He Linghui, Liu Renhuai. Bounds of the Expansion Coefficients of Composites Reinforced by Spherically Isotropic Particles[J]. Applied Mathematics and Mechanics, 1997, 18(4): 317-323.
Citation: He Linghui, Liu Renhuai. Bounds of the Expansion Coefficients of Composites Reinforced by Spherically Isotropic Particles[J]. Applied Mathematics and Mechanics, 1997, 18(4): 317-323.

Bounds of the Expansion Coefficients of Composites Reinforced by Spherically Isotropic Particles

  • Received Date: 1995-11-03
  • Publish Date: 1997-04-15
  • The present paper is devoted to the study of expansional behaviours of a compositerein forced by spherically isotropic particles. An exact relation is derived between the effective expansion coefficient and bulk modulus of the composite by using the concept ofuniform fields in the matrix which is proposed here. Through obtaining the Paul-typebounds of the bulk modulus by using the extreme principle of energy, bounds of the effective expansion coefficient are also derivded.
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  • [1]
    Z.Hashin and S.Shtrikmann,A variational approach to the theory of elastic behaviour ofmultiphase materials,J Mech.Phys.Solids,11(1963),127~140.
    [2]
    Z.Hashin and S.Shtrikmann,On some variational principles in anisotropic andnonhomogeneous elasticity,J Mech.Phys.Solids,10(1962),335~342.
    [3]
    L.J.Walpole,On bounds for the overall elastic moduli of inhomogeneous systems-I,J.Mech.Phys.Solids,14(1966),151~162.
    [4]
    L.J.Walpole,On bounds for the overall elastic moduli of inhomogeneous systems-II,J.Mech.Phys.Solids,14(1966),289~301.
    [5]
    J.L.Willis,Bounds and self-consistent estimates for the overall properties of anisotropiccomposites,J.Mech.Phys.Solids,25(1977),185~202.
    [6]
    V.M.Levin,Thermal expansion coefficients of heterogeneous materials,Mekh.Tverdogo Tela,2(1967),88~94.
    [7]
    B.W.Rosen and Z.Hashin,Effective thermal expansion coefficients and specific heats ofcomposite materials,Int.J.Eng.Sci.,8(1970),157~173.
    [8]
    J.R.Dryden,Elastic constants of spherulitic polymers,J.Mech.Phys.Solids,36(1988),377~498.
    [9]
    T.Chen,Thermoelastic properties and conductivity of composites reinforced by sphericallyanisotropic particles,Mech.Mater.,14(1993),257~268.
    [10]
    G.J.Dvorak,Thermal expansion of elastic-plastic composite materials,J.Appl Mech.,53(1986),737~743.
    [11]
    G.J.Dvorak,On uniform fields in heterogeneous madia,Proc.R.Soc.Loud.,A431(1990),89 ~110.
    [12]
    B.Paul,Prediction of elastic constants of multiphase materials,Trans.of the ASME,218(1960),36~41.
    [13]
    W.Voigt,Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper,Wied.Ann.,38(1989),573~587.
    [14]
    A.Reuss,Berechmung der Fliessgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle,ZAMM,9(1929),49~58.
    [15]
    Z.Hashin,The elastic moduli of heterogeneous materials,J.Appl Mech.,29(1962),143~150.
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