Modélisation A
==============


Caractéristiques de la modélisation
-----------------------------------

La modélisation **A** est *tridimensionnelle* et *quasi-statique* . On utilise une *modélisation avec intégration sélective*  (MODELISATION = ‘HMS’).


Caractéristiques du maillage
----------------------------

Le maillage utilisé est composé de 11 HEXA20, soit un élément pour chaque couche de la colonne de sol (10 éléments) , et le rocher sur lequel repose la colonne de sol.


Grandeurs testées et résultats
------------------------------

Le tassement est calculé au sommet de chaque couche et comparé à des solutions données GEFDYN:

*Tassement (en millimètres) de la couche n°1*

.. csv-table::

    "Numéro d’étape", "Code_Aster", "GEFDYN", "erreur relative"
    "2", "-4.573", "-4.648", "-1.622%"
    "3", "-8.297", "-8.391", "-1.116%"
    "4", "-11.828", "-11.940", "-0.935%"
    "5", "-15.356", "-15.440", "-0.543%"
    "6", "-18.931", "-18.980", "-0.260%"
    "7", "-22.587", "-22.650", "-0.279%"
    "8", "-26.368", "-26.470", "-0.384%"
    "9", "-30.307", "-30.490", "-0.600%"
    "10", "-34.419", "-34.730", "-0.895%"


*Tassement (en millimètres) de la couche n°2*

.. csv-table::

    "Numéro d’étape", "Code_Aster", "GEFDYN", "erreur relative"
    "3", "-9.093", "-8.409", "8.136%"
    "4", "-16.386", "-15.720", "4.236%"
    "5", "-23.453", "-22.780", "2.956%"
    "6", "-30.555", "-29.830", "2.430%"
    "7", "-37.785", "-37.030", "2.039%"
    "8", "-45.222", "-44.510", "1.600%"
    "9", "-52.942", "-52.360", "1.112%"
    "10", "-60.992", "-60.610", "0.630%"


*Tassement (en millimètres) de la couche n°3*

.. csv-table::

    "Numéro d’étape", "Code_Aster", "GEFDYN", "erreur relative"
    "4", "-12.010", "-11.980", "0.251%"
    "5", "-22.813", "-22.800", "0.055%"
    "6", "-33.445", "-33.410", "0.105%"
    "7", "-44.202", "-44.120", "0.186%"
    "8", "-55.213", "-55.150", "0.115%"
    "9", "-66.589", "-66.650", "-0.091%"
    "10", "-78.419", "-78.730", "-0.395%"


*Tassement (en millimètres) de la couche n°4*

.. csv-table::

    "Numéro d’étape", "Code_Aster", "GEFDYN", "erreur relative"
    "5", "-16.280", "-15.470", "5.238%"
    "6", "-30.682", "-29.840", "2.821%"
    "7", "-44.984", "-44.110", "1.981%"
    "8", "-59.522", "-58.650", "1.486%"
    "9", "-74.471", "-73.690", "1.060%"
    "10", "-89.956", "-89.430", "0.588%"


*Tassement (en millimètres) de la couche n°5*

.. csv-table::

    "Numéro d’étape", "Code_Aster", "GEFDYN", "erreur relative"
    "6", "-20.109", "-19.020", "5.725%"
    "7", "-38.202", "-37.050", "3.109%"
    "8", "-56.300", "-55.150", "2.085%"
    "9", "-74.776", "-73.700", "1.460%"
    "10", "-93.833", "-92.980", "0.917%"


*Tassement (en millimètres) de la couche n°6*

.. csv-table::

    "Numéro d’étape", "Code_Aster", "GEFDYN", "erreur relative"
    "7", "-23.832", "-22.680", "5.080%"
    "8", "-45.723", "-44.540", "2.657%"
    "9", "-67.763", "-66.650", "1.669%"
    "10", "-90.345", "-89.440", "1.012%"


*Tassement (en millimètres) de la couche n°7*

.. csv-table::

    "Numéro d’étape", "Code_Aster", "GEFDYN", "erreur relative"
    "8", "-27.632", "-26.500", "4.271%"
    "9", "-53.465", "-52.380", "2.072%"
    "10", "-79.610", "-78.720", "1.131%"


*Tassement (en millimètres) de la couche n°8*

.. csv-table::

    "Numéro d’étape", "Code_Aster", "GEFDYN", "erreur relative"
    "9", "-31.369", "-30.520", "2.783%"
    "10", "-61.288", "-60.630", "1.085%"


*Tassement (en millimètres) de la couche n°9*

.. csv-table::

    "Numéro d’étape", "Code_Aster", "GEFDYN", "erreur relative"
    "10", "-35.435", "-34.750", "1.973%"



Commentaires
------------

L’erreur relative est d’au maximum :math:`\text{9\%}` , ce qui est relativement satisfaisant.