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Volumn 134, Issue 3, 1999, Pages 217-234

Approximate analytical equations for the deformation of an inclusion in a viscoplastic matrix

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASPECT RATIO; DEFORMATION; MATHEMATICAL MODELS; STRAIN RATE; VARIATIONAL TECHNIQUES;

EID: 0032649733     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01312656     Document Type: Article
Times cited : (10)

References (40)
  • 2
    • 0027662303 scopus 로고
    • A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys
    • Lebensohn, R. A., Tomé, C. N.: A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys. Acta Metall. Mater. 41, 2611-2624 (1993).
    • (1993) Acta Metall. Mater. , vol.41 , pp. 2611-2624
    • Lebensohn, R.A.1    Tomé, C.N.2
  • 4
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion, and related problems
    • Eshelby, J. D.: The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. London Ser. A241, 376-396 (1957).
    • (1957) Proc. R. Soc. London Ser. , vol.A241 , pp. 376-396
    • Eshelby, J.D.1
  • 5
    • 0001085508 scopus 로고
    • The elastic field outside an ellipsoidal inclusion
    • Eshelby, J. D.: The elastic field outside an ellipsoidal inclusion. Proc. R. Soc. London Ser. A252, 561-569 (1959).
    • (1959) Proc. R. Soc. London Ser. , vol.A252 , pp. 561-569
    • Eshelby, J.D.1
  • 6
    • 84983831829 scopus 로고
    • Elastic fields of inclusions in anisotropic media
    • Kinoshita, N., Mura, T.: Elastic fields of inclusions in anisotropic media. Phys. Stat. Solids 5, 759-768 (1971).
    • (1971) Phys. Stat. Solids , vol.5 , pp. 759-768
    • Kinoshita, N.1    Mura, T.2
  • 7
    • 0017417090 scopus 로고
    • The determination of stress and strain concentrations at an ellipsoidal inclusion in an anisotropic material
    • Laws, N.: The determination of stress and strain concentrations at an ellipsoidal inclusion in an anisotropic material. J. Elasticity 7, 91-97 (1977).
    • (1977) J. Elasticity , vol.7 , pp. 91-97
    • Laws, N.1
  • 8
    • 0016579967 scopus 로고
    • The change of shape of a viscous ellipsoidal region embedded in a slowly deforming matrix having a different viscosity
    • Bilby, B. A., Eshelby, J. D., Kundu, A. K.: The change of shape of a viscous ellipsoidal region embedded in a slowly deforming matrix having a different viscosity. Tectonophysics 28, 265-274 (1975).
    • (1975) Tectonophysics , vol.28 , pp. 265-274
    • Bilby, B.A.1    Eshelby, J.D.2    Kundu, A.K.3
  • 9
    • 0017269560 scopus 로고
    • On the finite deformation of an inhomogeneity in a viscous liquid
    • Howard, I. C., Brierley, P.: On the finite deformation of an inhomogeneity in a viscous liquid. Int. J. Eng. Sci. 14, 1151-1159 (1976).
    • (1976) Int. J. Eng. Sci. , vol.14 , pp. 1151-1159
    • Howard, I.C.1    Brierley, P.2
  • 10
    • 0021590430 scopus 로고
    • Champs de vitesses et de contraintes autour d'une inclusion cylindrique en traction ou compression plane (calcul analytique)
    • Gilormini, P., Montheillet, F.: Champs de vitesses et de contraintes autour d'une inclusion cylindrique en traction ou compression plane (calcul analytique). J. Méc. Théor. Appl. 3, 563-576 (1984).
    • (1984) J. Méc. Théor. Appl. , vol.3 , pp. 563-576
    • Gilormini, P.1    Montheillet, F.2
  • 11
    • 0022497394 scopus 로고
    • Deformation of an inclusion in a viscous matrix and induced stress concentrations
    • Gilormini, P., Montheillet, F.: Deformation of an inclusion in a viscous matrix and induced stress concentrations. J. Mech. Phys. Solids 34, 97-123 (1986).
    • (1986) J. Mech. Phys. Solids , vol.34 , pp. 97-123
    • Gilormini, P.1    Montheillet, F.2
  • 13
    • 0021504978 scopus 로고
    • A self-consistent analysis of the stiffening effect of rigid inclusions on a power-law material
    • Duva, J. M.: A self-consistent analysis of the stiffening effect of rigid inclusions on a power-law material. J. Eng. Mater. Technol. 106, 317-321 (1984).
    • (1984) J. Eng. Mater. Technol. , vol.106 , pp. 317-321
    • Duva, J.M.1
  • 14
    • 0021593132 scopus 로고
    • Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
    • Weng, G. J.: Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions. Int. J. Eng. Sci. 22, 845-856 (1984).
    • (1984) Int. J. Eng. Sci. , vol.22 , pp. 845-856
