4. F modeling#

4.1. Characteristics of modeling#

The symmetry of the problem makes it possible to model only half of it (\(X\ge 0\)).

60 finite elements SEG3 are arranged regularly on the initial contact surface (3 degrees of angle for each).

The cylinder and the circular volume surrounding the bore are meshed with elements QUA8 and TRIA6.

++———————————————————————————–+—————————————————————————————————————–+ || |CONTACT | ++ .. image:: images/Object_9.svg + + || :width: 164 | METHODE = “CONTINUE” COULOMB = 0.4 | ++ :height: 232 + APPARIEMENT =” MAIT_ESCL “Master: bcc1 Slave: bcc2 + || | | ++ + + || | | ++———————————————————————————–+—————————————————————————————————————–+

Boundary condition:

  • on the GROUP_MA

\(\mathrm{CC4}\):

\(\mathrm{DX}=0\), \(\mathrm{DY}=0\).

  • on GROUP_MA

\(\mathrm{AD1}\), \(\mathrm{AD2}\), \(\mathrm{AD3}\),, \(\mathrm{AD4}\), \(\mathrm{BD3}\), and \(\mathrm{BD4}\):

\(\mathrm{DX}=0\).

Loads:

The symmetry of the problem with respect to plane \(x=\mathrm{0 }\) makes it possible to model the force concentrated by a nodal force \(\mathrm{Fy}=–937.5{10}^{3}N\), equivalent to \(Q/2\) for a cylinder of unit length, applied to the group of nodes \({O}_{2}\), the center of the cylinder.

This force is applied in 1 increment.

4.2. Characteristics of the mesh#

Number of knots:

1603

Number of meshes and types:

88 SEG3 58 TRIA6 456 QUAD8

4.3. Tested values: SIGM_ELNO#

The normal pressure forces generated by the contact and friction are tested. These efforts, defined in polar coordinates, are expressed in \(\mathit{Pa}\).

Identification

Reference

Aster

% difference

SIXXpour an angle of

0°

—1.7813E+07

— 1.88235E+07

5.673

SIXX

3°

—1.7813E+07

—1.87386E+07

5.196

SIXX

6°

—1.7750E+07

— 1.85220E+07

4.349

SIXX

9°

—1.7688E+07

— 1.84104E+07

4.084

SIXX

12°

—1.7594E+07

— 1.81071E+07

2.917

SIXX

15°

—1.7470E+07

— 1.78019E+07

1.900

SIXX

18°

—1.7312E+07

— 1.73913E+07

0.458

SIXX

21°

— 1.7125E+07

— 1.68233E+07

1.762

SIXX

24°

— 1.6906E+07

— 1.65322E+07

—2.211

SIXX

27°

— 1.6656E+07

— 1.63678E+07

—1.730

SIXX

30°

— 1.6343E+07

—1.60549E+07

—1,763

SIXX

33°

—1.5937E+07

— 1.56070E+07

—2.071

SIXX

36°

— 1.5406E+07

—1.48829E+07

—3.395

SIXX

39°

—1.4781E+07

— 1.41776E+07

—4.082

SIXX

42°

—1.4031E+07

—1.29292E+07

—7.852

SIXX

45°

—1.3094E+07

—1.19737E+07

—8.555

SIXX

48°

—1.1169E+07

—1.06929E+07

—4.263

SIXX

51°

—1.0593E+07

—0.96396E+07

—8.999