3. Modeling A

3.1. Characteristics of modeling

We use a AXIS model (linear elements).

The discrete contact formulation is used (active stress method).

3.2. Characteristics of the mesh

Number of knots: 333

Number of meshes: 510 TRIA3 and 152 SEG2

Number of nodes in contact: 20

3.3. Tested sizes and results

The following displacement \(Y\) of the point \(K\) of the piece of paper with respect to the surface \(\mathrm{ABCDEFG}\) of the die is tested.

Identification	Reference type	Reference value	Tolerance
Point \(K\)/Point \(B\) - \(\mathrm{DY}\)	“ANALYTIQUE”	5.0000	0.1%
Point \(K\)/Point \(C\) - \(\mathrm{DY}\)	“ANALYTIQUE”	20.8250	0.1%
Point \(K\)/Point \(D\) - \(\mathrm{DY}\)	“ANALYTIQUE”	55.8800	0.2%
Point \(K\)/Point \(E\) - \(\mathrm{DY}\)	“ANALYTIQUE”	78.6900	0.1%
Point \(K\)/Point \(F\) - \(\mathrm{DY}\)	“ANALYTIQUE”	144.8950	0.1%
Point \(K\)/Point \(G\) - \(\mathrm{DY}\)	“ANALYTIQUE”	155.0960	0.1%

Checking mode RESOLUTION =” NON “:

Identification	Reference type	Reference value	Tolerance
Point \(K\)/Point \(G\) - \(\mathrm{DY}\)	“ANALYTIQUE”	155.0960	0.1%
Game \(\mathrm{LC}\)	“ANALYTIQUE”	-5.0000	0.1%
Game \(LE\)	“ANALYTIQUE”	-2.0000	0.1%

3.4. notes

The calculation is carried out by imposing a displacement on the back side of the block \(\text{(MN)}\). The displacement is imposed as follows:

from	0.mm to	5.mm in 5 steps
from	5.mm to	20.mm in 5 steps
from	20.mm to	50.mm in 5 steps
from	50.mm to	70.mm in 5 steps
from	70.mm to	140.mm in 5 steps
from	140.mm to	155.mm in 5 steps

The calculations do not converge with the default keywords used for convergence in STAT_NON_LINE, because the default value of RESI_GLOB_RELA = 1.E-6 is too restrictive (the forces to which the piece is subjected are initially relatively weak). To overcome this problem, use the keyword RESI_GLOB_MAXI = 1.E-6.