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Volumn 54, Issue 3, 1999, Pages 229-251

Bounds for the effective elastic properties of completely random planar polycrystals

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL ORIENTATION; ELASTIC MODULI; GRAIN SIZE AND SHAPE; POLYCRYSTALS; RANDOM PROCESSES; STATISTICAL METHODS;

EID: 0033348578     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007623720169     Document Type: Article
Times cited : (4)

References (32)
  • 1
    • 45549116280 scopus 로고
    • Variational bounds on the effective moduli of anisotropic composites
    • G.W. Milton and R.V. Kohn, Variational bounds on the effective moduli of anisotropic composites. J. Mech. Phys. Solids 36 (1988) 597-629.
    • (1988) J. Mech. Phys. Solids , vol.36 , pp. 597-629
    • Milton, G.W.1    Kohn, R.V.2
  • 2
    • 0007200514 scopus 로고
    • G-closure for some particular sets of admissible material characteristics for the problem of bending of thin plates
    • K.A. Lurie and A.V. Cherkaev, G-closure for some particular sets of admissible material characteristics for the problem of bending of thin plates. J. Opt. Theo. Appl. 42 (1984) 305-316.
    • (1984) J. Opt. Theo. Appl. , vol.42 , pp. 305-316
    • Lurie, K.A.1    Cherkaev, A.V.2
  • 3
    • 0000350984 scopus 로고
    • Optimal bounds on the effective bulk modulus of polycrystals
    • M. Avellaneda and G.W. Milton, Optimal bounds on the effective bulk modulus of polycrystals. SIAM J. Appl. Math. 49 (1989) 824-837.
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 824-837
    • Avellaneda, M.1    Milton, G.W.2
  • 5
    • 33144479510 scopus 로고
    • The elastic behaviour of a crystalline aggregate
    • R. Hill, The elastic behaviour of a crystalline aggregate. Proc. Phys. Soc. A65 (1952) 349-354.
    • (1952) Proc. Phys. Soc. , vol.A65 , pp. 349-354
    • Hill, R.1
  • 6
    • 11644258018 scopus 로고
    • A variational approach to the theory of the elastic behaviour of polycrystals
    • Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behaviour of polycrystals. J. Mech. Phys. Solids 10 (1962) 343-352.
    • (1962) J. Mech. Phys. Solids , vol.10 , pp. 343-352
    • Hashin, Z.1    Shtrikman, S.2
  • 9
    • 0000812755 scopus 로고
    • Graded and perfect disorder in random media elasticity
    • E. Kröner, Graded and perfect disorder in random media elasticity. J. Engng. Mech. Div. 106 (1980) 889-914.
    • (1980) J. Engng. Mech. Div. , vol.106 , pp. 889-914
    • Kröner, E.1
  • 10
    • 0000834580 scopus 로고
    • Effective conductivity and average polarizability of random polycrystals
    • M. Avellaneda and O. Bruno, Effective conductivity and average polarizability of random polycrystals. J. Math. Phys. 31 (1990) 2047-2056.
    • (1990) J. Math. Phys. , vol.31 , pp. 2047-2056
    • Avellaneda, M.1    Bruno, O.2
  • 11
    • 0030212329 scopus 로고    scopus 로고
    • Conductivity of disordered polycrystals
    • D.C. Pham, Conductivity of disordered polycrystals. J. Appl. Phys. 80 (1996) 2253-2259.
    • (1996) J. Appl. Phys. , vol.80 , pp. 2253-2259
    • Pham, D.C.1
  • 12
    • 0027510922 scopus 로고
    • Bounds on the effective shear modulus of multiphase materials
    • D.C. Pham, Bounds on the effective shear modulus of multiphase materials. Int. J. Engng. Sci. 31 (1993) 11-17.
    • (1993) Int. J. Engng. Sci. , vol.31 , pp. 11-17
    • Pham, D.C.1
  • 13
    • 0031182534 scopus 로고    scopus 로고
    • Elastic moduli of perfectly-random polycrystalline aggregates
    • D.C. Pham, Elastic moduli of perfectly-random polycrystalline aggregates. Philos. Mag. A 76 (1997) 31-44.
    • (1997) Philos. Mag. A , vol.76 , pp. 31-44
    • Pham, D.C.1
  • 15
    • 0002687412 scopus 로고
    • Macroscopic response of continua with random micro structure
    • S. Nemat-Nasser (ed.), Pergamon Press.
    • J.J. McCoy, Macroscopic response of continua with random micro structure. In: S. Nemat-Nasser (ed.), Mechanics Today, Vol. 6. Pergamon Press. (1981) pp. 1-4-0.
    • (1981) Mechanics Today , vol.6 , pp. 140
    • McCoy, J.J.1
  • 16
    • 0000619717 scopus 로고
    • Bounds for the effective elastic bulk modulus of heterogeneous materials
    • M.N. Miller, Bounds for the effective elastic bulk modulus of heterogeneous materials. J. Math. Phys. 10 (1969) 2005.
    • (1969) J. Math. Phys. , vol.10 , pp. 2005
    • Miller, M.N.1
  • 17
