3. Modeling A#
3.1. Characteristics of modeling#
2 POU_D_TGM elements per section type. There are therefore 2 groups of elements each comprising 2 elements.
Group |
\(\mathrm{GR1}\): |
rectangular section |
\(\mathrm{GC1}\): |
circular section |
|
Simple traction with work hardening |
on \(\mathrm{GR1}\) and \(\mathrm{GC1}\) (ECRO_LINE) |
|
Pure bending without work hardening |
on \(\mathrm{GR1}\) and \(\mathrm{GC1}\) (ECRO_LINE) |
|
Elasticity |
on \(\mathrm{GR1}\) and \(\mathrm{GC1}\) |
|
3.2. Characteristics of the mesh#
Beam mesh
\(2\times 2\) elements POU_D_TGM
Meshing the sections
111 knots, 188 TRIA3 |
231 knots, 200 QUAD4 |
3.3. Tested sizes and results#
Single pull (with \({\mathrm{DX}}^{e}=0.75E-03\))
\({\mathrm{DX}}_{(B)}\) |
Order Number |
GROUP_MA |
NOEUD |
Identification |
Reference Type |
Reference |
Tolerance |
|
\(2{\mathrm{DX}}^{e}\) |
11 |
GR1 |
R3 |
EFGE_ELNO |
N |
ANALYTIQUE |
\(3.E+06\) |
\(0.10\text{\%}\) |
\(3{\mathrm{DX}}^{e}\) |
21 |
GR1 |
R3 |
EFGE_ELNO |
N |
ANALYTIQUE |
\(3.E+06\) |
\(0.10\text{\%}\) |
\(2{\mathrm{DX}}^{e}\) |
11 |
GC1 |
C3 |
EFGE_ELNO |
N |
ANALYTIQUE |
\(4.82E+06\) |
\(2.5\text{\%}\) |
\(3{\mathrm{DX}}^{e}\) |
21 |
GC1 |
C3 |
EFGE_ELNO |
N |
ANALYTIQUE |
\(4.87E+06\) |
\(2.5\text{\%}\) |
\(3{\mathrm{DX}}^{e}\) |
21 |
GC1 |
C3 |
DEGE_ELNO |
EPXX |
ANALYTIQUE |
\(2.25E\mathrm{-}03\) |
\(0.10\text{\%}\) |
\({\mathrm{DX}}_{(B)}\) |
Order Number |
MAILLE |
Point |
Sub-point |
Identification |
Reference Type |
Reference |
Tolerance |
|
\(3{\mathrm{DX}}^{e}\) |
21 |
SR1 |
1 |
1 |
VARI_ELGA |
V1 |
ANALYTIQUE |
\(1.5E\mathrm{-}03\) |
\(0.1\text{\%}\) |
\(3{\mathrm{DX}}^{e}\) |
21 |
SC1 |
1 |
1 |
VARI_ELGA |
V1 |
ANALYTIQUE |
\(1.5E\mathrm{-}03\) |
\(1.5\text{\%}\) |
\({\mathrm{DX}}_{(B)}\) |
Order Number |
GROUP_MA |
NOEUD |
Identification |
Reference Type |
Reference |
Tolerance |
|
\(2{\mathrm{DX}}^{e}\) |
11 |
GR1 |
R3 |
REAC_NODA |
DX |
ANALYTIQUE |
\(3.E+06\) |
\(0.10\text{\%}\) |
\(3{\mathrm{DX}}^{e}\) |
21 |
GR1 |
R3 |
REAC_NODA |
DX |
