3. Modeling A#

3.1. Characteristics of modeling#

It is a modeling in plane deformations (D_ PLAN). Absorbent borders are modeled by D_ PLAN_ABSO elements.

_images/100000000000033E0000025B48AE9902E4AAFA33.png

3.2. Characteristics of the mesh#

Number of knots: 646

Number of meshes and types: 600 QUAD4, 245 SEG2

Crown 1:

\({R}_{\text{inf}}=3.\)

\({R}_{\text{sup}}=10.\)

Crown 2:

\({R}_{\text{inf}}=5.\)

\({R}_{\text{sup}}=15.\)

Crown 3:

\({R}_{\text{inf}}=5.\)

\({R}_{\text{sup}}=18.\)

3.3. Boundary conditions#

Compulsory trips:

Node group \(\mathit{grnm}1\)

\(\mathit{DY}=0.\)

Node group \(\mathit{grnm}2\)

\(\mathit{DX}=0.\)

Node group \(\mathit{grnm}3\)

\(\mathit{DX}\mathrm{=}0.\) \(\mathit{DY}\mathrm{=}0.\)

3.4. Results#

The values tested are those of the \(G\) energy restoration rate on the various integration rings.

Identification

Reference Type

Reference

Tolerance \(\text{\%}\)

Instant \(t=2e-3\)

\(G\), crown no. 1

“ANALYTIQUE”

5.67700E5

1,4

\(G\), crown #2

“ANALYTIQUE”

5.67700E5

1,4

\(G\), crown #3

“ANALYTIQUE”

5.67700E5

1,4

Instant \(t=4e-3\)

\(G\), crown no. 1

“ANALYTIQUE”

1.135000E6

1.4

\(G\), crown no. 2

“ANALYTIQUE”

1.135000E6

1,4

\(G\), crown #3

“ANALYTIQUE”

1.135000E6

1,4

Instant \(t=6e-3\)

\(G\), crown no. 1

“ANALYTIQUE”

1.703000E6

1,4

\(G\), crown #2

“ANALYTIQUE”

1.703000E6

1,4

\(G\), crown #3

“ANALYTIQUE”

1.703000E6

1.703000E6

1,4