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Volumn 21, Issue 8, 2005, Pages 1546-1567

Application of corotational rates of the logarithmic strain in constitutive modeling of hardening materials at finite deformations

Author keywords

Constitutive model; Corotational rates; Finite plasticity; Hardening materials; Logarithmic strain; Subsequent yield surfaces

Indexed keywords

DEFORMATION; KINEMATICS; MATHEMATICAL MODELS; PLASTICITY; STRAIN; STRESSES; TENSORS;

EID: 17844374874     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2004.07.005     Document Type: Article
Times cited : (23)

References (41)
  • 1
    • 0032691282 scopus 로고    scopus 로고
    • Self-consistent Eulerian rate type elastoplasticity models based upon the logarithmic stress rate
    • O.T. Bruhns, H. Xiao, and A. Meyers Self-consistent Eulerian rate type elastoplasticity models based upon the logarithmic stress rate Int. J. Plasticity 15 1999 479 520
    • (1999) Int. J. Plasticity , vol.15 , pp. 479-520
    • Bruhns, O.T.1    Xiao, H.2    Meyers, A.3
  • 2
    • 0035900551 scopus 로고    scopus 로고
    • Large simple shear and torsion problems in kinematic hardening elastoplasticity with logarithmic rate
    • O.T. Bruhns, H. Xiao, and A. Meyers Large simple shear and torsion problems in kinematic hardening elastoplasticity with logarithmic rate Int. J. Solid Struct. 38 2001 8701 8722
    • (2001) Int. J. Solid Struct. , vol.38 , pp. 8701-8722
    • Bruhns, O.T.1    Xiao, H.2    Meyers, A.3
  • 3
    • 0036096376 scopus 로고    scopus 로고
    • New results for the spin of the Eulerian triad and the logarithmic spin and rate
    • O.T. Bruhns, H. Xiao, and A. Meyers New results for the spin of the Eulerian triad and the logarithmic spin and rate Acta Mech. 155 2002 95 110
    • (2002) Acta Mech. , vol.155 , pp. 95-110
    • Bruhns, O.T.1    Xiao, H.2    Meyers, A.3
  • 4
    • 0038112020 scopus 로고    scopus 로고
    • Some basic issues in traditional Eulerian formulation of finite elastoplasticity
    • O.T. Bruhns, H. Xiao, and A. Meyers Some basic issues in traditional Eulerian formulation of finite elastoplasticity Int. J. Plasticity 19 2003 2007 2026
    • (2003) Int. J. Plasticity , vol.19 , pp. 2007-2026
    • Bruhns, O.T.1    Xiao, H.2    Meyers, A.3
  • 5
    • 0346394082 scopus 로고    scopus 로고
    • A material model for finite elasto-plastic deformations considering a substructure
    • A. Bucher, U.-J. Görke, and R. Kreißig A material model for finite elasto-plastic deformations considering a substructure Int. J. Plasticity 20 2004 619 642
    • (2004) Int. J. Plasticity , vol.20 , pp. 619-642
    • Bucher, A.1    Görke, U.-J.2    Kreißig, R.3
  • 6
    • 0036006519 scopus 로고    scopus 로고
    • A study on subsequent yield surface based on the distributed-element model
    • D.Y. Chiang, K.H. Su, and C.H. Liao A study on subsequent yield surface based on the distributed-element model Int. J. Plasticity 18 2002 51 70
    • (2002) Int. J. Plasticity , vol.18 , pp. 51-70
    • Chiang, D.Y.1    Su, K.H.2    Liao, C.H.3
  • 7
    • 0030420479 scopus 로고    scopus 로고
    • Distortional and orientational hardening at large viscoplastic deformations
    • H.C. Cho, and Y.F. Dafalias Distortional and orientational hardening at large viscoplastic deformations Int. J. Plasticity 12 1996 903 925
    • (1996) Int. J. Plasticity , vol.12 , pp. 903-925
    • Cho, H.C.1    Dafalias, Y.F.2
  • 8
    • 0034559428 scopus 로고    scopus 로고
