3. Modeling A#
3.1. Characteristics of modeling#
A model called « grid model with decohesion » is used to represent the reinforcement sheet (cf. reference [1]). The mechanical behavior of the sheet is represented by a membrane model, whose coefficients are calculated analytically:
\({M}_{\mathit{LLLL}}\mathrm{=}{M}_{\mathit{TTTT}}\mathrm{=}{E}_{A}\frac{\pi {d}^{2}}{4e}\)
The other stiffness coefficients of the membrane are all zero. This membrane model is therefore equivalent to two orthogonal orientation grid models.
Moreover, this membrane is connected to the surrounding volume by an interface law of type CZM_LAB_MIX, which allows the membrane to slide in the \((\mathit{Oy})\) direction. The parameters of this interface law are the same as those indicated in paragraph 1.2, except for the critical constraint which is written in the form:
\({\sigma }_{C}\mathrm{=}\frac{2\pi d}{e}\mathrm{\times }10\text{MPa}\)
3.2. Characteristics of the mesh#
The mesh includes 4505 nodes, 2543 quadratic tetrahedra (TETRA10) to model concrete, 162 degenerate quadratic pentahedra (PENTA15) to represent the steel-concrete interface, and 162 quadratic triangles (TRIA6) to represent the reinforcement sheet.
3.3. Tested sizes and results#
The horizontal displacement of the reinforcement sheet at the end of the plate at two different times is compared with the three-dimensional reference modeling. These tests are duplicated with non-regression tests.
Identification |
Component |
Instant |
Instant |
Reference Value |
Tolerance |
|
DEPL — BOUT |
DY |
5 |
5 |
“AUTRE_ASTER” |
-140.36714E-6 |
|
5 |
“NON_REGRESSION” |
“” |
-137.99653E-6 |
1.E-6 |
||
10 |
“AUTRE_ASTER” |
-318.45792E-6 |
|
|||
10 |
“NON_REGRESSION” |
“” |
-314.93105E-6 |
1.E-6 |