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$$$$ IMPO     NOTICE  PV        13/12/13    21:15:01     7883           
                                             DATE     13/12/13

    Operateur IMPOSE                         Voir aussi : RELA EXCI
    ----------------                                      EXTR    
a)  MAIL3     = 'IMPO' 'MAIL' (| 'MESC' |) (CRIT (CRIT2)) MAIL1 MAIL2 ;
                               | 'FAIB' |
                               | 'SYME' |

b)  DEP1 RIG1 = 'IMPO' MAIL1 MAIL2 ;

c)  DEP1 RIG1 = 'IMPO' 'BLOC' MAIL3 ;

d)  MAIL2     = 'IMPO' 'ACTI' MAIL1 DEPTOT ;

e)  MAIL1     = 'IMPO' 'IMPA' 'MAIT'  LI1  'ESCL' | LI2 | ;
                                                    | P1  |

f)  RIG1      = 'IMPO' 'IMPA' MAIL1 ...
                  ... (|               'VECT' VECT1             |
                       | 'HEMI' FLOT1  'VECT' VECT1             |
                       | 'PLAT' FLOT2  'VECT' VECT1             |
                       | 'CONE' FLOT3 'ANGL' FLOT4 'VECT' VECT1 |) ;

    Description:
    ____________

    IMPO is used to calculate a condition of contact between the two
    lines MAIL1 and MAIL2 (of type SEG2) in 2D (PLAN or AXI mode) or
    the two surfaces MAIL1 and MAIL2 (of type TRI3) in 3D.

    Important observation : the only usable syntax when using PASAPAS
    is : a)

a)  In case of keyword MAIL, it builds the intermediate mesh of contact
    elements MAIL3. The optionnal criterium CRIT restricts the generated 
    mesh to elements where distance between nodes is smaller tnan CRIT.
    The optionnal keyword MESC ask for a non symetrical traitement of 
    contact (slave master description). 
    The optionnal keyword FAIB ask for a weak formulation of contact
    where the non penetration condition is written in average for each
    element.
    By default, the traitment of contact is symetrical (that is 
    corresponding to the case of the SYME optional keyword if given).

b)  In 3D, the optionnal criterium CRIT2 is the minimal distance
    between the elements and nodes candidats. It can be used in 
    selfcontact situation to avoid the contact of an element on itself.

b)  It compute the unilateral contact stifness (of type RIGIDITE) and the
    associated gap DEP1 (of type CHPOINT).

c)  In case of keyword BLOC, it use this mesh MAIL3 to build the contact
    stifness RIG1 and the gap DEP1.

d)  When the keyword 'ACTIF' is specified, the operator creates
    the outlines of the lines in contact, given the mesh MAIL1
    (MAILLAGE type object) generated by option b of the current
    operator and the field of displacement that includes the
    Lagrangian multipliers (CHPOINT type object) DEPTOT. The operator
    selects the elements of MAIL1 which have an actif Lagrangian 
    multiplier. Therfore DEPTOT shall be the output of the RESO
    operator.
    Option only available in 2D.

e)  The keywords 'IMPA' 'MAIL' 'ESCL' give all the possible links 
    between two lines or one line and a rigid projectile assumed to be
    a point. These links are not necessary active but they are collected
    into an object type 'MAILLAGE' which contains the physical points (3 
    in case of a contact betwwen two lines, 2 in case of a contact between 
    a line and a point) and the two points which supports the Lagrange 
    multipliers. We suppose that LI1 is the master line and and LI2 or P1 
    are the slave line or node.

    Observation (e):
    ________________

      LI1 , LI2 : meshes of the two contact-lines in 2D

      P1        : point (POI1) which represent the rigid projectile.

      MAIL1     : object type 'MAILLAGE' created (elements type 22).

f)  The keyword 'IMPA' alone creates an object type 'RIGIDITE' which 
    contains the matrix of link conditions (impenetrability) between 
    the nodes for which a contact is detected. In case of a rigid projectile
    (POI1) three noses are available : 'HEMI' (hemispherical), 'PLAT' (flat)
    or 'CONE' (conical). The definition of the axis of the projectile is
    necessary.

    Observations (f):
    _________________

      MAIL1 : object type 'MAILLAGE' (elements type 22) see option e 'MAIL'.

      FLOT1 : radius of the hemispherical projectile (P1 is on the spherical
              nose on the projectile axis).

      FLOT2 : length of the flat projetile (P1 is at the centre of the nose).

      FLOT3 : length of the conical projectile (P1 is at the end of the cone).

      FLOT4 : angle of conical projectile (projectile axis).

      VECT1 : axis of the projectile (object type 'POINT').

      RIG1  : object type 'RIGIDITE' created (link conditions).

    Remarque (f)
    ____________

    The coefficients of the matrix are given for the actual configuration.
    They represent a linearization of the impenetrability conditions.

    Observation:
    ____________

    The lines must be oriented and support the contact condition on their 
    right.

    The surfaces must be oriented (for example with the operator ORIE)
    and support the contact condition on the direction of orientation.


                  MAIL1
            >------------------->  /|\
                                    |
                  MAIL2             | DEP1
            <-------------------<  \|/


 
 
 

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