8. F modeling#

8.1. Characteristics of F modeling#

3D modeling.

_images/Shape10.gif

DRUCK_PRAG_N_A model with linear, parabolic and exponential negative work hardening.

Number of nodes

\(20\)

Number of meshes

\(7\)

That is:

QUAD8

\(6\)

HEXA20

\(1\)

Cube geometry \((m)\):

Center \(O(0.\mathrm{,0}\mathrm{.}\mathrm{,0}\mathrm{.})\)

Side \(C=1m\)

Mesh groups:

\(\mathrm{BAS}\): surface of the cube belonging to the \(Z=-0.5\) plane

\(\mathrm{HAUT}\): surface of the cube belonging to the \(Z=+0.5\) plane

\(\mathrm{DROITE}\): surface of the cube belonging to the \(Y=+0.5\) plane

\(\mathrm{GAUCHE}\): surface of the cube belonging to the \(Y=-0.5\) plane

\(\mathrm{DERRIERE}\): surface of the cube belonging to the \(X=-0.5\) plane

\(\mathrm{DEVANT}\): surface of the cube belonging to the \(X=+0.5\) plane

8.2. Tested sizes and results#

Grandeur

Point

NUME_ORDRE

Reference, linear work hardening

Reference, parabolic work hardening

Reference, exponential work hardening

Tolerance \(\text{\%}\)

\(\mathit{SIZZ}(N/{m}^{2})\)

A

9

\(-8.77\mathrm{.}{10}^{6}\)

\(-8.76\mathrm{.}{10}^{6}\)

\(-8.77\mathrm{.}{10}^{6}\)

0.1

34

\(-7.20\mathrm{.}{10}^{6}\)

\(-6.44\mathrm{.}{10}^{6}\)

\(-7.55\mathrm{.}{10}^{6}\)

0.1

60

\(-5.86\mathrm{.}{10}^{6}\)

\(-5.80\mathrm{.}{10}^{6}\)

/

0.1

\(\mathrm{V1}\)

A

9

\(4.69\mathrm{.}{10}^{-5}\)

\(5.11\mathrm{.}{10}^{-5}\)

\(4.69\mathrm{.}{10}^{-5}\)

0.1

34

\(5.3\mathrm{.}{10}^{-3}\)

\(5.4\mathrm{.}{10}^{-3}\)

\(5.3\mathrm{.}{10}^{-3}\)

0.1

60

\(9.8\mathrm{.}{10}^{-3}\)

\(9.8\mathrm{.}{10}^{-3}\)

/

0.1

\(\mathrm{DY}(m)\)

A

9

\(-1.2\mathrm{.}{10}^{-3}\)

\(-1.2\mathrm{.}{10}^{-3}\)

\(-1.2\mathrm{.}{10}^{-3}\)

0.1

34

\(-4.9\mathrm{.}{10}^{-3}\)

\(-4.9\mathrm{.}{10}^{-3}\)

\(-4.9\mathrm{.}{10}^{-3}\)

0.1

60

\(-8.8\mathrm{.}{10}^{-3}\)

\(-8.8\mathrm{.}{10}^{-3}\)

/

0.1