1. Reference problem#

1.1. Geometry#

A cylindrical shell (1/4 cylinder) of height \(h\mathrm{=}40\) and radius \(R\mathrm{=}10\) and thickness \(e\mathrm{=}0.2\) is embedded on its center line and subjected to internal pressure \(p\mathrm{=}2\).

It is meshed twice:

\(\mathit{ma1}\): \(7\mathrm{\times }14\)

QUAD4

\(\mathit{ma2}\): \(8\mathrm{\times }16\mathrm{\times }2\)

TRIA6
_images/100000000000015D000001FF4344BADABB42C6E6.png _images/100000000000015E0000020615E629ACDEA4FB02.png

\(\mathit{ma1}\)

\(\mathit{ma2}\)

1.2. Material properties#

\(E\mathrm{=}1.{10}^{6}\)

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

1.3. Boundary conditions, loading#

The group of nodes \(\mathit{AB1}\) is embedded (the three movements and the three rotations are blocked).

\[\]

: label: EQ-None

mathit {DX}mathrm {=}mathit {DY}mathit {DY}mathrm {=}mathit {DZ}mathrm {=} 0.

The shell is subjected to an internal pressure \(p\mathrm{=}2\).

1.4. Validated functionalities#

The validation concerns the “ELEM” method in the case of surface cells immersed in the \(\mathit{R3}\) space. We also test the VIS_A_VIS keyword for the “ELEM” method.