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Volumn 74, Issue 1-2, 2004, Pages 75-91

A constitutive model for orthotropic elasto-plasticity at large strains

Author keywords

Finite simple shear; Large strains; Orthotropic plasticity; Plastic spin; Structural tensor; Yield function

Indexed keywords

ANISOTROPY; CONSTRAINT THEORY; FUNCTIONS; MATHEMATICAL MODELS; PLASTIC DEFORMATION; SHEAR STRESS; STRAIN; TENSORS; THERMODYNAMICS;

EID: 10044281840     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00419-004-0339-4     Document Type: Article
Times cited : (29)

References (33)
  • 1
    • 0027073018 scopus 로고
    • Finite elastoplastic transformations of transversely isotropic metals
    • Aravas, N.: (1992) Finite elastoplastic transformations of transversely isotropic metals. Int. J. Solids Struct 29: 2137-2157
    • (1992) Int. J. Solids Struct , vol.29 , pp. 2137-2157
    • Aravas, N.1
  • 2
    • 42149196823 scopus 로고
    • Anisotropic plasticity and the plastic spin
    • Aravas, N.: (1994) Anisotropic plasticity and the plastic spin. Model Simulation Mat. Sci. Eng. 2:483-504
    • (1994) Model Simulation Mat. Sci. Eng. , vol.2 , pp. 483-504
    • Aravas, N.1
  • 3
    • 0018454663 scopus 로고
    • A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy
    • Boehler, J.P.: (1979) A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy. Z. Angew. Math. Mech. (ZAMM) 59:157-167
    • (1979) Z. Angew. Math. Mech. (ZAMM) , vol.59 , pp. 157-167
    • Boehler, J.P.1
  • 5
    • 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. Mat. 3: 223-233
    • (1984) Mech. Mat. , vol.3 , pp. 223-233
    • Dafalias, Y.F.1
  • 6
    • 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
  • 7
    • 0034326095 scopus 로고    scopus 로고
    • Orientational evolution of plastic orthotropy in sheet metals
    • Dafalias YF (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
  • 8
    • 0036815599 scopus 로고    scopus 로고
    • A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: Continuum basis, algorithmic formulation and finite element implementation
    • Gasser, T.C; Holzapfel, G.A; (2002) A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation. Comput. Mech. 29: 340-360
    • (2002) Comput. Mech. , vol.29 , pp. 340-360
    • Gasser, T.C.1    Holzapfel, G.A.2
  • 10
    • 0142197386 scopus 로고    scopus 로고
    • Description of plastic anisotropy effects at large deformations. Part II: The case of transverse isotropy
    • Häusler, O.; Schick, D.; Tsakmakis, C.h.: (2004) Description of plastic anisotropy effects at large deformations. Part II: the case of transverse isotropy. Int. J. Plasticity 20: 199-223
    • (2004) Int. J. Plasticity , vol.20 , pp. 199-223
    • Häusler, O.1    Schick, D.2    Tsakmakis, C.H.3
  • 12
    • 0035050355 scopus 로고    scopus 로고
    • A generalized orthotropic hyperelastic material model with application to incompressible shells
    • Itskov, M.: (2001) A generalized orthotropic hyperelastic material model with application to incompressible shells. Int. J. Numer. Meth. Eng. 50: 1777-1799
    • (2001) Int. J. Numer. Meth. Eng. , vol.50 , pp. 1777-1799
    • Itskov, M.1
  • 13
    • 23044533872 scopus 로고    scopus 로고
    • The derivative with respect to a tensor: Some theoretical aspects and applications
    • Itskov, M.: (2002) The derivative with respect to a tensor: some theoretical aspects and applications. Z Angew Math. Mech. (ZAMM) 82: 535-544
    • (2002) Z Angew Math. Mech. (ZAMM) , vol.82 , pp. 535-544
    • Itskov, M.1
  • 14
    • 3042811859 scopus 로고    scopus 로고
    • On the application of the additive decomposition of generalized strain measures in large strain plasticity
    • Itskov, M.: (2004) On the application of the additive decomposition of generalized strain measures in large strain plasticity. Mech. Res. Commun. 31: 507-517
    • (2004) Mech. Res. Commun. , vol.31 , pp. 507-517
    • Itskov, M.1
  • 15
    • 0036374363 scopus 로고    scopus 로고
    • Elastic constants and their admissible values for incompressible and slightly compressible anisotropic materials
    • Itskov, M.; Aksel, N.: (2002) Elastic constants and their admissible values for incompressible and slightly compressible anisotropic materials. Acta Mech. 157: 81-96
    • (2002) Acta Mech. , vol.157 , pp. 81-96
    • Itskov, M.1    Aksel, N.2
  • 18
    • 0020243053 scopus 로고
    • On representations of anisotropic invariants
    • Liu, I.S.: (1982) On representations of anisotropic invariants. Int. J. Eng Sci. 20: 1099-1109
    • (1982) Int. J. Eng Sci. , vol.20 , pp. 1099-1109
    • Liu, I.S.1
  • 19
    • 0022674479 scopus 로고
    • Normality rules in large-deformation plasticity
    • Lubliner, J.: (1986) Normality rules in large-deformation plasticity. Mech. Mat. 5: 29-34
