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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 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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