6. D modeling#

6.1. Characteristics of modeling#

It is a modeling in plane deformations (D_ PLAN).

Young’s modulus \({E}_{1}\mathrm{=}{E}_{2}\) and Poisson’s coefficients \({\nu }_{1}\mathrm{=}{\nu }_{2}\) are \(1.0E9\mathit{Pa}\) and \(0.2\) respectively. The pressure applied to the outer edge is \(1.0E7+\mathrm{10E5.cos}(2\theta )(\mathit{Pa})\), \(\theta\) being the polar angle.

6.2. Characteristics of the mesh#

The mesh (Figure 3.2-1) includes:

  • 232 SEG3 meshes;

  • 2900 QUAD8 meshes.

_images/10000000000002DB0000025E0048B1A303B6A8AE.png

Figure 6.2-a : The D modeling mesh

6.3. Tested sizes and results#

The minimum value and the maximum value of the movements and of the contact pressure at the interface are tested.

Identification

Reference Type

Reference Value

Tolerance

DX max (calcul_1)

analytics

0.00441230599078

0.1%

DY max (calcul_1)

analytics

0.00422769400922

0.1%

LAGS_C max (calcul_1)

analytics

-9852073.73272

0.1%

DX min (calcul_1)

analytics

-0.00441230599078

0.1%

DY min (calcul_1)

analytics

-0.00422769400922

0.1%

LAGS_C min (calcul_1)

analytics

-10147926.2673

0.1%

DX max (calcul_2)

analytics

0.00441230599078

0.1%

DY max (calcul_2)

analytics

0.00422769400922

0.1%

DX min (calcul_2)

analytics

-0.00441230599078

0.1%

DY min (calcul_2)

analytics

-0.00422769400922

0.1%