Abstract
This article gives an overview of several problems describing the process of heat transfer in a composite with a thin layer. This layer shows a distinct nature in comparison with the media surrounding it (i.e. low conductive or highly conductive), and in addition is very thin, which may cause numerical instability in a model of such a composite. In order to tackle this issue we use asymptotic approach, so that in the model the thin layer is replaced by an interface of zero thickness and a set of transmission conditions that stand for the physical properties of the original layer. A number of numerical examples has been constructed to support and validate this method.
| Original language | English |
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| Title of host publication | Shell Structures: Theory and Applications Volume 4 |
| Subtitle of host publication | Proceedings of the 11th International Conference "Shell Structures: Theory and Applications", (SSTA 2017), October 11-13, 2017, Gdansk, Poland |
| Place of Publication | London |
| Publisher | Taylor & Francis |
| Pages | 53-56 |
| Number of pages | 4 |
| Volume | 4 |
| ISBN (Electronic) | 9781315166605, 1315166607 |
| ISBN (Print) | 9781138050457, 1138050458 |
| Publication status | Published - 28 Sept 2017 |
| Event | 11th International Conference Shell Structures: Theory and Applications - Gdansk, Poland Duration: 11 Oct 2017 → 13 Oct 2017 |
Conference
| Conference | 11th International Conference Shell Structures: Theory and Applications |
|---|---|
| Abbreviated title | SSTA 2017 |
| Country/Territory | Poland |
| City | Gdansk |
| Period | 11 Oct 2017 → 13 Oct 2017 |