8. F modeling#

8.1. Characteristics of the mesh#

Type of mesh:

  • surface master meshes: 4 QUAD4 meshes;

  • linear slave mesh: 1 SEG2 mesh.

The meshes are shown in figures and. Surface meshes have edges of length \(1.0m\), mesh SEG2 has a length of \(1.0m\). The mesh SEG2 figure is placed in such a way that the projection of the nodes 12, 15 are at the center of gravity of a master mesh QUA4, figure. The nodes 12, 15 are offset by \(0.05m\) compared to the master stitches, the objective is to check the correct functioning of TYPE = EXCENTREMENT.

8.2. Relationships between slave nodes and master meshes#

The coefficient between the slave and master nodes is \(1/4\).

There are two relationships per degree of freedom that concern the following nodes:

  • slave node 12 is connected to nodes 3, 2, 10, 9 of the master mesh.

  • slave node 15 is connected to the nodes 10, 9, 6, 7 of the master mesh.

The first relationship is of the form, there is another one to be defined:

_F (NOEUD = (“N12”, “N3”, “N2”, “N10”, “N9”),

DDL = (“DX”, “DX”, “DX”, “DX”, “DX”, “DX”,),

COEF_MULT = (-1.0,0.25,0.25,0.25,0.25,0.25,),

COEF_IMPO = 0.0,

)

8.3. Tested sizes and results#

The sizes tested are:

  • All movement components at all nodes in the mesh.

  • All the components of the SIEF_ELGA constraints at all Gauss points and at all subpoints of the model.

Six calculations are carried out with relationships on the degrees of translation, translation and rotation, of translation with TYPE = EXCENTREMENT:

  • with the LIAISON_PROJ keyword from the AFFE_CHAR_MECA command;

  • with the LIAISON_DDL keyword from the AFFE_CHAR_MECA command.

For each calculation and for each field, a table is created and then combined in order to differentiate between the two solutions obtained. These solutions must be exactly the same, so the value to be tested is \(0\).

The displacement fields are normalized with respect to the imposed displacement, the constraint fields are normalized with respect to \(\mathrm{1MPa}\).

The tolerance for all fields, for all nodes, and for all components is \(1.0E-06\).