Effective conductivity of a composite in a primitive tetragonal lattice of highly conducting spheres in resistive thermal contact with the isolating matrix

Journal of Heat Transfer

Volumn 129, Issue 12, 2007, Pages 1617-1626

  Filip, Cristina ^a   Garnier, Bertrand ^b   Danes, Florin ^b  

^a UNIVERSITY POLITEHNICA OF BUCHAREST   (Romania)

^b Centre National de la Recherche Scientifique   (France)

Author keywords

Composite; Finite elements; Thermal conductivity; Thermal contact resistance

Indexed keywords

COMPOSITE MATERIALS; CONTACT ANGLE; FINITE ELEMENT METHOD; HEAT CONDUCTION; HEAT RESISTANCE; INCLUSIONS;

RELATIVE RESISTIVITY; THERMAL CONTACT RESISTANCE;

THERMAL CONDUCTIVITY;

COMPOSITE MATERIALS; CONTACT ANGLE; FINITE ELEMENT METHOD; HEAT CONDUCTION; HEAT RESISTANCE; INCLUSIONS; THERMAL CONDUCTIVITY;

EID: 38849134906     PISSN: 00221481     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2768096     Document Type: Article

References (32)

1. Every, A., Tsou, Y., Hasselman, D., and Raj, R., 1992, "The Effect of Particle Size on the Thermal Conductivity of ZnS/Diamond Composites." Acts Metall. Mater., 40, pp. 123-129.
2. Bao, K., Lu, H., and Grinivall, G., 1993, "Transversal Thermal Conductivity in Fiber-Composite With Non-Ideal Geometries," Int. J. Heat Mass Transfer, 36, pp. 4033-4038.
3. Araki, N., Tang, D. W., Makino, A., Hashimoto, M., and Sano, T., 1998, "Transient Characteristics of Thermal Conduction in Dispersed Composites," Int. J. Thermophys., 19, pp. 1239-1251.
4. Zinchenko, A., 1998, "Effective (Thermal) Conductivity of Loaded Granular Materials by Numerical Simulations," Philos. Truns. R. Soc. London, Ser. A, 356, pp. 2953-2998.
5. Lu, S., 1998, "Effective Conductivities of Aligned Spheroid Dispersion Estimated by an Equivalent Inclusion Model," J. Appl. Phys., 84, pp. 2647-2655.
6. Privalko, V., and Novikov, V., 1995, "Modeling of Thermal Conductivity in Heterogeneous Polymers," Thermal and Electrical Conductivity of Polymer Materials, Y. Godovsky, and V. Privalko, eds., Adv. Polymer Sci., Vol. 119, Springer-Verlag, Berlin, pp. 31-77.
7. Chen. T., 1993, "Interfacial Discontinuities in Thermal Conduction," Int. J. Eng. Sci., 31, pp. 425-434.
8. Gançalves, L., and Kolodziej, J., 1993, "Modeling the Effective Thermal Conductivity of Composites With Imperfect Contact Matrix/Fiber," Int. Commun. Heat Mass Transfer, 20, pp. 111-121.
9. Ramani, K., and Vaidyanathan A., 1995, "Finite Element Analysis of Effective Thermal Conductivity of Filled Polymeric Composites," J. Compos. Mater., 29, pp. 1725-1740.
10. Zou, M., Yu, B., and Zhang, D., 2002, "An Analytical Solution for Transverse Thermal Conductivity of Unidirectional Fibre Composites With Thermal Barrier," J. Phys. D, 35, pp. 1867-1874.
11. Garnier, B., Dupuis, T., Gilles, I., Bardon, J., and Danes, F., 2002, "Thermal Contact Resistance Between Matrix and Particle in Composite Materials, Measured by a Thermal Microscopic Method Using a Semi-Intrinsic Thermocouple," Proc. of 12th Int. Heat Transfer Conf., Grenoble, Vol. 4, J. Taine, eds., Elsevier, New York, pp. 9-14.
12. Benveniste, Y., and Miloh, T., 1986, "Effective Thermal Conductivity of Composites With Imperfect Thermal Contact at Constituent Interfaces," Int. J. Eng. Sci., 24, pp. 1537-1532.
13. Benveniste, Y., 1987, "Effective Thermal Conductivity of Composites With a Thermal Contact Resistance Between Constituents: Non-Dilute Case," J. Appl. Phys., 61, pp. 2840-2943.
