1. Reference problem#

1.1. Geometry#

The symmetry of the problem makes it possible to model a quarter cylinder of length \(L\), with symmetry conditions specific to the lower edge.

\(L=\mathrm{2m}\)

Medium radius \(R=\mathrm{2m}\)

Thickness \(e=\mathrm{0.02m}\)

The properties of the material constituting the plate are:

\(E={2.10}^{11}\mathrm{Pa}\)	Young’s module
\(\nu =0.3\)	Poisson’s ratio

Charging:
Uniformly distributed pressure of \({p}_{\mathrm{cr}}=1.\mathrm{Pa}\) on the cylindrical part.
Symmetry conditions:
on \(\mathrm{AB}\): DZ = 0
on \(\mathrm{BC}\): DX=0
on \(\mathrm{DA}\): DY=0

Not applicable