3. Modeling A#

3.1. Characteristics of modeling#

COQUE_3D

_images/1000000000000447000003137BAA9D5F4C915881.png

3.2. Characteristics of the mesh#

Number of knots: 1480

Number of meshes and type: 360 QUAD9

3.3. Quantities tested and results of modeling A#

To compare the results of the linear elastic calculation (MECA_STATIQUE) with the reference solution, the displacements of 4 nodes of the pipe section corresponding to point \(D\) (\(\mathrm{CERCLE2}\)) are compared.

Load increment

\(\mathrm{DY}\) from point \(D\)

\(\mathrm{Mz}=\mathrm{3.08670D}+\mathrm{06Nm}\)

\(\mathrm{DY}\) (\(m\))

Linear calculation:

Location

Value to test

Test type

Tolerance

\(\mathit{N1157}\) — \(\mathit{DX}\)

6.51271E-04

NON_REGRESSION

6.49E-06%

\(\mathit{N1104}\) — \(\mathit{DX}\)

1.2830E-04

NON_REGRESSION

1.88E-04%

\(\mathit{N1109}\) — \(\mathit{DX}\)

4.01834E-04

NON_REGRESSION

1.6E-05%

\(\mathit{N1099}\) — \(\mathit{DX}\)

4.01834E-04

NON_REGRESSION

1.6E-05%

\(\mathit{N1157}\) — \(\mathit{DY}\)

1.08154E-03

NON_REGRESSION

9.44E-05%

\(\mathit{N1104}\) — \(\mathit{DY}\)

1.09424E-03

NON_REGRESSION

3.15E-04%

\(\mathit{N1109}\) — \(\mathit{DY}\)

1.08427E-03

NON_REGRESSION

2.92E-04%

\(\mathit{N1099}\) — \(\mathit{DY}\)

1.08427E-03

NON_REGRESSION

2.92E-04%

\(\mathit{N1157}\) — \(\mathit{DZ}\)

0.00000E+00

NON_REGRESSION

1.00E-08%

\(\mathit{N1104}\) — \(\mathit{DZ}\)

0.00000E+00

NON_REGRESSION

1.00E-08%

\(\mathit{N1109}\) — \(\mathit{DZ}\)

6.34660E-06

NON_REGRESSION

8.70E-06%

\(\mathit{N1099}\) — \(\mathit{DZ}\)

-6.34660E-06

NON_REGRESSION

8.69E-06%

\(\mathit{N1157}\) — \(\mathit{DRX}\)

0.00000E+00

NON_REGRESSION

1.00E-08%

\(\mathit{N1104}\) — \(\mathit{DRX}\)

0.00000E+00

NON_REGRESSION

1.00E-08%

\(\mathit{N1109}\) — \(\mathit{DRX}\)

-8.06992E-06

NON_REGRESSION

7.78E-06%

\(\mathit{N1099}\) — \(\mathit{DRX}\)

8.06992E-06

NON_REGRESSION

7.78E-06%

\(\mathit{N1157}\) — \(\mathit{DRY}\)

0.00000E+00

NON_REGRESSION

1.00E-08%

\(\mathit{N1104}\) — \(\mathit{DRY}\)

0.00000E+00

NON_REGRESSION

1.00E-08%

\(\mathit{N1109}\) — \(\mathit{DRY}\)

-4.85229E-05

NON_REGRESSION

5.35E-05%

\(\mathit{N1099}\) — \(\mathit{DRY}\)

4.85229E-05

NON_REGRESSION

5.35E-05%

\(\mathit{N1157}\) — \(\mathit{DRZ}\)

5.84655E-04

NON_REGRESSION

6.51E-05%

\(\mathit{N1104}\) — \(\mathit{DRZ}\)

6.81747E-04

NON_REGRESSION

5.81E-05%

\(\mathit{N1109}\) — \(\mathit{DRZ}\)

-9.39844E-05

NON_REGRESSION

6.63E-06%

\(\mathit{N1099}\) — \(\mathit{DRZ}\)

-9.39844E-05

NON_REGRESSION

6.63E-06%

Elastoplastic calculation (non regression)

Location

Value to test

Test type

Tolerance

\(\mathit{N1157}\) — \(\mathit{DX}\)

6.51271E-04

NON_REGRESSION

0.160%

\(\mathit{N1104}\) — \(\mathit{DX}\)

1.28830E-04

NON_REGRESSION

0.028%

\(\mathit{N1109}\) — \(\mathit{DX}\)

4.01834E-04

NON_REGRESSION

0.149%

\(\mathit{N1099}\) — \(\mathit{DX}\)

4.01834E-04

NON_REGRESSION

0.149%

\(\mathit{N1157}\) — \(\mathit{DY}\)

1.08154E-03

NON_REGRESSION

0.209%

\(\mathit{N1104}\) — \(\mathit{DY}\)

1.09424E-03

NON_REGRESSION

0.206%

\(\mathit{N1109}\) — \(\mathit{DY}\)

1.08427E-03

NON_REGRESSION

0.208%

\(\mathit{N1099}\) — \(\mathit{DY}\)

