Skip to main content
SpringerLink
Log in

Estimation of the thermal conductivity of composites

  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

In this article we introduce the concept of homogenization for the approximation of the effective thermal conductivity of composites. A simple algebraic approximation method is proposed and shown to yield an upper bound for the effective conductivity. Numerical results are given for uni-directional carbon-carbon composites which demonstrate the validity of the approach.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Bear, "Dynamics of Fluids in Porous Media" (Dover, 1988).

  2. A. Bensoussan, J.-L. Lion and G. Papanicolaou, "Asymptotic Analysis for Periodic Structures" (North-Holland, 1978).

  3. Y. Benveniste, T. Chen and G. J. Dvorak, J. Appl. Phys. 67 (1990) 2878–2884.

    Google Scholar 

  4. J. Brennan, L. D. Bentsen and D. P. H. Hasselmann, J. Mater. Sci. 17 (1982) 2337–2342.

    Google Scholar 

  5. P. G. Ciarlet, P. G., "The Finite Element Method for Elliptic Problems" (North-Holland, 1978).

  6. D. M. Dawson and A. Briggs, J. Mater. Sci. 16 (1981) 3346–3356.

    Google Scholar 

  7. V. J. Ervin, Preprint, Clemson University, 1998.

  8. R. A. Freeze and J. A. Cherry, "Groundwater" (Prentice-Hall, 1979).

  9. S. M. Grove, Composites Sci. Tech. 38 (1990) 199–209.

    Google Scholar 

  10. J. P. Harris, B. Yates, J. Batchelor and P. J Carrington, J. Mater. Sci. 17 (1982) 2925–2931.

    Google Scholar 

  11. J. W. Klett, PhD thesis, Clemson University, 1994.

  12. J. L. Lions and E. Magenes, "Nonhomogeneous Boundary Value Problems and Applications" (Springer-Verlag, 1972).

  13. J. T. Mottram and R. Taylor, Composites Sci. Technol. 29 (1987) 211–232.

    Google Scholar 

  14. M. W. Pilling, B. Yates, M. A. Black and P. Tattersall, J. Mater. Sci. 14 (1979) 1326–1328.

    Google Scholar 

  15. V. V. Jikov, S. M. Kozlov and O. A. Oleinik, "Homogenization of Differential Operators and Integral Functionals" (Springer-Verlag, 1994).

  16. A. J. Whittaker and R. Taylor, Proc. R. Soc. Lond. A. 430 (1990) 199–211.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences,, Clemson University,, Clemson,, SC, 29634-1907

    Vincent J. Ervin

  2. Oak Ridge National Laboratory,, Carbon and Insulation Materials Technology Group,, Oak Ridge,, TN, 37831-6087

    James W. Klett

  3. Department of Chemical Engineering,, Clemson University,, Clemson,, SC, 29634-0909

    Chad M. Mundt

Authors
  1. Vincent J. Ervin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. James W. Klett
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chad M. Mundt
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ervin, V.J., Klett, J.W. & Mundt, C.M. Estimation of the thermal conductivity of composites. Journal of Materials Science 34, 3545–3553 (1999). https://doi.org/10.1023/A:1004674308487

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004674308487

Keywords

Search

Navigation