1. Reference problem#

1.1. Geometry#

We consider a plate of dimension 1.

_images/100002000000018E00000182449AE8230842E889.png

Figure 1.1-1: Test case diagram

1.2. Boundary conditions and loads#

We consider that the problem remains flat so \(\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0\).

A symmetry condition is applied on sides \(\mathit{N1N2}\) and \(\mathit{N1N3}\).

A uniform displacement along \(y\) equal to \(\mathrm{-}\mathrm{0,002}\) is applied to \(\mathit{N2N3}\).

A uniform displacement along \(x\) equal to \(\mathrm{0,0002}\) is applied to \(\mathit{N3N4}\).

1.3. Material properties#

\(E\mathrm{=}\mathrm{2,1}\mathrm{\cdot }{10}^{6}\mathit{MPa}\)

\(\nu \mathrm{=}\mathrm{0,2}\)

\({E}_{T}\mathrm{=}\mathrm{-}{10}^{4}\mathit{MPa}\)

\({\sigma }_{y}^{t}\mathrm{=}3\mathit{MPa}\)

\({\sigma }_{y}^{c}\mathrm{=}30\mathit{MPa}\)

\({\varepsilon }_{c}\mathrm{=}{10}^{\mathrm{-}3}\)

\(n\mathrm{=}2\)