Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-10T23:38:00.613Z Has data issue: false hasContentIssue false

Prediction of the Effective Thermal Conductivity of Fiber Reinforced Composites Using a Micromechanical Approach

Published online by Cambridge University Press:  02 October 2017

A. Sayyidmousavi*
Affiliation:
Department of Mathematics Ryerson University Toronto, Canada
H. Bougherara
Affiliation:
Department of Mechanical and Industrial Engineering Ryerson University Toronto, Canada
S. R. Falahatgar
Affiliation:
Department of Mechanical Engineering University of Guilan Rasht, Iran
Z. Fawaz
Affiliation:
Department of Aerospace Engineering Ryerson University Toronto, Canada
*
*Corresponding author (asayyidmousavi@ryerson.ca)
Get access

Abstract

A novel micromechanical approach is proposed to calculate the effective thermal conductivities of fiber reinforced composite materials. The key advantage of the present formulation is its ability to yield closed form solutions for the effective thermal conductivity of composites in both longitudinal and transverse directions for three dimensional heat transfer problems. The obtained results are in good agreement with the experimental data reported in the literature. When compared with analytical and finite element solutions, the results are seen to be in better agreement with the hexagonal packed array compared to the square packed array which thus represents a more realistic model of the fiber distribution in the matrix medium.

Type
Research Article
Copyright
© The Society of Theoretical and Applied Mechanics 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Pilling, M. W., Yates, B., Black, M. A. and Tattersall, P., “The Thermal Conductivity of Carbon Fiber-Reinforced Composites,” Journal of Materials Science, 14, pp. 13261338 (1979).Google Scholar
McIvor, S. D., Darby, M. I., Wostenholm, G. H. and Yates, B., “Thermal Conductivity Measurements of Some Glass and Carbon Fiber Reinforced Plastics,” Journal of Materials Science, 25, pp. 31273132 (1990).Google Scholar
Rolfes, R. and Hammerschmidt, U., “Transverse Thermal Conductivity of CFRP Laminates: a Numerical and Experimental Validation of Approximation Formula,” Composite Science and Technology, 54, pp. 4554 (1995).Google Scholar
Farmer, J. D. and Covert, E. E., “Thermal Conductivity of a Thermosetting Advanced Composite During Its Cure,” Journal of Thermophysics and Heat Transfer, 10, pp. 467475 (1996).Google Scholar
Yu, H., Nonn, A., Schneiders, S., Heider, D. and Advani, S. G., “An Approach to Enhance Through-Thickness Thermal Conductivity of Polymeric Fiber Composites,” International Journal of Heat and Mass Tranfer, 59, pp. 2028 (2013).Google Scholar
Springer, G. S. and Tsai, S. W., “Thermal Conductivities of Unidirectional Materials,” Journal of Composite Materials, 1, pp. 166173 (1967).Google Scholar
Zou, M., Yu, B. and Zhang, D., “An Analytical Solution for Transverse Thermal Conductivities of Unidirectional Fibre Composites with Thermal Barrier,” Journal of Physics D: Applied Physics, 35, pp. 18671874 (2002).Google Scholar
Hatta, H. and Taya, M., “Effective Thermal Conductivity of a Misoriented Short Fiber Composite,” Journal of Applied Physics, 58, pp. 24782486 (1985).Google Scholar
Nan, C. W., Shi, Z. and Lin, Y., “A Simple Model for Thermal Conductivity of Carbon Nanotube-Based Composites,” Chemical Physics Letters, 375, pp. 666669 (2003).Google Scholar
Sihn, S. and Roy, A. K., “Micromechanical Analysis for Transverse Thermal Conductivity of Composites,” Journal of Composite Materials, 45, pp. 12451255 (2010).Google Scholar
Benveniste, Y., Chen, T. and Dvorak, G. J., “The Effective Thermal Conductivity of Composite Reinforced by Coated Cylindrically Orthotropic Fibers,” Journal of Applied Physics, 67, pp. 28782884 (1990).Google Scholar
Muliana, A. H. and Kim, J. S., “A Two-Scale Homogenization Framework for Nonlinear Effective Thermal Conductivity of Laminated Composites,” Acta Mechanica, 212, pp. 319347 (2010).Google Scholar
Aboudi, J., “Continuum Theory for Fiber-Reinforced Elastic-Visco-Plastic Composites,” International Journal of Engineering Science, 20, pp. 605621 (1982).Google Scholar
Robertson, D. D. and Mall, S., “Micromechanical Relations for Fiber-Reinforced Composites Using the Free Transverse Shear Approach,” Journal of Composites, Technology and Research, 15, pp. 181192 (1993).Google Scholar
Aghdam, M. M., Smith, D. J. and Pavier, M. J., “Finite Element Micromechanical Modeling of Yield and Collapse Behavior of Metal Matrix Composites,” Journal of the Mechanics and Physics of Solids, 48, pp. 499528 (2000).Google Scholar
Falahatgar, S. R., Salehi, M. and Aghdam, M. M., “Nonlinear Viscoelastic Response of Unidirectional Fiber Reinforced Composites in Off-Axis Loading,” Journal of Reinforced Plastics and Composites, 28, pp. 17931812 (2009).Google Scholar
Reddy, J. N., “Principles of Continuum Mechanics a Study of Conservation Principles with Applications,” Cambridge University Press, New York (2010).Google Scholar