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Volumn 19, Issue 11 SPEC., 2003, Pages 2007-2026

Some basic issues in traditional Eulerian formulations of finite elastoplasticity

Author keywords

Anisotropy; Elasto plasticity; Eulerian rate formulation; Finite deformation; Unified loading criterion

Indexed keywords

ANISOTROPY; PLASTIC DEFORMATION; STRESS ANALYSIS; TENSORS;

EID: 0038112020     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(03)00047-0     Document Type: Conference Paper
Times cited : (46)

References (76)
  • 1
    • 0018446469 scopus 로고
    • On H. Hencky's approximate strain-energy function for moderate deformations
    • Anand L. On H. Hencky's approximate strain-energy function for moderate deformations. J. Appl. Mech. 46:1979;78-82.
    • (1979) J. Appl. Mech , vol.46 , pp. 78-82
    • Anand, L.1
  • 2
    • 0022603482 scopus 로고
    • Moderate deformations in extension-torsion of incompressible isotropic elastic materials
    • Anand L. Moderate deformations in extension-torsion of incompressible isotropic elastic materials. J. Mech. Phys. Solids. 34:1986;293-304.
    • (1986) J. Mech. Phys. Solids , vol.34 , pp. 293-304
    • Anand, L.1
  • 3
    • 0002973905 scopus 로고
    • Hypo-elasticity and elasticity
    • Bernstein B. Hypo-elasticity and elasticity. Arch. Rat. Mech. Anal. 6:1960;90-104.
    • (1960) Arch. Rat. Mech. Anal , vol.6 , pp. 90-104
    • Bernstein, B.1
  • 5
    • 0038447569 scopus 로고    scopus 로고
    • On material objectivity and reduced constitutive equations
    • Bertram A., Svendsen B. On material objectivity and reduced constitutive equations. Arch. Mech. 53:2001;613-636.
    • (2001) Arch. Mech , vol.53 , pp. 613-636
    • Bertram, A.1    Svendsen, B.2
  • 6
    • 0020244982 scopus 로고
    • Net-stress analysis in creep mechanics
    • Betten J. Net-stress analysis in creep mechanics. Ing.-Archiv. 52:1982;405-419.
    • (1982) Ing.-Archiv , vol.52 , pp. 405-419
    • Betten, J.1
  • 7
    • 0023826423 scopus 로고
    • Applications of tensor functions to the formulation of yield criteria for anisotropic materials
    • Betten J. Applications of tensor functions to the formulation of yield criteria for anisotropic materials. Int. J. Plasticity. 4:1988;29-46.
    • (1988) Int. J. Plasticity , vol.4 , pp. 29-46
    • Betten, J.1
  • 9
    • 33748715939 scopus 로고    scopus 로고
    • Anwendungen von Tensorfunktionen in der Kontinuumsmechanik anisotroper Materialien
    • Betten J. Anwendungen von Tensorfunktionen in der Kontinuumsmechanik anisotroper Materialien. Z. Angew. Math. Mech. 78:1998;507-521.
    • (1998) Z. Angew. Math. Mech , vol.78 , pp. 507-521
    • Betten, J.1
  • 10
    • 0018454663 scopus 로고
    • A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy
    • Boehler J.P. A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy. Z. Angew. Math. Mech. 59:1979;157-167.
    • (1979) Z. Angew. Math. Mech , vol.59 , pp. 157-167
    • Boehler, J.P.1
  • 11
    • 0003285491 scopus 로고
    • Applications of tensor functions in solid mechanics
    • J.P. Boehler. Wien: Springer-Verlag
    • Boehler J.P. Applications of Tensor Functions in Solid Mechanics. CISM Courses and Lectures, Vol. 292. 1987;Springer-Verlag, Wien.
