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$$$$ KP       NOTICE  BP208322  14/02/17    21:15:07     7960           
                                             DATE     14/02/17
                                             
  Operateur KP                             Voir aussi :
    ------------   
     Cas 1 :
     -------

      RIG1 = KP  MODL1 | CHPO1 | ( 'FLAM' ) ( 'ASYM' ) ;
                       | CHAM1 |

     Cas 2 :
     -------

      RIG1 = KP  MODL1 RG (VEC1) ( 'FLAM' ) ( 'ASYM' ) ;
                       



    Description :
    ___________

    The KP operator calculates the load correction matrix associated 
    with the linearization of the pressure action around an 
    equilibrum state.

    Case 1 : Calculation of the stiffness associated with the changement 
    -------- of the normal direction and of the surface area.

    Case 2 : Calculation of the stiffness associated with the variation
    -------- of the pressure value "seen" by a sructure moving in a
             pressure field with an "imposed" linear gradient, which 
             does not depend on the movement of the strucure (e.g.
             hydrostatic pressure).
             At present, this option is available only for the COQ3, DKT,
             DST and COQ4 elements.


      Contents :
      __________


      MODL1  : model object (MMODEL type)

      CHPO1  : pressure field (CHPOINT type)

      CHAM1  : pressure field (MCHAML type)

     'FLAM'  : key word required when the user wishes to employ
               the matrix for performing a buckling analysis 
               (optional).
              
     'ASYM'  : key word required when the user wishes to calculate
               the non-symmetric matrix (optional).
      
      RG     : value of the pressure gradient (FLOTTANT type). For 
               example in the case of hydrosatique pressure RG=p*g,
               in which p is the fluid masse density and g the gravity 
               acceleration.

      VEC1   : pressure gradient direction (POINT type). By default
               it is taken as the local normal of each surface element
               of the mesh underlying the model MODL1. This enables
               the calculation of the stiffness associated with a 
               Winkler type soil (soil stress proportional to the 
               normal displacement). In this case RG is the value of
               the Winkler constant.
              
      RIG1   : generated object (RIGIDITE type)



    Note :
    ________

    The harmonic number in case of a Fourier's series analysis is
    defined by the OPTION instruction. 
    The 'ASYM' option is not available for the coq2-elements  (Fourier's
    series).
 
 
 
 

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