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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 105
PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY
Edited by:
Paper 65

Modelling of Heat Flow through a Three-Dimensional Crack in Thermoelasticity

J. Jaskowiec

Institute for Computational Civil Engineering, Faculty of Civil Engineering, Cracow University of Technology, Poland

Full Bibliographic Reference for this paper
J. Jaskowiec, "Modelling of Heat Flow through a Three-Dimensional Crack in Thermoelasticity", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 65, 2014. doi:10.4203/ccp.105.65
Keywords: fracture mechanics, thermoelasticity, thermo-cohesive crack, extended finite element method.

Summary
This paper is concerned with the modeling of of heat flow through a crack in a three-dimensional thermo-mechanical problem. In the model various aspects connected with heat flow through a crack are analysed. The analysis results in the model takes into account the following elements: crack opening, crack sliding, conductivity through bridging elements, conductivity through air between crack faces, the radiation of heat between crack faces. The model for the crack heat flow is coupled with a cohesion crack model. For the problem the global formulation is evaluated that is nonlinear as a result of nonlinear relations in the applied crack model. A linearisation procedure is proposed in the paper. In the approach presented both of the fields, namely displacement and temperature fields, are discontinuous along the crack surface. Therefore the solution procedure is based on extended finite element method that is applied for both mechanical and thermal parts. As a consequence the coupled linearised system of equations is evaluated.

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