4. B modeling

4.1. Characteristics of modeling

We use a D_ PLAN modeling.

4.2. Characteristics of the mesh

The same mesh is used as for modeling A.

4.3. Tested sizes and results

The minimum and maximum stresses on the plate are tested for field SIEF_ELNO calculated by the operator CALC_CHAMP:

Identification	Reference type	Reference value	Precision
\(\mathit{MAX}\) - \(\mathit{SIXX}\)	“ANALYTIQUE”	20.0 MPa	5E -3%
\(\mathit{MIN}\) - \(\mathit{SIXX}\)	“ANALYTIQUE”	20.0 MPa	5E -3%
\(\mathit{MAX}\) - \(\mathit{SIXY}\)	“ANALYTIQUE”	0.0 MPa	0.05
\(\mathit{MIN}\) - \(\mathit{SIXY}\)	“ANALYTIQUE”	0.0 MPa	0.05

We test the minimum and maximum stresses on the plate for field SIGM_ELNO calculated underground by the operator CALC_ERREUR:

Identification	Reference type	Reference value	Precision
\(\mathit{MAX}\) - \(\mathit{SIXX}\)	“ANALYTIQUE”	20.0 MPa	5E -3%
\(\mathit{MIN}\) - \(\mathit{SIXX}\)	“ANALYTIQUE”	20.0 MPa	5E -3%
\(\mathit{MAX}\) - \(\mathit{SIXY}\)	“ANALYTIQUE”	0.0 MPa	0.05
\(\mathit{MIN}\) - \(\mathit{SIXY}\)	“ANALYTIQUE”	0.0 MPa	0.05

We test the minimum and maximum constraints on the field plate SISE_ELNO (node of the sub-elements X- FEM) calculated underground by the operator CALC_ERREUR:

Identification	Reference type	Reference value	Precision
\(\mathit{MAX}\) - \(X4\)	“ANALYTIQUE”	0.0 MPa	0.05
\(\mathit{MIN}\) - \(X4\)	“ANALYTIQUE”	0.0 MPa	0.05

Finally we test the field for error estimator ERME_ELEM:

Identification	Reference type	Reference value	Precision
\(\mathit{MAX}\) - \(\mathit{ERREST}\)	“ANALYTIQUE”	0.0	1E-04
\(\mathit{MIN}\) - \(\mathit{ERREST}\)	“ANALYTIQUE”	0.0	1E-04

4.4. notes

The constraints obtained calculated at the nodes of the mesh by CALC_ERREUR and by CALC_CHAMP are indeed the same.

The calculation of the error takes good account of the pressure forces applied to the right edge. An estimate of the zero error is obtained (with the exception of the numerical error).