    • (1987) CISM Courses and Lectures , vol.292
    • Boehler, J.P.1
  • 12
    • 0010984615 scopus 로고
    • An internal variable theory of inelastic behaviour at high rate of strain
    • Bruhns O.T., Diehl H. An internal variable theory of inelastic behaviour at high rate of strain. Arch. Mech. 41:1989;427-460.
    • (1989) Arch. Mech , vol.41 , pp. 427-460
    • Bruhns, O.T.1    Diehl, H.2
  • 13
    • 0032664378 scopus 로고    scopus 로고
    • On representations of yield functions for crystals, quasicrystals and transversely isotropic solids
    • Bruhns O.T., Xiao H., Meyers A. On representations of yield functions for crystals, quasicrystals and transversely isotropic solids. Eur. J. Mech. A/Solids. 18:1999;47-67.
    • (1999) Eur. J. Mech. A/Solids , vol.18 , pp. 47-67
    • Bruhns, O.T.1    Xiao, H.2    Meyers, A.3
  • 14
    • 0032691282 scopus 로고    scopus 로고
    • Self-consistent Eulerian rate type elastoplasticity models based upon the logarithmic stress rate
    • Bruhns O.T., Xiao H., Meyers A. 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
  • 15
    • 0000991815 scopus 로고    scopus 로고
    • Hencky's elasticity model with the logarithmic strain measure: A study on poynting effect and stress response in torsion of tubes and rods
    • Bruhns O.T., Xiao H., Meyers A. Hencky's elasticity model with the logarithmic strain measure. a study on poynting effect and stress response in torsion of tubes and rods Arch. Mech. 52:2000;489-509.
    • (2000) Arch. Mech , vol.52 , pp. 489-509
    • Bruhns, O.T.1    Xiao, H.2    Meyers, A.3
  • 16
    • 0035201077 scopus 로고    scopus 로고
    • A self-consistent Eulerian rate type model for finite deformation elastoplasticity with isotropic damage
    • Bruhns O.T., Xiao H., Meyers A. A self-consistent Eulerian rate type model for finite deformation elastoplasticity with isotropic damage. Int. J. Solids Struct. 38:2001;657-683.
    • (2001) Int. J. Solids Struct , vol.38 , pp. 657-683
    • Bruhns, O.T.1    Xiao, H.2    Meyers, A.3
  • 17
    • 0034741103 scopus 로고    scopus 로고
    • A large strain plasticity model for anisotropic materials - Composite material application
    • Car E., Oller S., Oñate E. A large strain plasticity model for anisotropic materials - composite material application. Int. J. Plasticity. 17:2001;1437-1463.
    • (2001) Int. J. Plasticity , vol.17 , pp. 1437-1463
    • Car, E.1    Oller, S.2    Oñate, E.3
  • 18
    • 0019577204 scopus 로고
    • On the characterization of strain-hardening in plasticity
    • Casey J., Naghdi P.M. On the characterization of strain-hardening in plasticity. J. Appl. Mech. 48:1981;285-296.
    • (1981) J. Appl. Mech , vol.48 , pp. 285-296
    • Casey, J.1    Naghdi, P.M.2
  • 19
    • 0020766196 scopus 로고
    • On the nonequivalence of the stress space and strain space formulations of plasticity theory
    • Casey J., Naghdi P.M. On the nonequivalence of the stress space and strain space formulations of plasticity theory. J. Appl. Mech. 50:1983;350-354.
    • (1983) J. Appl. Mech , vol.50 , pp. 350-354
    • Casey, J.1    Naghdi, P.M.2
  • 20
    • 0020650638 scopus 로고
    • A remark on the definition of hardening, softening and perfectly plastic behavior
    • Casey J., Naghdi P.M. A remark on the definition of hardening, softening and perfectly plastic behavior. Acta Mechanica. 48:1983;91-94.
