메뉴 건너뛰기




Volumn 52, Issue 2, 2004, Pages 249-278

A selfconsistent formulation for the prediction of the anisotropic behavior of viscoplastic polycrystals with voids

Author keywords

Damage evolution; Plasticity; Polycrystal model; Self consistent; Voids

Indexed keywords

AGGREGATES; ANISOTROPY; CRYSTALLOGRAPHY; DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; FOURIER TRANSFORMS; INCLUSIONS; INTEGRATION; INVERSE PROBLEMS; MATRIX ALGEBRA; POROSITY; STRAIN RATE; STRESSES; TENSORS; VISCOPLASTICITY;

EID: 0348046433     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(03)00114-5     Document Type: Article
Times cited : (82)

References (36)
  • 1
    • 0027639585 scopus 로고
    • Rate-dependent ductile fracture model
    • Addessio F.L., Johnson J.N. Rate-dependent ductile fracture model. J. Appl. Phys. 74:1993;1640-1648.
    • (1993) J. Appl. Phys. , vol.74 , pp. 1640-1648
    • Addessio, F.L.1    Johnson, J.N.2
  • 2
    • 0023249472 scopus 로고
    • The problem of two plastic and heterogeneous inclusions in an anisotropic medium
    • Berveiller M., Fassi-Fehri O., Hihi A. The problem of two plastic and heterogeneous inclusions in an anisotropic medium. Int. J. Eng. Sci. 25:1987;691-709.
    • (1987) Int. J. Eng. Sci. , vol.25 , pp. 691-709
    • Berveiller, M.1    Fassi-Fehri, O.2    Hihi, A.3
  • 3
    • 0015329936 scopus 로고
    • Static and dynamic pore-collapse relations for ductile porous materials
    • Carroll M.M., Holt A.C. Static and dynamic pore-collapse relations for ductile porous materials. J. Appl. Phys. 43:1972;1626-1636.
    • (1972) J. Appl. Phys. , vol.43 , pp. 1626-1636
    • Carroll, M.M.1    Holt, A.C.2
  • 5
    • 0346762196 scopus 로고    scopus 로고
    • A dilatational plasticity theory for viscoplastic materials
    • submitted for publication
    • Chen, B., Huang, Y., Liu, C., Wu, P.D, MacEwen, S.R., 2002. A dilatational plasticity theory for viscoplastic materials. Eng. Fract. Mech., submitted for publication.
    • (2002) Eng. Fract. Mech.
    • Chen, B.1    Huang, Y.2    Liu, C.3    Wu, P.D.4    Macewen, S.R.5
  • 6
    • 0034677869 scopus 로고    scopus 로고
    • A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids
    • Garajeu M., Michel J.C., Suquet P. A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids. Comput. Methods in Appl. Mech. Eng. 183:2000;223-246.
    • (2000) Comput. Methods in Appl. Mech. Eng. , vol.183 , pp. 223-246
    • Garajeu, M.1    Michel, J.C.2    Suquet, P.3
  • 7
    • 0027700633 scopus 로고
    • Approximate models for ductile metals containing non-spherical voids-case of axisymmetric prolate ellipsoidal cavities
    • Golaganu M., Leblond J.B., Devaux J. Approximate models for ductile metals containing non-spherical voids-case of axisymmetric prolate ellipsoidal cavities. J. Mech. Phys. Solids. 41:1993;1723-1754.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1723-1754
    • Golaganu, M.1    Leblond, J.B.2    Devaux, J.3
  • 8
    • 0028460342 scopus 로고
    • Approximate models for ductile metals containing non-spherical voids-case of axisymmetric oblate ellipsoidal cavities
    • Golaganu M., Leblond J.B., Devaux J. Approximate models for ductile metals containing non-spherical voids-case of axisymmetric oblate ellipsoidal cavities. J. Eng. Mater. Tech. 116:1994;287-290.
    • (1994) J. Eng. Mater. Tech. , vol.116 , pp. 287-290
    • Golaganu, M.1    Leblond, J.B.2    Devaux, J.3
  • 9
    • 0017417249 scopus 로고
    • Continuum theory of ductile rupture by void nucleation and growth
    • Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth. J. Eng. Mater. Technol. 99:1977;2-15.
    • (1977) J. Eng. Mater. Technol. , vol.99 , pp. 2-15
    • Gurson, A.L.1
  • 10
    • 0000385898 scopus 로고
    • Bounds and self-consistent estimates for creep of polycrystalline materials
    • Hutchinson J.W. Bounds and self-consistent estimates for creep of polycrystalline materials. Proc. R. Soc. London A. 348:1976;101-127.
    • (1976) Proc. R. Soc. London A , vol.348 , pp. 101-127
    • Hutchinson, J.W.1
  • 11
    • 0000744814 scopus 로고
    • Tensile plasticity and ductile fracture
    • Johnson J.N., Addessio F.L. Tensile plasticity and ductile fracture. J. Appl. Phys. 64:1988;6699-6712.
    • (1988) J. Appl. Phys. , vol.64 , pp. 6699-6712
    • Johnson, J.N.1    Addessio, F.L.2
  • 12
    • 3042861389 scopus 로고    scopus 로고
    • The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites
    • Kailasam M., Ponte Castañeda P., Willis J.R. The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I - Theory. Trans. R. Soc. Lond. A. 355:1997;1835-1852.
    • (1997) I - Theory. Trans. R. Soc. Lond. A , vol.355 , pp. 1835-1852
    • Kailasam, M.1    Ponte Castañeda, P.2    Willis, J.R.3
  • 13
    • 3042896456 scopus 로고    scopus 로고
    • The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites
    • Kailasam M., Ponte Castañeda P., Willis J.R. The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. II - Examples. Trans. R. Soc. Lond. A. 355:1997;1853-1872.
    • (1997) II - Examples. Trans. R. Soc. Lond. A , vol.355 , pp. 1853-1872
    • Kailasam, M.1    Ponte Castañeda, P.2    Willis, J.R.3
  • 14
    • 0042971957 scopus 로고    scopus 로고
    • Porous metals with developing anisotropy: Constitutive models, computational issues and applications to deformation processing
    • Kailasam M., Aravas N., Ponte Castañeda P. Porous metals with developing anisotropy. constitutive models, computational issues and applications to deformation processing Comput. Model. Eng. Sci. 1:2000;105-118.
    • (2000) Comput. Model. Eng. Sci. , vol.1 , pp. 105-118
    • Kailasam, M.1    Aravas, N.2    Ponte Castañeda, P.3
  • 15
    • 0031234630 scopus 로고    scopus 로고
    • A selfconsistent approach for modelling texture development of two-phase polycrystals: Application to titanium alloys
    • Lebensohn R.A., Canova G.R. A selfconsistent approach for modelling texture development of two-phase polycrystals. application to titanium alloys Acta Mater. 45:1997;3687-3694.
    • (1997) Acta Mater. , vol.45 , pp. 3687-3694
    • Lebensohn, R.A.1    Canova, G.R.2
  • 16
    • 0027662303 scopus 로고
    • A selfconsistent approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys
    • Lebensohn R.A., Tomé C.N. A selfconsistent approach for the simulation of plastic deformation and texture development of polycrystals. application to zirconium alloys Acta Metall. Mater. 41:1993;2611-2624.
    • (1993) Acta Metall. Mater. , vol.41 , pp. 2611-2624
    • Lebensohn, R.A.1    Tomé, C.N.2
  • 18
    • 0032115033 scopus 로고    scopus 로고
    • Calculation of intergranular stresses based on a large strain viscoplastic selfconsistent polycrystal model
    • Lebensohn R.A., Turner P.A., Signorelli J.W., Canova G.R., Tomé C.N. Calculation of intergranular stresses based on a large strain viscoplastic selfconsistent polycrystal model. Mod. Sim. Mater. Sci. Eng. 6:1998;447-465.
    • (1998) Mod. Sim. Mater. Sci. Eng. , vol.6 , pp. 447-465
    • Lebensohn, R.A.1    Turner, P.A.2    Signorelli, J.W.3    Canova, G.R.4    Tomé, C.N.5
  • 19
    • 84858651348 scopus 로고    scopus 로고
    • An extended self-consistent visco-plastic polycrystal formulation: Application to polycrystals with voids
    • Lebensohn, R.A., Tomé, C.N., Maudlin, P.J., 2003. An extended self-consistent visco-plastic polycrystal formulation: application to polycrystals with voids. Los Alamos National Laboratory Internal Report LA-UR-03-1193 (electronic version available at: http://www.lanl.gov/mst/voids.shtml ).
    • (2003) Los Alamos National Laboratory Internal Report , vol.LA-UR-03-1193
    • Lebensohn, R.A.1    Tomé, C.N.2    Maudlin, P.J.3
  • 20
    • 0348023291 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. 39:1991;45-71.
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 45-71
    • Lee, B.J.1    Mear, M.E.2
  • 21
    • 26144451472 scopus 로고    scopus 로고
    • On the application of Gurson's theory to voided solids with rate-sensitive matrices
    • Liu, C., Huang, Y., Stout, M.G., 2000. On the application of Gurson's theory to voided solids with rate-sensitive matrices, Los Alamos National Laboratory Internal Report LA-UR-2000-1423.
    • (2000) Los Alamos National Laboratory Internal Report , vol.LA-UR-2000-1423
    • Liu, C.1    Huang, Y.2    Stout, M.G.3
  • 23
    • 0033871302 scopus 로고    scopus 로고
    • An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals
    • Masson R., Bornert M., Suquet P., Zaoui A. An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals. J. Mech. Phys. Solids. 48:2000;1203-1227.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1203-1227
    • Masson, R.1    Bornert, M.2    Suquet, P.3    Zaoui, A.4
  • 24
    • 0023565321 scopus 로고
    • A selfconsistent approach of the large deformation polycrystal viscoplasticity
    • Molinari A., Canova G.R., Ahzi S. A selfconsistent approach of the large deformation polycrystal viscoplasticity. Acta Metall. 35:1987;2983-2994.
    • (1987) Acta Metall. , vol.35 , pp. 2983-2994
    • Molinari, A.1    Canova, G.R.2    Ahzi, S.3
  • 26
    • 44949277378 scopus 로고
    • The effective mechanical properties of nonlinear isotropic composites
    • Ponte Castañeda P. The effective mechanical properties of nonlinear isotropic composites. J. Mech. Phys. Solids. 39:1991;45-71.
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 45-71
    • Ponte Castañeda, P.1
  • 27
    • 0030164614 scopus 로고    scopus 로고
    • Exact second-order estimates for the effective mechanical properties of non-linear composite materials
    • Ponte Castañeda P. Exact second-order estimates for the effective mechanical properties of non-linear composite materials. J. Mech. Phys. Solids. 44:1996;827-862.
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 827-862
    • Ponte Castañeda, P.1
  • 28
    • 0036533606 scopus 로고    scopus 로고
    • Second-order homogeneization estimates for nonlinear composites incorporating field fluctuations
    • Ponte Castañeda P. Second-order homogeneization estimates for nonlinear composites incorporating field fluctuations. I - Theory J. Mech. Phys. Solids. 50:2002;737-757.
    • (2002) I - Theory J. Mech. Phys. Solids , vol.50 , pp. 737-757
    • Ponte Castañeda, P.1
  • 29
    • 0036533503 scopus 로고    scopus 로고
    • Second-order homogeneization estimates for nonlinear composites incorporating field fluctuations
    • Ponte Castañeda P. Second-order homogeneization estimates for nonlinear composites incorporating field fluctuations. I - Applications J. Mech. Phys. Solids. 50:2002;759-782.
    • (2002) I - Applications J. Mech. Phys. Solids , vol.50 , pp. 759-782
    • Ponte Castañeda, P.1
  • 30
    • 0028496294 scopus 로고    scopus 로고
    • Constitutive models for porous materials with evolving microstructure
    • Ponte Castañeda P., Zaidman M. Constitutive models for porous materials with evolving microstructure. J. Mech. Phys. Solids. 42:1996;1459-1497.
    • (1996) J. Mech. Phys. Solids , vol.42 , pp. 1459-1497
    • Ponte Castañeda, P.1    Zaidman, M.2
  • 31
    • 0000825775 scopus 로고
    • Overall properties of non-linear composites. A modified secant moduli theory and its link with Ponte Castañeda's nonlinear variational procedure
    • Suquet P. Overall properties of non-linear composites. A modified secant moduli theory and its link with Ponte Castañeda's nonlinear variational procedure. C.R. Acad Sci. Paris IIb. 320:1995;563-571.
    • (1995) C.R. Acad Sci. Paris IIb , vol.320 , pp. 563-571
    • Suquet, P.1
  • 32
    • 0000649503 scopus 로고
    • Plastic strain in metals
    • Taylor G.I. Plastic strain in metals. J. Inst. Met. 62:1938;307-324.
    • (1938) J. Inst. Met. , vol.62 , pp. 307-324
    • Taylor, G.I.1
  • 33
    • 0035801957 scopus 로고    scopus 로고
    • Mechanical response of zirconium. Part I: Derivation of a polycrystal constitutive law and finite element analysis
    • Tomé C.N., Maudlin P.J., Lebensohn R.A., Kaschner G.A. Mechanical response of zirconium. Part I. derivation of a polycrystal constitutive law and finite element analysis Acta Mater. 49:2001;3085-3096.
    • (2001) Acta Mater. , vol.49 , pp. 3085-3096
    • Tomé, C.N.1    Maudlin, P.J.2    Lebensohn, R.A.3    Kaschner, G.A.4
  • 34
    • 0019602346 scopus 로고
    • Influence of voids on shear bands instabilities under plane strain conditions
    • Tvergaard V. Influence of voids on shear bands instabilities under plane strain conditions. Int. J. Fract. 17:1981;389-407.
    • (1981) Int. J. Fract. , vol.17 , pp. 389-407
    • Tvergaard, V.1
  • 35
    • 0020113017 scopus 로고
    • On localization in ductile materials containing spherical voids
    • Tvergaard V. On localization in ductile materials containing spherical voids. Int. J. Fract. 18:1982;237-252.
    • (1982) Int. J. Fract. , vol.18 , pp. 237-252
    • Tvergaard, V.1
  • 36
    • 0014567172 scopus 로고
    • On the overall elastic moduli of composite materials
    • Walpole L.J. On the overall elastic moduli of composite materials. J. Mech. Phys. Solids. 17:1969;235-251.
    • (1969) J. Mech. Phys. Solids , vol.17 , pp. 235-251
    • Walpole, L.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.