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Abstract

The conductivity of two-dimensional composites with fibers of graded anisotropic materials, whose conductivity profile in the radial direction is different from that in the tangential direction, is investigated in this paper. A formalism for treating the conducting properties of graded composites with anisotropic inclusions is proposed. The three model graded fibers, whose conductivities have the power-law, linear, and exponential profiles, respectively, are studied in detail. In these cases, the potentials in the host and fiber regions are both derived analytically. The effective conductivity for these kinds of graded composites is calculated based on the analytical solutions for graded fibers.

Keywords

anisotropic graded fiber graded composite gradient material

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References

Yamanuchi, M. , Koizumi, M. , Hirai, T. and Shiota, I. (1990). Proceedings of the First International Symposium on Functionally Gradient Materials, Sendai, Japan.

Holt, J.B. , Koizumi, M. , Hirai, T. and Munir, Z.A. (1993). Ceramic Transaction: Functionally Gradient Materials, Vol. 34, The American Ceramic Society, Westerville, OH.

Ilschner, B. and Cherradi, N. (1994). Proceedings of the Third International Symposium on Structural and Functional Gradient Materials, Presses Polytechniquies et Universitaires Romands, Lausanne, Switzerland.

Amada, S. (1995). Hierarchical Functionally Gradient Structures of Bamboo , Barley and Corn, Mater. Res. Bull., 20(1): 35-36 .

Watannable, R. (1995). Powder Processing of Functionally Gradient Materials , Mater. Res. Bull., 20(1): 32-34 .

Rabin, B.H. , Williamson, R.L. and Suresh, S. (1995). Fundamentals of Residual Stresses in Joints between Dissimilar Materials , Mater. Res. Bull., 20(1): 37-39 .

Erdogan, F. , Kaya, A.C. and Joseph, P.E. (1991). The Crack Problem in Bonded Nonhomogeneous Materials , J. Appl. Mech., 58(2): 410-418 .

Chen, Y.F. and Erdogan, F. (1996). The Interface Crack Problem for A Nonhomogeneous Coating Bonded to a Homogeneous Substrate , J. Mech. Phys. Solid, 44(5): 771-787 .

Stangl, G.C. and Miyamoto, Y. (1995). FGM Fabrication by Combustion Synthesis , Mater. Res. Bull., 20: 52-53 .

10.

Zhu, J.C. , Yin, Z.D. and Lai, Z.H. (1996). Fabrication and Microstructure of ZrO2-Ni Functional Gradient Material by Powder Metallurgy , J. Mater. Sci., 31: 5829-5834 .

11.

Parameswaran, V. and Shukla, A. (2000). Processing and Characterization of a Model Functionally Gradient Material , J. Mater. Sci., 35(1): 21-29 .

12.

Martin, P.A. (2002). On Functionally Graded Balls and Cones , J. Eng. Math., 42: 133-142 .

13.

Park, C.-W. , Lee, B.S. , Walker, J.K. and Choi, W.Y. (2000). A New Processing Method for the Fabrication of Cylindrical Objects with Radially Varying Properties , Ind. Eng. Chem. Res., 39(1): 79-83 .

14.

Manhart, P.K. and Blankenbecler, R. (1997). Fundamentals of Macro Axial Gradient Index Optical Design and Engineering , Opt. Eng., 36(6): 1607-1621 .

15.

Huang, J.P. , Yu, K.W. , Gu, G.Q. and Karttunen, M. (2003). Electrorotation in Graded Colloidal Suspensions , Phys. Rev., E67: 51405-1-5 .

16.

Dong, L. , Gu, G.Q. and Yu, K.W. (2003). First-principles Approach to Electric Response of Graded Spherical Particle , Phys. Rev., B67: 224205-1-5 .

17.

Dong, L. , Huang, J.P. , Yu, K.W and Gu, G.Q. (2004). Dielectric Response of Graded Spherical Particles of Anisotropic Materials , J. Appl. Phys., 95: 621-624 .

18.

Gu, G.Q. and Yu, K.W. (2003). Conductivities of Dilute Suspensions of Dilute Fibers , J. Appl. Phys., 94(5): 3376-3383 .

19.

Fuhr, G. and Luzmin, P.I. (1986). Behavior of Cells in Rotating Electric fields with Account to Surface Charges and Cell Structures , Biophys. J., 50: 789-795 .

20.

Jackson, J.D. (1975). Classical Electrodynamics, Wiley, New York .

21.

see also Andrews, G.E. , Askey, R. and Roy, R. (1999). Special Functions Cambridge University Press, Cambridge, UK .

22.

McPhedran, R.C. and McKenzie, D.R. (1978). The Conductivity of Lattices of Spheres. The Simple Cubic Lattice , In: Proc. R. Soc. London, Ser. A359, pp. 45-63 .

23.

Gu, G.Q. and Tao, R.B. (1988). A New Method for Evaluating the dc Effective Conductivities of Composites with Periodic Structure , Phys. Rev., B37: 8612-8617 .

Conductivity of Composites Containing Anisotropic Graded Fibers

Abstract

Keywords

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