1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

The symmetry of the problem makes it possible to model a half-cylinder of length \(L/2\), plugged at one of its ends, with symmetry conditions specific to the lower edge.

1.2. Material properties#

The properties of the material constituting the plate are:

\(E=2.{10}^{11}\mathrm{Pa}\)

Young’s module

\(\nu =0.3\)

Poisson’s ratio

1.3. Boundary conditions and loads#

  • Charging:

  • Uniformly distributed pressure of \({p}_{\mathit{cr}}\mathrm{=}1.523{10}^{6}\mathit{Pa}\) on the cylindrical part. This pressure corresponds to the value of the critical load,

  • effort distributed over the outline of the background \(N\mathrm{=}0.5\mathrm{\times }R\mathrm{\cdot }{p}_{\mathit{cr}}\mathrm{=}3.8075{10}^{4}N\mathrm{/}m\).

1.4. Initial conditions#

Not applicable