Modélisation A ============== Caractéristiques de la modélisation ----------------------------------- .. csv-table:: "Modélisation volumique:", "1 maille HEXA20 1 maille QUAD8" .. image:: images/10001B9600001C02000015309D009CE50DA8878C.svg :width: 361 :height: 273 .. _RefImage_10001B9600001C02000015309D009CE50DA8878C.svg: **Conditions aux limites:** +-----------------------+---------------------------------+-----------------------------------------------------------------------------------------------------------------+ |:math:`\mathit{N2}` : | |:math:`\mathit{N9}` , :math:`\mathit{N13}` , :math:`\mathit{N14}` , :math:`\mathit{N5}` , :math:`\mathit{N17}` : | | :math:`\mathit{N1}` : | .. image:: images/Object_56.svg | | | :math:`\mathit{N6}` : | :width: 361 | .. image:: images/Object_59.svg | | | :width: 120 | :width: 120 | | | | :height: 24 | | | | | | | .. _RefImage_Object_56.svg: | | | | | .. _RefImage_Object_59.svg: | | | | | | | .. image:: images/Object_57.svg | | | | :width: 361 | | | | :height: 273 | | | | | | | | | | | | .. _RefImage_Object_57.svg: | | | | | | | | | | | | .. image:: images/Object_58.svg | | | | :width: 361 | | | | :height: 273 | | | | | | | | | | | | .. _RefImage_Object_58.svg: | | | | | | | | | | +-----------------------+---------------------------------+-----------------------------------------------------------------------------------------------------------------+ **Charge:** Traction sur la face :math:`[348711161915]` Caractéristiques du maillage ---------------------------- Nombre de nœuds: 20 Nombre de mailles: 2 1 HEXA20 1 QUAD8 Grandeurs testées et résultats ------------------------------ +------------------------------------------------------------------------+---------------+ | **Identification** | **Référence** | +------------------------------------------------------------------------+---------------+ | :math:`t=2` Déplacement :math:`\mathit{DX}` (:math:`\mathit{N8}` ) | 100 | +------------------------------------------------------------------------+---------------+ | :math:`t=2` Déplacement :math:`\mathit{DY}` (:math:`\mathit{N8}` ) | –37 | +------------------------------------------------------------------------+---------------+ | :math:`t=2` Déplacement :math:`\mathit{DZ}` (:math:`\mathit{N8}` ) | –37 | +------------------------------------------------------------------------+---------------+ | :math:`t=2` Contraintes :math:`\mathit{SIGXX}` (:math:`\mathit{PG1}` ) | 1399.66 | +------------------------------------------------------------------------+---------------+ | :math:`t=2` Contraintes :math:`\mathit{SIGYY}` (:math:`\mathit{PG1}` ) | 11013.986 | +------------------------------------------------------------------------+---------------+ .. math:: :label: eq-0 t=2 \textrm{Contraintes :math:`\mathit{SIGZZ}` (:math:`\mathit{PG1}` )} +------------------------------------------------------------------------+---+ | :math:`t=2` Contraintes :math:`\mathit{SIGXY}` (:math:`\mathit{PG1}` ) | 0 | +------------------------------------------------------------------------+---+ .. math:: :label: eq-0 t=2 \textrm{Contraintes :math:`\mathit{SIGXZ}` (:math:`\mathit{PG1}` )} +------------------------------------------------------------------------+----------+ | :math:`t=2` Contraintes :math:`\mathit{SIGYZ}` (:math:`\mathit{PG1}` ) | 0 | +------------------------------------------------------------------------+----------+ | :math:`t=2` Variable | 8.9110–2 | | | | | .. image:: images/Object_60.svg | | | :width: 361 | | | :height: 273 | | | | | | | | | .. _RefImage_Object_60.svg: | | | | | | :math:`\mathit{VARI}` (:math:`\mathit{PG1}` ) | | +------------------------------------------------------------------------+----------+ | | | +------------------------------------------------------------------------+----------+ .. math:: :label: eq-0 t=3 \textrm{Déplacement :math:`\mathit{DX}` (:math:`\mathit{N8}` )} +--------------------------------------------------------------------+---+ | :math:`t=3` Déplacement :math:`\mathit{DY}` (:math:`\mathit{N8}` ) | 0 | +--------------------------------------------------------------------+---+ .. math:: :label: eq-0 t=3 \textrm{Déplacement :math:`\mathit{DZ}` (:math:`\mathit{N8}` )} +------------------------------------------------------------------------+---+ | :math:`t=3` Contraintes :math:`\mathit{SIGXX}` (:math:`\mathit{PG1}` ) | 0 | +------------------------------------------------------------------------+---+ .. math:: :label: eq-0 t=3 \textrm{Contraintes :math:`\mathit{SIGYY}` (:math:`\mathit{PG1}` )} +------------------------------------------------------------------------+---+ | :math:`t=3` Contraintes :math:`\mathit{SIGZZ}` (:math:`\mathit{PG1}` ) | 0 | +------------------------------------------------------------------------+---+ .. math:: :label: eq-0 t=3 \textrm{Contraintes :math:`\mathit{SIGXY}` (:math:`\mathit{PG1}` )} +------------------------------------------------------------------------+---+ | :math:`t=3` Contraintes :math:`\mathit{SIGXZ}` (:math:`\mathit{PG1}` ) | 0 | +------------------------------------------------------------------------+---+ .. math:: :label: eq-0 t=3 \textrm{Contraintes :math:`\mathit{SIGYZ}` (:math:`\mathit{PG1}` )} +---------------------------------------------------------------------+------------+ | :math:`t=3` Variable | 0 | | | | | .. image:: images/Object_61.svg | | | :width: 361 | | | :height: 273 | | | | | | | | | .. _RefImage_Object_61.svg: | | | | | | :math:`\mathit{VARI}` (:math:`\mathit{PG1}` ) | | +---------------------------------------------------------------------+------------+ | | | +---------------------------------------------------------------------+------------+ | :math:`t=2` Force nodale :math:`\mathit{DX}` (:math:`\mathit{N8}` ) | –1.0817108 | +---------------------------------------------------------------------+------------+ .. math:: :label: eq-0 t=2 \textrm{Force nodale :math:`\mathit{DY}` (:math:`\mathit{N8}` )} +---------------------------------------------------------------------+---+ | :math:`t=2` Force nodale :math:`\mathit{DZ}` (:math:`\mathit{N8}` ) | 0 | +---------------------------------------------------------------------+---+ Remarques --------- **Calcul de la force nodale:** La force appliquée sur la face :math:`[3,4]` , .. image:: images/Object_62.svg :width: 361 :height: 273 .. _RefImage_Object_62.svg: , se répartit entre les différents nœuds suivant la pondération suivante: * nœuds sommets: .. image:: images/Object_63.svg :width: 361 :height: 273 .. _RefImage_Object_63.svg: * nœuds milieux: .. image:: images/Object_64.svg :width: 361 :height: 273 .. _RefImage_Object_64.svg: .. image:: images/1000045A00000F6600000CD1D051E52336168495.svg :width: 361 :height: 273 .. _RefImage_1000045A00000F6600000CD1D051E52336168495.svg: