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Volumn 52, Issue 8, 2004, Pages 1827-1853

Perturbation approach to elastic constitutive relations of polycrystals

Author keywords

Cubic crystallite; Effective stiffness tensor; Perturbation method; Polycrystal; Quadratic texture dependence

Indexed keywords

CRYSTAL ORIENTATION; ELASTICITY; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; STIFFNESS; STRAIN; STRESSES;

EID: 3042691914     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.02.006     Document Type: Article
Times cited : (26)

References (32)
  • 1
    • 0032292721 scopus 로고    scopus 로고
    • The mesostructure-properties linkage in polycrystals
    • Adams B.L., Olson T. The mesostructure-properties linkage in polycrystals. Prog. Mater. Sci. 43:1998;1-88.
    • (1998) Prog. Mater. Sci. , vol.43 , pp. 1-88
    • Adams, B.L.1    Olson, T.2
  • 4
    • 0014828148 scopus 로고
    • Mean field variations in a statistical sample of heterogeneous linearly elastic solids
    • Beran M.J., McCoy J.J. Mean field variations in a statistical sample of heterogeneous linearly elastic solids. Int. J. Solids Struct. 6:1970;1035-1054.
    • (1970) Int. J. Solids Struct. , vol.6 , pp. 1035-1054
    • Beran, M.J.1    Mccoy, J.J.2
  • 5
    • 0030244377 scopus 로고    scopus 로고
    • Bounding elastic constants of an orthotropic polycrystal using measurements of the microstructure
    • Beran M.J., Mason T.A., Adams B.L. Bounding elastic constants of an orthotropic polycrystal using measurements of the microstructure. J. Mech. Phys. Solids. 44:1996;1543-1563.
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 1543-1563
    • Beran, M.J.1    Mason, T.A.2    Adams, B.L.3
  • 7
    • 0021817406 scopus 로고
    • Effective elastic constants of polycrystalline aggregates
    • Bonilla L.L. Effective elastic constants of polycrystalline aggregates. J. Mech. Phys. Solids. 33:1985;227-240.
    • (1985) J. Mech. Phys. Solids , vol.33 , pp. 227-240
    • Bonilla, L.L.1
  • 9
    • 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. A. 241:1957;376-396.
    • (1957) Proc. R. Soc. A , vol.241 , pp. 376-396
    • Eshelby, J.D.1
  • 10
    • 33144479510 scopus 로고
    • The elastic behavior of a crystalline aggregate
    • Hill R. The elastic behavior of a crystalline aggregate. Proc. Phys. Soc. A. 65:1952;349-354.
    • (1952) Proc. Phys. Soc. A , vol.65 , pp. 349-354
    • Hill, R.1
  • 12
    • 1542739966 scopus 로고    scopus 로고
    • Elastic constants of a polycrystal with an orthorhombic texture
    • Huang, M., 2004a. Elastic constants of a polycrystal with an orthorhombic texture. Mechanics of Materials 36, 623-632.
    • (2004) Mechanics of Materials , vol.36 , pp. 623-632
    • Huang, M.1
  • 13
    • 3042568186 scopus 로고    scopus 로고
    • Green's function for orthorhombic aggregates of weakly anisotropic cubic crystals
    • in press
    • Huang, M., 2004b. Green's function for orthorhombic aggregates of weakly anisotropic cubic crystals. J. Elasticity, in press.
    • (2004) J. Elasticity
    • Huang, M.1
  • 14
    • 1842791228 scopus 로고    scopus 로고
    • Constitutive relation of elastic polycrystal with quadratic texture dependence
    • Huang, M., Man, C.-S., 2003. Constitutive relation of elastic polycrystal with quadratic texture dependence. J. Elasticity 72, 183-212.
    • (2003) J. Elasticity , vol.72 , pp. 183-212
    • Huang, M.1    Man, C.-S.2
  • 16
    • 0000700571 scopus 로고
    • Elastic moduli of perfectly disordered composite materials
    • Kröner E. Elastic moduli of perfectly disordered composite materials. J. Mech. Phys. Solids. 15:1967;319-329.
    • (1967) J. Mech. Phys. Solids , vol.15 , pp. 319-329
    • Kröner, E.1
  • 17
    • 0002813430 scopus 로고
    • Statistical modeling
    • Gittus, J., Zarka, J. (Eds.). Elsevier Applied Science Publishers
    • Kröner, E., 1986. Statistical modeling. In: Gittus, J., Zarka, J. (Eds.), Modeling Small Deformations of Polycrystals. Elsevier Applied Science Publishers, pp. 229-292.
    • (1986) Modeling Small Deformations of Polycrystals , pp. 229-292
    • Kröner, E.1
  • 18
    • 0032398286 scopus 로고    scopus 로고
    • On the constitutive equations of some weakly-textured materials
    • Man C.-S. On the constitutive equations of some weakly-textured materials. Arch. Rational Mech. 143:1998;77-103.
