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Volumn 461, Issue 2058, 2005, Pages 1775-1809

A planar plastic flow theory of orthotropic sheet metals and the experimental procedure for its evaluations

Author keywords

Equal biaxial tension; Isotropic hardening; Plastic flow potential; Plastic spin; Uniaxial tension

Indexed keywords


EID: 22244454739     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2004.1409     Document Type: Article
Times cited : (6)

References (64)
  • 1
    • 0025792572 scopus 로고
    • On the geometry of slip and spin in finite plastic deformation
    • Aravas, E. C. & Aifantis, E. C. 1991 On the geometry of slip and spin in finite plastic deformation. Int. J. Plasticity 7, 141-160.
    • (1991) Int. J. Plasticity , vol.7 , pp. 141-160
    • Aravas, E.C.1    Aifantis, E.C.2
  • 2
    • 0020895305 scopus 로고
    • Micromechanics of crystals and polycrystals
    • Asaro, R. J. 1983 Micromechanics of crystals and polycrystals. Adv. Mech. 23, 1.
    • (1983) Adv. Mech. , vol.23 , pp. 1
    • Asaro, R.J.1
  • 3
    • 0024775634 scopus 로고
    • Plastic behavior and stretchability of sheet metals. Part I. A yield function for orthotropic sheets under plane stress conditions
    • Barlat, F. & Lian, J. 1989 Plastic behavior and stretchability of sheet metals. Part I. A yield function for orthotropic sheets under plane stress conditions. Int. J. Plasticity 5, 51-56.
    • (1989) Int. J. Plasticity , vol.5 , pp. 51-56
    • Barlat, F.1    Lian, J.2
  • 4
    • 0026366921 scopus 로고
    • A six-component yield function for anisotropic materials
    • Barlat, F., Lege, D. J. & Brem, J. C. 1991 A six-component yield function for anisotropic materials. Int. J. Plasticity 7, 693-712.
    • (1991) Int. J. Plasticity , vol.7 , pp. 693-712
    • Barlat, F.1    Lege, D.J.2    Brem, J.C.3
  • 5
    • 0030682628 scopus 로고    scopus 로고
    • Yield description for solution strengthened aluminum alloys
    • Barlat, F. et al. 1997a Yield description for solution strengthened aluminum alloys. Int. J. Plasticity 13, 385-401.
    • (1997) Int. J. Plasticity , vol.13 , pp. 385-401
    • Barlat, F.1
  • 6
    • 0031277050 scopus 로고    scopus 로고
    • Yield function development for aluminum alloy sheets
    • Barlat, F. et al. 1997b Yield function development for aluminum alloy sheets. J. Mech. Phys. Solids 45, 1727-1763.
    • (1997) J. Mech. Phys. Solids , vol.45 , pp. 1727-1763
    • Barlat, F.1
  • 8
    • 0017676210 scopus 로고
    • Yield characterization of metals with transversely isotropic properties
    • Bassani, J. L. 1977 Yield characterization of metals with transversely isotropic properties. Int. J. Mech. Sci. 19, 651-660.
    • (1977) Int. J. Mech. Sci. , vol.19 , pp. 651-660
    • Bassani, J.L.1
  • 9
    • 77956858201 scopus 로고
    • Plastic flow of crystals
    • Bassani, J. L. 1994 Plastic flow of crystals. Adv. Appl. Mech. 30, 191-258.
    • (1994) Adv. Appl. Mech. , vol.30 , pp. 191-258
    • Bassani, J.L.1
  • 11
    • 0002357759 scopus 로고
    • Evolution of anisotropy in sheet-steels subjected to off-axes large deformation
    • ed. O. Bruller, V. Mannl & J. Najar, Berlin: Springer
    • Boehler, J. P. & Koss, S. 1991 Evolution of anisotropy in sheet-steels subjected to off-axes large deformation. In Advances in continuum mechanics (ed. O. Bruller, V. Mannl & J. Najar), pp. 143-158. Berlin: Springer.
    • (1991) Advances in Continuum Mechanics , pp. 143-158
    • Boehler, J.P.1    Koss, S.2
  • 12
    • 0021618893 scopus 로고    scopus 로고
    • Anisotropic plasticity of plane-isotropic sheets
    • (ed. G. J. Dvorak & R. T. Shield). Studies in Applied Mechanics, Amsterdam: Elsevier Science
    • Budiansky, B. Anisotropic plasticity of plane-isotropic sheets. In Mechanics of material behavior (ed. G. J. Dvorak & R. T. Shield). Studies in Applied Mechanics, vol. 6, pp. 15-29. Amsterdam: Elsevier Science.