    • 0015586608 scopus 로고
    • Elastic constants of polycrystals
    • R. Zeller, and P.H. Dederichs, Elastic constants of polycrystals. Phys. Sta. Sol. B55 (1973) 831-842.
    • (1973) Phys. Sta. Sol. , vol.B55 , pp. 831-842
    • Zeller, R.1    Dederichs, P.H.2
  • 19
    • 0001363511 scopus 로고
    • Conductivity of a two-dimensional two-phase system
    • A.M. Dykhne, Conductivity of a two-dimensional two-phase system. Zh. Eksp. Teor. Fiz. 59 (1970) 110-115 [Soviet Physics JETP 32 (1971) 63-65].
    • (1970) Zh. Eksp. Teor. Fiz. , vol.59 , pp. 110-115
    • Dykhne, A.M.1
  • 20
    • 0007265745 scopus 로고
    • A.M. Dykhne, Conductivity of a two-dimensional two-phase system. Zh. Eksp. Teor. Fiz. 59 (1970) 110-115 [Soviet Physics JETP 32 (1971) 63-65].
    • (1971) Soviet Physics JETP , vol.32 , pp. 63-65
  • 21
    • 0021197598 scopus 로고
    • Thermal expansion of polycrystalline aggregates
    • Z. Hashin, Thermal expansion of polycrystalline aggregates. J. Mech. Phys. Solids 32 (1984) 149-157.
    • (1984) J. Mech. Phys. Solids , vol.32 , pp. 149-157
    • Hashin, Z.1
  • 22
    • 0040771898 scopus 로고
    • Linear response of polycrystals to coupled fields: Exact relations among the coefficients
    • M. Milgrom and S. Shtrikman, Linear response of polycrystals to coupled fields: exact relations among the coefficients. Phys. Rev B 40 (1989) 5991-5994.
    • (1989) Phys. Rev B , vol.40 , pp. 5991-5994
    • Milgrom, M.1    Shtrikman, S.2
  • 23
    • 0028768652 scopus 로고
    • Exact connections between polycrystals and crystals properties in two-dimensional polycrystalline aggregates
    • Y. Benveniste, Exact connections between polycrystals and crystals properties in two-dimensional polycrystalline aggregates. Proc. R. Soc. Lond. A 447 (1994) 1-22.
    • (1994) Proc. R. Soc. Lond. A , vol.447 , pp. 1-22
    • Benveniste, Y.1
  • 24
    • 6544226089 scopus 로고
    • Elastic properties of reinforced solids: Some theoretical principles
    • R. Hill, Elastic properties of reinforced solids: Some theoretical principles. J. Mech. Phys. Solids 11 (1963) 357-372.
    • (1963) J. Mech. Phys. Solids , vol.11 , pp. 357-372
    • Hill, R.1
  • 25
    • 49949149864 scopus 로고
    • On bounds for the overall elastic moduli of inhomogeneous systems
    • L.J. Walpole, On bounds for the overall elastic moduli of inhomogeneous systems. J. Mech. Phys. Solids 14 (1966) 152-162.
    • (1966) J. Mech. Phys. Solids , vol.14 , pp. 152-162
    • Walpole, L.J.1
  • 28
    • 0010676823 scopus 로고
    • Bounds for the effective conductivity and elastic moduli of fully-disordered multicomponent materials
    • D.C. Pham, Bounds for the effective conductivity and elastic moduli of fully-disordered multicomponent materials. Arch. Rational Mech. Anal. 127 (1994) 191-198.
    • (1994) Arch. Rational Mech. Anal. , vol.127 , pp. 191-198
    • Pham, D.C.1
  • 29
    • 0030150475 scopus 로고    scopus 로고
    • On macroscopic conductivity and elastic properties of perfectly-random cell composites
    • D.C. Pham, On macroscopic conductivity and elastic properties of perfectly-random cell composites. Int. J. Solids Struct. 33 (1996) 1745-1755.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 1745-1755
    • Pham, D.C.1
  • 30
    • 4243447001 scopus 로고    scopus 로고
    • Overall properties of planar quasisymmetric randomly inhomogeneous media: Estimates and cell models
    • D.C. Pham, Overall properties of planar quasisymmetric randomly inhomogeneous media: Estimates and cell models. Phys. Rev. E 56 (1997) 652-660.
    • (1997) Phys. Rev. E , vol.56 , pp. 652-660
    • Pham, D.C.1
  • 31
    • 0344598504 scopus 로고    scopus 로고
    • Bounds on the effective properties of some multiphase matrix mixtures of coated-sphere geometry
    • D.C. Pham, Bounds on the effective properties of some multiphase matrix mixtures of coated-sphere geometry. Mech. Mater. 27 (1998) 249-260.
    • (1998) Mech. Mater. , vol.27 , pp. 249-260
    • Pham, D.C.1
  • 32
    • 84956078977 scopus 로고
    • Berechnung der fliebgrenze von mischkristallen auf grund der plastizitatzsbedingung fur einkristalle
    • A. Reuss, Berechnung der fliebgrenze von mischkristallen auf grund der plastizitatzsbedingung fur einkristalle. Z. Angew. Math. Mech. 9 (1929) p. 49.
    • (1929) Z. Angew. Math. Mech. , vol.9 , pp. 49
    • Reuss, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.