D modeling ============== Characteristics of modeling ----------------------------------- Simulation 1 ~~~~~~~~~~~~ This is a thermomechanical test with zero imposed deformation along axis :math:`x`. The test is performed on an element of BARRE with the STAT_NON_LINE command. The temperature varies from :math:`{T}_{0}=20°C` to :math:`{T}_{\mathrm{max}}=100°C`. The material is able to be plasticized. The transition consists of NCAL steps. The reference temperature is :math:`{T}_{\mathrm{ref}}=20°C`. Simulation 2 ~~~~~~~~~~~~ It is a question of looping on mechanical NCALcalculs. For each calculation :math:`i`, the imposed load consists of the thermal deformation :math:`{\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. Material properties ---------------------- The law of behavior tested is' VMIS_CINE_LINE 'documented in doc [:ref:`R5.03.09 `]. This law involves symmetric linear kinematic work hardening. The elastic parameters are as follows: :math:`E(T)`, :math:`\nu (T)`, and :math:`\alpha (T)` The elastoplastic parameters are as follows: :math:`{\sigma }_{y}(T)`, :math:`{E}_{T}(T)` Values of the parameters used: .. csv-table:: "Settings", ":math:`T=20°C` "," :math:`T=500°C`" ":math:`E(T)` "," :math:`2.E11` Pa", ":math:`1.E11` Pa" ":math:`\nu (T)` "," :math:`0.` "," :math:`0.`" ":math:`\alpha (T)` "," :math:`1.E-5` :math:`{K}^{-1}` "," :math:`2.E-5` :math:`{K}^{-1}`" ":math:`{\sigma }_{y}(T)` "," :math:`2.E8` Pa", ":math:`1.E8` Pa" ":math:`{E}_{T}(T)` "," :math:`2.E9` Pa", ":math:`1.E9` Pa" 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 :math:`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 :math:`i+1` of the loop on the NCAL. .. csv-table:: "Result at order number :math:`i` ", "Name of the tested parameter", "Name of the tested parameter", "Reference type", "Tolerance" "RESU_i "," NOM_PARA ", "", "VALE_REF "," TOLE" "RESU_19 ", "N", "NON_REGRESSION ", "-1.086E8"," 0.1%" "RESU_19 ", "V1"," NON_REGRESSION ", "-8.6E6", ""