메뉴 건너뛰기




Volumn 43, Issue 5, 2003, Pages 189-194

On the replacement of material-time derivative to corotational rate of yield function: Mathematical proof

Author keywords

Constitutive equation; Corotational rate; Elastoplasticity; Material time derivative; Objectivity; Yield (IGC: D6 E2)

Indexed keywords

BUILDING MATERIALS; ELASTOPLASTICITY; FUNCTIONS; PLASTIC FLOW; TENSORS;

EID: 5144234152     PISSN: 00380806     EISSN: None     Source Type: Journal    
DOI: 10.3208/sandf.43.5_189     Document Type: Article
Times cited : (7)

References (27)
  • 1
    • 19844367516 scopus 로고    scopus 로고
    • An elastoplastic description of two distinct volume change mechanisms of soils
    • Asaoka, A., Noda, T., Yamada, E., Kaneda, K. and Nakano, M. (2002): An elastoplastic description of two distinct volume change mechanisms of soils, Soils and Foundations, 47-58.
    • (2002) Soils and Foundations , pp. 47-58
    • Asaoka, A.1    Noda, T.2    Yamada, E.3    Kaneda, K.4    Nakano, M.5
  • 2
    • 0038112020 scopus 로고    scopus 로고
    • Some basic issues in traditional Eulerian formulations of finite elastoplasticity
    • Bruhns, O. T., Xiao, H. and Meyers, A. (2003): Some basic issues in traditional Eulerian formulations of finite elastoplasticity, Int. J. Plasticity, 19, 2007-2026.
    • (2003) Int. J. Plasticity , vol.19 , pp. 2007-2026
    • Bruhns, O.T.1    Xiao, H.2    Meyers, A.3
  • 3
    • 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, J. Appl. Mech. (ASME), 50, 651-565.
    • (1983) J. Appl. Mech. (ASME) , vol.50 , pp. 651-1565
    • Dafalias, Y.F.1
  • 5
    • 0022233240 scopus 로고
    • A missing link in the macroscopic constitutive formulation of large plastic deformations
    • Elsevier Appl. Sci. Publ., Ltd.
    • Dafalias, Y. F. (1985b): A missing link in the macroscopic constitutive formulation of large plastic deformations, Plasticity Today, Modelling, Methods and Applications, Elsevier Appl. Sci. Publ., Ltd., 135-151.
    • (1985) Plasticity Today, Modelling, Methods and Applications , pp. 135-151
    • Dafalias, Y.F.1
  • 6
    • 0040011269 scopus 로고
    • On multiple spins and texture development. Case study: Kinematic and orthotropic hardening
    • Dafalias, Y. F. (1993): On multiple spins and texture development. Case study: kinematic and orthotropic hardening, Acta Mechanica, 100, 171-194.
    • (1993) Acta Mechanica , vol.100 , pp. 171-194
    • Dafalias, Y.F.1
  • 7
    • 0032291386 scopus 로고    scopus 로고
    • Plastic spin: Necessity or redundancy
    • Dafalias, Y. F. (1998): Plastic spin: Necessity or redundancy, Int. J. Plasticity, 14, 909-932.
    • (1998) Int. J. Plasticity , vol.14 , pp. 909-932
    • Dafalias, Y.F.1
  • 8
    • 24744446097 scopus 로고
    • On the analysis of rotation and stress rate in deforming bodies
    • Dienes, J. K. (1979): On the analysis of rotation and stress rate in deforming bodies, Acta Mech., 65, 1-11.
    • (1979) Acta Mech. , vol.65 , pp. 1-11
    • Dienes, J.K.1
  • 9
    • 0010317971 scopus 로고
    • Some extension of elementary plasticity theory
    • Edlemann, F. and Drucker, D. C. (1951): Some extension of elementary plasticity theory, J. Franklin Inst., 251, 581-605.
    • (1951) J. Franklin Inst. , vol.251 , pp. 581-605
    • Edlemann, F.1    Drucker, D.C.2
  • 10
    • 34250970465 scopus 로고
    • A general theory of an elastic-plastic continuum
    • Green, A. E. and Naghdi, P. M. (1965): A general theory of an elastic-plastic continuum, Arch. Rational Mech. Anal., 13, 251-281.
    • (1965) Arch. Rational Mech. Anal. , vol.13 , pp. 251-281
    • Green, A.E.1    Naghdi, P.M.2
  • 13
    • 0032030947 scopus 로고    scopus 로고
    • Elastoplastic constitutive equations of soils with the subloading surface and the rotational hardening
    • Tucson
    • Hashiguchi, K. and Chen, Z.-P. (1998): Elastoplastic constitutive equations of soils with the subloading surface and the rotational hardening, Int. J. Numer. Anal. Meth. Geomech., 22, Tucson, 197-227.
    • (1998) Int. J. Numer. Anal. Meth. Geomech. , vol.22 , pp. 197-227
    • Hashiguchi, K.1    Chen, Z.-P.2
  • 14
    • 0011133190 scopus 로고    scopus 로고
    • Description of inherent/induced anisotropy of soils: Rotational hardening rule with objectivity
