3. Modeling A#
The specimen is meshed with two TRIA3 elements at three nodes for all models.
2 grid elements to model the fibers in the \(\mathrm{OX}\) direction
2 grid elements to model the fibers in the \(\mathrm{OY}\) direction
The nodes of the elements are common for each of the reinforcing plies.
3.1. Modeling A results (linear isotropic work hardening)#
3.1.1. Thermal loading for modeling A#
Reference temperature: 50
Loading history: \({\mathrm{Evolution}}_{A}\) (see [§1.4])
The temperatures came in like a knotty field.
3.1.2. Results#
Values of \(\mathit{SIXX}\) at the node \(\mathrm{NO1}\) (in the direction of the longitudinal reinforcements) and \(\mathit{SIXX}\) at the node \(\mathrm{NO1}\) (in the direction of the transverse reinforcements) and those of the Maximum and Minimum of the internal variables \(\mathrm{V1}\) and \(\mathrm{V3}\) are recorded.
\(\mathit{SIXX}\) in meshes modeling fibers oriented according to \(\mathrm{OX}\) |
\(\mathit{SIXX}\) in meshes modeling fibers oriented according to \(\mathrm{OY}\) |
|||||
Instant |
Reference |
Aster_code |
Ecart |
Reference |
Aster_code |
Ecart |
1 |
2,0000E+08 |
2,0000E+08 |
0 |
2,0000E+08 |
2,0000E+08 |
0 |
2 |
2,4000E+08 |
2,4000E+08 |
0 |
2,4000E+08 |
2,4000E+08 |
0 |
3 |
4,0000E+07 |
4,0000E+07 |
0 |
4,0000E+07 |
4,0000E+07 |
0 |
4 |
2,4000E+08 |
2,4000E+08 |
0 |
2,4000E+08 |
2,4000E+08 |
0 |
5 |
—1,6000E+08 |
—1,6000E+08 |
0 |
—1,6000E+08 |
—1,6000E+08 |
0 |
6 |
— 3,1200E+08 |
— 3,1200E+08 |
0 |
— 3,1200E+08 |
— 3,1200E+08 |
0 |
7 |
2,8800E+08 |
2,8800E+08 |
0 |
2,8800E+08 |
2,8800E+08 |
0 |
8 |
4.0960E+08 |
4.0960E+08 |
0 |
4.0960E+08 |
4.0960E+08 |
0 |
9 |
—2.7040E+08 |
—2.7040E+08 |
0 |
—2.7040E+08 |
—2.7040E+08 |
0 |
10 |
— 5,2768E+08 |
— 5,2768E+08 |
0 |
— 5,2768E+08 |
— 5,2768E+08 |
0 |
11 |
4.7232E+08 |
4.7232E+08 |
0 |
4.7232E+08 |
4.7232E+08 |
0 |
Instant |
Internal variables |
min |
Maximum |
||
Aster_code |
Reference |
Aster_code |
Reference |
||
1 |
V1 |
0 |
0 |
0 |
0 |
V3 |
0 |
0 |
0 |
0 |
|
2 |
V1 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
V3 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
|
3 |
V1 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
V3 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
|
4 |
V1 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
V3 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
|
5 |
V1 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
V3 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
1.8E-03 |
|
6 |
V1 |
5.04E-03 |
5.04E-03 |
5.04E-03 |
5.04E-03 |
V3 |
5.04E-03 |
5.04E-03 |
5.04E-03 |
5.04E-03 |
|
7 |
V1 |
5.04E-03 |
5.04E-03 |
5.04E-03 |
5.04E-03 |
V3 |
5.04E-03 |
5.04E-03 |
5.04E-03 |
5.04E-03 |
|
8 |
V1 |
9.432E-03 |
9.432E-03 |
9.432E-03 |
9.432E-03 |
V3 |
9.432E-03 |
9.432E-03 |
9.432E-03 |
9.432E-03 |
|
9 |
V1 |
9.432E-03 |
9.432E-03 |
9.432E-03 |
9.432E-03 |
V3 |
9.432E-03 |
9.432E-03 |
9.432E-03 |
9.432E-03 |
|
10 |
V1 |
1.47456E-02 |
1.47456E-02 |
1.47456E-02 |
1.47456E-02 |
V3 |
1.47456E-02 |
1.47456E-02 |
1.47456E-02 |
1.47456E-02 |
|
11 |
V1 |
1.47456E-02 |
1.47456E-02 |
1.47456E-02 |
1.47456E-02 |
V3 |
1.47456E-02 |
1.47456E-02 |
1.47456E-02 |
1.47456E-02 |
|
Notes:
The results shown are given in the reference frame \(({X}_{\mathrm{ref}},{Y}_{\mathrm{ref}})\) making an angle of \(0°\) with respect to \((X,Y)\) .
The test case studied corresponds to the following diagram in a stress-deformation plane:
