Heat conduction of a spheroidal inhomogeneity with imperfectly bonded interface
Heat conduction of a spheroidal inhomogeneity with imperfectly bonded interface
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DOI：
10.1063/1.1587886
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发表时间：
2003-07
影响因子：
3.2
通讯作者：
D. Duschlbauer;H. Pettermann;H. Böhm
中科院分区：
文献类型：
--
作者：
D. Duschlbauer;H. Pettermann;H. Böhm
An analytical approach is presented for solving the steady state thermal conductivity problem for the following configuration. An infinite matrix material contains a single inhomogeneous spheroidal inclusion and a thermal resistance is present at the pertinent interface. The matrix shows isotropic conductivity while the inclusion is transversely isotropic, the principal material axes being aligned with the spheroid. Analytical expressions are derived for the local gradient fields in the matrix and in the inclusion as well as for the temperature mismatch along the interface. An analytical method is developed which enables replacement of the original imperfectly bonded inclusion by a less conductive but perfectly bonded inclusion. For the specific case of confocal distributions of the interface resistance the present approach yields the exact solution, i.e., the replacement operation leaves the matrix fields unchanged. For general spatial distributions of the interface properties (consistent with the sphero...
