3. Modeling A#

3.1. Characteristics of modeling#

3.1.1. Simulation 1#

This is a thermomechanical test with zero imposed deformation along the local \(x\) axis. The test is performed on an element of BARRE with the STAT_NON_LINE command. The temperature varies from \({T}_{0}=20\) to \({T}_{\mathrm{max}}=500°C\). The transition consists of NCAL steps.

The reference temperature is \({T}_{\mathrm{ref}}=20°C\).

3.1.2. 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 (normal force) and internal variables from the previous mechanical calculation.

3.2. Material properties#

The law of behavior tested is” ELAS “. This law is elastic.

The elastic parameters are as follows:

\(E(T)\), \(\nu (T)\), and \(\alpha (T)\)

Values of the parameters used:

Settings

\(T=20°C\)

\(T=500°C\)

\(E(T)\)

\(200000.\) MPa

\(100000.\) MPa

\(\nu (T)\)

\(0.\)

\(0.\)

\(\alpha (T)\)

\(1.E-5\) \({K}^{-1}\)

\(2.E-5\) \({K}^{-1}\)

3.3. 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 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 order number \(i\)

Name of the tested parameter

Name of the tested parameter

Reference type

tolerance

RESU_i

NOM_PARA

VALE_REF

TOLE

RESU_4

N

NON_REGRESSION

-960.

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