1. Reference problem#

1.1. Geometry#

_images/Shape1.gif

Thickness = \(\mathrm{0.1m}\).

1.2. Material properties#

The material is isotropic elastic whose properties are:

  • \(E\mathrm{=}20000\mathit{Pa}\)

  • \(\nu \mathrm{=}0.3\)

  • \(\alpha \mathrm{=}{10}^{\mathrm{-}5}\mathrm{/}°C\)

1.3. Boundary conditions and loads#

Boundary conditions:

  • On edges \(\mathit{AB}\) and \(\mathit{CD}\): \(\mathit{DX}\mathrm{=}\mathit{DZ}\mathrm{=}0\)

  • On edge \(\mathit{BC}\): \(\mathit{DY}\mathrm{=}0\)

Loading

  • The load applied is a loading temperature

    • Constant following \(X\) and \(Z\)

    • Variable along the \(Y\) axis: \(T(Y)\mathrm{=}\mathrm{50Y}\mathrm{-}50\)

_images/Shape2.gif

1.4. Initial conditions#

Néant