4. B modeling#

4.1. Characteristics of modeling#

3D modeling (linear elements) is used.

_images/Object_4.svg

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

4.2. Characteristics of the mesh#

_images/Object_5.png

Number of knots: 3292

Number of meshes: 2150 HEXA8, 260 PENTA6, 260, 1814 QUAD4 and 68 TRIA3

Number of nodes in contact: 210

4.3. 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

1.0%

Point \(K\)/Point \(D\) - \(\mathrm{DY}\)

“ANALYTIQUE”

55.8800

1.0%

Point \(K\)/Point \(E\) - \(\mathrm{DY}\)

“ANALYTIQUE”

78.6900

1.0%

Point \(K\)/Point \(F\) - \(\mathrm{DY}\)

“ANALYTIQUE”

144.8950

1.0%

Point \(K\)/Point \(G\) - \(\mathrm{DY}\)

“ANALYTIQUE”

155.0960

1.0%

We test the number of iterations of Newton when the point \(K\) of the plot is in front of the points \(B\), \(C\), \(D\), \(E\), \(F\) and \(G\) of the string.

Identification

Reference type

Reference value

Tolerance

ITER_GLOB/Point \(B\)

“NON_REGRESSION”

2

0.00%

ITER_GLOB/Point \(C\)

“NON_REGRESSION”

2

0.00%

ITER_GLOB/Point \(D\)

“NON_REGRESSION”

2

0.00%

ITER_GLOB/Point \(E\)

“NON_REGRESSION”

2

0.00%

ITER_GLOB/Point \(F\)

“NON_REGRESSION”

2

0.00%

ITER_GLOB/Point \(G\)

“NON_REGRESSION”

2

0.00%

4.4. 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

\(\mathrm{0.mm}\) to

\(\mathrm{5.mm}\) in 5 steps

  • from

\(\mathrm{5.mm}\) to

\(\mathrm{15.mm}\) in 10 steps

  • from

\(\mathrm{5.mm}\) to

\(\mathrm{20.mm}\) in 5 steps

  • from

\(\mathrm{20.mm}\) to

\(\mathrm{50.mm}\) in 5 steps

  • from

\(\mathrm{50.mm}\) to

\(\mathrm{70.mm}\) in 10 steps

  • from

\(\mathrm{70.mm}\) to

\(\mathrm{140.mm}\) in 35 steps

  • from

\(\mathrm{140.mm}\) to

\(\mathrm{155.mm}\) in 15 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.