4. B modeling#
4.1. Characteristics of modeling#
4.1.1. Simulation 1#
This is a thermomechanical test with zero imposed deformation along axis \(x\). The test is performed on an element of BARRE with the STAT_NON_LINE command. The temperature varies from \({T}_{0}=20°C\) to \({T}_{\mathrm{max}}=500°C\). The material is able to be plasticized. The transition consists of NCAL steps. The reference temperature is \({T}_{\mathrm{ref}}=20°C\).
4.1.2. Simulation 2#
It is a question of looping on mechanical NCALcalculs. For each calculation \(i\), the imposed load consists of the thermal deformation \({\varepsilon }_{\mathrm{xx}}=-{\varepsilon }_{\mathrm{th}}=-\alpha (T)({T}_{i}-{T}_{\mathrm{Ref}})\). The initial load consists of the deformations, stresses and internal variables from the previous mechanical calculation.
4.2. Material properties#
The law of behavior tested is” VMIS_ISOT_LINE “documented in doc [R5.03.09]. This law uses symmetric linear isotropic work hardening.
The elastic parameters are as follows:
\(E(T)\), \(\nu (T)\), and \(\alpha (T)\)
The elastoplastic parameters are as follows:
\({\sigma }_{y}(T)\), \({E}_{T}(T)\)
Values of the parameters used:
Settings |
\(T=20°C\) |
|
\(E(T)\) |
|
|
\(\nu (T)\) |
|
|
\(\alpha (T)\) |
|
|
\({\sigma }_{y}(T)\) |
|
|
\({E}_{T}(T)\) |
|
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4.3. Tested sizes and results#
Validation is carried out by comparing the fields calculated at each step of the transient on the one hand and the result of a mechanical calculation on the other hand.
The command used is TEST_TABLE which tests the reference value against the calculated value.
The reference value being the field component extracted at a given time \(i\) from the first thermo-mechanical simulation carried out over NCAL times. The calculated value is the one obtained at the end of the mechanical calculation \(i+1\) of the loop on the NCAL.
Result at order number \(i\) |
Name of the tested parameter |
Name of the tested parameter |
Reference type |
Tolerance |
RESU_i |
|
VALE_REF |
|
|
RESU_19 |
N |
NON_REGRESSION |
-95.5 |
|
RESU_19 |
V1 |
|
8.645E-03 |
|