6. D modeling#

6.1. Characteristics of the mesh#

Mesh: the mesh is composed of two superimposed QUAD4 cells with four nodes (\(\mathit{N1}\), \(\mathit{N2}\), \(\mathit{N3}\), \(\mathit{N4}\)). One of the meshes is intended to model a DKT element and the other is intended to model a GRILLE_EXCENTRE element.

_images/1000000000000270000002902F67A4BE09F6D24C.png

The eccentric grid mesh has four integration points and a single subpoint.

  • Node group \(\mathit{ENC}\) is composed of nodes \(\mathit{N1}\) and \(\mathit{N2}\)

  • Node group \(\mathit{CHA}\) is composed of nodes \(\mathit{N3}\) and \(\mathit{N4}\)

6.2. Characteristics of modeling#

Modeling:

MO= AFFE_MODELE (MAILLAGE =MA,

AFFE =(

_F (GROUP_MA =” PLA “, PHENOMENE =” MECANIQUE”, MODELISATION =” DKT “),

_F (GROUP_MA =” GRI “, PHENOMENE =” MECANIQUE”,

MODELISATION =” GRILLE_EXCENTRE “,))

)

Boundary conditions:

BLOCAGE = AFFE_CHAR_MECA (MODELE =MO,

DDL_IMPO =_F (GROUP_NO =” ENC “,

DX=0.0, DY=0.0, DZ=0.0, DRX =0.0, =0.0, DRY =0.0, DRZ =0.0,),

)

Mechanical loading:

CHARGE = AFFE_CHAR_MECA (MODELE =MO,

FORCE_NODALE =_F (GROUP_NO =” CHA “, FX=0, FX=0, FZ=-100. ),

)

Assignment of the characteristics of the elements:

PLAQUE = AFFE_CARA_ELEM (MODELE =MO,

COQUE =_F (GROUP_MA =( “PLA”), EPAIS =0.05,),

GRILLE =_F (GROUP_MA =( “GRI”), SECTION = 0.01, EXCENTREMENT = 0.05,

ANGL_REP =( 10,10),),

)

6.3. Tested values and results#

Coordinated mesh QUA2

Point integration

sub-point

Reference

COOR_X

1

1

1

0.334844823

COOR_Y

1

1

1

0.265331216

COOR_Z

1

1

1

0.208012702

Tolerance is \(1.0E-03\) for all tests.