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TECHNICAL PAPERS: Conduction Heat Transfer

Numerical Analysis of the Transverse Thermal Conductivity of Composites With Imperfect Interfaces

[+] Author and Article Information
Samuel Graham

Senior Member of Technical Staff, PO Box 969, MS 9404, Sandia National Laboratories, Livermore, CA 94568

David L. McDowell

Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405

J. Heat Transfer 125(3), 389-393 (May 20, 2003) (5 pages) doi:10.1115/1.1561814 History: Received December 19, 2001; Revised November 12, 2002; Online May 20, 2003
Copyright © 2003 by ASME
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References

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Ostoja-Starzewski,  M., Jasiuk,  I., Wang,  W., and Alzebdeh,  K., 1996, “Composites With Functionally Graded Interphases: Mesocontinuum Concept and Effective Transverse Conductivity,” Acta Mater., 44, pp. 2057–2066.
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Bhatt,  H., Donaldson,  K., and Hasselman,  D. P. H., 1990, “Role of the Interfacial Thermal Barrier in the Effective Thermal Diffusivity/Conductivity of SiC-Fiber-Reinforced Reaction-Bonded Silicon Nitride,” J. Am. Ceram. Soc., 73, pp. 312–316.
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Figures

Grahic Jump Location
Nondimensional plot of the difference between the finite element results and the Hasselman-Johnson model for Kf/Km=1,10,100, and Vf=0.5
Grahic Jump Location
Nondimensional plot of the difference between the finite element results and the Hasselman-Johnson model for Kf/Km=1,10,100, and Vf=0.4
Grahic Jump Location
Comparison of the finite element results for effective thermal conductivity with the analytical solution of Hasselman and Johnson. Results are for random-periodic distributions containing up to 50 percent fiber volume fraction and a Kf/Km ratio of 100.
Grahic Jump Location
Comparison of the finite element results for effective thermal conductivity with the analytical solution of Hasselman and Johnson. Results are for random-periodic distributions containing up to 50 percent fiber volume fraction and a Kf/Km ratio of 10.
Grahic Jump Location
Comparison of the finite element results for effective thermal conductivity with the analytical solution of Hasselman and Johnson. Results presented are for random-periodic distributions containing up to 50 percent fiber volume fraction and a Kf/Km ratio of 1.
Grahic Jump Location
Finite element mesh depicting the doubly-periodic region which is 1.5 times the characteristic dimension of the pseudo-RVE. Fiber volume fraction shown is 50 percent.
Grahic Jump Location
Depiction of pseudo-RVE and doubly periodic region which was modeled by finite elements. The characteristic dimension of the outer boundary is 1.5 times larger than the pseudo-RVE on which calculations were made for effective conductivity. Periodic boundary conditions were prescribed on the outer boundary.

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