    • Hashiguchi, K. (2001): Description of inherent/induced anisotropy of soils: Rotational hardening rule with objectivity, Soils and Foundations, 41(6), 139-145.
    • (2001) Soils and Foundations , vol.41 , Issue.6 , pp. 139-145
    • Hashiguchi, K.1
  • 15
    • 0036801026 scopus 로고    scopus 로고
    • Evaluation of typical conventional and unconventional plasticity models for prediction of softening behavior of soils
    • Hashiguchi, K., Saitoh, K., Okayasu, T. and Tsutsumi, S. (2002): Evaluation of typical conventional and unconventional plasticity models for prediction of softening behavior of soils, Géotechnique, 52, 561-573.
    • (2002) Géotechnique , vol.52 , pp. 561-573
    • Hashiguchi, K.1    Saitoh, K.2    Okayasu, T.3    Tsutsumi, S.4
  • 16
    • 0001139138 scopus 로고
    • General theory of plasticity with linear strain hardening
    • Ishlinski, I. U. (1954): General theory of plasticity with linear strain hardening, Ukr. Math. Zh., 6, 314-324.
    • (1954) Ukr. Math. Zh. , vol.6 , pp. 314-324
    • Ishlinski, I.U.1
  • 17
    • 0001263923 scopus 로고
    • Geschlossenes System physicalisher und chemischer Differentialgesetze
    • Jaumann, G. (1911): Geschlossenes System physicalisher und chemischer Differentialgesetze, Sitzber. Akad. Wiss. Wien (IIa), 120, 385-530.
    • (1911) Sitzber. Akad. Wiss. Wien (IIa) , vol.120 , pp. 385-530
    • Jaumann, G.1
  • 18
    • 0015021219 scopus 로고
    • Finite-strain theory of crystalline elasticplastic materials
    • Kratochvil, J. (1971): Finite-strain theory of crystalline elasticplastic materials, J. Appl. Phys., 42, 1104-1108.
    • (1971) J. Appl. Phys. , vol.42 , pp. 1104-1108
    • Kratochvil, J.1
  • 19
    • 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. of Materials, 2, 287-304.
    • (1983) Mech. of Materials , vol.2 , pp. 287-304
    • Loret, B.1
  • 20
    • 24044445290 scopus 로고
    • Plastidite et viscoplasticite
    • Udine, Springer, Wien
    • Mandel, J. (1971): Plastidite et viscoplasticite, CISM Lectures Notes, (97), Udine, Springer, Wien.
    • (1971) CISM Lectures Notes , Issue.97
    • Mandel, J.1
  • 21
    • 0001086663 scopus 로고
    • On the formulation of rheological equations of state
    • Oldroyd, J. G. (1950): On the formulation of rheological equations of state, Proc. Roy. Soci. London, Ser. A, 200, 523-541.
    • (1950) Proc. Roy. Soci. London, Ser. A , vol.200 , pp. 523-541
    • Oldroyd, J.G.1
  • 22
    • 0029415872 scopus 로고
    • Shear band formation in sand according to non-coaxial plasticity model
    • Papamichos, E., Vardoulakis, I. (1995). Shear band formation in sand according to non-coaxial plasticity model, Géotechnique, 45, 649-661.
    • (1995) Géotechnique , vol.45 , pp. 649-661
    • Papamichos, E.1    Vardoulakis, I.2
  • 23
    • 0002698946 scopus 로고
    • The theory of plasticity: A survey of recent achievements
    • Prager, G. (1955): The theory of plasticity: A survey of recent achievements, Proc. Inst. Mech. Eng., 169, 41-57.
    • (1955) Proc. Inst. Mech. Eng. , vol.169 , pp. 41-57
    • Prager, G.1
  • 25
    • 0012841008 scopus 로고
    • Sur une forme perfectionee de la theorie de la relaxation
    • Zaremba, S. (1903a): Sur une forme perfectionee de la theorie de la relaxation, Bull. Int. Acad. Sci. Cracovie, 594-614.
    • (1903) Bull. Int. Acad. Sci. Cracovie , pp. 594-614
    • Zaremba, S.1
  • 26
    • 0342609546 scopus 로고
    • Le principe des mouvements relatifs et les equations de la mecanique physique
    • Zaremba, S. (1903b): Le principe des mouvements relatifs et les equations de la mecanique physique, Bull. Int. Acad. Sci. Cracovie, 614-621.
    • (1903) Bull. Int. Acad. Sci. Cracovie , pp. 614-621
    • Zaremba, S.1
  • 27
    • 0024134484 scopus 로고
    • On the concept of relative and plastic spins and its implications to large deformation theories. Part I: Hypoelasticity and vertex-type plasticity
    • Zbib, H. M. and Aifantis, E. C. (1988): On the concept of relative and plastic spins and its implications to large deformation theories. Part I: Hypoelasticity and vertex-type plasticity, Acta Mech., 75, 15-33.
    • (1988) Acta Mech. , vol.75 , pp. 15-33
    • Zbib, H.M.1    Aifantis, E.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.