    • Weng, G.J.1
  • 15
    • 0026908813 scopus 로고
    • Effective properties of power-law solids containing elliptical inhomogeneities. Part I: Rigid inclusions
    • Lee, B. J., Mear, M. E.: Effective properties of power-law solids containing elliptical inhomogeneities. Part I: Rigid inclusions. Mech. Mater. 13, 313-335 (1992).
    • (1992) Mech. Mater. , vol.13 , pp. 313-335
    • Lee, B.J.1    Mear, M.E.2
  • 16
    • 85013539982 scopus 로고
    • On the mechanics of plastic deformation in metal matrix composites
    • Voyiadjis, G. Z., Ju, J. W., eds. The Netherlands: Elsevier
    • Zbib, H. M., Zhu, H. T.: On the mechanics of plastic deformation in metal matrix composites. In: Inelasticity and micromechanics of metal matrix composites (Voyiadjis, G. Z., Ju, J. W., eds.) pp. 97-118. The Netherlands: Elsevier 1994.
    • (1994) Inelasticity and Micromechanics of Metal Matrix Composites , pp. 97-118
    • Zbib, H.M.1    Zhu, H.T.2
  • 17
    • 0029220878 scopus 로고
    • A macroscopic model for plastic flow in metalmatrix composites
    • Zhu, H. T., Zbib, H. M.: A macroscopic model for plastic flow in metalmatrix composites. Int. J. Plasticity 11, 471-499 (1995).
    • (1995) Int. J. Plasticity , vol.11 , pp. 471-499
    • Zhu, H.T.1    Zbib, H.M.2
  • 18
    • 0030126536 scopus 로고    scopus 로고
    • The finite deformation of nonlinear composite materials - II. Evolution of the microstructure
    • Zaidman, M., Ponte Castañeda, P.: The finite deformation of nonlinear composite materials - II. Evolution of the microstructure. Int. J. Solids Struct. 33, 1287-1303 (1996).
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 1287-1303
    • Zaidman, M.1    Ponte Castañeda, P.2
  • 19
    • 0026202184 scopus 로고
    • Particle reinforcement of ductile matrices against plastic flow and creep
    • Bao, G., Hutchinson, J. W., McMeeking, R. M.: Particle reinforcement of ductile matrices against plastic flow and creep. Acta Metall. Mater. 39, 1871-1882 (1991).
    • (1991) Acta Metall. Mater. , vol.39 , pp. 1871-1882
    • Bao, G.1    Hutchinson, J.W.2    McMeeking, R.M.3
  • 20
    • 0026242115 scopus 로고
    • The flow stress of dual phase, no hardening solids
    • Bao, G., Hutchinson, J. W., McMeeking, R. M.: The flow stress of dual phase, no hardening solids. Mech. Mater. 12, 85-94 (1991).
    • (1991) Mech. Mater. , vol.12 , pp. 85-94
    • Bao, G.1    Hutchinson, J.W.2    McMeeking, R.M.3
  • 21
    • 0025508175 scopus 로고
    • Geometric factors affecting the international stress distribution and high temperature creep rate of discontinuous fiber reinforced metals
    • Dragone, T. L., Nix, W. D.: Geometric factors affecting the international stress distribution and high temperature creep rate of discontinuous fiber reinforced metals. Acta Metall. Mater. 38, 1941-1953 (1990).
    • (1990) Acta Metall. Mater. , vol.38 , pp. 1941-1953
    • Dragone, T.L.1    Nix, W.D.2
  • 22
    • 0029342893 scopus 로고
    • Heterogeneity of plastic strain around an ellipsoidal inclusion in an ideal plastic matrix
    • Van Houtte, P.: Heterogeneity of plastic strain around an ellipsoidal inclusion in an ideal plastic matrix. Acta Metall. Mater. 43, 2859-2879 (1995).
    • (1995) Acta Metall. Mater. , vol.43 , pp. 2859-2879
    • Van Houtte, P.1
  • 23
    • 0021393048 scopus 로고
    • Constitutive potentials for dilutely voided nonlinear materials
    • Duva, J. M., Hutchinson, J. W.: Constitutive potentials for dilutely voided nonlinear materials. Mech. Mater. 3, 41-54 (1984).
    • (1984) Mech. Mater. , vol.3 , pp. 41-54
    • Duva, J.M.1    Hutchinson, J.W.2
  • 24
    • 85006832512 scopus 로고
    • Accurate dilatation rates for spherical voids in triaxial stress fields
    • Huang, Y.: Accurate dilatation rates for spherical voids in triaxial stress fields. J. Appl. Mech. 58, 1084-1086 (1991).
    • (1991) J. Appl. Mech. , vol.58 , pp. 1084-1086
    • Huang, Y.1
  • 25
    • 44049113240 scopus 로고
    • Axisymmetric deformation of power law solids containing a dilute concentration of aligned spheroidal voids
    • Lee, B. J., Mear, M. E.: Axisymmetric deformation of power law solids containing a dilute concentration of aligned spheroidal voids. J. Mech. Phys. Solids 40, 1805-1836 (1992).
    • (1992) J. Mech. Phys. Solids , vol.40 , pp. 1805-1836
