4. B modeling#
4.1. Characteristics of B modeling#
Using QUAD4 elements
4.2. Characteristics of the mesh#
Number of knots: 4
Number of meshes and types: 3 MECPQU4
Modeling in plane constraints: C_ PLAN
Loading and boundary conditions are modelled by:
DDL_IMPO: (Node NO1 DX = 0, DY = 0)
(Node NO2 DY = 0)
(Knot NO4 DX = 0)
forces imposed on nodes \(\mathrm{NO2}\) and \(\mathrm{NO3}\).
4.3. Tested sizes and results#
Identification |
Instant |
Reference |
Aster |
% difference |
|
\(\mathit{SIXX}\) (mesh 1) |
1 |
1,500000E+00 |
1,500000E+00 |
0.000 |
|
\(\mathit{SIYY}\) (mesh 1) |
1 |
6,938894E—18 |
1,351398E—14 |
0.000 |
|
\(\mathit{SIXX}\) (mesh 2) |
1 |
9,000000E—01 |
9,000000E—01 |
0.000 |
|
\(\mathit{SIYY}\) (mesh 2) |
1 |
—1.040834E—17 |
—2.142673E—14 |
0.000 |
|
\(\mathit{SIXX}\) (mesh 3) |
1 |
6,000000E—01 |
6,000000E—01 |
0.000 |
|
\(\mathit{SIYY}\) (mesh 3) |
1 |
—6,938894E—18 |
—2,924612E—14 |
0.000 |
|
\(\mathit{SIXX}\) (mesh 1) |
2 |
3,000000E+00 |
3,000000E+00 |
0.000 |
|
\(\mathit{SIYY}\) (mesh 1) |
2 |
4,861944E—13 |
9,617834E—14 |
0.000 |
|
\(\mathit{SIXX}\) (mesh 2) |
2 |
1,800000E+00 |
1,800000E+00 |
0.000 |
|
\(\mathit{SIYY}\) (mesh 2) |
2 |
—2.081668E—17 |
—8.301280E—14 |
0.000 |
|
\(\mathit{SIXX}\) (mesh 3) |
2 |
1,200000E+00 |
1,200000E+00 |
0.000 |
|
\(\mathit{SIYY}\) (mesh 3) |
2 |
—3,469447E—18 |
—9,360717E—14 |
0.000 |
|
\(\mathit{SIXX}\) (mesh 1) |
3 |
3,147155E+00 |
3,145788E+00 |
—0.043 |
|
\(\mathit{SIYY}\) (mesh 1) |
3 |
3,199571E—01 |
3,167038E—01 |
—1.017 |
|
\(\mathit{SIXX}\) (mesh 2) |
3 |
3,511707E+00 |
3,512527E+00 |
0.023 |
|
\(\mathit{SIYY}\) (mesh 2) |
3 |
—1.900098E—01 |
—1.900225E—01 |
0.007 |
|
\(\mathit{SIXX}\) (mesh 3) |
3 |
2,341138E+00 |
2,341685E+00 |
0.023 |
|
\(\mathit{SIYY}\) (mesh 3) |
3 |
—1,279828E—01 |
—1,266817E—01 |
—1.017 |
|
\(\mathit{SIXX}\) (mesh 1) |
4 |
3,252919E+00 |
3,250686E+00 |
—0.069 |
|
\(\mathit{SIYY}\) (mesh 1) |
4 |
5,950074E—01 |
5,886265E—01 |
—1.072 |
|
\(\mathit{SIXX}\) (mesh 2) |
4 |
5,814267E+00 |
5,816233E+00 |
0.034 |
|
\(\mathit{SIYY}\) (mesh 2) |
4 |
—3,523377E—01 |
—3,520332E—01 |
—0.086 |
|
\(\mathit{SIXX}\) (mesh 3) |
4 |
3,878832E+00 |
3,883081E+00 |
0.110 |
|
\(\mathit{SIYY}\) (mesh 3) |
4 |
—2,380030E—01 |
—2,365921E—01 |
—0.593 |
|
\(\mathit{SIXX}\) (mesh 1) |
5 |
3,213822E+00 |
3,214343E+00 |
0.016 |
|
\(\mathit{SIYY}\) (mesh 1) |
5 |
4.873069E—01 |
4.886891E—01 |
0.284 |
|
\(\mathit{SIXX}\) (mesh 2) |
5 |
6,017834E+00 |
6,015971E+00 |
—0.031 |
|
\(\mathit{SIYY}\) (mesh 2) |
5 |
3,174572E—02 |
3,174572E—02 |
3,207056E—02 |
1.023 |
\(\mathit{SIXX}\) (mesh 3) |
5 |
5,768340E+00 |
5,769686E+00 |
0.023 |
|
\(\mathit{SIYY}\) (mesh 3) |
5 |
—5,231355E—01 |
—5,207599E—01 |
—0.454 |
|
\(\mathit{SIXX}\) (mesh 1) |
6 |
3,209297E+00 |
3,210140E+00 |
0.026 |
|
\(\mathit{SIYY}\) (mesh 1) |
6 |
4.753345E—01 |
4.775720E—01 |
0.471 |
|
\(\mathit{SIXX}\) (mesh 2) |
6 |
6,149462E+00 |
6,146788E+00 |
—0.043 |
|
\(\mathit{SIYY}\) (mesh 2) |
6 |
3.048490E—01 |
3.048490E—01 |
3.052260E—01 |
0.124 |
\(\mathit{SIXX}\) (mesh 3) |
6 |
7,571241E+00 |
7,573072E+00 |
0.024 |
|
\(\mathit{SIYY}\) (mesh 3) |
6 |
—7,863557E—01 |
—7,827984E—01 |
—0.452 |
4.4. notes#
Idem modeling A concerning the number of increments on the precision of the results.
The number of iterations is equal to 361.