6. D modeling#
6.1. Simulation 1#
This is a thermomechanical test with zero imposed deformation along axis \(x\). The test is performed on a hardware point with the SIMU_POINT_MAT command. The temperature varies from \({T}_{0}=20°C\) to \({T}_{\mathrm{max}}=500°C\). The transition consists of NCAL steps. The reference temperature is \({T}_{\mathrm{Ref}}=20°C\)
6.2. Simulation 2#
It’s about looping on NCALcalculs mechanics. 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.
6.3. Behavioral law and material parameters#
The law of behavior tested is” ELAS_VMIS_TRAC “, documented in the documentation [R7.02.03].
It is a « non-linear » law of elastic behavior (law of HENCKY), from VON MISES to non-linear isotropic work hardening.
The elastic parameters are as follows:
\(E(T)\), \(\nu (T)\), \(\alpha (T)\), \(\sigma (\varepsilon ,T)\)
Values of the parameters used:
Parameter |
\(T=20°C\) |
|
\(E(T)\) |
|
|
\(\nu (T)\) |
|
|
\(\alpha (T)\) |
|
|
Parameter |
Temperature |
\(\varepsilon =0.005\) |
\(\varepsilon =1.005\) |
\(\sigma (\varepsilon ,T)\) |
\(20°C\) |
\(1000.\) MPa |
\(3000.\) MPa |
\(500°C\) |
\(800.\) MPa |
\(2000.\) MPa |
6.4. 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 thermomechanical simulation performed 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 serial number i |
Name of the tested parameter |
Reference type |
Reference value |
tolerance |
|
RESU_i |
|
VALE_REF |
|
||
RESU_19 |
|
|
905.918 |
|
|
RESU_19 |
|
|
-905.918 |
|
|
RESU_19 |
V1 |
|
0.08694 |
|