Effective conductivity of composites containing aligned spheroidal inclusions of finite conductivity

Journal of Applied Physics

Volumn 79, Issue 9, 1996, Pages 6761-6769

  Lu, Shih Yuan ^a   Lin, Hway Chi ^a  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASPECT RATIO; BOUNDARY VALUE PROBLEMS; COMPOSITE MATERIALS; HEAT CONDUCTION; HEAT FLUX; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; MICROSTRUCTURE; TEMPERATURE; TENSORS; VOLUME FRACTION;

ALIGNED SPHEROIDAL INCLUSIONS; BOUNDARY COLLOCATION METHOD; EFFECTIVE CONDUCTIVITY TENSOR; EQUIVALENT INCLUSION ESTIMATE; OBLATE SPHEROIDAL; PAIR INTERACTION; PROLATE SPHEROIDAL SYSTEM; VIRIAL EXPANSION;

THERMAL CONDUCTIVITY;

EID: 0030151361     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.361498     Document Type: Article

References (23)

1. G. K. Batchelor, Ann. Rev. Fluid Mech. 6, 227 (1974).
2. S. Torquato, Rev. Chem. Eng. 4, 151 (1987).
3. J. R. Willis, J. Mech. Phys. Solids 25, 185 (1977).
4. Z. Hashin and S. Shtrikman, J. Appl. Phys. 33, 3125 (1962).
5. S. Torquato and F. Lado, J. Chem. Phys. 94, 4453 (1991).
6. H. Hatta and M. Taya, Int. J. Eng. Sci. 24, 1159 (1986).
7. J. D. Eshelby, Proc. R. Soc. London Ser. A 241, 376 (1957).
8. J. D. Eshelby, Proc. R. Soc. London Ser. A 252, 561 (1959).
9. S.-Y. Lu and S. Kim, AIChE J. 36, 927 (1990).
10. I. C. Kim and S. Torquato, J. Appl. Phys. 74, 1844 (1993).
11. L. H. Zheng and Y. C. Chiew, J. Chem. Phys. 90, 322 (1989).
12. S.-Y. Lu, Ph.D. thesis, University of Wisconsin at Madison, 1988.
13. S.-Y. Lu and S. Kim, J. Eng. Math. 21, 179 (1987).
14. S.-Y. Lu, J. Appl. Phys. 76, 2641 (1994).
15. S.-Y. Lu, J. Compos. Mater. 29, 483 (1995).
16. S.-Y. Lu and H.-C. Lin, Chem. Eng. Sci. 50, 2611 (1995).
17. E. W. Hobson, Spherical and Ellipsoidal Harmonics (Chelsea, New York, 1965).
18. M. A. Lamb, Hydrodynamics (Dover, New York, 1945).
19. J. L. Lebowitz and J. W. Perram, Mol. Phys. 50, 1207 (1983).
20. L. Verlet and J. J. Weis, Phys. Rev. A 5, 939 (1972).
21. D. P. H. Hasselman and L. F. Johnson, J. Compos. Mater. 21, 508 (1987).
22. D. J. Jeffrey, Proc. R. Soc. London Ser. A 335, 355 (1973).
23. Y. C. Chiew and E. D. Glandt, J. Colloid Interface Sci. 94, 90 (1983).