4. B modeling#

4.1. Characteristics of modeling#

Behavior \(\mathrm{C2}\): linear kinematic work hardening, in \(\mathrm{3D}\). It is modelled in three ways:

  • or using behavior VMIS_CINE_LINE, by taking:

\(\text{D\_SIGM\_EPSI}=\mathrm{E.C}(T)/(E+C(T))\) with \(C(T)=(1000+\mathrm{2990.T})\)

  • or using behavior VMIS_ECMI_LINE, by taking:

\(\text{D\_SIGM\_EPSI}=\mathrm{E.C}(T)/(E+C(T))\) and the Prager constant \(\mathrm{PRAG}=2/3C(T)\)

  • or using behavior VMIS_CIN1_CHAB, keeping only linear kinematic work hardening: All you have to do is then take: \({R}_{0}={R}_{I}=\mathrm{SIGY}\), \(b=0\), \({C}_{I}=C(T)\), \({G}_{0}=0\)

Time discretization: 1 time step between \(t=\mathrm{0s}\) and \(t=\mathrm{1s}\) and 20 time steps between \(t=\mathrm{1s}\) and \(t=\mathrm{2s}\).

4.2. Characteristics of the mesh#

The mesh includes a HEXA8 mesh.

4.3. Tested sizes and results#

Behavior VMIS_CINE_LINE:

Instant ( \(s\) )

Plastic deformation by \(Y\)

Reference

Aster

% difference

% difference

\(\mathrm{t1}=1.1\)

\(\mathrm{EPYY}\)

0.01

0.01

2

\(\mathrm{EPYY}\)

8.E—4

8.E—4

0

Behavior VMIS_ECMI_LINE:

Instant ( \(s\) )

Plastic deformation by \(Y\)

Reference

Aster

% difference

% difference

\(\mathrm{t1}=1.1\)

\(\mathrm{EPYY}\)

0.01

0.01

2

\(\mathrm{EPYY}\)

8.E—4

8.E—4

0

Behavior VMIS_CIN1_CHAB:

Instant ( \(s\) )

Plastic deformation by \(Y\)

Reference

Aster

% difference

% difference

\(\mathrm{t1}=1.1\)

\(\mathrm{EPYY}\)

0.01

0.01

2

\(\mathrm{EPYY}\)

8.E—4

8.E—4

0