Paper Title:

Finite Element Verification of Transmission Conditions for 2D Heat Conduction Problems

Periodical Materials Science Forum (Volume 553)
Main Theme Diffusion in Solids and Liquids II, DSL-2006 II
Edited by Andreas Öchsner and José Grácio
Pages 93-99
DOI 10.4028/www.scientific.net/MSF.553.93
Citation Gennady Mishuris et al., 2007, Materials Science Forum, 553, 93
Online since August 2007
Authors Gennady Mishuris, Wiktoria Miszuris, Andreas Öchsner
Keywords Finite Element Model (FEM), Heat Transfer, Nonclassical Transmission Conditions, Numerical Modeling, Thin Layers
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Imperfect transmission conditions modelling a thin 2D intermediate layer between two bonded materials in a dissimilar strip have been derived and analytically analysed in another paper of this issue. In this paper, the validity of these transmission conditions for heat conduction problems has been investigated due to the finite element method (FEM) for various cases: namely, steady-state under uniform boundary conditions with constant or functional- dependent, i.e. temperature or spatial coordinate, conductivities of the interphase, non-uniform boundary conditions and finally for transient analysis. It is shown that the accuracy of the transmission conditions is excellent over the whole range of the interphase and that typical edge effects known from structural problems are not observable under the chosen problem parameters.

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