메뉴 건너뛰기




Volumn 40, Issue 4, 2000, Pages 155-161

Fundamentals in constitutive equation: Continuity and smoothness conditions and loading criterion

Author keywords

(Loading criterion); (Subloading surface model) (IGC: D6 E2); Constitutive equation of soil; Elasticity; Plasticity; Stress

Indexed keywords


EID: 0000463001     PISSN: 00380806     EISSN: None     Source Type: Journal    
DOI: 10.3208/sandf.40.4_155     Document Type: Article
Times cited : (56)

References (32)
  • 1
    • 84998296197 scopus 로고
    • The plastic spin
    • Dafalias, Y. F. (1985): "The plastic spin," J. Appl. Mech. (ASME), Vol. 52, pp. 865-871.
    • (1985) J. Appl. Mech. (ASME) , vol.52 , pp. 865-871
    • Dafalias, Y.F.1
  • 2
    • 0016429001 scopus 로고
    • A model of nonlinearly hardening materials for complex loading
    • Dafalias, Y. F. and Popov, E. P. (1975): "A model of nonlinearly hardening materials for complex loading," Acta Mech., Vol. 23, pp. 173-192.
    • (1975) Acta Mech. , vol.23 , pp. 173-192
    • Dafalias, Y.F.1    Popov, E.P.2
  • 3
    • 0017478207 scopus 로고
    • Cyclic loading for materials with a vanishing elastic domain
    • Dafalias, Y. F. and Popov, E. P. (1977): "Cyclic loading for materials with a vanishing elastic domain," Nucl. Enrg. Design, Vol. 41, pp. 293-302.
    • (1977) Nucl. Enrg. Design , vol.41 , pp. 293-302
    • Dafalias, Y.F.1    Popov, E.P.2
  • 4
    • 0017996529 scopus 로고
    • A rate-type constitutive model for soil with a critical state
    • Davis, R. O. and Mullenger, G. (1978): "A rate-type constitutive model for soil with a critical state," Int. J. Numer. Anal. Meth. Geomech., Vol. 2, pp. 255-282.
    • (1978) Int. J. Numer. Anal. Meth. Geomech. , vol.2 , pp. 255-282
    • Davis, R.O.1    Mullenger, G.2
  • 5
    • 0019362595 scopus 로고
    • Hypo-elastic model for soils
    • Dragusin, L. (1981): "Hypo-elastic model for soils," Int. J. Enrg. Sci., Vol. 19, pp. 511-532.
    • (1981) Int. J. Enrg. Sci. , vol.19 , pp. 511-532
    • Dragusin, L.1
  • 6
    • 84918742959 scopus 로고
    • Conventional and unconventional plastic response and representation
    • Drucker, D. C. (1988): "Conventional and unconventional plastic response and representation," Appl. Mech. Rev. (ASME), Vol. 41, pp. 151-167.
    • (1988) Appl. Mech. Rev. (ASME) , vol.41 , pp. 151-167
    • Drucker, D.C.1
  • 7
    • 0042613821 scopus 로고
    • On the mathematical behavior of metals in the strain-hardening range
    • Handelman, G. H., Lin, C. C. and Prager, W. (1947): "On the mathematical behavior of metals in the strain-hardening range," Quart. Appl. Mech., Vol. 4, pp. 397-407.
    • (1947) Quart. Appl. Mech. , vol.4 , pp. 397-407
    • Handelman, G.H.1    Lin, C.C.2    Prager, W.3
  • 9
    • 0019022440 scopus 로고
    • Constitutive equations of elastoplastic materials with elastic-plastic transition
    • Hashiguchi, K. (1980): "Constitutive equations of elastoplastic materials with elastic-plastic transition," J. Appl. Mech. (ASME), Vol. 47, pp. 266-272.
    • (1980) J. Appl. Mech. (ASME) , vol.47 , pp. 266-272
    • Hashiguchi, K.1
  • 10
    • 0019573120 scopus 로고
    • Constitutive equations of elastoplastic materials with anisotropic hardening and elastic-plastic transition
    • Hashiguchi, K. (1981): "Constitutive equations of elastoplastic materials with anisotropic hardening and elastic-plastic transition," J. Appl. Mech. (ASME), Vol. 48, pp. 297-301.
    • (1981) J. Appl. Mech. (ASME) , vol.48 , pp. 297-301
    • Hashiguchi, K.1
  • 11
    • 38249031958 scopus 로고
