Quantitative description of the microstructure of composites. Part I: Morphology of unidirectional composite systems

https://doi.org/10.1016/0266-3538(94)90141-4Get rights and content

Abstract

For the purpose of micromechanical modeling the behavior of unidirectional composite materials it is necessary to identify the descriptors that in the best way characterize the spatial dispersion of fibers. By introducing a second-order intensity function and the Dirichlet tessellation, the statistical analysis of fiber distribution has been carried out. The analysis has been performed for three distributions obtained experimentally and for several simulated distributions. It is shown that customary assumptions about complete randomness or perfect regularity of the dispersion may be in error, compared with real situations. A simple micro-mechanical model illustrates the influence of distribution statistics on the calculated stress field.

References (34)

  • Z. Hashin et al.

    A variational approach to the theory of the elastic behaviour of multiphase materials

    J. Mech. Phys. Solids

    (1963)
  • Z. Hashin

    Analysis of composite materials—A survey

    ASME Trans. J. Appl. Mech.

    (1983)
  • J.R. Willis

    The overall elastic response of composite materials

    ASME Trans. J. Appl. Mech.

    (1983)
  • T. Mori et al.

    Average stress in matrix and average elastic energy of materials with misfitting inclusions

    Acta Metall.

    (1973)
  • T. Mura

    Micromechanics of Defects in Solids

    (1982)
  • Y. Benveniste

    The effective mechanical behavior of composite materials with imperfect contact between the constituents

    Mech. Mater.

    (1985)
  • M. Ferrari

    Asymmetry and the high concentration limit of the Mori-Tanaka effective medium theory

    Mech. Mater.

    (1991)
  • J.R. Brockenbrough et al.

    Deformation of metal-matrix composites with continuous fibers: Geometrical effects of fiber distribution and shape

    Acta Metall. Mater.

    (1991)
  • H. Zhu et al.

    Radial matrix cracking and interphase failure in transversely loaded fiber composites

    Mech. Mater.

    (1991)
  • H. Zhu et al.

    Effect of fiber-matrix interphase defects on micro-level stress states at neighboring fibers

    J. Comp. Mat.

    (1991)
  • Aboudi

    Mechanics of Composite Materials

    (1991)
  • M.J. Beran et al.

    Mean field variations in a statistical sample of heterogeneous linearity elastic solids

    Int. J. Solids Structure

    (1970)
  • M.N. Miller

    Bounds for effective electrical, thermal and magnetic properties of heterogeneous materials

    J. Math. Phys.

    (1969)
  • G.W. Milton

    Bound on the elastic and transport properties of two-component composites

    J. Mech. Phys. Solids

    (1982)
  • J.R. Willis

    Variational and related methods for the overall properties of composites

  • S. Torquato et al.

    Microstructure of two-phase random media, I

    J. Chem. Phys.

    (1982)
  • S. Torquato et al.

    Microstructure of two-phase random media, V

    J. Chem. Phys.

    (1985)
  • Cited by (0)

    View full text