Size dependent of the effective conductivity of composite with imperfect interfaces

Nguyen Trung Kien

Abstract


Based on the circle assemblage model, the effective properties of the inclusion with imperfect interface are derived. The equivalent inclusion is incorporated in the Fourier Transform algorithm to determine the effective conductivity of the composite with lowly conducting or highly conducting interface. The size effect is considered for both cases. Numerical results are provided to illustrate the dependence of the effective conductivity on the size of inhomogeneities.

Keywords


effective conductivity; imperfect interface; size effect

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References


P. L. Kapitza. The study of heat transfer in helium II. J. Phys. (USSR), 4, (1941), pp. 181–210.

Y. Benveniste and T. Miloh. The effective conductivity of composites with imperfect thermal contact at constituent interfaces. International Journal of Engineering Science, 24, (9), (1986), pp. 1537–1552. https://doi.org/10.1016/0020-7225(86)90162-x.

T. Miloh and Y. Benveniste. On the effective conductivity of composites with ellipsoidal inhomogeneities and highly conducting interfaces. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 455, (1987), (1999), pp. 2687–2706. https://doi.org/10.1098/rspa.1999.0422.

D. P. H. Hasselman and L. F. Johnson. Effective thermal conductivity of composites with interfacial thermal barrier resistance. Journal of Composite Materials, 21, (6), (1987), pp. 508–515. https://doi.org/10.1177/002199838702100602.

S. Torquato and M. D. Rintoul. Effect of the interface on the properties of composite media. Physical Review Letters, 75, (22), (1995). https://doi.org/10.1103/physrevlett.76.3241.

Z. Hashin. Thin interphase/imperfect interface in conduction. Journal of Applied Physics, 89, (4), (2001), pp. 2261–2267. https://doi.org/10.1063/1.1337936.

Q. H. Le, 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. https://doi.org/10.1016/j.ijheatmasstransfer.2012.11.028.

Q. H. Le, T. L. Phan, and G. Bonnet. Effective thermal conductivity of periodic composites with highly conducting imperfect interfaces. International Journal of Thermal Sciences, 50, (8), (2011), pp. 1428–1444. https://doi.org/10.1016/j.ijthermalsci.2011.03.009.

V. Monchiet. FFT based iterative schemes for composites conductors with non-overlapping fibers and Kapitza interface resistance. International Journal of Solids and Structures, 135, (2018), pp. 14–25. https://doi.org/10.1016/j.ijsolstr.2017.10.015.

D. C. Pham. Solutions for the conductivity of multi-coated spheres and spherically symmetric inclusion problems. Zeitschrift fur Angewandte Mathematik und Physik, 69, (1), (2018). https://doi.org/10.1007/s00033-017-0905-6.

T. K. Nguyen, V. L. Nguyen, and D. C. Pham. Effective conductivity of isotropic composite with Kapitza thermal resistance. Vietnam Journal of Mechanics, 40, (4), (2018), pp. 377–385. https://doi.org/10.15625/0866-7136/12936.

V. L. Nguyen and T. K. Nguyen. FFT simulations and multi-coated inclusion model for macroscopic conductivity of 2D suspensions of compound inclusions. Vietnam Journal of Mechanics, 37, (3), (2015), pp. 169–176. https://doi.org/10.15625/0866-7136/37/3/5096.




DOI: https://doi.org/10.15625/0866-7136/14875 Display counter: Abstract : 246 views. PDF : 99 views.

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