14. Hasselman, D., and Johnson, L., 1987, "Effective Conductivity of Composites With Interfacial Thermal Resistance." J. Compos. Mater., 21, pp. 508-515.
15. Chiew, Y., and Glandt, E., 1987, "Effective Conductivity of Dispersions: Effect of Resistance at the Surfaces of Particles," Chem. Eng. Sci., 42, pp. 2677-2685.
16. Wang, J., and Yi, X., 2004, "Effect of Interfacial Thermal Barrier Resistance and Particle Shape on the [Effective] Thermal Conductivity of AIN/Polyimide Composites," Compos. Sci. Technol., 64, pp. 1623-1628.
17. Davis, A., and Brenner, H., 1997, "Use of Boundary Conditions of the 3rd Kind to Model Heat Conduction Between Two Proximate Rough Surfaces Separated by an Insulator," Int. J. Heat Mass Transfer, 40, pp. 1459-1465.
18. Cheng, H., and Torquato, S., 1997, "Effective Conductivity of Periodic Arrays of Spheres With Interfacial Resistance," Proc. R. Soc. London, Set. A, 453, pp. 145-161.
19. Danes, F., Garnier, B., Dupuis, T., Lerendu, P., and Nguyen, T., 2005, "Non-Uniformity of the Filler Concentration and of the Transverse Thermal and Electrical Conductivities of Filled Polymer Plates," Compos. Sci. Technol., 65, pp. 945-951.
20. Cruz, M., 1998, "Effective Conductivity Computation in 3-D Ordered Composites With a Thermally Conducting Disperse Phase," Proc. of 11th Int. Heat Transfer Conf., Kiongju, Korea, Taylor and Francis, New York, Vol. 7, pp. 9-14.
21. Botterill, J., Salway, A., and Teoman, Y., 1989, "Effective Thermal Conductivity of Granular Beds by High Temperatures, 2: Models and Prediction," Int. J. Heat Mass Transfer, 32, pp. 595-609.
22. Springer, G., and Tsai, S., 1967, "Thermal Conductivities of [Containing Fibres Oriented] Unidirectional Materials," J. Compos. Mater., 1, pp. 166-173.
23. Islam, M., and Pramila, A., 1999, "Thermal Conductivity of Fiber Reinforced Composites by [2D] Finite Elements Method," J. Compos. Mater., 33, pp. 1699-1715.
24. McKenzie, D., and McPhedran, R., 1977, "Exact Modeling of Cubic Lattice Permittivity and Conductivity," Nature (London), 265, pp. 128-129.
25. McPhedran, R., and McKenzie, D., 1978, "Thermal Conductivity of Lattices of Spheres. 1: The Simple Cubic Lattice," Proc. R. Soc. London, Ser. A, 359, pp. 45-63.
26. McKenzie, D., McPhedran, R., and Derrick, G., 1978, "Thermal Conductivity of Lattices of Spheres. 2: The Body Centered and Face Centered Cubic Lattices," Proc. R. Soc. London, Ser. A, 362, pp. 211-232.
27. Sangani, A., and Acrivos, A., 1982, "Effective Conductivity of a Periodical Array of Spheres," Proc. R. Soc. London, Ser. A, 386, pp. 263-275.
28. Malyshev, V., and Malyshev, P., 1987, "Estimation of the Dielectric Permittivity of a Periodic Array of Solid Bodies," Doklady Akad. Nauk Ukrain. SSR, Ser. AN, 12, pp. 48-53.
29. McPhedran, R., and Milton, G., 1981, "Bounds and Exact Theories for the Transport Properties of Inhomogeneous Media," Appl. Phys. A: Solids Surf., 26, pp. 207-220.
30. Batchelor, G., and O'Brien, R., 1977, "Thermal or Electrical Conduction Through a Granular Material," Proc. R. Soc. London, Ser. A, 355, pp. 313-323.
31. Comsol 2005, COMSOL Multiphysics, User's Guide v3.2, http:// www.comsol.com/
32. Lu. K., and Kou, S., 1993, "The Effective Thermal Conductivity of Porous Material With Spherical Inclusions in Tetragonal or Simple Cubic Array," Int. Commun. Heat Mass Transfer, 20, pp. 489-500.