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A versatile interface model for thermal conduction phenomena and its numerical implementation by XFEM

Article dans une revue avec comité de lecture
Auteur
LIU, JT
267816 Department of Applied Mechanics [Chengdu]
GU, ST
267816 Department of Applied Mechanics [Chengdu]
ccMONTEIRO, Eric
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/9750
DOI
10.1007/s00466-013-0933-9
Date
2014
Journal
Computational Mechanics

Résumé

A general interface model is presented for thermal conduction and characterized by two jump relations. The first one expresses that the temperature jump across an interface is proportional to the interfacial average of the normal heat flux while the second one states that the normal heat flux jump is proportional to the surface Laplacian of the interfacial average of the temperature. By varying the two scalar proportionality parameters, not only the Kapitza resistance and highly conducting interface models can be retrieved but also all the intermediate cases can be covered. The general interface model is numerically implemented by constructing its weak form and by using the level-set method and XFEM. The resulting numerical procedure, whose accuracy and robustness are thoroughly tested and discussed with the help of a benchmark problem, is shown to be efficient for solving the problem of thermal conduction in particulate composites with various imperfect interfaces.

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  • Laboratoire Procédés et Ingénierie en Mécanique et Matériaux (PIMM)

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    The present study aims to identify and characterize the development of microstructure and deformation characteristics of steel grades in semi-solid state which is affected by the change in morphologies of microstructure ...
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    Article dans une revue avec comité de lecture
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  • Effects Of Thermal Exchange On Material Flow During Steel Thixoextrusion Process 
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    Semi-solid processing is an innovative technology for near net-shape production of components, where the metallic alloys are processed in the semi-solid state. Taking advantage of the thixotropic behavior of alloys in the ...

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