1. Reference problem#

1.1. Geometry#

The model consists of two hemispheres. We choose to treat the problem axisymmetric, so we will only model quarters of a disk. The geometric data are as follows:

  • Radius of the spheres: \(R\mathrm{=}50\mathit{mm}\)

_images/Shape1.gif

xxxx

yyyy

1.2. Material properties#

The material is linear elastic:

  • Young’s module: \(E\mathrm{=}20000\mathit{MPa}\)

  • Poisson’s ratio: \(\nu \mathrm{=}0.3\)

1.3. Boundary conditions and loads#

  • Next displacement \(\mathit{DX}\) stuck on the \(\mathit{A1A2}\) axis (this condition is implicit in axisymmetry, it is nevertheless imposed for points that would not be perfectly on the axis)

  • Next move \(\mathit{DY}\) imposed:

\(+2\mathit{mm}\) out of \(\mathit{A1B1}\)

\(\mathrm{-}2\mathit{mm}\) out of \(\mathit{A2B2}\)