Steady heat conduction of a material with an array of cylindrical holes in the nonlinear case

被引：0

作者：

Mityushev, V. ^{[1
]}

机构：

[1] Pedagogical Coll, Slupsk, Poland

来源：

| 1998年 / Oxford Univ Press, Oxford, United Kingdom卷 / 61期

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摘要：

We consider steady heat conduction of a material with an array of cylindrical holes. We assume that the thermal conductivity of the material depends on temperature. Using complex potentials we reduce the problem to the Hilbert boundary-value problem in a class of doubly periodic functions. The last problem is solved in closed form by a method of functional equations. Approximate and exact analytical formulae for the effective conductivity tensor are deduced.

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