    • Mechanics of Material Behavior , vol.6 , pp. 15-29
    • Budiansky, B.1
  • 13
    • 0035576780 scopus 로고    scopus 로고
    • Generalization of Drucker's yield criterion to orthotropy
    • Cazacu, O. & Barlat, F. 2001 Generalization of Drucker's yield criterion to orthotropy. Math. Mech. Solids 6, 613-630.
    • (2001) Math. Mech. Solids , vol.6 , pp. 613-630
    • Cazacu, O.1    Barlat, F.2
  • 14
    • 22244481751 scopus 로고
    • Thermodynamics of deformation of solids
    • ed. E. B. Stuart, B. Gal-Or & A. J. Brainard, Baltimore, MA: Mono Book Corp
    • Chu, B. T. 1970 Thermodynamics of deformation of solids. In A critical review of thermodynamics (ed. E. B. Stuart, B. Gal-Or & A. J. Brainard), pp. 299-343. Baltimore, MA: Mono Book Corp.
    • (1970) A Critical Review of Thermodynamics , pp. 299-343
    • Chu, B.T.1
  • 15
    • 0029297004 scopus 로고
    • Anisotropic symmetries of linear elasticity
    • Cowin, S. C. & Mehrabadi, M. M. 1995 Anisotropic symmetries of linear elasticity. Appl. Mech. Rev. 48, 247-285.
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 247-285
    • Cowin, S.C.1    Mehrabadi, M.M.2
  • 16
    • 0020816030 scopus 로고
    • Corotational rates for kinematic hardening at large plastic deformations
    • Dafalias, Y. F. 1983 Corotational rates for kinematic hardening at large plastic deformations. ASME J. Appl. Mech. 50, 561-565.
    • (1983) ASME J. Appl. Mech. , vol.50 , pp. 561-565
    • Dafalias, Y.F.1
  • 17
    • 0021498156 scopus 로고
    • The plastic spin concept and a simple illustration of its role in finite plastic transformations
    • Dafalias, Y. F. 1984 The plastic spin concept and a simple illustration of its role in finite plastic transformations. Mech. Mater. 3, 223-233.
    • (1984) Mech. Mater. , vol.3 , pp. 223-233
    • Dafalias, Y.F.1
  • 18
    • 84998296197 scopus 로고
    • The plastic spin
    • Dafalias, Y. F. 1985 The plastic spin. J. Appl. Mech. 52, 865-871.
    • (1985) J. Appl. Mech. , vol.52 , pp. 865-871
    • Dafalias, Y.F.1
  • 19
    • 0032291386 scopus 로고    scopus 로고
    • Plastic spin: Necessity or redundancy?
    • Dafalias, Y. F. 1998 Plastic spin: necessity or redundancy? Int. J. Plasticity 14, 909-931.
    • (1998) Int. J. Plasticity , vol.14 , pp. 909-931
    • Dafalias, Y.F.1
  • 20
    • 0034326095 scopus 로고    scopus 로고
    • Orientational evolution of plastic orthotropy in sheet metals
    • Dafalias, Y. F. 2000 Orientational evolution of plastic orthotropy in sheet metals. J. Mech. Phys. Solids 48, 2231-2255.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 2231-2255
    • Dafalias, Y.F.1
  • 21
    • 0025260213 scopus 로고
    • On the microscopic origin of the plastic spin
    • Dafalias, Y. F. & Aifantis, E. C. 1990 On the microscopic origin of the plastic spin. Acta Mech. 82, 31-48.
    • (1990) Acta Mech. , vol.82 , pp. 31-48
    • Dafalias, Y.F.1    Aifantis, E.C.2
  • 22
    • 0024861789 scopus 로고
    • The effect of plastic spin on anisotropic material behavior
    • Dafalias, Y. F. & Rashid, M. M. 1989 The effect of plastic spin on anisotropic material behavior. Int. J. Plasticity 5, 227-246.
    • (1989) Int. J. Plasticity , vol.5 , pp. 227-246
    • Dafalias, Y.F.1    Rashid, M.M.2
  • 23
    • 0029697656 scopus 로고    scopus 로고
    • A method of generating analytical yield surfaces of polycrystalline materials
    • Darrieulat, M. & Piot, D. 1996 A method of generating analytical yield surfaces of polycrystalline materials. Int. J. Plasticity 12, 575-610.
    • (1996) Int. J. Plasticity , vol.12 , pp. 575-610
    • Darrieulat, M.1    Piot, D.2
  • 24
    • 77956775737 scopus 로고    scopus 로고
    • Computational mechanics for metal deformation process using polycrystal plasticity
    • Dawson, P. & Marin, E. B. 1998 Computational mechanics for metal deformation process using polycrystal plasticity. Adv. Appl. Mech. 34, 77-169.
