Journal of Materials Science

, Volume 28, Issue 7, pp 1973–1977 | Cite as

Bounds for the elastic constants of a unidirectional fibre composite: a new approach

  • I. M. Ward
  • A. P. Wilczynski


Series-parallel and parallel-series models are used to calculate upper and lower bounds for a unidirectional fibre composite. It is shown that this simple approach produces comparatively close bounds which agree well with those calculated from more sophisticated analytical methods. This approach may be used for initial estimates of composite properties, e.g. when characterizing a new material. In some cases this may be sufficient for the design of simple composite structures.


Polymer Lower Bound Elastic Constant Initial Estimate Composite Structure 
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  1. 1.
    W. Voigt, “Lehrbuch der Kristallphysik” (Teubner, Leipzig, 1928) 40.Google Scholar
  2. 2.
    A. Reuss,Z. Angew. Math. Mech. 9 (1929) 49.CrossRefGoogle Scholar
  3. 3.
    I. M. Ward,Proc. Phys. Soc. 80 (1962) 1176.CrossRefGoogle Scholar
  4. 4.
    C-T. D. Wu andR. L. McCullough, in “Developments in Composite Materials”, edited by G. S. Holister (Applied Science, London, 1977).Google Scholar
  5. 5.
    S. R. A. Dyer, D. Lord, I. J. Hutchinson, I. M. Ward andR. A. Duckett,J. Phys D: Appl. Phys. 25 (1992) 66.CrossRefGoogle Scholar
  6. 6.
    W. C. Zhang andK. E. Evans,Compos. and Struct.,29 (1988) 413.CrossRefGoogle Scholar
  7. 7.
    A. P. Wilczynski,Compos. Sci. Technol. 38 (1990) 327.CrossRefGoogle Scholar
  8. 8.
    I. M. Ward, “Mechanical Properties of Solid Polymers” (Wiley-Interscience, Bristol 1971).Google Scholar

Copyright information

© Chapman & Hall 1993

Authors and Affiliations

  • I. M. Ward
    • 1
  • A. P. Wilczynski
    • 1
  1. 1.IRC in Polymer Science and TechnologyUniversity of LeedsLeedsUK

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