Thermal characteristics ==== The various thermal behaviors are mutually exclusive. .. _RefNumPara__120061_1070254933: Tags factor THER, THER_FO ---- Definition of constant linear thermal characteristics or a function defined by a concept such as a function of the parameter 'INST'. Operands LAMBDA/RHO_CP ~~~~ .. code-block:: text LAMBDA = normal Isotropic thermal conductivity. .. code-block:: text RHO_CP = CP Density heat at constant pressure (product of density and specific heat). This is the coefficient appearing in the equation: :math:`\mathit{cp}\dot{T}\mathrm{-}\text{div}(\lambda \mathrm{.}\mathit{grad}T)\mathrm{=}f` .. _RefNumPara__120063_1070254933: Keyword factor THER_ORTH ---- Definition of thermal characteristics for an orthotropic material. The reader may refer to the following documentation: [:external:ref:`U4.42.03 `] DEFI_COMPOSITE [:external:ref:`U4.42.01 `] AFFE_CARA_ELEM to define the longitudinal direction associated with shells or non-isotropic 3D. .. image:: images/10000000000002EE0000019A718721A540F524E6.png :width: 3.2807in :height: 1.7598in Operands LAMBDA/RHO_CP ~~~~ .. code-block:: text LAMBDA_L = lal Thermal conductivity in the longitudinal direction. .. code-block:: text LAMBDA_T = lat Thermal conductivity in the transverse direction. .. code-block:: text LAMBDA_N = lan Thermal conductivity in the normal sense. .. code-block:: text RHO_CP = CP Volume heat. .. _RefNumPara__120065_1070254933: Keyword factor THER_NL ---- Allows you to describe thermal characteristics that depend on temperature. The formulation involves volume enthalpy (cf. [:ref:`R5.02.02 `]). :math:`\dot{\beta }-\text{div}(\lambda (T)\mathrm{.}\mathrm{grad}T)=f` Operands BETA/LAMBDA/RHO_CP ~~~~ .. code-block:: text BETA = beta Volume enthalpy as a function of temperature. For enthalpy, the extensions of the function are necessarily linear. .. code-block:: text RHO_CP = CP Volume heat. If the enthalpy is not provided by the user, it will be calculated by integrating RHO_CPet will not be extended to the left. RHO_CPdoit therefore be defined over the entire calculation range which means that the extension to the left of RHO_CPest ignored for the estimation of the enthalpy. .. code-block:: text LAMBDA = normal Isotropic thermal conductivity as a function of temperature. **Note:** *It is not possible to use a formula for these three material parameters because the algorithm needs to calculate their derivative many times, which is more easily accessible for a piecewise linear function. Thus, if the user wants to use a formula rather than a function, he must first tabulate it using the command* *CALC_FONC_INTERP.* .. _RefNumPara__120067_1070254933: Tags factor THER_COQUE, THER_COQUE_FO ---- Allows to define membrane and transverse conductivities and heat capacity for homogenized heterogeneous thermal shells. The directions 1 and 2 designate those of the plane of the plate, the direction 3 is perpendicular. It is assumed that the conductivity tensor at each point is diagonal and that its eigenvalues are l1, l2 and l3. The coefficients are therefore defined by the user in the orthotropy coordinate system of the plate. The code then changes the coordinate system to find the correct values in the element coordinate system. Operands COND_LMM/COND_LMP/COND_LPP/COND_LSI//COND_TMM//COND_TMP/COND_TPP/COND_TSI ~~~~ P1, P2, P3 designate the functions of interpolation of the temperature in the thickness. If a is the mean surface conductivity matrix defined in the note [:ref:`R3.11.01 `], then we have for the membrane conductivity tensor. .. code-block:: text COND_LMM = a1111 term related to the integral of L1*P1*P1 .. code-block:: text COND_LMP = a1112 term related to the integral of L1*p1*p2 .. code-block:: text COND_LPP = a1122 term related to the integral of L1*p2*p2 .. code-block:: text COND_LSI = a1123 term related to the integral of L1*p2*p3 .. code-block:: text COND_TMM = a2211 term related to the integral of L2*p1*p1 .. code-block:: text COND_TMP = a2212 term related to the integral of L2*p1*p2 .. code-block:: text COND_TPP = a2222 term related to the integral of L2*p2*p2 .. code-block:: text COND_TSI = a2223 term related to the integral of L2*p2*p3 Operands COND_NMM/COND_NMP/COND_NPP/COND_NSI If b is the tensor that describes transverse conduction and exchanges on surfaces :math:`{\omega }_{\text{+}}` and :math:`{\omega }_{\text{-}}`, defined in the note [:ref:`R3.11.01 `], we have for the transverse conductivity tensor: .. code-block:: text COND_NMM = b11 term related to the integral of L3*p1*p1 .. code-block:: text COND_NMP = B12 term related to the integral of L3*p1*p2 .. code-block:: text COND_NPP = b22 term related to the integral of L3*p2*p2 .. code-block:: text COND_NSI = b23 term related to the integral of L3*p2*p3 Operands CMAS_MM/CMAS_MP/CMAS_PP/CMAS_SI ~~~~ Finally, we have for the heat capacity tensor. .. code-block:: text CMAS_MM = c11 term related to the integral of RHOCP *P1*P1 .. code-block:: text CMAS_MP = c12 term related to the integral of RHOCP *P1*P2 .. code-block:: text CMAS_PP = c22 term related to the integral of RHOCP *P2*P2 .. code-block:: text CMAS_SI = c23 term related to the integral of RHOCP *P2*P3 Keyword factor THER_NL_ORTH ---- Identical to THER_NL, making it possible to describe thermal characteristics dependent on temperature, this material also allows the definition of thermal characteristics for an orthotropic material, which may themselves depend on temperature. The reader may refer to the following documentation: [:external:ref:`U4.42.03 `] DEFI_COMPOSITE [:external:ref:`U4.42.01 `] AFFE_CARA_ELEM to define the longitudinal direction associated with shells or non-isotropic 3D. .. image:: images/10000000000002EE0000019A718721A540F524E6.png :width: 3.2807in :height: 1.7598in .. _RefImage_10000000000002EE0000019A718721A540F524E6.png0: Operands BETA/LAMBDA/RHO_CP ~~~~ .. code-block:: text BETA = beta Volume enthalpy as a function of temperature. For enthalpy, the extensions of the function are necessarily linear. .. code-block:: text RHO_CP = CP Volume heat. If the enthalpy is not provided by the user, it will be calculated by integrating RHO_CPet will not be extended to the left. RHO_CPdoit therefore be defined over the entire calculation range which means that the extension to the left of RHO_CPest ignored for the estimation of the enthalpy. .. code-block:: text LAMBDA_L = lal Thermal conductivity in the longitudinal direction. .. code-block:: text LAMBDA_T = lat Thermal conductivity in the transverse direction. .. code-block:: text LAMBDA_N = lan Thermal conductivity in the normal sense. **Note:** *It is not possible to use a formula for these material parameters because the algorithm needs to calculate their derivative many times, which is more easily accessible for a piecewise linear function. Thus, if the user wants to use a formula rather than a function, he must first tabulate it using the command* *CALC_FONC_INTERP.* .. _RefNumPara__121347_1070254933: