Skip to main content

Micromechanics of Composites

  • Chapter
Composite Materials

Part of the book series: Materials Research and Engineering ((MATERIALS))

Abstract

In this chapter we consider the results of incorporating fibers in a matrix. The matrix, besides holding the fibers together, has the important function of transferring the applied load to the fibers. It is of great importance to be able to predict the properties of a composite, given the component properties and their geometric arrangement. We examine various micromechanical aspects of fibrous composites. A particularly simple case is the rule of mixtures, a rough tool that considers the composite properties as volume-weighted averages of the component properties. It is important to realize that the rule of mixtures works in only certain simple situations. Composite density is an example where the rule of mixtures is applied readily. In the case of mechanical properties, there are certain restrictions to its applicability. If more precise information is desired, it is better to use more sophisticated approaches based on the theory of elasticity.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W. Voigt, Lehrbuch der Kristallphysik, Teubner, Leipzig, 1910.

    Google Scholar 

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

    Article  CAS  Google Scholar 

  3. C.C. Chamis and G.P. Sendeckyj, J. Composite Mater., 2, 332 (1968).

    Article  Google Scholar 

  4. J.F. Nye, Physical Properties of Crystals, Oxford University Press, London, 1969, p. 131.

    Google Scholar 

  5. Z. Hashin and B.W. Rosen, J. Appl. Mech., 31, 233 (1964), ASME.

    Article  Google Scholar 

  6. B.W. Rosen, Composites, 4, 16 (Jan. 1973).

    Article  Google Scholar 

  7. C.C. Chamis, NASA Tech. Memo. 83320, 1983 [presented at the 38th Annual Conference of the Society of Plastics Industry (SPI), Houston, TX, Feb. 1983].

    Google Scholar 

  8. R. Hill, J. Mech. Phys. Solids, 12, 199 (1964).

    Article  Google Scholar 

  9. R. Hill, J. Mech. Phys. Solids, 13, 189 (1965).

    Article  Google Scholar 

  10. J.C. Halpin and S.W. Tsai, “Environmental Factors Estimation in Composite Materials Design,” AFML TR 67–423 (1967).

    Google Scholar 

  11. J.C. Halpin and J.L. Kardos, Polym. Eng. Sci., 16, 344 (1976).

    Article  CAS  Google Scholar 

  12. J.L. Kardos, CRC Crit. Rev. Solid State Sci., 3, 419 (1971).

    Google Scholar 

  13. J.M. Whitney, J. Structural Div. Am. Soc. Civil Eng., 113 (Jan. 1973).

    Google Scholar 

  14. L.E. Nielsen, Mechanical Properties of Polymers and Composites, vol. 2, Marcel Dekker, New York, 1974.

    Google Scholar 

  15. A. Kelly, in Chemical and Mechanical Behavior of Inorganic Materials, Wiley-Interscience, New York, 1970, p. 523.

    Google Scholar 

  16. A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th ed., Dover, New York, p. 144.

    Google Scholar 

  17. A. Kelly and H. Lilholt, Philos. Mag., 20, 175 (1971).

    Google Scholar 

  18. P.S. Turner, J. Res. Natl. Bur. Stand., 37, 239 (1946).

    Article  CAS  Google Scholar 

  19. E.H. Kerner, Proc. Phys. Soc. London, B69, 808 (1956).

    Google Scholar 

  20. R.A. Schapery, J. Composite Mater., 2, 311, 1969.

    Google Scholar 

  21. E. Behrens, J. Composite Mater., 2, 2 (1968).

    Article  Google Scholar 

  22. K.K. Chawla, Philos. Mag., 28, 401 (1973).

    Article  CAS  Google Scholar 

  23. K.K. Chawla, Metallography, 6, 155 (1973).

    Article  CAS  Google Scholar 

  24. H. Poritsky, Physics, 5, 406 (1934).

    Article  Google Scholar 

  25. K.K. Chawla and M. Metzger, J. Mater. Sci.,7, 34 (1972).

    Article  CAS  Google Scholar 

  26. K.K. Chawla, in Proceedings of the International Conference on Composite Materials/1975, TMS-AIME, New York, 1976, p. 535.

    Google Scholar 

  27. K.K. Chawla, J. Mater. Sci., 11, 1567 (1976).

    Article  CAS  Google Scholar 

  28. K.K. Chawla, in Grain Boundaries in Engineering Materials, Claitor’s Publishing Division, Baton Rouge, LA, 1974, p. 435.

    Google Scholar 

  29. R.J. Arsenault and R.M. Fisher, Scripta Met., 17, 67 (1983).

    Article  CAS  Google Scholar 

  30. M. Vogelsang, R.J. Arsenault, and R.M. Fisher, Met. Trans. A, 7A, 379 (1986).

    Article  Google Scholar 

  31. A. Kelly, Strong Solids, 2nd ed., Clarendon Press, Oxford, 1973, p. 157.

    Google Scholar 

  32. D.M. Schuster and Scala, Trans. Met. Soc.-AIME, 230, 1635 (1964).

    Google Scholar 

  33. N.F. Dow, General Electric Report No. R63-SD-61, 1963.

    Google Scholar 

Suggested Reading

  • B.D. Agarwal and L.J. Broutman, Analysis and Performance of Fiber Composites, John Wiley & Sons, New York, 1980.

    Google Scholar 

  • D. Hull, An Introduction to Composite Materials, Cambridge University Press, Cambridge, U.K., 1981.

    Google Scholar 

  • A. Kelly, Strong Solids, 2nd ed., Clarendon Press, Oxford, 1973.

    Google Scholar 

  • M.R. Piggott, Load-Bearing Fibre Composites, Pergamon Press, Oxford, 1980.

    Google Scholar 

  • V.K. Tewary, Mechanics of Fibre Composites, Halsted Press, New York, 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer Science+Business Media New York

About this chapter

Cite this chapter

Chawla, K.K. (1987). Micromechanics of Composites. In: Composite Materials. Materials Research and Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3912-1_10

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-3912-1_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-3914-5

  • Online ISBN: 978-1-4757-3912-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics