Nonlinear transmission conditions for thin curvilinear low-conductive interphases
| Autor: | Daria Andreeva, Wiktoria Miszuris |
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| Rok vydání: | 2016 |
| Předmět: |
Curvilinear coordinates
Structural material Materials science General Physics and Astronomy 02 engineering and technology Mechanics Physics and Astronomy(all) 021001 nanoscience & nanotechnology Curvature Quantitative Biology::Genomics Finite element method Quantitative Biology::Subcellular Processes Nonlinear system 020303 mechanical engineering & transports Thermal conductivity Materials Science(all) 0203 mechanical engineering Mechanics of Materials Heat transfer General Materials Science Interphase 0210 nano-technology |
| Zdroj: | Continuum Mechanics and Thermodynamics. 29:345-358 |
| ISSN: | 1432-0959 0935-1175 |
| Popis: | In this paper, we consider the heat transfer problem in a cylindrical composite material with an adhesive interphase of closed curvilinear shape. The interphase exhibits nonlinear behaviour and at the same time has physical characteristics (size, thermal conductivity) that significantly vary from the properties of the surrounding components. As the latter complicates the direct use of FEM, we use asymptotic method to replace the interphase with an imperfect interface of zero thickness, preserving the essential features of the thermal behaviour of the interphase through the evaluated transmission conditions. Carefully designed numerical simulations verify their validity. We place special emphasis on the impact of geometric properties of the interphase, in particular, the curvature of its boundaries, on the accuracy of the conditions. |
| Databáze: | OpenAIRE |
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