2. Benchmark results#
The reference results are obtained by carrying out the same calculation with the Simo-Miehe large deformation model (DEFORMATION = “SIMO - MIEHE”), validated elsewhere.
Behavior VMIS_ISOT_LINE with SIMO_MIEHE, in plane deformation:
Imposed displacement |
Size tested |
Reference \((\mathrm{MPa})\) |
\(500\mathrm{mm}\) |
|
1125 |
\(700\mathrm{mm}\) |
|
1411 |
\(900\mathrm{mm}\) |
|
1664 |
\(1100\mathrm{mm}\) |
|
1891.7 |
The values of the equivalent von Mises stresses are compared at the end of the traction phases and their invariance during the rotation phases is checked.
Behavior VMIS_ISOT_LINE with SIMO_MIEHE in plane stress
Imposed displacement |
Size tested |
Reference \((\mathit{MPa})\) |
\(500\mathit{mm}\) |
|
1019.57 |
\(500\mathit{mm}\) after rotation |
SIEQ_ELGA |
1019.57 |
\(700\mathit{mm}\) |
|
1271 |
Finally, the quality of the tangent matrix is checked by comparison with a tangent matrix obtained by disturbance. With SIMO_MIEHE, we obtain an almost zero difference (norm of the difference: of the order of \(1.E-20\)). We will therefore check the difference obtained on the tangent matrix for the large deformation formalisms tested here.