    • An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity
    • J.C. Criscione, J.D. Humphrey, A.S. Douglas, and W.C. Hunter An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity J. Mech. Phys. Solid 48 2000 2445 2465
    • (2000) J. Mech. Phys. Solid , vol.48 , pp. 2445-2465
    • Criscione, J.C.1    Humphrey, J.D.2    Douglas, A.S.3    Hunter, W.C.4
  • 9
    • 0036743703 scopus 로고    scopus 로고
    • Direct tensor expression for natural strain and fast, accurate approximation
    • J.C. Criscione Direct tensor expression for natural strain and fast, accurate approximation Comp. Struct. 80 2002 1895 1905
    • (2002) Comp. Struct. , vol.80 , pp. 1895-1905
    • Criscione, J.C.1
  • 10
    • 0020816030 scopus 로고
    • Corotational rates for kinematic hardening at large plastic deformations
    • Y.F. Dafalias Corotational rates for kinematic hardening at large plastic deformations ASME J. Appl. Mech. 1983 561 565
    • (1983) ASME J. Appl. Mech. , pp. 561-565
    • Dafalias, Y.F.1
  • 12
    • 0018694759 scopus 로고
    • On the analysis of rotation and stress rate in deforming bodies
    • J.K. Dienes On the analysis of rotation and stress rate in deforming bodies Acta Mech. 217 1979 217 232
    • (1979) Acta Mech. , vol.217 , pp. 217-232
    • Dienes, J.K.1
  • 13
    • 0023536782 scopus 로고
    • Choice of tensor rates: A methodology
    • R.N. Dubey Choice of tensor rates: a methodology Solid Mech. Arch. 24 1987 233 244
    • (1987) Solid Mech. Arch. , vol.24 , pp. 233-244
    • Dubey, R.N.1
  • 14
    • 0034744466 scopus 로고    scopus 로고
    • A plasticity model with yield surface distortion for non proportional loading
    • M. Francois A plasticity model with yield surface distortion for non proportional loading Int. J. Plasticity 17 2001 703 717
    • (2001) Int. J. Plasticity , vol.17 , pp. 703-717
    • Francois, M.1
  • 15
    • 0029293050 scopus 로고
    • The logarithmic strain space description
    • K. Heiduschke The logarithmic strain space description Int. J. Solid Struct. 32 1995 1047 1062
    • (1995) Int. J. Solid Struct. , vol.32 , pp. 1047-1062
    • Heiduschke, K.1
  • 16
    • 0018202497 scopus 로고
    • Aspects of invariance in solid mechanics
    • Academic Press New York
    • R. Hill Aspects of invariance in solid mechanics Advances in Applied Mechanics vol. 18 1978 Academic Press New York
    • (1978) Advances in Applied Mechanics , vol.18
    • Hill, R.1
  • 17
    • 0031361509 scopus 로고    scopus 로고
    • Subsequent yield surface probed from its current center
    • H. Ishikawa Subsequent yield surface probed from its current center Int. J. Plasticity 13 1997 533 549
    • (1997) Int. J. Plasticity , vol.13 , pp. 533-549
    • Ishikawa, H.1
  • 18
    • 0032673234 scopus 로고    scopus 로고
    • Constitutive model of plasticity in finite deformation
    • H. Ishikawa Constitutive model of plasticity in finite deformation Int. J. Plasticity 15 1999 299 317
    • (1999) Int. J. Plasticity , vol.15 , pp. 299-317
    • Ishikawa, H.1
  • 19
    • 0021580164 scopus 로고
    • A discussion of stress rates in finite deformation problems
    • G.C. Johnson, and D.J. Bammann A discussion of stress rates in finite deformation problems Int. J. Solid Struct. 20 1984 725 737
    • (1984) Int. J. Solid Struct. , vol.20 , pp. 725-737
    • Johnson, G.C.1    Bammann, D.J.2
  • 21
    • 0020816112 scopus 로고
    • Stress analysis for anisotropic hardening in finite deformation plasticity