    • (1983) Acta Mechanica , vol.48 , pp. 91-94
    • Casey, J.1    Naghdi, P.M.2
  • 22
    • 0021422307 scopus 로고
    • Further constitutive results in finite plasticity
    • Casey J., Naghdi P.M. Further constitutive results in finite plasticity. Quart. J. Mech. Appl. Math. 37:1984;231-259.
    • (1984) Quart. J. Mech. Appl. Math , vol.37 , pp. 231-259
    • Casey, J.1    Naghdi, P.M.2
  • 23
    • 0021548538 scopus 로고
    • Strain-hardening response of elastic-plastic materials
    • C.S. Desai, & R.H. Gallagher. New York: John Wiley & Sons Ltd
    • Casey J., Naghdi P.M. Strain-hardening response of elastic-plastic materials. Desai C.S., Gallagher R.H. Mechanics of Engineering Materials. 1984;61-89 John Wiley & Sons Ltd, New York.
    • (1984) Mechanics of Engineering Materials , pp. 61-89
    • Casey, J.1    Naghdi, P.M.2
  • 24
    • 0037770735 scopus 로고
    • On the relationship between the Eulerian and Lagrangian descriptions of finite rigid plasticity
    • Casey J., Naghdi P.M. On the relationship between the Eulerian and Lagrangian descriptions of finite rigid plasticity. Arch. Rat. Mech. Anal. 102:1988;351-375.
    • (1988) Arch. Rat. Mech. Anal , vol.102 , pp. 351-375
    • Casey, J.1    Naghdi, P.M.2
  • 25
    • 34250970465 scopus 로고
    • A general theory of an elastic-plastic continuum
    • Green A.E., Naghdi P.M. A general theory of an elastic-plastic continuum. Arch. Rat. Mech. Anal. 18:1965;251-281.
    • (1965) Arch. Rat. Mech. Anal , vol.18 , pp. 251-281
    • Green, A.E.1    Naghdi, P.M.2
  • 26
    • 0037289552 scopus 로고    scopus 로고
    • A multiplicative finite elastoplastic formulation with anisotropic yield functions
    • Han C.-S., Chung K., Wagoner R.H., Oh S.-I. A multiplicative finite elastoplastic formulation with anisotropic yield functions. Int. J. Plasticity. 19:2003;197-211.
    • (2003) Int. J. Plasticity , vol.19 , pp. 197-211
    • Han, C.-S.1    Chung, K.2    Wagoner, R.H.3    Oh, S.-I.4
  • 27
  • 28
    • 84880148296 scopus 로고    scopus 로고
    • On the modelling of anisotropic material behaviour in viscoplasticity
    • in press
    • Haupt, P., Kersten, T., in press. On the modelling of anisotropic material behaviour in viscoplasticity. Int. J. Plasticity.
    • Int. J. Plasticity
    • Haupt, P.1    Kersten, T.2
  • 29
    • 0001744822 scopus 로고
    • Über die Form des Elastizitätsgesetzes bei ideal elastischen Stoffen
    • Hencky H. Über die Form des Elastizitätsgesetzes bei ideal elastischen Stoffen. Z. Techn. Phys. 9:1928;215-220. 457.
    • (1928) Z. Techn. Phys , vol.9 , pp. 215-220
    • Hencky, H.1
  • 30
    • 0000733877 scopus 로고
    • The law of elasticity for isotropic and quasi-isotropic substances by finite deformations
    • Hencky H. The law of elasticity for isotropic and quasi-isotropic substances by finite deformations. J. Rheology. 2:1931;169-176.
    • (1931) J. Rheology , vol.2 , pp. 169-176
    • Hencky, H.1
  • 31
    • 27744574041 scopus 로고
    • A general theory of uniqueness and stability in elastic-plastic solids
    • Hill R. A general theory of uniqueness and stability in elastic-plastic solids. J. Mech. Phys. Solids. 6:1958;236-249.
