RESEARCH PAPER
Heat Conduction in Anisotropic Medium with Perfectly Conductive Thread-Like Inclusions
1
Bialystok University of Technology, Wiejska Str. 45C, 15-351 Bialystok, Poland
2
Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine
Submission date: 2019-05-21
Acceptance date: 2020-01-10
Online publication date: 2020-01-30
Publication date: 2019-12-01
Acta Mechanica et Automatica 2019;13(4):251-254
KEYWORDS
ABSTRACT
The paper presents a novel approach for the analysis of steady-state heat conduction of solids containing perfectly conductive thread-like inhomogeneities. Modelling of a thread-like heat conductive inhomogeneity is reduced to determination of density of heat distributed along a spatial curve, which replaces the inclusion. Corresponding boundary integral equations are obtained for anisotropic solids with thread-like inclusions. Non-integral terms are computed in a closed form. It is shown that, nevertheless the singularity of the equation is 1/r, it is hypersingular, since the kernel is symmetric. Boundary element approach is adopted for solution of the obtained equations. Numerical example is presented for a rectilinear conductive thread, which verifies derived boundary integral equations.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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