5. C modeling#

5.1. Characteristics of modeling#

2 POU_D_EM 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 \(\mathit{GR1}\) and \(\mathit{GC1}\)

5.2. Characteristics of the mesh#

  • Beam mesh

\(2\times 2\) elements POU_D_EM

  • Meshing the sections

_images/100002000000012C00000119D510D3CE2C63BC04.png

111 knots, 188 TRIA3

_images/10000200000001EA000000FCD70060B38983D1F0.png

231 knots, 200 QUAD4

5.3. Tested sizes and results#

  • Single pull (with \({\mathit{DX}}^{e}=0.75E-03\))

\({\mathit{DX}}_{(B)}\)

Order Number

GROUP_MA

NOEUD

Identification

Reference Type

Reference

Tolerance

\(2{\mathit{DX}}^{e}\)

11

GR1

R3

EFGE_ELNO

N

ANALYTIQUE

\(3.E+06\)

\(0.10\text{\%}\)

\(3{\mathit{DX}}^{e}\)

21

GR1

R3

EFGE_ELNO

N

ANALYTIQUE

\(3.E+06\)

\(0.5\text{\%}\)

\(2{\mathit{DX}}^{e}\)

11

GC1

C3

EFGE_ELNO

N

ANALYTIQUE

\(4.82E+06\)

\(2.5\text{\%}\)

\(3{\mathit{DX}}^{e}\)

21

GC1

C3

EFGE_ELNO

N

ANALYTIQUE

\(4.87E+06\)

\(2.5\text{\%}\)

\(3{\mathit{DX}}^{e}\)

21

GC1

C3

DEGE_ELNO

EPXX

ANALYTIQUE

\(2.25E-03\)

\(0.10\text{\%}\)

\({\mathrm{DX}}_{(B)}\)

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

\(3.E+06\)

\(0.50\text{\%}\)

\(2{\mathrm{DX}}^{e}\)

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

GR1

R3

R3

MFZ (\(\mathrm{Nm}\))

ANALYTIQUE

\(1.0E+05\)

\(0.5\text{\%}\)

\(5{\mathrm{DRZ}}^{e}\)

21

GR1

R3

R3

MFZ

ANALYTIQUE

\(1.48E+05\)

\(1.0\text{\%}\)

\(10{\mathrm{DRZ}}^{e}\)

31

GR1

R3

R3

MFZ

ANALYTIQUE

\(1.495E+05\)

\(1.0\text{\%}\)

\(20{\mathit{DRZ}}^{e}\)

41

GR1

R3

R3

MFZ

ANALYTIQUE

\(1.499E+05\)

\(1.5\text{\%}\)

\(\mathrm{-}2.{\mathit{DRZ}}^{e}\)

71

GR1

R3

R3

MFZ

ANALYTIQUE

\(\mathrm{-}1.5E+05\)

\(2.0\text{\%}\)

\(10{\mathrm{DRZ}}^{e}\)

31

GR1

R3

R3

KZ

ANALYTIQUE

\(0.075\)

\(0.1\text{\%}\)

\({\mathrm{DRZ}}^{e}\)

1

GC1

C3

C3

MFZ

ANALYTIQUE

\(1.178E+05\)

\(2.5\text{\%}\)

\(5{\mathrm{DRZ}}^{e}\)

21

GC1

C3

C3

MFZ

ANALYTIQUE

\(1.96E+05\)

\(1.5\text{\%}\)

\(10{\mathrm{DRZ}}^{e}\)

31

GC1

C3

C3

MFZ

ANALYTIQUE

\(1.99E+05\)

\(1.0\text{\%}\)

\(20{\mathrm{DRZ}}^{e}\)

41

GC1

C3

C3

MFZ

ANALYTIQUE

\(1.998E+05\)

\(2.0\text{\%}\)

\(\mathrm{-}2.{\mathit{DRZ}}^{e}\)

71

GC1

C3

C3

MFZ

ANALYTIQUE

\(\mathrm{-}2.0E+05\)

\(2.0\text{\%}\)

\({\mathrm{DX}}_{(B)}\)

Order Number

GROUP_MA

NOEUD

Identification

Reference Type

Reference

Tolerance

\({\mathrm{DRZ}}^{e}\)

1

GR1

R3

REAC_NODA

DRZ

ANALYTIQUE

\(1.0E+05\)

\(0.5\text{\%}\)

\(5{\mathrm{DRZ}}^{e}\)

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

\(1.499E+06\)

\(1.5\text{\%}\)

\({\mathrm{DRZ}}^{e}\)

1

GC1

C3

REAC_NODA

DRZ

ANALYTIQUE

\(1.178E+05\)

\(2.5\text{\%}\)

\(5{\mathrm{DRZ}}^{e}\)

21

GC1

C3

REAC_NODA

DRZ

ANALYTIQUE

\(1.96E+05\)

\(1.5\text{\%}\)

\(10{\mathrm{DRZ}}^{e}\)

31

GC1

C3

REAC_NODA

DRZ

ANALYTIQUE

\(1.99E+05\)

\(1.0\text{\%}\)

\(20{\mathit{DRZ}}^{e}\)

41

GC1

C3

REAC_NODA

DRZ

ANALYTIQUE

\(1.998E+06\)

\(1.0\text{\%}\)