    • (1998) Adv. Appl. Mech. , vol.34 , pp. 77-169
    • Dawson, P.1    Marin, E.B.2
  • 25
    • 0021121840 scopus 로고
    • On the anomalous behavior of anisotropic sheet metals
    • Dodd, B. & Caddell, R. M. 1984 On the anomalous behavior of anisotropic sheet metals. Int. J. Mech. Sci. 26, 113-118.
    • (1984) Int. J. Mech. Sci. , vol.26 , pp. 113-118
    • Dodd, B.1    Caddell, R.M.2
  • 26
    • 0019577115 scopus 로고
    • A theory of multiaxial anisotropic viscoplasticity
    • Eisenberg, M. A. & Yen, C. F. 1981 A theory of multiaxial anisotropic viscoplasticity. Trans. ASME J. Appl. Mech. 48, 276-284.
    • (1981) Trans. ASME J. Appl. Mech. , vol.48 , pp. 276-284
    • Eisenberg, M.A.1    Yen, C.F.2
  • 27
    • 21844463243 scopus 로고
    • Representation of elastoplastic behavior by means of state variables
    • ed. A. Sawczuk, Leiden: Noordhoff
    • Fardshishen, F. & Onat, E. T. 1974 Representation of elastoplastic behavior by means of state variables. In Problems of plasticity (ed. A. Sawczuk), pp. 89-115. Leiden: Noordhoff.
    • (1974) Problems of Plasticity , pp. 89-115
    • Fardshishen, F.1    Onat, E.T.2
  • 28
    • 0001297082 scopus 로고
    • A theory of the yielding and plastic flow of anisotropic metals
    • Hill, R. 1948 A theory of the yielding and plastic flow of anisotropic metals. Proc. R. Soc. A 193, 281-297.
    • (1948) Proc. R. Soc. A , vol.193 , pp. 281-297
    • Hill, R.1
  • 30
    • 49949139226 scopus 로고
    • The essential structure of constitutive laws for metal composites and polycrystals
    • Hill, R. 1967 The essential structure of constitutive laws for metal composites and polycrystals. J. Mech. Phys. Solids 15, 79.
    • (1967) J. Mech. Phys. Solids , vol.15 , pp. 79
    • Hill, R.1
  • 31
    • 84976114091 scopus 로고
    • Theoretical plasticity of textured aggregates
    • Hill, R. 1979 Theoretical plasticity of textured aggregates. Math. Proc. Camb. Philos. Soc. 85, 179-191.
    • (1979) Math. Proc. Camb. Philos. Soc. , vol.85 , pp. 179-191
    • Hill, R.1
  • 32
    • 0001043848 scopus 로고
    • Constitutive modeling of orthotropic plasticity in sheet metals
    • Hill, R. 1990 Constitutive modeling of orthotropic plasticity in sheet metals. J. Mech. Phys. Solids 38, 405-417.
    • (1990) J. Mech. Phys. Solids , vol.38 , pp. 405-417
    • Hill, R.1
  • 33
    • 0021901151 scopus 로고
    • Comments on anisotropic yield criteria
    • Hosford, W. F. 1985 Comments on anisotropic yield criteria. Int. J. Mech. Sci. 27, 423-427.
    • (1985) Int. J. Mech. Sci. , vol.27 , pp. 423-427
    • Hosford, W.F.1
  • 36
    • 0021156991 scopus 로고
    • A generalized quadratic flow law for sheet metals
    • Jones, S. E. & Gillis, P. P. 1984 A generalized quadratic flow law for sheet metals. Met. Trans. A 15, 129-132.
    • (1984) Met. Trans. A , vol.15 , pp. 129-132
    • Jones, S.E.1    Gillis, P.P.2
  • 37
    • 0027884665 scopus 로고
    • A general anisotropic yield criterion using bounds and a transformation weighting tensor
    • Karafillis, A. P. & Boyce, M. C. 1993 A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids 41, 1859-1886.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1859-1886
    • Karafillis, A.P.1    Boyce, M.C.2
  • 38
    • 0029724062 scopus 로고    scopus 로고
    • An anisotropic elastic-plastic constitutive model for single and polycrystalline metals. I. Theoretical developments
    • Khan, A. S. & Cheng, P. 1996 An anisotropic elastic-plastic constitutive model for single and polycrystalline metals. I. Theoretical developments. Int. J. Plasticity 12, 147-162.
