1. Reference problem#

1.1. Geometry#

The geometry for this test is a square plate in plane \((x,y)\) rotated \(30°\) with respect to \(x\) around \(z\).

_images/Shape1.gif

Z

Y

_images/100001CE000014AC000014ACC2F60BD416CBDA3E.svg

**

_images/Object_1.svg

X

_images/Object_2.svg

We call

_images/Object_3.svg

the length of the deformed plate, we will note \(x,y,z\) the coordinates of the deformed configuration and \(X,Y,Z\) the coordinates of the initial configuration

1.2. Material properties#

We take

_images/Object_4.svg

1.3. Boundary conditions and mechanical loads#

We block nodes \(\mathit{No1}\), \(\mathit{No5}\), and \(\mathit{No2}\) so that \(\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0\),

and a local displacement \(\mathit{Dx}\mathrm{=}100.\) is imposed on the nodes \(\mathit{No3}\), \(\mathit{No4}\) and \(\mathit{No7}\).