1.08427E-03

NON_REGRESSION

0.208%

\(\mathit{N1157}\) — \(\mathit{DZ}\)

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1104}\) — \(\mathit{DZ}\)

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1109}\) — \(\mathit{DZ}\)

6.34660E-06

NON_REGRESSION

0.022%

\(\mathit{N1099}\) — \(\mathit{DZ}\)

-6.34660E-06

NON_REGRESSION

0.022%

\(\mathit{N1157}\) — \(\mathit{DRX}\)

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1104}\) — \(\mathit{DRX}\)

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1109}\) — \(\mathit{DRX}\)

-8.06992E-06

NON_REGRESSION

0.382%

\(\mathit{N1099}\) — \(\mathit{DRX}\)

8.06992E-06

NON_REGRESSION

0.382%

\(\mathit{N1157}\) — \(\mathit{DRY}\)

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1104}\) — \(\mathit{DRY}\)

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1109}\) — \(\mathit{DRY}\)

-4.85229E-05

NON_REGRESSION

0.533%

\(\mathit{N1099}\) — \(\mathit{DRY}\)

4.85229E-05

NON_REGRESSION

0.533%

\(\mathit{N1157}\) — \(\mathit{DRZ}\)

5.84655E-04

NON_REGRESSION

0.173%

\(\mathit{N1104}\) — \(\mathit{DRZ}\)

6.81747E-04

NON_REGRESSION

0.224%

\(\mathit{N1109}\) — \(\mathit{DRZ}\)

-9.39844E-05

NON_REGRESSION

0.533%

\(\mathit{N1099}\) — \(\mathit{DRZ}\)

-9.39844E-05

NON_REGRESSION

0.533%

We also test the total number of Newton iterations using non-regression:

Parameter

Value to test

Test type

Tolerance

EVOL_NOLI — ITER_GLOB

1

NON_REGRESSION

0

Large displacement calculation (not regression):

Location

NUME_ORDRE

Value to test

Test type

Tolerance

\(\mathit{N1157}\) — \(\mathit{DX}\)

10

6.51271E-04

NON_REGRESSION

0.161%

\(\mathit{N1104}\) — \(\mathit{DX}\)

10

1.28830E-04

NON_REGRESSION

0.274%

\(\mathit{N1109}\) — \(\mathit{DX}\)

10

4.01834E-04

NON_REGRESSION

0.169%

\(\mathit{N1099}\) — \(\mathit{DX}\)

10

4.01834E-04

NON_REGRESSION

0.169%

\(\mathit{N1157}\) — \(\mathit{DY}\)

10

1.08154E-03

NON_REGRESSION

0.164%

\(\mathit{N1104}\) — \(\mathit{DY}\)

10

1.09424E-03

NON_REGRESSION

0.115%

\(\mathit{N1109}\) — \(\mathit{DY}\)

10

1.08427E-03

NON_REGRESSION

0.139%

\(\mathit{N1099}\) — \(\mathit{DY}\)

10

1.08427E-03

NON_REGRESSION

0.139%

\(\mathit{N1157}\) — \(\mathit{DZ}\)

10

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1104}\) — \(\mathit{DZ}\)

10

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1109}\) — \(\mathit{DZ}\)

10

6.34660E-06

NON_REGRESSION

4.398%

\(\mathit{N1099}\) — \(\mathit{DZ}\)

10

-6.34660E-06

NON_REGRESSION

4.398%

\(\mathit{N1157}\) — \(\mathit{DRX}\)

10

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1104}\) — \(\mathit{DRX}\)

10

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1109}\) — \(\mathit{DRX}\)

10

-8.06992E-06

NON_REGRESSION

0.423%

\(\mathit{N1099}\) — \(\mathit{DRX}\)

10

8.06992E-06

NON_REGRESSION

0.423%

\(\mathit{N1157}\) — \(\mathit{DRY}\)

10

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1104}\) — \(\mathit{DRY}\)

10

0.00000E+00

NON_REGRESSION

1.00000E-08%

\(\mathit{N1109}\) — \(\mathit{DRY}\)

10

-4.85229E-05

NON_REGRESSION

0.565%

\(\mathit{N1099}\) — \(\mathit{DRY}\)

10

4.85229E-05

NON_REGRESSION

0.565%

\(\mathit{N1157}\) — \(\mathit{DRZ}\)

10

5.84655E-04

NON_REGRESSION

0.265%

\(\mathit{N1104}\) — \(\mathit{DRZ}\)

10

6.81747E-04

NON_REGRESSION

0.021%

\(\mathit{N1109}\) — \(\mathit{DRZ}\)

10

-9.39844E-05

NON_REGRESSION

1.46%

\(\mathit{N1099}\) — \(\mathit{DRZ}\)

10

-9.39844E-05

NON_REGRESSION

1.46%

We also test the total number of Newton iterations using non-regression:

Parameter

Value to test

Test type

Tolerance

EVOL_NOLI — ITER_GLOB

2

NON_REGRESSION

0