    • (1958) J. Mech. Phys. Solids , vol.6 , pp. 236-249
    • Hill, R.1
  • 32
    • 49749207335 scopus 로고
    • Some basic principles in the mechanics of solids without a natural time
    • Hill R. Some basic principles in the mechanics of solids without a natural time. J. Mech. Phys. Solids. 7:1959;209-225.
    • (1959) J. Mech. Phys. Solids , vol.7 , pp. 209-225
    • Hill, R.1
  • 33
    • 0000370229 scopus 로고
    • On the classical constitutive laws for elastic/plastic solids
    • B. et al. Broberg. New York: John Wiley & Sons
    • Hill R. On the classical constitutive laws for elastic/plastic solids. Broberg B.et al. Recent Progress in Applied Mechanics, F.K.G. Odqvist Volume. 1967;241-249 John Wiley & Sons, New York.
    • (1967) Recent Progress in Applied Mechanics, F.K.G. Odqvist Volume , pp. 241-249
    • Hill, R.1
  • 34
    • 0018202497 scopus 로고
    • Aspects of invariance in solid mechanics
    • Hill R. Aspects of invariance in solid mechanics. Advances in Appl. Mech. 18:1978;1-75.
    • (1978) Advances in Appl. Mech , vol.18 , pp. 1-75
    • Hill, R.1
  • 36
    • 0038108271 scopus 로고
    • On large elastic-plastic deformations
    • A. Sawczuk. Leyden: Noordhoff International
    • Lehmann T. On large elastic-plastic deformations. Sawczuk A. Foundations of Plasticity. 1972;571-585 Noordhoff International, Leyden.
    • (1972) Foundations of Plasticity , pp. 571-585
    • Lehmann, T.1
  • 37
    • 0020243053 scopus 로고
    • On representations of anisotropic invariants
    • Liu I.S. On representations of anisotropic invariants. Int. J. Engng Sci. 20:1982;1099-1109.
    • (1982) Int. J. Engng Sci. , vol.20 , pp. 1099-1109
    • Liu, I.S.1
  • 38
    • 0022211659 scopus 로고
    • Recent developments in finite deformation plasticity
    • A. Sawczuk, & G. Bianchi. Essex: Elsevier Applied Science
    • Naghdi P.M. Recent developments in finite deformation plasticity. Sawczuk A., Bianchi G. Plasticity Today: Modelling, Methods and Applications. 1984;75-83 Elsevier Applied Science, Essex.
    • (1984) Plasticity Today: Modelling, Methods and Applications , pp. 75-83
    • Naghdi, P.M.1
  • 39
    • 34249963313 scopus 로고
    • A critical review of the state of finite plasticity
    • Naghdi P.M. A critical review of the state of finite plasticity. Z. Angew. Math. Phys. 41:1990;315-394.
    • (1990) Z. Angew. Math. Phys , vol.41 , pp. 315-394
    • Naghdi, P.M.1
  • 40
    • 0016484381 scopus 로고
    • On the nature of normality of plastic strain rate and convexity of yield surfaces in plasticity
    • Naghdi P.M., Trapp J.A. On the nature of normality of plastic strain rate and convexity of yield surfaces in plasticity. J. Appl. Mech. 42:1975;61-65.
    • (1975) J. Appl. Mech , vol.42 , pp. 61-65
    • Naghdi, P.M.1    Trapp, J.A.2
  • 41
    • 0016473580 scopus 로고
    • Restrictions on constitutive equations of finitely deformed elastic-plastic materials
    • Naghdi P.M., Trapp J.A. Restrictions on constitutive equations of finitely deformed elastic-plastic materials. Quart. J. Mech. Appl. Math. 28:1975;25-46.
    • (1975) Quart. J. Mech. Appl. Math , vol.28 , pp. 25-46
    • Naghdi, P.M.1    Trapp, J.A.2
  • 42
    • 0016557937 scopus 로고
    • The significance of formulating plasticity theory with reference to loading surfaces in strain space
    • Naghdi P.M., Trapp J.A. The significance of formulating plasticity theory with reference to loading surfaces in strain space. Int. J. Engng. Sci. 13:1975;785-797.
