### Polarization versus Mori-Tanaka approximations for effective conductivity of isotropic composites

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

R. M. Christensen. Mechanics of composite materials. Wiley, New York, (1979).

S. Torquato. Random heterogeneous media. Springer, New York, (2002).

T. Mori and K. Tanaka. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica, 21, (5), (1973), pp. 571–574. doi:10.1016/0001-6160(73)90064-3.

H. Le-Quang, D. C. Pham, G. Bonnet, and Q. C. He. Estimations of the effective conductivity of anisotropic multiphase composites with imperfect interfaces. International Journal of Heat and Mass Transfer, 58, (1-2), (2013), pp. 175–187. doi:10.1016/j.ijheatmasstransfer.2012.11.028.

T. K. Nguyen, V. L. Nguyen, and D. C. Pham. Estimating effective conductivity of unidirectional transversely isotropic composites. Vietnam Journal of Mechanics, 35, (3), (2013), pp. 203–213. doi:10.15625/0866-7136/35/3/2767.

Q. H. Do, D. C. Pham, and A. B. Tran. Equivalent-inclusion approach for the conductivity of isotropic matrix composites with anisotropic inclusions. Vietnam Journal of Mechanics, 38, (4), (2016), pp. 239–248. doi:10.15625/0866-7136/6753.

D. C. Pham, A. B. Tran, and Q. H. Do. On the effective medium approximations for the properties of isotropic multicomponent matrix-based composites. International Journal of Engineering Science, 68, (2013), pp. 75–85. doi:10.1016/j.ijengsci.2013.03.007.

D. C. Pham and T. K. Nguyen. Polarization approximations for macroscopic conductivity of isotropic multicomponent materials. International Journal of Engineering Science, 97, (2015), pp. 26–39. doi:10.1016/j.ijengsci.2015.08.006.

A. Norris. An examination of the Mori–Tanaka effective medium approximation for multiphase composites. Journal of Applied Mechanics, 56, (1), (1989), pp. 83–88. doi:10.1115/1.3176070.

Z. Hashin and S. Shtrikman. A variational approach to the theory of the effective magnetic permeability of multiphase materials. Journal of Applied Physics, 33, (10), (1962), pp. 3125–3131. doi:10.1063/1.1728579.

DOI: https://doi.org/10.15625/0866-7136/10572

### Refbacks

- There are currently no refbacks.

3rd Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam Tel: (+84) 24 3791 7103 Email: vjmech@vjs.ac.vn |