4. B modeling#

4.1. Characteristics of modeling#

MEC3TR7H (degenerate 3D shell)

_images/10000A70000069BB00001B14A58729DAFC3CEB23.svg

modeling COQUE_3D - regular but not symmetric mesh.

The problem data corresponds to a thin shell

which is severe for finite element MECQTR7H (case of transverse shear blockage).

4.2. Characteristics of the mesh#

Number of knots: 33

Number of meshes and type: 20 TRIA7

4.3. Tested features#

The geometric nonlinear element COQUE_3D,
The static algorithm for updating large rotations GROT_GDEP from STAT_NON_LINE,
The use of a follower pressure.

4.4. B modeling results#

History of horizontal displacement \(\mathit{DX}\) (\(m\)) in the middle of \(\mathit{P1P2}\)

Moment

Press p

Reference (Samcef)

		-7.36640 E+00
		-1.35098 E+01

History of vertical displacement \(\mathit{DZ}\) (\(m\)) in the middle of \(\mathit{P1P2}\)

Moment

Press \(P\)

Reference (Samcef)

		-8.44920 E+00
		-5.78828 E+00

Horizontal rotation story \(\mathit{DRY}\) in the middle of \(\mathit{P1P2}\)

Moment

Press \(p\)

Reference (Samcef)

		1.69200 E+00
		2.82168 E+00

4.5. notes#

The mesh in modeling B is a regular but not symmetric mesh. The reference solution mesh is built with 20 quadrangles with 4 nodes each.

We use the value of COEF_RIGI_DRZ = 0.001.

Although the problem being studied is a thin shell problem

, the triangle elements reach a high load level: 22 steps for 26 with the quadrangles. The solution with triangle elements is therefore very satisfactory.