    • (1975) Int. J. Engng. Sci. , vol.13 , pp. 785-797
    • Naghdi, P.M.1    Trapp, J.A.2
  • 43
    • 0019482207 scopus 로고
    • Phenomenological constitutive laws in finite plasticity
    • Neale K.W. Phenomenological constitutive laws in finite plasticity. SM Archives. 6:1981;79-128.
    • (1981) SM Archives , vol.6 , pp. 79-128
    • Neale, K.W.1
  • 44
    • 0000020678 scopus 로고
    • On finite deformation elastoplasticity
    • Nemat-Nasser S. On finite deformation elastoplasticity. Int. J. Solids Struct. 18:1982;857-872.
    • (1982) Int. J. Solids Struct , vol.18 , pp. 857-872
    • Nemat-Nasser, S.1
  • 45
    • 0026835391 scopus 로고
    • Phenomenological theories of elastoplasticity and strain localization at high strain rates
    • Nemat-Nasser S. Phenomenological theories of elastoplasticity and strain localization at high strain rates. Appl. Mech. Rev. 45, S19-S45. 1992.
    • (1992) Appl. Mech. Rev. , vol.45
    • Nemat-Nasser, S.1
  • 47
    • 0012767703 scopus 로고
    • On representations of tensor functions: A review
    • Rychlewski J., Zhang J.M. On representations of tensor functions. a review Advances in Mech. 14:1991;75-94.
    • (1991) Advances in Mech , vol.14 , pp. 75-94
    • Rychlewski, J.1    Zhang, J.M.2
  • 48
    • 0002847419 scopus 로고
    • A study on rate-type constitutive equations and the existence of a free energy function
    • Sansour C., Bednarczyk H. A study on rate-type constitutive equations and the existence of a free energy function. Acta Mechanica. 100:1993;205-221.
    • (1993) Acta Mechanica , vol.100 , pp. 205-221
    • Sansour, C.1    Bednarczyk, H.2
  • 50
    • 0021515714 scopus 로고
    • Remarks on rate constitutive equations for finite deformation problems: Computational implications
    • Simó J.C., Pister K.S. Remarks on rate constitutive equations for finite deformation problems. computational implications Comp. Meth. Appl. Mech. Engng. 46:1984;201-215.
    • (1984) Comp. Meth. Appl. Mech. Engng , vol.46 , pp. 201-215
    • Simó, J.C.1    Pister, K.S.2
  • 51
    • 0001416793 scopus 로고
    • Theory of invariants
    • A.C. Eringen. New York: Academic Press
    • Spencer A.J.M. Theory of invariants. Eringen A.C. Continuum Physics. Vol. I. 1971;239-353 Academic Press, New York.
    • (1971) Continuum Physics , vol.1 , pp. 239-353
    • Spencer, A.J.M.1
  • 52
    • 0028748951 scopus 로고
    • On the representation of constitutive relations using structure tensors
    • Svendsen B. On the representation of constitutive relations using structure tensors. Int. J. Engng. Sci. 32:1994;1889-1892.
    • (1994) Int. J. Engng. Sci. , vol.32 , pp. 1889-1892
    • Svendsen, B.1
  • 53
    • 0032794996 scopus 로고    scopus 로고
    • On frame-indifference and form-invariance in constitutive theory
    • Svendsen B., Bertram A. On frame-indifference and form-invariance in constitutive theory. Acta Mechanica. 132:1999;195-207.
    • (1999) Acta Mechanica , vol.132 , pp. 195-207
    • Svendsen, B.1    Bertram, A.2
  • 54
    • 0002565890 scopus 로고
    • The nonlinear field theories of mechanics
    • S. Flügge. Berlin: Springer-Verlag
    • Truesdell C.A., Noll W. The nonlinear field theories of mechanics. Flügge S. Handbuch der Physik. Vol. III/3. 1965;1-602 Springer-Verlag, Berlin.
