Benchmark solution
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Calculation method used for the reference solution
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The embedment at points :math:`A` and :math:`B` makes it possible to block the following deformations :math:`x`: :math:`{\varepsilon }_{\mathrm{xx}}=0`.

This blocking associated with the imposed temperature creates an axial compression stress along the :math:`x` axis. This constraint has the following expression:

:math:`{\sigma }_{\mathrm{xx}}=E\alpha ({T}_{\mathrm{reference}}-T)`


Reference quantities
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Constraint :math:`\mathrm{SIXX}`


Benchmark result
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For :math:`T=200°C` we get :math:`\mathrm{SIXX}=-0.6\text{E+09}\mathrm{Pa}`

For :math:`T=400°C` we get :math:`\mathrm{SIXX}=-1.20\text{E+09}\mathrm{Pa}`


Uncertainty about the solution
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Analytical solution