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## Problem description

## Results and evaluation

## References

We solve a thermo-mechanical homogeneous model in cube domain. The dimensions of this cube model are 1 m in all directions. The boundary conditions and temperature loadings, as well as the material can refer Chapter 14 in Kolditz et al. \cite Kolditz2012 for detailed problem description.

Result showing temperature and stresses development with time in the centre node of the model:

The analytical solution of stresses after heating is: \[\begin{equation} \sigma_{xx} = \sigma_{yy} = \sigma_{zz} = - \frac{\alpha \Delta T E}{1 - 2 \nu} = - 3.260869\, \textrm{MPa} \end{equation}\]

The relative error between the numerical simulation and the analytical solution is 9.2⋅10^{-13}.

Kolditz, O. and
Görke, U.-J. and
Shao, H. and
Wang, W.
(2012):
*Thermo-Hydro-Mechanical-Chemical Processes in Porous Media - Benchmarks and Examples*.
vol. 86,
ISBN: 978-3-642-27176-2,
Springer,
DOI:
10.1007/978-3-642-27177-9

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