    • A mathematical modification of two surface model formulation in plasticity
    • Hashiguchi, K. (1988): "A mathematical modification of two surface model formulation in plasticity," Int. J. Solids & Struct., Vol. 24, pp. 987-1001.
    • (1988) Int. J. Solids & Struct. , vol.24 , pp. 987-1001
    • Hashiguchi, K.1
  • 12
    • 0024899003 scopus 로고
    • Subloading surface model in unconventional plasticity
    • Hashiguchi, K. (1989): "Subloading surface model in unconventional plasticity," Int. J. Solids & Struct., Vol. 25, pp. 917-945.
    • (1989) Int. J. Solids & Struct. , vol.25 , pp. 917-945
    • Hashiguchi, K.1
  • 13
    • 0027166523 scopus 로고
    • Fundamental requirements and formulation of elastoplastic constitutive equations with tangential plasticity
    • Hashiguchi, K. (1993a): "Fundamental requirements and formulation of elastoplastic constitutive equations with tangential plasticity," Int. J. Plasticity, Vol. 9, pp. 525-549.
    • (1993) Int. J. Plasticity , vol.9 , pp. 525-549
    • Hashiguchi, K.1
  • 14
    • 0027247208 scopus 로고
    • Mechanical requirements and structures of cyclic plasticity models
    • Hashiguchi, K. (1993b): "Mechanical requirements and structures of cyclic plasticity models," Int. J. Plasticity, Vol. 9, pp. 721-748.
    • (1993) Int. J. Plasticity , vol.9 , pp. 721-748
    • Hashiguchi, K.1
  • 15
    • 0028743109 scopus 로고
    • On the loading criterion
    • Hashiguchi, K. (1994): "On the loading criterion," Int. J. Plasticity, Vol. 10, pp. 871-878.
    • (1994) Int. J. Plasticity , vol.10 , pp. 871-878
    • Hashiguchi, K.1
  • 16
    • 0030643530 scopus 로고    scopus 로고
    • The extended flow rule in plasticity
    • Hashiguchi, K. (1997): "The extended flow rule in plasticity," Int. J. Plasticity, Vol. 13, pp. 37-58.
    • (1997) Int. J. Plasticity , vol.13 , pp. 37-58
    • Hashiguchi, K.1
  • 17
    • 0032030947 scopus 로고    scopus 로고
    • Elastoplastic constitutive equation of soils with the subloading surface and the rotational hardening
    • Hashiguchi, K. and Chen, Z.-P. (1998): "Elastoplastic constitutive equation of soils with the subloading surface and the rotational hardening," Int. J. Numer. Anal. Meth. Geomech., Vol. 22, pp. 197-227.
    • (1998) Int. J. Numer. Anal. Meth. Geomech. , vol.22 , pp. 197-227
    • Hashiguchi, K.1    Chen, Z.-P.2
  • 19
    • 27744574041 scopus 로고
    • A general theory of uniqueness and stability in elastic-plastic solids
    • Hill, R. (1958): "A general theory of uniqueness and stability in elastic-plastic solids," J. Mech. Phys. Solids, Vol. 6, pp. 236-249.
    • (1958) J. Mech. Phys. Solids , vol.6 , pp. 236-249
    • Hill, R.1
  • 20
    • 0000370229 scopus 로고
    • On the classical constitutive relations for elastic/ plastic solids
    • John-Wiley & Sons, Chichester
    • Hill, R. (1967): "On the classical constitutive relations for elastic/ plastic solids," Recent Progress in Appl. Mech. (The Folke Odqvist Volume), John-Wiley & Sons, Chichester, pp. 241-249.
    • (1967) Recent Progress in Appl. Mech. (The Folke Odqvist Volume) , pp. 241-249
    • Hill, R.1
  • 21
    • 84986777426 scopus 로고
    • On a class of models for the yielding behavior of continuous and composite systems
    • Iwan, W. D. (1967): "On a class of models for the yielding behavior of continuous and composite systems," J. Appl. Mech. (ASME), Vol. 34, pp. 612-617.
    • (1967) J. Appl. Mech. (ASME) , vol.34 , pp. 612-617
    • Iwan, W.D.1
  • 22
    • 0016556829 scopus 로고
    • A practical two surface plasticity theory