ANALYTIQUE |
\(3.E+06\) |
\(0.10\text{\%}\) |
\(2{\mathrm{DX}}^{e}\) |
11 |
GC1 |
C3 |
REAC_NODA |
DX |
ANALYTIQUE |
\(4.82E+06\) |
\(2.5\text{\%}\) |
\(3{\mathrm{DX}}^{e}\) |
21 |
GC1 |
C3 |
REAC_NODA |
DX |
ANALYTIQUE |
\(4.87E+06\) |
\(2.5\text{\%}\) |
Pure flex (with \({\mathrm{DRZ}}^{e}=0.75E-02\))
\({\mathrm{DRZ}}_{(B)}\) |
Order Number |
GROUP_MA |
NOEUD |
Identification |
Reference Type |
Reference |
Tolerance |
|
\({\mathrm{DRZ}}^{e}\) |
1 |
|
R3 |
R3 |
|
ANALYTIQUE |
|
|
\(5{\mathrm{DRZ}}^{e}\) |
21 |
|
R3 |
R3 |
|
|
|
|
\(10{\mathrm{DRZ}}^{e}\) |
31 |
|
R3 |
R3 |
|
|
|
|
\(20{\mathit{DRZ}}^{e}\) |
41 |
|
R3 |
R3 |
|
|
|
|
\(\mathrm{-}2.{\mathit{DRZ}}^{e}\) |
71 |
|
R3 |
R3 |
|
|
|
|
\(10{\mathrm{DRZ}}^{e}\) |
31 |
|
R3 |
R3 |
KZ |
ANALYTIQUE |
|
|
\({\mathrm{DRZ}}^{e}\) |
1 |
|
C3 |
C3 |
|
|
|
|
\(5{\mathrm{DRZ}}^{e}\) |
21 |
|
C3 |
C3 |
|
|
|
|
\(10{\mathrm{DRZ}}^{e}\) |
31 |
|
C3 |
C3 |
|
|
|
|
\(20{\mathrm{DRZ}}^{e}\) |
41 |
|
C3 |
C3 |
|
|
|
|
\(\mathrm{-}2.{\mathit{DRZ}}^{e}\) |
71 |
|
C3 |
C3 |
|
|
|
|
\({\mathrm{DX}}_{(B)}\) |
Order Number |
GROUP_MA |
NOEUD |
Identification |
Reference Type |
Reference |
Tolerance |
|
\({\mathrm{DRZ}}^{e}\) |
1 |
GR1 |
R3 |
REAC_NODA |
DRZ |
ANALYTIQUE |
\(1.0E+05\) |
\(0.2\text{\%}\) |
\(5{\mathrm{DRZ}}^{e}\) |
21 |
GR1 |
R3 |
REAC_NODA |
DRZ |
ANALYTIQUE |
\(1.48E+05\) |
\(1.0\text{\%}\) |
\(10{\mathrm{DRZ}}^{e}\) |
31 |
GR1 |
R3 |
REAC_NODA |
DRZ |
ANALYTIQUE |
\(1.495E+05\) |
\(1.0\text{\%}\) |
\(20{\mathit{DRZ}}^{e}\) |
41 |
GR1 |
R3 |
REAC_NODA |
DRZ |
ANALYTIQUE |
\(1.499E+06\) |
\(1.0\text{\%}\) |
\({\mathrm{DRZ}}^{e}\) |
1 |
GC1 |
C3 |
REAC_NODA |
DRZ |
ANALYTIQUE |
\(1.178E+05\) |
\(2.5\text{\%}\) |
\(5{\mathrm{DRZ}}^{e}\) |
21 |
GC1 |
C3 |
REAC_NODA |
DRZ |
ANALYTIQUE |
\(1.96E+05\) |
\(2.0\text{\%}\) |
\(10{\mathrm{DRZ}}^{e}\) |
31 |
GC1 |
C3 |
REAC_NODA |
DRZ |
ANALYTIQUE |
\(1.99E+05\) |
\(1.5\text{\%}\) |
\(20{\mathit{DRZ}}^{e}\) |
41 |
GC1 |
C3 |
REAC_NODA |
DRZ |
ANALYTIQUE |
\(1.998E+06\) |
\(1.5\text{\%}\) |