6. D modeling#
6.1. Characteristics of the mesh#
Type of mesh:
surface master meshes: 4 QUAD4 meshes;
surface slave mesh: 1 QUAD4 mesh.
The meshes are shown in figures and. Surface meshes have \(1.0m\) edges. The mesh QUA4 figure is placed in such a way that the nodes 11, 12, 14, 15 are in the center of gravity of a master mesh QUA4, figure.
6.2. Relationships between slave nodes and master meshes#
The coefficient between the slave and master nodes is \(1/4\).
There are four relationships per degree of freedom that relate to the following nodes:
slave node 11 is connected to nodes 1, 3, 8, 10 of the master mesh.
slave node 12 is connected to nodes 3, 2, 10, 9 of the master mesh.
slave node 14 is connected to nodes 8, 10, 5, 6 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 are three others to be defined:
_F (NOEUD = (“N11”, “N11”, “N1”, “N3”, “N8”, “N10”),
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,
)
6.3. Tested sizes and results#
The sizes tested are:
All the components of the movements at all the nodes of the mesh;
All the components of the SIEF_ELGA constraints at all Gauss points and at all subpoints of the model.
Four calculations are carried out with relationships on the degrees of translation then translation and rotation:
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 \(1.0E-06\).