Effective thermal conductivity of micro-inhomogeneous media containing imperfectly bonded ellipsoidal inclusions. (December 2016)

• Record Type: Journal Article
• Authors: Levin, V.; Markov, M.
• Is Part Of: International journal of engineering science. Volume 109(2016:Dec.)
• Page Start: 202
• Page End: 215
• Publication Date: 2016-12
• Subjects: Engineering -- Periodicals; Ingénierie -- Périodiques; Engineering; Periodicals; 620
• DOI: 10.1016/j.ijengsci.2016.09.012
• Languages: English
• ISSNs: 0020-7225

Abstract

Abstract: In this paper we consider the problem of thermal polarization of an ellipsoidal inclusion surrounded by a thin conducting layer. To calculate the effective thermal conductivity of a medium containing such inclusions we use the homogenization scheme named the effective field method. The application of this scheme allows one to take into account the texture of micro-inhomogeneous medium. We obtained the solution for a set of parallel and randomly oriented ellipsoidal inclusions with a thin layer with surface conductivity. Our calculations show that the effective thermal conductivity depends on the size of inclusions.