5. B modeling#

5.1. Characteristics of modeling#

_images/Object_8.svg

We are looking for a movement independent of \(z\); a single « row » of triangular elements is therefore sufficient.

Cut: 20 quadrangles=> 40 triangles DKT. Modeling DKT.

The thickness of the elements is divided into 17 layers for nonlinear calculation [R3.07.03]. Each layer has 3 integration points in upper layer skin, in the middle of each layer and in lower layer skin. The model studied here therefore includes 15 integration points in the thickness of the plate.

Boundary conditions:

TOUT: “OUI”: DZ = DRX = DRY = 0

Loading: nodal forces in \(C\) and \(D\) \(\mathrm{FX}=\mathrm{pXLh}/2=0.25N\).

5.2. Characteristics of the mesh#

Number of knots:

42

Number of meshes and type:

40 TRIA3

5.3. Tested values#

At order number 10 or \(t=1\).

Identification

Reference

\(\mathrm{DX}(X)\)

0.02743

\(\mathrm{DY}(X)\)

—0.2804

\(\mathrm{FX}(A)\)

—0.25

Note:

If we further increase the number of layers for thickness integration, the relative error on \(\mathrm{DX}(X)\) falls below 2%. For 19 diapers, an error of 1.29% is thus found. The one on \(\mathrm{DY}(X)\) remains the same.