로고
    • On plastic deformation and the dynamics of 3D dislocations
    • Zbib, R. M., Rhee, M., and Hirth, J. P., 1998, "On Plastic Deformation and the Dynamics of 3D Dislocations," Int. J. Mech. Sci. 40, pp. 113-127.
    • (1998) Int. J. Mech. Sci. , vol.40 , pp. 113-127
    • Zbib, R.M.1    Rhee, M.2    Hirth, J.P.3
  • 37
    • 0035879810 scopus 로고    scopus 로고
    • Internal structures of deformation induced planar dislocation boundaries
    • Hughes, D. A., Khan, S. M. A., Godfrey, A., and Zbib, H. M., 2001, "Internal Structures of Deformation Induced Planar Dislocation Boundaries," Mater. Sci. Eng., A, A309-A310, pp. 220-226.
    • (2001) Mater. Sci. Eng., A , vol.A309-A310 , pp. 220-226
    • Hughes, D.A.1    Khan, S.M.A.2    Godfrey, A.3    Zbib, H.M.4
  • 38
    • 0035879839 scopus 로고    scopus 로고
    • Size and boundary effects in discrete dislocation dynamics: Coupling with continuum finite element
    • Yasin, H., Zbib, H. M., and Khaleel, M. A., 2001, "Size and Boundary Effects in Discrete Dislocation Dynamics: Coupling with Continuum Finite Element," Mater Sci. Eng., A, A309-A310, pp. 294-299.
    • (2001) Mater Sci. Eng., A , vol.A309-A310 , pp. 294-299
    • Yasin, H.1    Zbib, H.M.2    Khaleel, M.A.3
  • 39
    • 0029289877 scopus 로고
    • Size-dependent hardness of silver single-crystals
    • Ma, Q., and Clarke, D. R., 1995, "Size-Dependent Hardness of Silver Single-Crystals," J. Mater. Res., 10, pp. 853-863.
    • (1995) J. Mater. Res. , vol.10 , pp. 853-863
    • Ma, Q.1    Clarke, D.R.2
  • 40
    • 0041760448 scopus 로고    scopus 로고
    • Elastic and plastic properties of thin films on substrates: Nanoindentation techniques
    • Nix, W. D., 1997, "Elastic and Plastic Properties of Thin Films on Substrates: Nanoindentation Techniques," Mater. Sci. Eng., A, 234, pp. 37-44.
    • (1997) Mater. Sci. Eng., A , vol.234 , pp. 37-44
    • Nix, W.D.1
  • 42
    • 0242717850 scopus 로고    scopus 로고
    • Determination of indenter tip geometry and indentation cantact area for depth-sensing indentation experiments
    • McElhaney, K. W., Vlassak, J. J., and Nix, W. D., 1998, "Determination of Indenter Tip Geometry and Indentation Cantact Area for Depth-Sensing Indentation Experiments," J. Mater. Res., 13, pp. 1300-1306.
    • (1998) J. Mater. Res. , vol.13 , pp. 1300-1306
    • McElhaney, K.W.1    Vlassak, J.J.2    Nix, W.D.3
  • 43
    • 34250963757 scopus 로고
    • The thermodynamics of elastic materials with heat conduction and viscosity
    • Coleman, B. D., and Noll, W., 1963, "The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity," Arch. Ration. Mech. Anal., 13, pp. 167-178.
    • (1963) Arch. Ration. Mech. Anal. , vol.13 , pp. 167-178
    • Coleman, B.D.1    Noll, W.2
  • 44
    • 36849104050 scopus 로고
    • Thermodynamics with internal state variables
    • Coleman, B. D., and Gurtin, M. E., 1967, "Thermodynamics with Internal State Variables," J. Chem. Phys., 47, pp. 597-613.
    • (1967) J. Chem. Phys. , vol.47 , pp. 597-613
    • Coleman, B.D.1    Gurtin, M.E.2
  • 46
    • 0002635510 scopus 로고
    • A micromorphic approach to dislocation theory and its relation to several existing theories
    • Simmons, J. A., de Wit, R., Bullough, R., eds.
    • Eringen, A. C., and Claus, W. D., 1970, "A Micromorphic Approach to Dislocation Theory and its Relation to Several Existing Theories," Fundamental Aspects of Disclocation Theory, Simmons, J. A., de Wit, R., Bullough, R., eds., pp. 1023-1040.
    • (1970) Fundamental Aspects of Disclocation Theory , pp. 1023-1040
    • Eringen, A.C.1    Claus, W.D.2
  • 47
    • 0001487747 scopus 로고
    • The mechanism of plastic deformation of crystals. Part 1. Theoretical
    • Taylor, G. I., 1934, "The Mechanism of Plastic Deformation of Crystals. Part 1. Theoretical," Proc. R. Soc. London. Ser. A, A145, pp. 362-387.
    • (1934) Proc. R. Soc. London. Ser. A , vol.A145 , pp. 362-387
    • Taylor, G.I.1
  • 48
    • 0001102403 scopus 로고
    • A mechanism for static and dynamic recovery
    • Haasen, P., Gerold, V., Kostorz, G., eds., Pergamon Press
    • Kocks, U. F., and Mecking, H., 1979, "A Mechanism for Static and Dynamic Recovery," Strength of Metals and Alloys. Haasen, P., Gerold, V., Kostorz, G., eds., Pergamon Press, pp. 345-350.
    • (1979) Strength of Metals and Alloys , pp. 345-350
    • Kocks, U.F.1    Mecking, H.2
  • 49
    • 0021121434 scopus 로고
    • A unified phenomenological description of work hardening and creep based on one-parameter models
    • Estrin, Y., and Mecking, H., 1984, "A Unified Phenomenological Description of Work Hardening and Creep Based on One-Parameter Models," Acta Metall., 32, pp. 57-70.
    • (1984) Acta Metall. , vol.32 , pp. 57-70
    • Estrin, Y.1    Mecking, H.2
  • 50
    • 0029324340 scopus 로고
    • Recovery revisited
    • Nes, E., 1995, "Recovery Revisited," Acta Metall. Mater., 43, pp. 2189-2207.
    • (1995) Acta Metall. Mater. , vol.43 , pp. 2189-2207
    • Nes, E.1
  • 52
    • 0027647297 scopus 로고
    • An analysis of texture and plastic spin for planar polycrystals
    • Ptantil, V. C., Jenkins, J. T., and Dawson, P. R. 1993, "An Analysis of Texture and Plastic Spin for Planar Polycrystals," J. Mech. Phys. Solids, 41, pp. 1357-1382.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1357-1382
    • Ptantil, V.C.1    Jenkins, J.T.2    Dawson, P.R.3
  • 55
    • 84975802282 scopus 로고
    • Modeling the temperature and strain rate dependent large deformation of metals
    • Bammann, D. J., 1990, "Modeling the Temperature and Strain Rate Dependent Large Deformation of Metals," Appl. Mech. Rev., 43, pp S312-S319.
    • (1990) Appl. Mech. Rev. , vol.43
    • Bammann, D.J.1


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