3. Modeling A#
3.1. 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 material is elastic. The transition consists of NCAL steps. The reference temperature is \({T}_{\mathrm{Ref}}=20°C\).
3.2. Simulation 2#
It’s about looping over NCAL mechanical calculations. 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.
3.3. Behavioral law and material parameters#
The law of behavior tested is” ELAS “documented in the documentation [R4.01.02].
The elastic parameters are as follows:
\(E(T)\), \(\nu (T)\), and \(\alpha (T)\)
Values of the parameters used:
Parameter |
\(T=20°C\) |
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\(E(T)\) |
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\(\nu (T)\) |
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\(\alpha (T)\) |
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3.4. 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 |
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VALE_REF |
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RESU_4 |
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RESU_4 |
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-960. |
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