    • (1996) Int. J. Plasticity , vol.12 , pp. 147-162
    • Khan, A.S.1    Cheng, P.2
  • 40
    • 0031139856 scopus 로고    scopus 로고
    • Evolution of anisotropy under plane stress
    • Kim, K. H. & Yin, J. J. 1997 Evolution of anisotropy under plane stress. J. Mech. Phys. Solids 45, 841-851.
    • (1997) J. Mech. Phys. Solids , vol.45 , pp. 841-851
    • Kim, K.H.1    Yin, J.J.2
  • 41
    • 85024545548 scopus 로고
    • Elastic-plastic deformations at finite strains
    • Lee, E. H. 1969 Elastic-plastic deformations at finite strains. J. Appl. Mech. 36, 1-6.
    • (1969) J. Appl. Mech. , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 43
    • 0030291858 scopus 로고    scopus 로고
    • A modified form of Hill's orientation-dependent yield criterion for orthotropic sheet metals
    • Lin, S. B. & Ding, J. L. 1996 A modified form of Hill's orientation-dependent yield criterion for orthotropic sheet metals. J. Mech. Phys. Solids 44, 1739-1764.
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 1739-1764
    • Lin, S.B.1    Ding, J.L.2
  • 44
    • 11344269262 scopus 로고
    • Lode, W. 1926 Z. Phys. 36, 913.
    • (1926) Z. Phys. , vol.36 , pp. 913
    • Lode, W.1
  • 45
    • 0019213092 scopus 로고
    • Upper-bound anisotropic yield locus calculations assuming 〈111〉 pencil glide
    • Logan, R. W. & Hosford, W. F. 1980 Upper-bound anisotropic yield locus calculations assuming 〈111〉 pencil glide. Int. J. Mech. Sci. 22, 419-430.
    • (1980) Int. J. Mech. Sci. , vol.22 , pp. 419-430
    • Logan, R.W.1    Hosford, W.F.2
  • 46
    • 0020940831 scopus 로고
    • On the effects of plastic rotation in the finite deformation of anisotropic elastoplastic materials
    • Loret, B. 1983 On the effects of plastic rotation in the finite deformation of anisotropic elastoplastic materials. Mech. Mater. 2, 287-304.
    • (1983) Mech. Mater. , vol.2 , pp. 287-304
    • Loret, B.1
  • 47
    • 0034479304 scopus 로고    scopus 로고
    • A generally anisotropic hardening model for big offset-strain yield stresses
    • Losilla, G., Boehler, J. P. & Zheng, Q. S. 2000 A generally anisotropic hardening model for big offset-strain yield stresses. Acta Mech. 144, 169-183.
    • (2000) Acta Mech. , vol.144 , pp. 169-183
    • Losilla, G.1    Boehler, J.P.2    Zheng, Q.S.3
  • 49
    • 0002326326 scopus 로고
    • Thermodynamics and plasticity
    • (ed. J. J. Delgado et al.). New York: MacMillan
    • Mandel, J. 1974 Thermodynamics and plasticity. In Foundations of continuum thermodynamics (ed. J. J. Delgado et al.). New York: MacMillan.
    • (1974) Foundations of Continuum Thermodynamics
    • Mandel, J.1
  • 50
    • 0025755004 scopus 로고
    • Development of anisotropy during the cold rolling of aluminum sheet
    • Montheillet, F., Jonas, J. J. & Benferrah, M. 1991 Development of anisotropy during the cold rolling of aluminum sheet. Int. J. Mech. Sci. 33, 197-209.
    • (1991) Int. J. Mech. Sci. , vol.33 , pp. 197-209
    • Montheillet, F.1    Jonas, J.J.2    Benferrah, M.3
  • 51
    • 0021590057 scopus 로고
    • Shear flow of kinematically hardening rigid-plastic materials
    • ed. G. J. Dvorak & R. T. Shield, New York: Elsevier
    • Onat, E. T. 1984 Shear flow of kinematically hardening rigid-plastic materials. In Mechanics of material behavior (ed. G. J. Dvorak & R. T. Shield), pp. 311-324. New York: Elsevier.
    • (1984) Mechanics of Material Behavior , pp. 311-324
    • Onat, E.T.1
  • 52
    • 0025750414 scopus 로고
    • Group theory and representation of microstructure and mechanical behavior of materials
    • ed. T. C. Lowe, A. D. Rollett, P. S. Follansbee & G. S. Daehn, Warrendale, PA: The Minerals, Metals and Materials Society
    • Onat, E. T. 1991 Group theory and representation of microstructure and mechanical behavior of materials. In Modeling the deformation of crystalline solids (ed. T. C. Lowe, A. D. Rollett, P. S. Follansbee & G. S. Daehn), pp. 85-101. Warrendale, PA: The Minerals, Metals and Materials Society.
