1. Reference problem#

1.1. Geometry#

_images/10000000000003720000037DC91D65D858D48E4B.png

+————–+-+——————————–+—————————————————————–++ |Length |:|\(L\mathrm{=}4m\) |Position of the points :math:`E,F,G` | +--------------+-+--------------------------------+-----------------------------------------------------------------++ |Thickness |:|\(H\mathrm{=}\mathrm{0,1}m`| - :math:`E,F,G\) at a distance \({R}_{0}\) from the || + + + + axis ++ | | | | || +————–+-+——————————–+—————————————————————–++ |Average radius|:|:math:`{R}_{0}\mathrm{=}1m` | - :math:`G` halfway up || + + + + ++ | | | | || +————–+-+——————————–+—————————————————————–++

1.2. Material properties#

\(E\mathrm{=}2.1\mathrm{\times }{10}^{11}\mathit{Pa}\)

\(\nu \mathrm{=}0.3\)

\(\alpha \mathrm{=}0.12\mathrm{\times }{10}^{\mathrm{-}4}\mathrm{/}°C\)

1.3. Boundary conditions and loads#

  • Recessed sections \(\mathit{AB}\) and \(\mathit{CD}\)

  • Temperature field \(T\mathrm{=}\mathrm{cos}\theta +\mathrm{sin}2\theta\)

1.4. Initial conditions#

Not applicable for static analysis.