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

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Abstract

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.

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References

  1. W. Voigt, “Lehrbuch der Kristallphysik” (Teubner, Leipzig, 1928) 40.

    Google Scholar 

  2. A. Reuss,Z. Angew. Math. Mech. 9 (1929) 49.

    Article  CAS  Google Scholar 

  3. I. M. Ward,Proc. Phys. Soc. 80 (1962) 1176.

    Article  CAS  Google Scholar 

  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. S. R. A. Dyer, D. Lord, I. J. Hutchinson, I. M. Ward andR. A. Duckett,J. Phys D: Appl. Phys. 25 (1992) 66.

    Article  CAS  Google Scholar 

  6. W. C. Zhang andK. E. Evans,Compos. and Struct.,29 (1988) 413.

    Article  Google Scholar 

  7. A. P. Wilczynski,Compos. Sci. Technol. 38 (1990) 327.

    Article  Google Scholar 

  8. I. M. Ward, “Mechanical Properties of Solid Polymers” (Wiley-Interscience, Bristol 1971).

    Google Scholar 

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Visiting Professor from the Warsaw University of Technology, Poland

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Ward, I.M., Wilczynski, A.P. Bounds for the elastic constants of a unidirectional fibre composite: a new approach. J Mater Sci 28, 1973–1977 (1993). https://doi.org/10.1007/BF00595771

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  • DOI: https://doi.org/10.1007/BF00595771

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