    • Krieg, R. D. (1975): "A practical two surface plasticity theory," J. Appl. Mech. (ASME), Vol. 42, pp. 641-646.
    • (1975) J. Appl. Mech. (ASME) , vol.42 , pp. 641-646
    • Krieg, R.D.1
  • 23
    • 0017551518 scopus 로고
    • Accuracies of numerical solution methods for the elastic-perfectly plastic models
    • Krieg, R. D. and Krieg, D. B. (1977): "Accuracies of numerical solution methods for the elastic-perfectly plastic models," J. Pres-sure Vessel Tech. (ASME), Vol. 99, pp. 510-515.
    • (1977) J. Pres-sure Vessel Tech. (ASME) , vol.99 , pp. 510-515
    • Krieg, R.D.1    Krieg, D.B.2
  • 24
    • 49949145407 scopus 로고
    • On the description of anisotropic workhardening
    • Mroz, Z. (1967): "On the description of anisotropic workhardening," J. Mech. Phys. Solids, Vol. 15, pp. 163-175.
    • (1967) J. Mech. Phys. Solids , vol.15 , pp. 163-175
    • Mroz, Z.1
  • 25
    • 0018911578 scopus 로고
    • On hypoelasticity and plasticity approaches to constitutive model of inelastic behavior of soils
    • Mroz, Z. (1980): "On hypoelasticity and plasticity approaches to constitutive model of inelastic behavior of soils," J. Numer. Anal. Meth. Geomech., Vol. 4, pp. 45-55.
    • (1980) J. Numer. Anal. Meth. Geomech. , vol.4 , pp. 45-55
    • Mroz, Z.1
  • 26
    • 0019728735 scopus 로고
    • An anisotropic, critical state model for soils subjected to cyclic loading
    • Mroz, Z., Norris, V. A. and Zienchiewicz, O. C. (1981): "An anisotropic, critical state model for soils subjected to cyclic loading," Géotechnique, Vol. 31, pp. 451-469.
    • (1981) Géotechnique , vol.31 , pp. 451-469
    • Mroz, Z.1    Norris, V.A.2    Zienchiewicz, O.C.3
  • 27
    • 36849134770 scopus 로고
    • Recent development in the mathematical theory of plasticity
    • Prager, W. (1949): "Recent development in the mathematical theory of plasticity," J. Appl. Mech. (ASME), Vol. 20, pp. 235-241.
    • (1949) J. Appl. Mech. (ASME) , vol.20 , pp. 235-241
    • Prager, W.1
  • 28
    • 0022507699 scopus 로고
    • Use of a mean-normal large-strain elastic-plastic finite element solutions
    • Pillinger, I., Hartley, P., Sturgess, C. E. N. and Rowe, G. W. (1986): "Use of a mean-normal large-strain elastic-plastic finite element solutions," Int. J. Mech. Sci., Vol. 28, pp. 23-29.
    • (1986) Int. J. Mech. Sci. , vol.28 , pp. 23-29
    • Pillinger, I.1    Hartley, P.2    Sturgess, C.E.N.3    Rowe, G.W.4
  • 29
    • 0016354309 scopus 로고
    • A continuum theory for granular media with a critical state
    • Romano, M. (1974): "A continuum theory for granular media with a critical state," Arch. Mech., Vol. 26, pp. 1011-1028.
    • (1974) Arch. Mech. , vol.26 , pp. 1011-1028
    • Romano, M.1
  • 30
    • 0042613820 scopus 로고
    • Comportement elastoplastique des milieux pulverulents
    • Stuzt, P. (1973): "Comportement elastoplastique des milieux pulverulents," Science et Techniques de l'Armement, Vol. 47, pp. 475-499.
    • (1973) Science et Techniques de L'Armement , vol.47 , pp. 475-499
    • Stuzt, P.1
  • 31
    • 49949129124 scopus 로고
    • Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by finite element method
    • Yamada, Y., Yoshimura, N. and Sakurai, T. (1968): "Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by finite element method," Int. J. Mech. Sci., Vol. 10, pp. 343-354.
    • (1968) Int. J. Mech. Sci. , vol.10 , pp. 343-354
    • Yamada, Y.1    Yoshimura, N.2    Sakurai, T.3
  • 32
    • 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., Vol. 75, pp. 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.