Effective medium approximation for conductivity of coated-inclusion composites with anisotropic coating
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https://doi.org/10.15625/0866-7136/13717Keywords:
Coated-inclusion, effective conductivity, equivalent-inclusion approach, anisotropic coatingAbstract
Effective medium approximations are constructed in this paper to estimate the macroscopic conductivity of coated-inclusion composites with thin anisotropic coating. The two-phase coated-inclusion are substituted by equivalent one-phase inclusion, using the multi-coated spheres assemblage and the differential substitution approaches. Then, the usual effective medium approximation schemes are applied to the equivalent medium to estimate the conductivity of original three-phase composites. The results obtained were compared with the numerical simulation by finite element method in 2D show the effectiveness of the methods.
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References
E. Hervé and A. Zaoui. Elastic behaviour of multiply coated fibre-reinforced composites. International Journal of Engineering Science, 33, (10), (1995), pp. 1419–1433. https://doi.org/10.1016/0020-7225(95)00008-l.
Y. P. Qiu and G. J. Weng. Elastic moduli of thickly coated particle and fiber-reinforced composites. Journal of Applied Mechanics, 58, (2), (1991), pp. 388–398. https://doi.org/10.1115/1.2897198.
C.-W. Nan, R. Birringer, D. R. Clarke, and H. Gleiter. Effective thermal conductivity of particulate composites with interfacial thermal resistance. Journal of Applied Physics, 81, (10), (1997), pp. 6692–6699. https://doi.org/10.1063/1.365209.
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. https://doi.org/10.1016/j.ijheatmasstransfer.2012.11.028.
I. V. Andrianov, A. L. Kalamkarov, and G. A. Starushenko. Three-phase model for a fiber-reinforced composite material. Composite Structures, 95, (2013), pp. 95–104. https://doi.org/10.1016/j.compstruct.2012.07.003.
M. Hori and S. Nemat-Nasser. Double-inclusion model and overall moduli of multi-phase composites. Mechanics of Materials, 14, (3), (1993), pp. 189–206. https://doi.org/10.1115/1.2904292.
D. S. Liu and D. Y. Chiou. Modeling of inclusions with interphases in heterogeneous material using the infinite element method. Computational Materials Science, 31, (3-4), (2004), pp. 405–420. https://doi.org/10.1016/j.commatsci.2004.05.002.
Y. M. Shabana. A micromechanical model for composites containing multi-layered interphases. Composite Structures, 101, (2013), pp. 265–273. https://doi.org/10.1016/j.compstruct.2013.02.008.
P. D. Chinh and T. A. Binh. Equivalent-inclusion approach for the conductivity of isotropic matrix composites with anisotropic inclusions. Vietnam Journal of Mechanics, 38, (4), (2016), pp. 239–248. https://doi.org/10.15625/0866-7136/6753.
T. K. Nguyen and D. C. Pham. Equivalent-inclusion approach and effective medium estimates for elastic moduli of two-dimensional suspensions of compound inclusions. Philosophical Magazine, 94, (36), (2014), pp. 4138–4156. https://doi.org/10.1080/14786435.2014.978831.
D. C. Pham and B. V. Tran. Equivalent-inclusion approach and effective medium approximations for conductivity of coated-inclusion composites. European Journal of Mechanics-A/Solids, 47, (2014), pp. 341–348. https://doi.org/10.1016/j.euromechsol.2014.05.010.
B. V. Tran, D. C. Pham, and T. H. G. Nguyen. Equivalent-inclusion approach and effective medium approximations for elastic moduli of compound-inclusion composites. Archive of Applied Mechanics, 85, (12), (2015), pp. 1983–1995. https://doi.org/10.1007/s00419-015-1031-6.
T. N. Quyet, P. D. Chinh, and T. A. Binh. Equivalent-inclusion approach for estimating the elastic moduli of matrix composites with non-circular inclusions. Vietnam Journal of Mechanics, 37, (2), (2015), pp. 123–132. https://doi.org/10.15625/0866-7136/37/2/5659.
B.-V. Tran, D.-C. Pham, and T.-H.-G. Nguyen. Effective medium approximation for conductivity of unidirectional coated-fiber composites. Computational Thermal Sciences: An International Journal, 9, (1), (2017), pp. 63–76. https://doi.org/10.1615/computthermalscien.2017015911.
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. https://doi.org/10.1063/1.1728579.
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), p. 13. https://doi.org/10.1007/s00033-017-0905-6.
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