3. Modeling A#
3.1. Characteristics of modeling#
A DIS_TR_L element with 2 nodes of zero size (idem 1.1).
Node \(\mathrm{N2}\): we block everything.
A \(\mathrm{N3}\) node: we impose \({F}_{x}\) in steps \(\mathrm{1 000 }N\) and \({M}_{y}\) in steps of \(\mathrm{3 000 }\mathrm{N.mm}\) with the time card:
\(t\) |
||||||||||
7 |
42 |
-6. |
-17. |
3.2. Characteristics of the mesh#
1 SEG2.
2 knots.
3.3. Tested sizes and results#
Identification |
Reference |
% difference |
Displacement \(\mathrm{UX}\), Node \(\mathrm{N3}\), Order 2 |
9.468E-02 |
(Direct calculation and |
Displacement \(\mathrm{DRY}\), Node \(\mathrm{N3}\), Order 2 |
1.275E-03 |
exact) |
Displacement \(\mathrm{UX}\), Node \(\mathrm{N3}\), Order 8 |
3.7366 |
Incremental calculation |
Displacement \(\mathrm{DRY}\), Node \(\mathrm{N3}\), Order 8 |
1.3754E-02 |
exact |
Displacement \(\mathrm{UX}\), Node \(\mathrm{N3}\), Order 12 |
2.6799 |
Incremental calculation |
Displacement \(\mathrm{DRY}\), Node \(\mathrm{N3}\), Order 12 |
5.3598E-04 |
exact |
Internal Variable 1, Node \(\mathrm{N3}\), Order 2 |
9.6574E-02 |
Exact Direct Calculation |
Internal Variable 1, Node \(\mathrm{N3}\), Order 3 |
1.07417 |
Exact Incremental Calculation |
Internal Variable 1, Node \(\mathrm{N3}\), Order 11 |
9.6574E-02 |
Exact Incremental Calculation |
Internal Variable 1, Node \(\mathrm{N3}\), Order 12 |
1.07417 |
Exact Incremental Calculation |
3.4. note#
The reference solution is the numerical solution of a problem to an unknown determined by*Code_Aster*.