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$$$$ SIF      NOTICE  CHAT      11/09/12    21:18:04     7124           
                                             DATE     11/09/12
                                             
  Procedure SIF                            Voir aussi :
    -------------   
    SIF   MAT1  DEP1  TAB1 ;

                        TAB1.'FRTFISS'
                            .'LIFIS1' .'LIFIS2'
                            .'MODMIXTE'
                            .'MAILLAGE' .'PFS1' .'DEBOUCH' .'PDEBOUCH'
                            .'EPAI' .'FLEXION' .'MEMBRANE'


    Description :
    _____________

    This procedure calculates the stress intensity factor in
    mode I (possibly in mode II) from the displacements of the 
    sides of the crack.
    The calculated value is a mean of the three points which are
    closest to the crack tip.
    This procedure applies in two and three dimensions.
    IN 2D, the problem relative to a loading in mixed mode can be
    solved.
    In 3D with massive elements, for each node of the crack front, 
    the stress intensity factor is calculated from the displacements
    of the points located in the plane normal to the crack front at 
    the considered node. (before working out the mesh, make sure that
    you will have these planes normal to the crack front). If the
    crack is opening,the plane stress formula is applied to the
    points located at the surface.
    In 3D with thin shells, the membrane and bending terms of the 
    stress intensity factor can be computed. The bending term is
    deduced from the knot rotations inducing a strain at the extern
    skin of the shells. Mixed mode loadings are supported.
    
    Contents :
    _________

    Input data :
    __________

    MAT1  : field of material properties

    DEP1  : displacement field

    TAB1  : TABLE type object, indexed by words, used to define
            the calculation options and parameters :

      Arguments for a two-dimensional problem
      ________________________________________

       index      pointed object     comments
                      type 

      FRTFISS        POINT        crack point

      LIFIS1         MAILLAGE     line describing the side of the
                                  crack

      MODMIXTE        LOGIQUE      VRAI (true) if loading in mixed mode

      LIFIS2         MAILLAGE     if loading in mixed mode, line
                                  describing the second side of the crack

      Arguments for a three-dimensional problem with massive elements
      _______________________________________________________________

       index      pointed object     comments
                      type 

      FRTFISS        MAILLAGE     line describing the front crack

      PSF1           POINT        point of the crack surface that 
                                  does not pertain to the front

      DEBOUCH        LOGIQUE      VRAI (true) if the crack is opening

      PDEBOUCH    POINT/MAILLAGE  points of the front located at the
                                  surface

      Arguments for a three-dimensional problem with thin shells
      __________________________________________________________

       index      pointed object     comments
                      type 

      FRTFISS        POINT        crack point

      LIFIS1         MAILLAGE     line describing the side of the
                                  crack

      MODMIXTE        LOGIQUE      VRAI (true) if loading in mixed mode

      LIFIS2         MAILLAGE     if loading in mixed mode, line
                                  describing the second side of the crack

      EPAI           FLOTTANT     shell thickness

      MEMBRANE       LOGIQUE      VRAI (true) for membrane term
                                  computing

      FLEXION        LOGIQUE      VRAI (true) for bending term compting


      Output data :
      _____________

      On output, TAB1 makes it possible to recover the values of
      the stress intensity factor

      index      pointed object     comments
                      type 

      K1           FLOTTANT/TABLE   in 2D, floating : value of K1
                                    in 3D with massive elements, table
                                    containing the values of K1 at 
                                    each node of the front
                                    in 3D with thin shells, table
                                    containing 3 FLOTTANT (floatings) :
                                      MEMBRANE : membrane term
                                      FLEXION  : bending term
                                      TOTAL    : sum of both terms

      K2             FLOTTANT       for mixed mode loadings :
                                    in 2D, floating : value of K2 
                                    in 3D with thin shells, table
                                    containing 3 FLOTTANT (floatings) :
                                      MEMBRANE : membrane term
                                      FLEXION  : bending term
                                      TOTAL    : sum of both terms

      Example : in order to list the K factor calculated at the node 
                P15 of the crack front, code : LIST (TAB1.K1.P15)


      Note :
      _______

      If the impi 1 option is used, the straight line plot V**2=f(r) 
      adjusted by the least square method is superimposed on the
      values of V**2 at the crack first three nodes; the R1
      coefficient which stands for the adjustment of the straight 
      line is also specified (R1=1 : perfect adjustment).
      In addition, the crack opening (curve V=f(r)) is plotted.
      The sign of K in mode II is conventionnaly given : a positive
      displacement of the upper crack side in the local coordinate system
      (or a negative displacement of the lower crack side) implies a 
      positive K II. If the upper crack side is given in 'LIFIS1' and the 
      lower in 'LIFIS2', the sign convention is respected. Otherwise the 
      crack sides are swapped and the folowing message is prompted :
           ATTENTION! Echange des lignes de fissure!

 
 

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