메뉴 건너뛰기




Volumn 213, Issue 1-2, 2010, Pages 27-38

A thermodynamic framework for a gradient theory of continuum damage

Author keywords

[No Author keywords available]

Indexed keywords

BALANCE LAW; CONTINUUM DAMAGE; COUPLED TRANSPORT EQUATIONS; DAMAGE EVOLUTION; GRADIENT THEORY; INTERNAL DAMAGES; LENGTH SCALE; MICROFORCES; NUMERICAL INSTABILITY; STATE VARIABLES; STRONG COUPLING; TEMPORAL EVOLUTION; THEORETICAL FRAMEWORK; THERMODYNAMIC FRAMEWORK;

EID: 77954957039     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-009-0200-5     Document Type: Conference Paper
Times cited : (12)

References (25)
  • 1
    • 77954954040 scopus 로고    scopus 로고
    • A coupled dislocation-hydrogen based model of inelastic deformation of metals and alloys
    • submitted
    • Bammann, D. J., Novak, P., Sofronis, P., Somerday, B.: A coupled dislocation-hydrogen based model of inelastic deformation of metals and alloys. JMPS (2009, submitted)
    • (2009) JMPS
    • Bammann, D.J.1    Novak, P.2    Sofronis, P.3    Somerday, B.4
  • 3
    • 0014894481 scopus 로고
    • A strain gradient theory of plasticity
    • Dillon, O. W., Kratochvil, J.: A strain gradient theory of plasticity. Int. J. Solids Struct. 6, 1533-1566 (1970)
    • (1970) Int. J. Solids Struct , vol.6 , pp. 1533-1566
    • Dillon, O.W.1    Kratochvil, J.2
  • 4
    • 0018727139 scopus 로고
    • Non-linear theory of elastic-materials with voids
    • Nunziato, J. W., Cowin, S. C.: Non-linear theory of elastic-materials with voids. Arch. Ration. Mech. Anal. 72 (2), 175-201 (1979)
    • (1979) Arch. Ration. Mech. Anal. , vol.72 , Issue.2 , pp. 175-201
    • Nunziato, J.W.1    Cowin, S.C.2
  • 6
    • 0020245115 scopus 로고
    • On a proposal for a continuum with microstructure
    • Bammann, D. J., Aifantis, E. C.: On a proposal for a continuum with microstructure. Acta Mech. 45 (1-2), 91-121 (1982)
    • (1982) Acta Mech. , vol.45 , Issue.1-2 , pp. 91-121
    • Bammann, D.J.1    Aifantis, E.C.2
  • 7
    • 0021607477 scopus 로고
    • On the microstructural origin of certain inelastic models
    • Aifantis, E. C.: On the microstructural origin of certain inelastic models. Trans. ASME J. Eng. Mater. Technol. 95, 215-229 (1984)
    • (1984) Trans. ASME J. Eng. Mater. Technol. , vol.95 , pp. 215-229
    • Aifantis, E.C.1
  • 8
    • 0020893421 scopus 로고
    • An internal variable model of visco-plasticity
    • Bammann, D. J.: An internal variable model of visco-plasticity. Int. J. Eng. Sci. 22, 1041-1053 (1984)
    • (1984) Int. J. Eng. Sci. , vol.22 , pp. 1041-1053
    • Bammann, D.J.1
  • 9
    • 0024858446 scopus 로고
    • An internal variable constitutive model for hot-working of metals
    • Brown, S. B., Kim, K. H., Anand, L.: An internal variable constitutive model for hot-working of metals. Int. J. Plast. 5 (2), 95-130 (1989)
    • (1989) Int. J. Plast. , vol.5 , Issue.2 , pp. 95-130
    • Brown, S.B.1    Kim, K.H.2    Anand, L.3
  • 10
    • 0026887339 scopus 로고
    • A bounding surface theory for cyclic thermoplasticity
    • McDowell, D. L.: A bounding surface theory for cyclic thermoplasticity. J. Eng. Mater. Technol. Trans. ASME 114 (3), 297-303 (1992)
    • (1992) J. Eng. Mater. Technol. Trans. ASME , vol.114 , Issue.3 , pp. 297-303
    • McDowell, D.L.1
  • 11
    • 0026761985 scopus 로고
    • On the gradient-dependent theory of plasticity and shear banding
    • Zbib, H. M., Aifantis, E. C.: On the gradient-dependent theory of plasticity and shear banding. Acta Mech. 92, 209-225 (1992)
    • (1992) Acta Mech. , vol.92 , pp. 209-225
    • Zbib, H.M.1    Aifantis, E.C.2
  • 12
    • 0027841038 scopus 로고
    • A phenomenological theory for strain gradient effects in plasticity
    • Fleck, N. A., Hutchinson, J. W.: A phenomenological theory for strain gradient effects in plasticity. J. Mech. Phys. Solids 30, 1825-1857 (1993)
    • (1993) J. Mech. Phys. Solids , vol.30 , pp. 1825-1857
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 13
    • 0029289830 scopus 로고
    • Effects of nonlocal damage in porous plastic solids
    • Tvergaard, V., Needleman, A.: Effects of nonlocal damage in porous plastic solids. Int. J. Solids Struct. 32 (8-9), 1063-1077 (1995)
