Heat Conduction in Anisotropic Medium with Perfectly Conductive Thread-Like Inclusions

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...

Full description

Bibliographic Details
Main Authors: Sulym Heorhiy, Ilchuk Nataliia, Pasternak Iaroslav
Format: Article
Language:English
Published: Sciendo 2019-12-01
Series:Acta Mechanica et Automatica
Subjects:
Online Access:https://doi.org/10.2478/ama-2019-0034
Description
Summary: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.
ISSN:2300-5319