1. Reference problem#

1.1. Geometry#

Circular ring

_images/100000000000011C0000014453F4FEFB185DC06A.png

Figure 1-a : Circular ring.

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

The (solid) section is a circle with radius \(\mathrm{0,01}m\).

1.2. Material properties#

Young’s module:

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

Poisson’s ratio:

\(\nu \mathrm{=}0.3\)

1.3. Boundary conditions and loading#

Boundary condition:

\(\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}0\) on point \(A\)

\(\mathrm{DY}=\mathrm{DZ}=0\) on point \(C\)

Charging:

on \(B\), \(F\mathrm{=}1N\),

on \(D\), \(F=-1N\).