    • Lee, B.J.1    Mear, M.E.2
  • 26
    • 0029720576 scopus 로고    scopus 로고
    • Velocity, strain rate and stress fields around a spheroidal cavity in a linearly viscous material
    • Klöcker, H., Montheillet, F.: Velocity, strain rate and stress fields around a spheroidal cavity in a linearly viscous material. Eur. J. Mech. A/Solids 15, 397-422 (1996).
    • (1996) Eur. J. Mech. A/Solids , vol.15 , pp. 397-422
    • Klöcker, H.1    Montheillet, F.2
  • 30
    • 0001704241 scopus 로고
    • A simplified self-consistent scheme for two-phase metals plasticity
    • Berveiller, M., Zaoui, A.: A simplified self-consistent scheme for two-phase metals plasticity. Res. Mech. Lett. 1, 119-124 (1981).
    • (1981) Res. Mech. Lett. , vol.1 , pp. 119-124
    • Berveiller, M.1    Zaoui, A.2
  • 31
    • 49749215641 scopus 로고
    • Continuum micromechanics of elastoplastic polycrystals
    • Hill, R.: Continuum micromechanics of elastoplastic polycrystals. J. Mech. Phys. Solids 13, 89-101 (1965).
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 89-101
    • Hill, R.1
  • 32
    • 0000385898 scopus 로고
    • Bounds and sell-consistent estimates for creep of polycrystalline materials
    • Hutchinson, J. W.: Bounds and sell-consistent estimates for creep of polycrystalline materials. Proc. R. Soc. London Ser. A348, 101-127 (1976).
    • (1976) Proc. R. Soc. London Ser. , vol.A348 , pp. 101-127
    • Hutchinson, J.W.1
  • 33
    • 0023565321 scopus 로고
    • A self-consistent approach of the large deformation polycrystal viscoplasticity
    • Molinari, A., Canova, G. R., Ahzi, S.: A self-consistent approach of the large deformation polycrystal viscoplasticity. Acta Metall. 35, 2983-2994 (1987).
    • (1987) Acta Metall. , vol.35 , pp. 2983-2994
    • Molinari, A.1    Canova, G.R.2    Ahzi, S.3
  • 34
    • 0028464796 scopus 로고
    • Tuning a self consistent viscoplastic model by finite element results - I. Modeling
    • Molinari, A., Tóth, L. S.: Tuning a self consistent viscoplastic model by finite element results - I. Modeling. Acta Metall. Mater. 42, 2453-2458 (1994).
    • (1994) Acta Metall. Mater. , vol.42 , pp. 2453-2458
    • Molinari, A.1    Tóth, L.S.2
  • 35
    • 0023168118 scopus 로고
    • A finite element analysis of the inclusion problem for power law viscous materials
    • Gilormini, P., Germain, Y.: A finite element analysis of the inclusion problem for power law viscous materials. Int. J. Solids Struct. 23, 413-437 (1987).
    • (1987) Int. J. Solids Struct. , vol.23 , pp. 413-437
    • Gilormini, P.1    Germain, Y.2
  • 36
    • 0002753646 scopus 로고
    • New horizons in the mechanics of solids
    • Hill, R.: New horizons in the mechanics of solids. J. Mech. Phys. Solids 5, 66-74 (1956).
    • (1956) J. Mech. Phys. Solids , vol.5 , pp. 66-74
    • Hill, R.1
  • 37
    • 0001781682 scopus 로고
    • Void growth and collapse in viscous solids
    • Hopkins, H. G., Sewell, M. J., eds. Oxford: Pergamon Press
    • Budiansky, B., Hutchinson, J. W., Slutsky, S.: Void growth and collapse in viscous solids. In: Mechanics of solids (Hopkins, H. G., Sewell, M. J., eds.). pp. 13-44. Oxford: Pergamon Press 1982.
    • (1982) Mechanics of Solids , pp. 13-44
    • Budiansky, B.1    Hutchinson, J.W.2    Slutsky, S.3
  • 38
    • 0000322375 scopus 로고
    • Effect of inclusion shape on the stiffness of nonlinear two phase composites
    • Lee, B. J., Mear, M. E.: Effect of inclusion shape on the stiffness of nonlinear two phase composites. J. Mech. Phys. Solids 39, 627-649 (1991).
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 627-649
    • Lee, B.J.1    Mear, M.E.2
  • 39
    • 85038068048 scopus 로고
    • Prévision des hétérogénéités de déformation dans un agrégat de deux phases viscoplastiques. 6éme Colloque Franco-Polonais «hétérogénéités de déformation plastique»
    • Ecole des Mines, Saint-Etienne in press
    • Montheillet, F., Briottet, L.: Prévision des hétérogénéités de déformation dans un agrégat de deux phases viscoplastiques. 6éme Colloque Franco-Polonais «Hétérogénéités de déformation plastique», Ecole des Mines, Saint-Etienne (1995), Rev. Métall.-Science et Génie des Matériaux (in press).
    • (1995) Rev. Métall.-Science et Génie des Matériaux
    • Montheillet, F.1    Briottet, L.2


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