3. Modeling A#
3.1. Characteristics of modeling#
The reinforcing plies on the lower and upper faces are represented by an equivalent membrane model. The stiffness coefficients of this membrane are calculated by a homogenization method detailed in reference [1]. The value of these coefficients is specified in the table below:
Parameter |
Value (Pa.m) |
\({M}_{\mathit{LLLL}}\) |
5.46223E8 |
\({M}_{\mathit{LLTT}}\) |
3.90776E7 |
\({M}_{\mathit{TTTT}}\) |
1.23452E8 |
\({M}_{\mathit{LTLT}}\) |
5.73664E7 |
These coefficients are expressed in the global coordinate system (zero nautical angles of rotation of the coordinate system).
3.2. Characteristics of the mesh#
The mesh contains 12712 nodes, 8018 quadratic tetrahedra (TETRA10), and 500 quadratic triangles (TRIA6) to represent the reinforcing layers.
3.3. Tested sizes and results#
The vertical displacement at the end of the plate, as well as the deformation and the stress in the membrane at the end of the plate, are tested.
Identification |
Component |
Reference Type |
Reference Value |
Tolerance |
DEPL — POINT_1 |
DZ |
“AUTRE_ASTER” |
-87.1E-6 |
|
Identification |
Component |
Reference Type |
Tolerance |
DEPL — POINT_1 |
DZ |
“NON_REGRESSION” |
1.E-6 |
EPSI_NOEU — POINT_2 |
|
“NON_REGRESSION” |
1.E-6 |
SIEF_NOEU — POINT_2 |
|
“NON_REGRESSION” |
1.E-6 |