摘要
Within the framework of thermal conduction, we consider a functionally graded isotropic infinite medium containing a spherical inclusion which undergoes prescribed uniform heat flux-free temperature gradient. In this research the thermal conductivity is assumed to be exponentially varied in space. Analytical expressions in series form for the temperature and the second-order Eshelby's conduction tensor inside and outside the spherical inclusion are obtained. Our analytical results indicate that the second-order Eshelby's conduction tensor is non-uniform within the spherical inclusion and that it is in general not symmetric. Furthermore our numerical results quantitatively demonstrate how the Eshelby's tensor within the spherical inclusion is non-uniformly distributed due to the spatially varying thermal conductivity.
原文 | English |
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頁(從 - 到) | 955-961 |
頁數 | 7 |
期刊 | European Journal of Mechanics, A/Solids |
卷 | 28 |
發行號 | 5 |
DOIs | |
出版狀態 | Published - 9月 2009 |