3. Modeling A#
3.1. Characteristics of modeling#
Behavior \(\mathrm{C1}\): isotropic work hardening, in \(\mathrm{3D}\). It is modelled in two ways:
or using behavior VMIS_ISOT_TRAC, with traction curves given every \(10°C\), and interpolated for each temperature, which may be inaccurate,
or using behavior VMIS_CIN1_CHAB, by cancelling non-linear kinematic work hardening, and by keeping only isotropic work hardening, which is precisely expressed in the form:
Then just take: |
\({R}_{0}=\mathrm{SIGY}=200.\) -1.7.T |
\({R}_{I}=\mathrm{SIGY}+Q(T)=200.-\mathrm{1.7.T}+100.+\mathrm{1.7.T}=300\) |
|
\({C}_{I}={G}_{0}=0\) |
1 time step between \(t=\mathrm{0s}\) and \(t=\mathrm{1s}\) and 20 time steps between \(t=\mathrm{1s}\) and \(t=\mathrm{2s}\).
3.2. Characteristics of the mesh#
The mesh includes a HEXA8 mesh.
3.3. Tested sizes and results#
Behavior VMIS_ISOT_TRAC:
Instant ( \(s\) ) |
Plastic deformation by \(Y\) |
Reference |
Aster |
\(\text{\%}\) difference |
difference |
\(t=1.\) |
|
2.1072 10—03 |
2.1096 10—03 |
0.1 |
|
\(\mathrm{t1}=1.45\) |
|
4.8108 10—03 |
4.8135E-03 |
0.056 |
|
2 |
|
4.8108 10—03 |
4.8135E-03 |
0.056 |
Behavior VMIS_CIN1_CHAB:
+—————————–+————————————+————-+————-+—+——————————–++ |**Instant (** :math:`s` **)**|**Plastic deformation by** :math:`Y`|**Reference**|**Aster** |:math:`\text{\%}` **Difference** | +-----------------------------+------------------------------------+-------------+-------------+---+--------------------------------++ |:math:`\mathrm{t1}=1.` |:math:`\mathrm{EPYY}` |2.1072 10—03 |2.1096 10—03 |0.1 || +—————————–+————————————+————-+————-+—+——————————–++ |\(\mathrm{t1}=1.45\) |\(\mathrm{EPYY}\) |4.8108 10—03 |4.81079 10—03 |0.0001 | +—————————–+————————————+————-+————-+—+——————————–++ |2 |\(\mathrm{EPYY}\) |4.8108 10—03 |4.81079 10—03 |0.0001 | +—————————–+————————————+————-+————-+—+——————————–++