Prediction of Effective Transverse Thermal Conductivity of Boron Fiber-Reinforced Composites
Keywords:
FEM, Transverse conductivity, Composites, Unit cellAbstract
Applicability of the finite element model (FEM) in predicting the effective transverse thermal conductivity (k2) of the unidirectional fiber reinforced composites is systematically studied. A 3-D finite element model for the array of square unit cell of long circular cylinder with appropriate thermal boundary conditions is developed. FEM software ANSYS 10.0 is successfully executed and the effective transverse thermal conductivity is evaluated for various fiber volume fractions (Vf). The results are validated with the experimental and analytical results available in the literature and found to be quite coherent. The developed single model is found suitable in accurately predicting k2 at all values of Vf in the range and thus eliminate the complexity of developing different analytical expressions for different range of Vf. The methods such as analytical and 2-D FEM developed so far fails in accommodating fiber anisotropy, imperfections in matrix, fiber and fiber-matrix interface. The present model is capable of predicting k2 in all the above cases. Finally transverse effective thermal conductivity is evaluated for Boron composites with a range of matrix thermal conductivity values.
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References
Rayleigh, L., 1892, “On the influence of obstacles arranged in rectangular order upon the properties of a medium”, Philosophy Magazine, Vol. 34, pp. 481-502.
Hale, D. K., 1976, “The Physical Properties of Composite Materials”, Journal of Material Science, Vol. 11, pp. 2105-2141.
Progelhof, R. C., Throne, J.L., and Ruetsch, R.R., 1976, “Methods for Predicting the Thermal Conductivity of Composite Systems: A Review”, Polym. Eng. Science, Vol. 16, 615-625.
Dawson, D. M. and Briggs, A., 1981, “Prediction of the Thermal Conductivities of Insulation Materials”, Journal of Mater. Science, Vol. 16, pp. 3346-3356.
Hasim, Z. S., 1983, “Analysis of Composite Materials – A Survey”, Trans. ASME, Journal of Applied. Mechanics, Vol. 50, pp. 481 – 505.
Perrins, W. T. , McKenzie, D. R.., and McPhedran, R. C., 1979, “Transport Properties of Regular Arrays of Cylinders”, Proc. R. Soc. Lond., A369, pp. 207 – 223.
Grove, S. M., 1990, “A Model of Transverse Thermal Conductivity in Unidirectional Fiber-Reinforced Composites, Composites Science and Technology, Vol. 38, pp. 199-209.
Yuan Lu - Shih, 1995, “The Effective Thermal Conductivities of Composites with 2-D arrays of circular and square Cylinders”, Journal of Composite Materials, Vol. 29, pp. 483-505.
Islam, R. Md., and Pramila, A., 1999, “Thermal Conductivity of Fiber reinforced Composites by the FEM, Journal of Composite Materials, Vol. 33, pp. 1699 – 1715.
Tsai, H., 2002, “On the Thermal Model of Transverse Flow of Unidirectional Materials”, NASA/TM – 2002 – 211649.
Springer G. S., and Tsai, S. W., 1967, “Thermal Conductivities of Unidirectional Materials, Journal of Composite Materials, Vol. 1, pp. 166.
Thornburg J. D., and Pears, C. D., 1965, “Prediction of the Thermal Conductivity of Filled and Reinforced Plastics”, ASME, Paper 65 – WA/HT – 4.