Heat Conduction in Anisotropic Medium with Perfectly Conductive Thread-Like Inclusions-Reference-Cited by-同舟云学术

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

Published:2019-12-01 Issue:4 Volume:13 Page:251-254
ISSN:2300-5319
Container-title:Acta Mechanica et Automatica
language:en
Short-container-title:

Author:

Sulym Heorhiy¹,Ilchuk Nataliia²,Pasternak Iaroslav²

Affiliation:

1. Bialystok University of Technology , Wiejska Str. 45C, 15-351 Bialystok , Poland

2. Lutsk National Technical University , Lvivska Str. 75, 43018 Lutsk , Ukraine

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Mechanical Engineering,Control and Systems Engineering

Link

https://www.sciendo.com/pdf/10.2478/ama-2019-0034

Reference17 articles.

1. 1. Anufriev R., Nomura M. (2019), Coherent thermal conduction in silicon nanowires with periodic wings, Nanomaterials, 9, 142; doi:10.3390/nano9020142.10.3390/nano9020142

2. 2. Balandin A.A., Ghosh S., Nika D.L., Pokatilov E.P. (2010), Extraordinary thermal conductivity of graphene: possible applications in thermal management, ECS Trans., 28(5), 63–71.

3. 3. Berger J.R., Martin P.A., Mantič V., Gray L.J. (2005), Fundamental solutions for steady-state heat transfer in an exponentially graded anisotropic material, Z. angew. Math. Phys., 56, 293–303.

4. 4. Cepite D., Jakovics A. (2008), Modelling of a heat tranfer through the material with regular distributed elliptic cavities, HEAT & POWER AND THERMAL PHYSICS, 1, 56–66.

5. 5. Chao C.K., Chen C.K., Chen F.M. (2009), Analytical exact solutions of heat conduction problemsfor a three-phase elliptical composite, CMES, 47(3), 283–297.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Modeling of Deformable Thermoelastic Thread-Like Inclusions in Isotropic Media;Journal of Mathematical Sciences;2023-08

2. Thermoelasticity of solids containing thread-like inhomogeneities. I. Nondeformable thread-like inclusions;International Journal of Solids and Structures;2021-12

3. Modeling of deformable thermoelastic thread-like inclusions in isotropic medium;Matematychni Metody Ta Fizyko-Mekhanichni Polya;2021-03-30