Skip to main content

Equivalent Inclusion Approach and Approximations for Thermal Conductivity of Composites with Fibrous Fillers

  • Conference paper
  • First Online:
Proceedings of the International Conference on Advances in Computational Mechanics 2017 (ACOME 2017)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Included in the following conference series:

  • 1372 Accesses

Abstract

Based on the polarization approximations, the expression for the thermal conductivity of composites with randomly oriented inclusions of fiber forms is firstly derived. Equivalent inclusion approach is then developed to account for possible diversions such as non-idealistic geometric forms of the inhomogeneities, or the fact that the conductivity of the fibers is unknown, using reference conductivity data. Applications involving experimental data from the literature show the usefulness of the approach.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Mori T, Tanaka K (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 21:571–574

    Article  Google Scholar 

  2. Christensen RM (1979) Mechanics of composite materials. Wiley, New York

    Google Scholar 

  3. Pham DC, Torquato S (2003) Strong-contrast expansions and approximations for the effective conductivity of isotropic multiphase composites. J Appl Phys 94:6591–6602

    Article  Google Scholar 

  4. Pham DC (2008) Weighted effective medium approximations for conductivity of random composites. Int J Heat Mass Transf 51:3355–3361

    Article  MATH  Google Scholar 

  5. Kushch VI, Sevostianov I (2016) Maxwell homogenization scheme as a rigorous method of micromechanics: Application to effective conductivity of a composite with spheroidal particles. Int J Eng Sci 98:36–50

    Article  Google Scholar 

  6. Nielsen LE (1974) The thermal and electrical conductivity of two-phase systems. ACS Publications, Industrial & engineering chemistry fundamentals

    Google Scholar 

  7. Zimmerman RW (1989) Thermal conductivity of fluid-saturated rocks. J Petrol Sci Eng 3:219–227

    Article  Google Scholar 

  8. Ashby MF, Evans AG, Fleck NA, Gibson LJ, Hutchinson J, Wadley HNG (2000) Metal foams: a design guide. Butterworth Heinemann, Oxford

    Google Scholar 

  9. Pham DC (2000) Electrical properties of sedimentary rocks having interconnected water-saturated pore spaces. Geophysics 65:1093–1097

    Article  Google Scholar 

  10. Ordonez-Miranda J, Alvarado-Gil JJ (2012) Thermal conductivity of nanocomposites with high volume fractions of particles. Compos Sci Technol 72:853–857

    Article  Google Scholar 

  11. Mendes MAA, Ray S, Trimis D (2014) An improved model for the effective thermal conductivity of open-cell porous foams. Int J Heat Mass Transf 75:224–230

    Google Scholar 

  12. Pham DC, Nguyen TK (2015) Polarization approximations for macroscopic conductivity of isotropic multicomponent materials. Int J Eng Sci 97:26–39

    Article  MathSciNet  Google Scholar 

  13. Do QH, Tran AB, Pham DC (2016) Equivalent-inclusion approach and effective medium approximations for the effective conductivity of isotropic multicomponent materials. Acta Mech 227:387–398

    Google Scholar 

  14. Ren L, Pashayi K, Fard HR, Kotha SP, Tasciuc TB, Ozisik R (2014) Engineering the coefficient of thermal expansion and thermal conductivity of polymers filled with high aspect ratio silica nanofibers. Compos Part B Eng 58:228–234

    Google Scholar 

  15. Smith DK, Pantoya ML (2015) Effect of nanofiller shape on effective thermal conductivity of fluoropolymer composites. Compos Sci Technol 118:251–256

    Article  Google Scholar 

Download references

Acknowledgements

This research is supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.02-2015.05.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nguyen Trung Kien .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Trung Kien, N., Hai Duyen, N.T., Chinh, P.D. (2018). Equivalent Inclusion Approach and Approximations for Thermal Conductivity of Composites with Fibrous Fillers. In: Nguyen-Xuan, H., Phung-Van, P., Rabczuk, T. (eds) Proceedings of the International Conference on Advances in Computational Mechanics 2017. ACOME 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7149-2_29

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-7149-2_29

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7148-5

  • Online ISBN: 978-981-10-7149-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics