4. B modeling#

4.1. Characteristics of modeling#

The modeling is identical to the modeling A, but in this case we will work with plane deformations (D_ PLAN) and, as already mentioned above, the Poisson coefficients no longer intervene in the solution.

The outer ring defines the master surface.

4.2. Characteristics of the mesh#

Idem modeling A.

4.3. Tested sizes and results#

The contact pressure (LAGS_C) is calculated for the node \(A\) with coordinates \((0.6\mathrm{,0}.0)\), the node that at the initial moment is located farthest to the right of the interface between the two rings.

Identification

Reference

LAGS_C at node \(A\)

\(p(t)\)

ANALYTIQUE

For a few steps of load, the calculated value is compared to that given by equation 1.5. The accuracy is less than 1%.

4.4. Comments#

_images/Object_99.png

Figure 4.4-1: evolution of the gap between the analytical solution and the solution given by Code_Aster for integration at nodes and Gauss points.

Idem modeling A.