    • (1991) Modeling the Deformation of Crystalline Solids , pp. 85-101
    • Onat, E.T.1
  • 53
    • 0015481341 scopus 로고
    • An experimental investigation of yield surfaces at elevated temperatures
    • Phillips, A., Liu, C. S. & Justusson, J. W. 1972 An experimental investigation of yield surfaces at elevated temperatures. Acta Mech. 14, 119-146.
    • (1972) Acta Mech. , vol.14 , pp. 119-146
    • Phillips, A.1    Liu, C.S.2    Justusson, J.W.3
  • 54
    • 0014848279 scopus 로고
    • On the structure of stress-strain relations for time-dependent plastic deformation in metals
    • Rice, J. R. 1970 On the structure of stress-strain relations for time-dependent plastic deformation in metals. J. Appl. Mech. 37, 728-737.
    • (1970) J. Appl. Mech. , vol.37 , pp. 728-737
    • Rice, J.R.1
  • 55
    • 0015161025 scopus 로고
    • Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
    • Rice, J. R. 1971 Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity. J. Mech. Phys. Solids 19, 433-455.
    • (1971) J. Mech. Phys. Solids , vol.19 , pp. 433-455
    • Rice, J.R.1
  • 56
    • 0004915694 scopus 로고
    • Yield criteria, flow rules, and hardening in anisotropic plasticity
    • ed. J. P. Boehler, London: Mechanical Engineering Publications Limited
    • Rogers, T. G. 1990 Yield criteria, flow rules, and hardening in anisotropic plasticity. In Yielding, damage, and failure of anisotropic solids (ed. J. P. Boehler), pp. 53-79. London: Mechanical Engineering Publications Limited.
    • (1990) Yielding, Damage, and Failure of Anisotropic Solids , pp. 53-79
    • Rogers, T.G.1
  • 57
    • 22244435807 scopus 로고
    • Thermoelastic-plastic deformations of orthotropic materials
    • ed. J. P. Boehler & A. S. Khan, London: Elsevier Applied Science
    • Spencer, A. J. M. 1991 Thermoelastic-plastic deformations of orthotropic materials. In Anisotropy and localization of plastic deformation (ed. J. P. Boehler & A. S. Khan), pp. 28-31. London: Elsevier Applied Science.
    • (1991) Anisotropy and Localization of Plastic Deformation , pp. 28-31
    • Spencer, A.J.M.1
  • 59
    • 0035452128 scopus 로고    scopus 로고
    • Plastic spin and evolution of an anisotropic yield condition
    • Truong Qui, H. P. & Lippmann, H. 2001 Plastic spin and evolution of an anisotropic yield condition. Int. J. Mech. Sci. 43, 1969-1983.
    • (2001) Int. J. Mech. Sci. , vol.43 , pp. 1969-1983
    • Truong Qui, H.P.1    Lippmann, H.2
  • 60
    • 0035500246 scopus 로고    scopus 로고
    • On the impact of local rotation on the evolution of an anisotropic plastic yield condition
    • Truong Qui, H. P. & Lippmann, H. 2001 On the impact of local rotation on the evolution of an anisotropic plastic yield condition. J. Mech. Phys. Solids 49, 2577-2591.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 2577-2591
    • Truong Qui, H.P.1    Lippmann, H.2
  • 61
    • 0014974615 scopus 로고
    • A general theory of strength for anisotropic materials
    • Tsai, S. W. & Wu, E. M. 1971 A general theory of strength for anisotropic materials. J. Compos. Mater. 5, 50-80.
    • (1971) J. Compos. Mater. , vol.5 , pp. 50-80
    • Tsai, S.W.1    Wu, E.M.2
  • 63
    • 0014771402 scopus 로고
    • The anomalous behavior of aluminum sheet under balanced biaxial tension
    • Woodthorpe, J. & Pearce, R. 1970 The anomalous behavior of aluminum sheet under balanced biaxial tension. Int. J. Mech. Sci. 12, 341-347.
    • (1970) Int. J. Mech. Sci. , vol.12 , pp. 341-347
    • Woodthorpe, J.1    Pearce, R.2
  • 64
    • 0033149875 scopus 로고    scopus 로고
    • Anisotropic plasticity with application to sheet metals
    • Wu, H. C., Hong, H. K. & Shiao, Y. P. 1999 Anisotropic plasticity with application to sheet metals. Int. J. Mech. Sci. 41, 703-724.
    • (1999) Int. J. Mech. Sci. , vol.41 , pp. 703-724
    • Wu, H.C.1    Hong, H.K.2    Shiao, Y.P.3


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