    • E.H. Lee, R.L. Mallett, and T.B. Wertheimer Stress analysis for anisotropic hardening in finite deformation plasticity ASME J. Appl. Mech. 50 1983 554 560
    • (1983) ASME J. Appl. Mech. , vol.50 , pp. 554-560
    • Lee, E.H.1    Mallett, R.L.2    Wertheimer, T.B.3
  • 22
    • 0037367759 scopus 로고    scopus 로고
    • A novel internal dissipation inequality by isotropy and its implication for inelastic constitutive characterization
    • R.C. Lin, and U. Schomburg A novel internal dissipation inequality by isotropy and its implication for inelastic constitutive characterization Mech. Res. Commun. 30 2003 125 133
    • (2003) Mech. Res. Commun. , vol.30 , pp. 125-133
    • Lin, R.C.1    Schomburg, U.2
  • 24
    • 0023586416 scopus 로고
    • Corotational rates in constitutive modeling of elastic-plastic deformation
    • D.R. Metzger, and R.N. Dubey Corotational rates in constitutive modeling of elastic-plastic deformation Int. J. Plasticity 1987 341 368
    • (1987) Int. J. Plasticity , pp. 341-368
    • Metzger, D.R.1    Dubey, R.N.2
  • 25
    • 0037159898 scopus 로고    scopus 로고
    • Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials
    • C. Miehe, N. Apel, and M. Lambrecht Anisotropic additive plasticity in the logarithmic strain space: modular kinematic formulation and implementation based on incremental minimization principles for standard materials Comput. Meth. Appl. Mech. Eng. 191 2003 5383 5425
    • (2003) Comput. Meth. Appl. Mech. Eng. , vol.191 , pp. 5383-5425
    • Miehe, C.1    Apel, N.2    Lambrecht, M.3
  • 26
    • 0038528402 scopus 로고    scopus 로고
    • Corotational constitutive modeling of isotropic and kinematic hardening materials
    • R. Naghdabadi, S. Sohrabpour, and A.R. Saidi Corotational constitutive modeling of isotropic and kinematic hardening materials Int. J. Sci. Tech. Scientia Iranica 10 2003 56 63
    • (2003) Int. J. Sci. Tech. Scientia Iranica , vol.10 , pp. 56-63
    • Naghdabadi, R.1    Sohrabpour, S.2    Saidi, A.R.3
  • 29
    • 0026626280 scopus 로고
    • A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues
    • D. Peric, D.R.J. Owen, and M.E. Honnor A model for finite strain elasto-plasticity based on logarithmic strains: computational issues Comp. Meth. Appl. Mech. Eng. 94 1992 35 61
    • (1992) Comp. Meth. Appl. Mech. Eng. , vol.94 , pp. 35-61
    • Peric, D.1    Owen, D.R.J.2    Honnor, M.E.3
  • 30
    • 0018725805 scopus 로고
    • Yield surfaces and loading surfaces. Experiments and recommendations
    • A. Phillips, and C.W. Lee Yield surfaces and loading surfaces. Experiments and recommendations Int. J. Solid Struct. 15 1979 715 729
    • (1979) Int. J. Solid Struct. , vol.15 , pp. 715-729
    • Phillips, A.1    Lee, C.W.2
  • 31
    • 0000471658 scopus 로고    scopus 로고
    • Application of objective rates in mechanical modeling of solids
    • W. Reinhardt, and R.N. Dubey Application of objective rates in mechanical modeling of solids ASME J. Appl. Mech. 118 1996 692 698
    • (1996) ASME J. Appl. Mech. , vol.118 , pp. 692-698
    • Reinhardt, W.1    Dubey, R.N.2
  • 32
    • 0029576228 scopus 로고
    • The appropriate corotational rate, exact formulation for the plastic spin and constitutive model for finite elasto-plasticity
    • B. Schieck, and H. Stumpf The appropriate corotational rate, exact formulation for the plastic spin and constitutive model for finite elasto-plasticity Int. J. Solid Struct. 32 1995 3643 3667