    • (1995) Int. J. Solids Struct , vol.32 , Issue.8-9 , pp. 1063-1077
    • Tvergaard, V.1    Needleman, A.2
  • 14
    • 0001158204 scopus 로고    scopus 로고
    • Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
    • Gurtin, M.: Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Physica D 92, 178-192 (1996)
    • (1996) Physica D , vol.92 , pp. 178-192
    • Gurtin, M.1
  • 15
    • 0032020971 scopus 로고    scopus 로고
    • Indentation size effects in crystalline materials: A law for strain gradient plasticity
    • Nix, W. D., Gao, H. J.: Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46 (3), 411-425 (1998)
    • (1998) J. Mech. Phys. Solids , vol.46 , Issue.3 , pp. 411-425
    • Nix, W.D.1    Gao, H.J.2
  • 16
    • 0032155920 scopus 로고    scopus 로고
    • Finite-element implementation of gradient plasticity models: Part I: Gradient-dependent yield functions
    • Ramaswamy, S., Aravas, N.: Finite-element implementation of gradient plasticity models: Part I: gradient-dependent yield functions. Comput. Methods Appl. Mech. Eng. 163 (1-4), 11-32 (1998)
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.163 , Issue.1-4 , pp. 11-32
    • Ramaswamy, S.1    Aravas, N.2
  • 17
    • 0343337643 scopus 로고    scopus 로고
    • On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
    • Gurtin, M.: On the plasticity of single crystals: free energy, microforces, plastic-strain gradients. JMPS 48, 989-1036 (2000)
    • (2000) JMPS , vol.48 , pp. 989-1036
    • Gurtin, M.1
  • 18
    • 0012981783 scopus 로고    scopus 로고
    • A nonlocal phenomenological anisotropic finite deformation plasticity model accounting for dislocation defects
    • Regueiro, R. A., Bammann, D. J., Marin, E. B., Garikipati, V.: A nonlocal phenomenological anisotropic finite deformation plasticity model accounting for dislocation defects. J. Eng. Mater. Technol. Trans. ASME 124, 380-387 (2002)
    • (2002) J. Eng. Mater. Technol. Trans. ASME , vol.124 , pp. 380-387
    • Regueiro, R.A.1    Bammann, D.J.2    Marin, E.B.3    Garikipati, V.4
  • 19
    • 0347987821 scopus 로고    scopus 로고
    • Plasticity at the micron scale
    • Hutchinson, J. W.: Plasticity at the micron scale. Int. J. Solids Struct. 37, 225-238 (2000)
    • (2000) Int. J. Solids Struct , vol.37 , pp. 225-238
    • Hutchinson, J.W.1
  • 20
    • 0347604341 scopus 로고    scopus 로고
    • A multiscale gradient theory for single crystalline elastoviscoplasticity
    • Clayton, J. D., McDowell, D. L, Bammann, D. J.: A multiscale gradient theory for single crystalline elastoviscoplasticity. Int. J. Eng. Sci. 42, 427-457 (2004)
    • (2004) Int. J. Eng. Sci. , vol.42 , pp. 427-457
    • Clayton, J.D.1    McDowell, D.L.2    Bammann, D.J.3
  • 21
    • 77954956138 scopus 로고    scopus 로고
    • On kinematic, thermodynamic and coupling of a damage theory for polycrystalline material
    • submitted
    • Bammann, D. J., Solanki, K. N.: On kinematic, thermodynamic and coupling of a damage theory for polycrystalline material. IJP (2009, submitted)
    • (2009) IJP
    • Bammann, D.J.1    Solanki, K.N.2
  • 22
    • 34250963757 scopus 로고
    • The thermodynamics of elastic materials with heat conduction and viscosity
    • Coleman, B. D., Noll, W.: The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Ration. Mech. Anal. 13, 167-178 (1963)
    • (1963) Arch. Ration. Mech. Anal. , vol.13 , pp. 167-178
    • Coleman, B.D.1    Noll, W.2
  • 23
    • 0000063685 scopus 로고
    • Continuum theory of thermally induced phase transitions based on an order parameter
    • Fried, E., Gurtin, M. E.: Continuum theory of thermally induced phase transitions based on an order parameter. Physica D 68, 326-343 (1993)
    • (1993) Physica D , vol.68 , pp. 326-343
    • Fried, E.1    Gurtin, M.E.2
  • 25
    • 0035879740 scopus 로고    scopus 로고
    • A model of crystal plasticity containing a natural length scale
    • Bammann, D. J.: A model of crystal plasticity containing a natural length scale. Math. Sci. Eng. A309-A 310, 406-410 (2001)
    • (2001) Math. Sci. Eng. A309-A , vol.310 , pp. 406-410
    • Bammann, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.