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dc.contributorVirginia Tech. Engineering Science and Mechanics Departmenten_US
dc.contributorUniversity of Tehran. College of Engineering. School of Mechanical Engineeringen_US
dc.contributorGeorgia Institute of Technology. School of Materials Science and Engineeringen_US
dc.contributor.authorSafdari, Masouden_US
dc.contributor.authorBaniassadi, Majiden_US
dc.contributor.authorGarmestani, Hamiden_US
dc.contributor.authorAl-Haik, Marwan S.en_US
dc.date.accessioned2015-06-01T16:10:46Z
dc.date.available2015-06-01T16:10:46Z
dc.date.issued2012-12-01
dc.identifier.citationSafdari, Masoud, Baniassadi, Majid, Garmestani, Hamid, Al-Haik, Marwan S. (2012). A modified strong-contrast expansion for estimating the effective thermal conductivity of multiphase heterogeneous materials. Journal of Applied Physics, 112(11). doi: 10.1063/1.4768467en_US
dc.identifier.issn0021-8979en_US
dc.identifier.urihttp://hdl.handle.net/10919/52876
dc.description.abstractTo evaluate the effective thermal conductivity of a general anisotropic multiphase microstructure, a modified version of statistical strong-contrast expansions is formulated here. The proposed method takes into account the shape, orientation, and distribution of each phase through two-point and three-point correlation functions. By applying a recently developed method, three-point correlation functions are approximated from the two-point correlation functions. Numerically, it is shown that for high contrast constituents, the solution of the third-order strong-contrast expansions is very sensitive to the selection of the reference medium. A technique is proposed to minimize the sensitivity of the solution. To establish the validity of the methods developed, the effective thermal conductivity of a number of isotropic and anisotropic two-phase and three-phase microstructures is evaluated and compared to their corresponding finite element (FE) simulations. Good agreement between the FE simulations and the proposed method predictions in the cases studied confirms its validity. When there are orders of magnitude disparity between the properties of the constituents, the developed method can be applied to better estimate the effective thermal conductivity of the multiphase heterogeneous materials in comparison with previous strong contrast model and other homogeneous methods. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4768467]en_US
dc.format.extent9 pagesen_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.publisherAmerican Institute of Physicsen_US
dc.subjectThermal conductivityen_US
dc.subjectMicrostructural propertiesen_US
dc.subjectCorrelation functionsen_US
dc.subjectFinite element methodsen_US
dc.subjectThermodynamic propertiesen_US
dc.titleA modified strong-contrast expansion for estimating the effective thermal conductivity of multiphase heterogeneous materialsen_US
dc.typeArticleen_US
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jap/112/11/10.1063/1.4768467en_US
dc.date.accessed2015-04-24en_US
dc.title.serialJournal of Applied Physicsen_US
dc.identifier.doihttps://doi.org/10.1063/1.4768467
dc.type.dcmitypeTexten_US


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