    • (1965) Handbuch der Physik , vol.3 , Issue.3 , pp. 1-602
    • Truesdell, C.A.1    Noll, W.2
  • 55
    • 0032597923 scopus 로고    scopus 로고
    • On the implementation of anisotropic yield functions into finite strain problems of sheet metal forming
    • Tucu P., Neale K.W. On the implementation of anisotropic yield functions into finite strain problems of sheet metal forming. Int. J. Plasticity. 15:1999;1021-1040.
    • (1999) Int. J. Plasticity , vol.15 , pp. 1021-1040
    • Tucu, P.1    Neale, K.W.2
  • 56
    • 0037207581 scopus 로고    scopus 로고
    • On finite plastic deformation of anisotropic metallic materials
    • Wu H.-C. 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
  • 57
    • 21344441069 scopus 로고    scopus 로고
    • On isotropic extension of anisotropic tensor functions
    • Xiao H. On isotropic extension of anisotropic tensor functions. Z. Angew. Math. Mech. 76:1996;205-215.
    • (1996) Z. Angew. Math. Mech , vol.76 , pp. 205-215
    • Xiao, H.1
  • 58
    • 0030261294 scopus 로고    scopus 로고
    • On minimal representations for constitutive equations of anisotropic elastic materials
    • Xiao H. On minimal representations for constitutive equations of anisotropic elastic materials. J. Elasticity. 45:1996;13-32.
    • (1996) J. Elasticity , vol.45 , pp. 13-32
    • Xiao, H.1
  • 59
    • 0031333089 scopus 로고    scopus 로고
    • On constitutive equations of Cauchy's elastic solids: All kinds of crystals and quasicrystals
    • Xiao H. On constitutive equations of Cauchy's elastic solids. all kinds of crystals and quasicrystals J. Elasticity. 48:1997;241-283.
    • (1997) J. Elasticity , vol.48 , pp. 241-283
    • Xiao, H.1
  • 60
    • 0038447568 scopus 로고    scopus 로고
    • A unified theory of representations for scalar-, vector- and second order tensor-valued anisotropic functions of vectors and second order tensors
    • Xiao H. A unified theory of representations for scalar-, vector- and second order tensor-valued anisotropic functions of vectors and second order tensors. Arch. Mech. 49:1997;995-1039.
    • (1997) Arch. Mech , vol.49 , pp. 995-1039
    • Xiao, H.1
  • 61
    • 0038447567 scopus 로고    scopus 로고
    • On anisotropic invariants of a single symmetric tensor: Crystal classes, quasicrystal classes and others
    • Xiao H. On anisotropic invariants of a single symmetric tensor. crystal classes, quasicrystal classes and others Proc. Roy. Soc. London A. 454:1998;1217-1240.
    • (1998) Proc. Roy. Soc. London A , vol.454 , pp. 1217-1240
    • Xiao, H.1
  • 63
    • 0031108422 scopus 로고    scopus 로고
    • Hypo-elasticity model based upon the logarithmic stress rate
    • Xiao H., Bruhns O.T., Meyers A. Hypo-elasticity model based upon the logarithmic stress rate. J. Elasticity. 47:1997;51-68.
    • (1997) J. Elasticity , vol.47 , pp. 51-68
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 64
    • 0031352140 scopus 로고    scopus 로고
    • Logarithmic strain, logarithmic spin and logarithmic rate
    • Xiao H., Bruhns O.T., Meyers A. Logarithmic strain, logarithmic spin and logarithmic rate. Acta Mechanica. 124:1997;89-105.
    • (1997) Acta Mechanica , vol.124 , pp. 89-105
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 65
    • 0032182760 scopus 로고    scopus 로고
    • On objective corotational rates and their defining spin tensors
    • Xiao H., Bruhns O.T., Meyers A. On objective corotational rates and their defining spin tensors. Int. J. Solids Struct. 35:1998;4001-4014.