    • (1995) Int. J. Solid Struct. , vol.32 , pp. 3643-3667
    • Schieck, B.1    Stumpf, H.2
  • 33
    • 0024901058 scopus 로고
    • Comparison of some stress rates
    • L. Szabo, and M. Balla Comparison of some stress rates Int. J. Solid Struct. 25 1989 279 297
    • (1989) Int. J. Solid Struct. , vol.25 , pp. 279-297
    • Szabo, L.1    Balla, M.2
  • 34
    • 0035997873 scopus 로고    scopus 로고
    • On the predictive capabilities of anisotropic yield criterion for metals undergoing shearing deformations
    • P. Tugcu, P.D. Wu, and K.W. Neale On the predictive capabilities of anisotropic yield criterion for metals undergoing shearing deformations Int. J. Plasticity 18 2002 1219 1236
    • (2002) Int. J. Plasticity , vol.18 , pp. 1219-1236
    • Tugcu, P.1    Wu, P.D.2    Neale, K.W.3
  • 35
    • 0025799224 scopus 로고
    • Micromechanical and thermodynamic aspects of the plastic spin
    • E. Van der Giessen Micromechanical and thermodynamic aspects of the plastic spin Int. J. Plasticity 7 1991 365 386
    • (1991) Int. J. Plasticity , vol.7 , pp. 365-386
    • Van Der Giessen, E.1
  • 36
    • 0026960950 scopus 로고
    • On the effect of plastic spin on large strain elastic-plastic torsion of solid bars
    • E. Van der Giessen, P.D. Wu, and K.W. Neale On the effect of plastic spin on large strain elastic-plastic torsion of solid bars Int J. Plasticity 8 1992 773 801
    • (1992) Int J. Plasticity , vol.8 , pp. 773-801
    • Van Der Giessen, E.1    Wu, P.D.2    Neale, K.W.3
  • 37
    • 0037207581 scopus 로고    scopus 로고
    • On finite plastic deformation of anisotropic metallic materials
    • H.C. Wu On finite plastic deformation of anisotropic metallic materials Int. J. Plasticity 19 2003 91 119
    • (2003) Int. J. Plasticity , vol.19 , pp. 91-119
    • Wu, H.C.1
  • 38
    • 0038685835 scopus 로고    scopus 로고
    • Effect of loading-path on the evolution of yield surface for anisotropic metals subjected to large pre-strain
    • H.C. Wu Effect of loading-path on the evolution of yield surface for anisotropic metals subjected to large pre-strain Int. J. Plasticity 19 2003 1773 1800
    • (2003) Int. J. Plasticity , vol.19 , pp. 1773-1800
    • Wu, H.C.1
  • 39
    • 0031352140 scopus 로고    scopus 로고
    • Logarithmic strain, logarithmic spin and logarithmic rate
    • H. Xiao, O.T. Bruhns, and A. Meyers Logarithmic strain, logarithmic spin and logarithmic rate Acta Mech. 124 1997 89 105
    • (1997) Acta Mech. , vol.124 , pp. 89-105
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 40
    • 0034746030 scopus 로고    scopus 로고
    • Large strain responses of elastic-perfect plasticity and kinematic hardening plasticity with the logarithmic rates: Swift effect in torsion
    • H. Xiao, O.T. Bruhns, and A. Meyers Large strain responses of elastic-perfect plasticity and kinematic hardening plasticity with the logarithmic rates: swift effect in torsion Int. J. Plasticity 17 2001 211 235
    • (2001) Int. J. Plasticity , vol.17 , pp. 211-235
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 41
    • 0037372380 scopus 로고    scopus 로고
    • Hencky's logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity
    • H. Xiao, and L.A. Chen Hencky's logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity Int. J. Solid Struct. 40 2003 1455 1463
    • (2003) Int. J. Solid Struct. , vol.40 , pp. 1455-1463
    • Xiao, H.1    Chen, L.A.2


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