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

Author:

Graham Samuel1,McDowell David L.2

Affiliation:

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

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

Abstract

Estimation of the transverse thermal conductivity of continuous fiber reinforced composites containing a random fiber distribution with imperfect interfaces was performed using finite element analysis. FEA results were compared with the classical solution of Hasselman and Johnson to determine limits of applicability. The results show that the Hasselman and Johnson model predicts the effective thermal conductivity within 3 percent of the numerical estimates for interfacial conductance values of 1×10−2−1×103W/m2K, fiber-matrix conductivity ratios between 1 and 100, and fiber volume fractions up to 50 percent which are properties typical of ceramic composites. The results show that the applicability of the classical dilute concentration model can not be determined by constituent volume fraction, but by the degree of interaction between the microstructural heterogeneities.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference20 articles.

1. Hasselman, D. P. H., and Johnson, L. F., 1987, “Effective Thermal Conductivity of Composites with Interfacial Thermal Barrier Resistance,” J. Compos. Mater., 21, pp. 508–515.

2. Graham, S., 1999, “The Effective Thermal Conductivity of Damaged Composites,” Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA.

3. Lord Rayleigh, W. 1892, “On the Influence of Obstacles Arranged in Rectangular Order Upon the Properties of a Medium,” Philos. Mag., 34, pp. 481–502.

4. Cha, W., and Beck, J. V., 1989, “Numerical Study of Thermal Conductivity of Fiber-Matrix Composite Materials,” in Design and Manufacturing of Advanced Composites, ASM International, pp. 219–225.

5. Hill, R. , 1967, “The Essential Structure of Constitutive Laws for Metal Composites and Polycrystals,” J. Mech. Phys. Solids, 15, pp. 79–95.

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