3. Modeling A#
3.1. Characteristics of modeling#
The calculation is a solution in linear mechanics. An error indicator per residue is then calculated. The consideration of surface terms is then tested. The following dual calculation is defined to optimize component \(\mathrm{DZ}\) of the displacement field. To do this, the load is modified by cancelling the external pressures and by adding an internal volume force, unitary according to \(Z\).
The same calculation is done twice. The first calculation is carried out with loads expressed in the form of real constants. The second calculation is done with loads in the form of functions. The results are exactly the same.
3.2. Characteristics of the mesh#
The initial mesh was created « by hand », in MED format. He is in degree 1. He went to degree 2 with command MODI_MAILLAGE.
Each volume shape corresponds to a unique 3D mesh. The hexahedron is in contact on one of its faces with the pentahedron and on an adjacent face with the pyramid. The tetrahedron is located between the pentahedron and the pyramid. Thus, each volume mesh is in contact with two other meshes of different types, on the one hand, and with the outside, on the other hand. The only contact not shown is that between the pentahedron and the pyramid. The 2D meshes bordering the domain are all created.
Number of knots: |
11 |
TRIA6 number: |
6 |
QUAD8 number: |
6 |
TETRA10 number: |
1 |
PENTA15 number: |
1 |
PYRAM13 number: |
1 |
HEXA20 number: |
1 |
The groups are defined in order to be able to apply the material and the loads and to perform the final test.
\(\mathrm{MESURE}\) |
The common knot for all 3D meshes. |
\(\mathrm{VOLUME}\) |
The 4 volume meshes. |
\(\mathrm{CHARHEXA}\) |
The upper side of the hexahedron. |
\(\mathrm{CHARPENT}\) |
The top side of the pentahedron. |
\(\mathrm{CHARPYRA}\) |
The top side of the pyramid. |
\(\mathrm{CHARTETR}\) |
The upper side of the tetrahedron. |
\(\mathrm{MURHEXA}\) |
The back side of the hexahedron. |
\(\mathrm{MURPENT}\) |
The back side of the pentahedron. |
\(\mathrm{LIBRE2}\) |
The face of the hexahedron opposite the pentahedron. |
\(\mathrm{LIBRE}\) |
The 5 other sides of the board. |
3.3. Tested sizes and results#
The non-regression is tested on the vertex common to all the cells.
Field |
Component |
Value |
DEPL |
DZ |
-0.0186729786 |
ERME_NOEU primal |
ERREST |
9358,16222031 |
ERME_NOEU dual |
ERREST |
39919,0267977 |
QIRE_NOEU |
|
-4623,29451753 |
Table 3.3-1 .: Reference values