On a coupled thermo-hydro-mechanical problem based on the thermo-visco-plastic rheology

Authors:
Jiří Nedoma
Affiliations:
Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague 8, Czech Republic
Venue:
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Year:
2003

Citing 2
Cited 1

Equations of magnetodynamics of incompressible thermo-Bingham's fluid under the gravity effect

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On a solvability of hydro-mechanical problem based on contact problem with visco-plastic friction in Bingham rheology

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Abstract

In the paper the thermo-hydro-mechanical (THM) model problem is investigated and analysed. The investigated THM problem will involve coupling processes considering heat, water and mechanical aspects from the global point of view. For a description of these aspects the coupled thermo-visco-plastic Bingham rheology will be applied. The problem leads to solving variational inequality problem. The semi-implicit scheme in time, conforming finite elements for the heat equation and non-conforming finite elements for the Bingham fluid equation are used. The solvability conditions are discussed. Numerical experiments are presented.