    • (1998) Int. J. Solids Struct , vol.35 , pp. 4001-4014
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 67
    • 0032606297 scopus 로고    scopus 로고
    • Existence and uniqueness of the integrable-exactly hypoelastic equation τ̊ * = λ(trD)I+2μD and its significance to finite inelasticity
    • Xiao H., Bruhns O.T., Meyers A. Existence and uniqueness of the integrable-exactly hypoelastic equation. τ̊ * = λ(trD)I+2μD and its significance to finite inelasticity Acta Mechanica. 138:1999;31-50.
    • (1999) Acta Mechanica , vol.138 , pp. 31-50
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 68
    • 0037770730 scopus 로고    scopus 로고
    • Irreducible representations for constitutive equations of anisotropic solids
    • Xiao H., Bruhns O.T., Meyers A. Irreducible representations for constitutive equations of anisotropic solids. Part I. Arch. Mech. 51:1999;559-603.
    • (1999) Part I. Arch. Mech , vol.51 , pp. 559-603
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 69
    • 0006067885 scopus 로고    scopus 로고
    • A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity
    • Xiao H., Bruhns O.T., Meyers A. A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity. J. Elasticity. 56:1999;59-93.
    • (1999) J. Elasticity , vol.56 , pp. 59-93
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 71
    • 0000049251 scopus 로고    scopus 로고
    • The choice of objective rates in finite elastoplasticity: General results on the uniqueness of the logarithmic rate
    • Xiao H., Bruhns O.T., Meyers A. The choice of objective rates in finite elastoplasticity. general results on the uniqueness of the logarithmic rate Proc. Roy. Soc. London A. 456:2000;1865-1882.
    • (2000) Proc. Roy. Soc. London A , vol.456 , pp. 1865-1882
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 72
    • 0033874267 scopus 로고    scopus 로고
    • A consistent finite elastoplasticity theory combining additive and multiplicative decomposition of the stretching and the deformation gradient
    • Xiao H., Bruhns O.T., Meyers A. A consistent finite elastoplasticity theory combining additive and multiplicative decomposition of the stretching and the deformation gradient. Int. J. Plasticity. 16:2000;143-177.
    • (2000) Int. J. Plasticity , vol.16 , pp. 143-177
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 73
    • 0038447564 scopus 로고    scopus 로고
    • Irreducible representations for constitutive equations of anisotropic solids
    • Xiao H., Bruhns O.T., Meyers A. Irreducible representations for constitutive equations of anisotropic solids. Parts II-III. Arch. Mech. 52:2000;55-88. 347-395.
    • (2000) Parts II-III. Arch. Mech , vol.52 , pp. 55-88
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 74
    • 0025771825 scopus 로고
    • Material anisotropy and plasticity formulations
    • Zhang J.M. Material anisotropy and plasticity formulations. Eur. J. Mech. A/Solids. 10:1991;157-174.
    • (1991) Eur. J. Mech. A/Solids , vol.10 , pp. 157-174
    • Zhang, J.M.1
  • 75
    • 0000363407 scopus 로고
    • Structural tensors for anisotropic solids
    • Zhang J.M., Rychlewski J. Structural tensors for anisotropic solids. Arch. Mechanics. 42:1990;267-277.
    • (1990) Arch. Mechanics , vol.42 , pp. 267-277
    • Zhang, J.M.1    Rychlewski, J.2
  • 76
    • 0027595791 scopus 로고
    • Tensors which characterize anisotropies
    • Zheng Q.S., Spencer A.J.M. Tensors which characterize anisotropies. Int. J. Engng. Sci. 31:1993;679-693.
    • (1993) Int. J. Engng. Sci. , vol.31 , pp. 679-693
    • Zheng, Q.S.1    Spencer, A.J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.