6. C modeling#

6.1. Characteristics of modeling#

_images/Object_9.svg

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

Cut: 40 quadrangles DKQ. Modeling DKT.

The thickness of the elements is divided into 7 layers for the non-linear calculation [R3.07.03], in order to have a very high precision on the state of stresses in the thickness of the plate. 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 \(D\) \(\mathrm{FX}=\mathrm{pXLh}/2=0.25N\).

6.2. Characteristics of the mesh#

Number of nodes:

82

Number of meshes and type:

40 QUA4

6.3. Tested values#

At order number 10 be it, \(t=1\).

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 to integrate into the thickness the relative error on \(\mathrm{DX}(X)\) falls below 1%. The one on \(\mathrm{DY}(X)\) remains the same.