Heat conduction in anisotropic medium with perfectly conductive thread-like inclusions

• Autorzy: Sulym Heorhiy , Ilchuk Nataliia , Pasternak Iaroslav

Identyfikatory

DOI

10.2478/ama-2019-0034

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

thread-like inclusion; steady-state heat conduction; anisotropy; boundary integral equation; hypersingular

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2019
• Tom: Vol. 13, no. 4
• Strony: 251--254
• Opis fizyczny: Bibliogr. 17 poz., rys., wykr.

Twórcy

autor

Sulym Heorhiy

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

autor

Ilchuk Nataliia

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

autor

Pasternak Iaroslav

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

Bibliografia

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Uwagi

The present paper is financially supported by the Ministry of Science and Higher Education of Poland (research project No S/WM/4/2017) and realised in Bialystok University of Technology

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).