    • (1986) Mech. Mat. , vol.5 , pp. 29-34
    • Lubliner, J.1
  • 20
    • 0003457345 scopus 로고
    • Macmillan Publishing Company, New York
    • Lubliner, J.: (1990) Plasticity theory. Macmillan Publishing Company, New York
    • (1990) Plasticity Theory
    • Lubliner, J.1
  • 21
    • 0029307001 scopus 로고
    • On the correlation of elastic and plastic anisotropy in sheet metals
    • Man, C.-S.: (1995) On the correlation of elastic and plastic anisotropy in sheet metals. J. Elast. 39: 165-173
    • (1995) J. Elast. , vol.39 , pp. 165-173
    • Man, C.-S.1
  • 22
    • 0003232369 scopus 로고
    • Plasticité classique et viscoplasticité
    • Springer, Vienna, New York
    • Mandel, J.: (1972) Plasticité classique et viscoplasticité, CISM course no. 97, Springer, Vienna, New York
    • (1972) CISM Course No. 97
    • Mandel, J.1
  • 23
    • 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
    • Miehe, C.; Apel, N.; Lambrecht, M.: (2002) Anisotropic additive plasticity in the logarithmic strain space: modular kinematic formulation and implementation based on incremental minimization principles for standard materials. Comput. Methods Appl. Mech. Eng. 191: 5383-5425
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 5383-5425
    • Miehe, C.1    Apel, N.2    Lambrecht, M.3
  • 24
    • 0035933347 scopus 로고    scopus 로고
    • On the formulation and numerical solution of problems in anisotropic finite plasticity
    • Papadopoulos, P.; Lu, J.: (2001) On the formulation and numerical solution of problems in anisotropic finite plasticity. Comput. Methods Appl. Mech. Eng 190: 4889-4910
    • (2001) Comput. Methods Appl. Mech. Eng , vol.190 , pp. 4889-4910
    • Papadopoulos, P.1    Lu, J.2
  • 25
    • 0026626280 scopus 로고
    • A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues
    • Perić, D.; Owen, D.R.J.; Honnor, M.E.: (1992) A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues. Comput. Methods Appl. Mech. Eng 94: 35-61
    • (1992) Comput. Methods Appl. Mech. Eng , vol.94 , pp. 35-61
    • Perić, D.1    Owen, D.R.J.2    Honnor, M.E.3
  • 26
    • 0036930716 scopus 로고    scopus 로고
    • A simple orthotropic finite elasto-plasticity model based on generalised stress-strain measures
    • Schröder, J.; Gruttmann, F.; Löblein J.: (2002) A simple orthotropic finite elasto-plasticity model based on generalised stress-strain measures. Comput. Mech. 30: 48-64
    • (2002) Comput. Mech. , vol.30 , pp. 48-64
    • Schröder, J.1    Gruttmann, F.2    Löblein, J.3
  • 27
    • 0001438758 scopus 로고
    • On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
    • Smith, G.F.: (1971) On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors. Int. J. Eng Sci. 9: 899-916
    • (1971) Int. J. Eng Sci. , vol.9 , pp. 899-916
    • Smith, G.F.1
  • 29
    • 0032597923 scopus 로고    scopus 로고
    • On the implementation of anisotropic yield functions into finite strain problems of sheet metal forming
    • Tiǧcu, P.; Neale, K.W.: (1999) On the implementation of anisotropic yield functions into finite strain problems of sheet metal forming. Int. J. Plasticity 15: 1021-1040
    • (1999) Int. J. Plasticity , vol.15 , pp. 1021-1040
    • Tiǧcu, P.1    Neale, K.W.2
  • 30
    • 0347595825 scopus 로고    scopus 로고
    • Finite strain analysis of simple shear using recent anisotropic yield criteria
    • Tiǧcu, P.; Wu, P.D.; Neale, K.W.: (1999) Finite strain analysis of simple shear using recent anisotropic yield criteria. Int. J. Plasticity 15: 939-962
    • (1999) Int. J. Plasticity , vol.15 , pp. 939-962
    • Tiǧcu, P.1    Wu, P.D.2    Neale, K.W.3
  • 31
    • 0002565890 scopus 로고
    • The nonlinear field theories of mechanics
    • Flǔgge S (ed.), Springer, Berlin
    • Truesdell, C.; Noll, W.: (1965) The nonlinear field theories of mechanics. In: Flǔgge S (ed.), Handbuch der Physik, vol. III/3. Springer, Berlin
    • (1965) Handbuch Der Physik , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 32
    • 0142166482 scopus 로고    scopus 로고
    • Description of plastic anisotropy effects at large deformations. Part I: Restrictions imposed by the second law and the postulate of Il'iushin
    • Tsakmakis, Ch.: (2004) Description of plastic anisotropy effects at large deformations. Part I: Restrictions imposed by the second law and the postulate of Il'iushin. Int. J. Plasticity 20: 167-198
    • (2004) Int. J. Plasticity , vol.20 , pp. 167-198
    • Tsakmakis, Ch.1
  • 33
    • 0000363407 scopus 로고
    • Structural tensors for anisotropic solids
    • Zhang, J.M.; Rychlewski, J.: (1990) Structural tensors for anisotropic solids. Arch. Mech. 42: 267-277
    • (1990) Arch. Mech. , vol.42 , pp. 267-277
    • Zhang, J.M.1    Rychlewski, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.