    • (1998) Arch. Rational Mech. , vol.143 , pp. 77-103
    • Man, C.-S.1
  • 19
    • 0032301138 scopus 로고    scopus 로고
    • Material tensors of weakly-textured polycrystals
    • Chien, W., et al. (Eds.). Shanghai University Press, Shanghai
    • Man, C.-S., 1998b. Material tensors of weakly-textured polycrystals. In: Chien, W., et al. (Eds.), Proceedings of the Third International Conference on Nonlinear Mechanics. Shanghai University Press, Shanghai, pp. 87-94.
    • (1998) Proceedings of the Third International Conference on Nonlinear Mechanics , pp. 87-94
    • Man, C.-S.1
  • 20
    • 0035343062 scopus 로고    scopus 로고
    • Identification of material parameters in yield functions and flow rules for weakly textured sheets of cubic metals
    • Man C.-S., Huang M. Identification of material parameters in yield functions and flow rules for weakly textured sheets of cubic metals. Int. J. Non-linear Mech. 36:2001;501-514.
    • (2001) Int. J. Non-linear Mech. , vol.36 , pp. 501-514
    • Man, C.-S.1    Huang, M.2
  • 21
    • 0014467539 scopus 로고
    • Averaging fourth-rank tensors with weight functions
    • Morris P.R. Averaging fourth-rank tensors with weight functions. J. Appl. Phys. 40:1969;447-448.
    • (1969) J. Appl. Phys. , vol.40 , pp. 447-448
    • Morris, P.R.1
  • 22
    • 0014702092 scopus 로고
    • Elastic constants of polycrystals
    • Morris P.R. Elastic constants of polycrystals. Int. J. Eng. Sci. 8:1970;49-61.
    • (1970) Int. J. Eng. Sci. , vol.8 , pp. 49-61
    • Morris, P.R.1
  • 24
    • 0034405833 scopus 로고    scopus 로고
    • Homogenization of polycrystalline aggregates
    • Paroni R. Homogenization of polycrystalline aggregates. Arch. Rational Mech. Anal. 151:2000;311-337.
    • (2000) Arch. Rational Mech. Anal. , vol.151 , pp. 311-337
    • Paroni, R.1
  • 25
    • 0033268482 scopus 로고    scopus 로고
    • Constitutive equations of elastic polycrystalline materials
    • Paroni R., Man C.-S. Constitutive equations of elastic polycrystalline materials. Arch. Rational Mech. Anal. 150:1999;153-177.
    • (1999) Arch. Rational Mech. Anal. , vol.150 , pp. 153-177
    • Paroni, R.1    Man, C.-S.2
  • 26
    • 84956078977 scopus 로고
    • Berchung der Fiessgrenze von Mischkristallen auf Grund der Plastiziätsbedingung für Einkristalle
    • Reuss A. Berchung der Fiessgrenze von Mischkristallen auf Grund der Plastiziätsbedingung für Einkristalle. Z. Angew. Math. Mech. 9:1929;49-58.
    • (1929) Z. Angew. Math. Mech. , vol.9 , pp. 49-58
    • Reuss, A.1
  • 27
    • 36849119723 scopus 로고
    • Description of crystallite orientation in polycrystalline materials: III, general solution to pole figures
    • Roe R.J. Description of crystallite orientation in polycrystalline materials. III, general solution to pole figures J. Appl. Phys. 36:1965;2024-2031.
    • (1965) J. Appl. Phys. , vol.36 , pp. 2024-2031
    • Roe, R.J.1
  • 28
    • 36849113607 scopus 로고
    • Inversion of pole figures for materials having cubic crystal symmetry
    • Roe R.J. Inversion of pole figures for materials having cubic crystal symmetry. J. Appl. Phys. 37:1966;2069-2072.
    • (1966) J. Appl. Phys. , vol.37 , pp. 2069-2072
    • Roe, R.J.1
  • 29
    • 0020205550 scopus 로고
    • Ultrasonic velocities in anisotropic polycrystalline aggregates
    • Sayers C.M. Ultrasonic velocities in anisotropic polycrystalline aggregates. J. Phys. D. 15:1982;2157-2167.
    • (1982) J. Phys. D , vol.15 , pp. 2157-2167
    • Sayers, C.M.1
  • 31
    • 0000556103 scopus 로고
    • Über die Beziehung zwischen den beiden Elastiziätskonstanten isotroper Körper
    • Voigt W. Über die Beziehung zwischen den beiden Elastiziätskonstanten isotroper Körper. Wied. Ann. 38:1889;573-587.
    • (1889) Wied. Ann. , vol.38 , pp. 573-587
    • Voigt, W.1
  • 32
    • 0019697033 scopus 로고
    • Variational and related methods for the overall properties of composites
    • Chia-Shun Yih (Ed.). Academic Press, New York
    • Willis, J.R., 1981. Variational and related methods for the overall properties of composites. In: Chia-Shun Yih (Ed.), Advances in Applied Mechanics, Vol. 21. Academic Press, New York, pp. 1-78.
    • (1981) Advances in Applied Mechanics , vol.21 , pp. 1-78
    • Willis, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.