3. Modeling A#
3.1. Characteristics of modeling#
All fields being uniform (independent of space), we take a HEXA8 and the calculation is nevertheless equivalent to that of a plate in plane constraints.
Loading and boundary conditions are modelled by:
blocking conditions adapted both to prevent any movement of rigid bodies and to allow the uniformity of the fields,
nodal forces:
FX: , FY: |
on nodes 1, 3, 5, 7 |
FX: |
on nodes 3, 4, 7, 8 |
FY: |
on nodes 2, 4, 6, 8 |
FX: |
on nodes 1, 2, 5, 6 |
3.2. Characteristics of the mesh#
Number of knots: |
8 |
Number of meshes and types: |
1 HEXA8 |
3.3. Tested sizes and results#
Variables |
Moment (s) |
Reference |
Aster |
% difference |
|
\({\varepsilon }_{p-\mathrm{xx}}\) |
3630 |
9.06364 10—2 |
9.06373 10—2 |
0.001 |
|
\({\varepsilon }_{p-\mathrm{xy}}\) |
3630 |
7.84935 10—2 |
7.84942 10—2 |
0.001 |
|
\({\varepsilon }_{p-\mathrm{xx}}\) |
3660 |
1.71775 10—1 |
1.71775 10—1 |
1.717749 10—1 |
7.69 10—5 |
\({\varepsilon }_{p-\mathrm{xy}}\) |
3660 |
1.48761 10—1 |
1.48761 10—1 |
2.68 10—4 |
|
\({\varepsilon }_{p-\mathrm{xx}}\) |
3720 |
2.80733 10—1 |
2.80909 10—1 |
0.063 |
|
\({\varepsilon }_{p-\mathrm{xy}}\) |
3720 |
2.43122 10—1 |
2.43274 10—1 |
0.063 |