1. Reference problem

1.1. Geometry

The concrete console is modelled either in standard solid elements or by modeling COQUE (DKT). The reinforcement layers are respectively modeled by models of GRILLE (GRILLE_MEMBRANE when there is no eccentricity or GRILLE_EXCENTRE when the reinforcements are eccentric).

1.2. Material properties

Concrete console: \(E=3.0E+10\mathit{Pa}\), \(\nu =0\), \(\rho =2500\mathit{kg}/{m}^{3}\)

Thickness of the console: \(0.2m\); ANGL_REP = (0; 0)

Steel frame sheets: \(E=2.0E+11\mathit{Pa}\), \(\nu =0\), \(\rho =7800\mathit{kg}/{m}^{3}\)

High reinforcement sheet: cross section per linear meter = \(0.2{m}^{2}/\mathrm{ml}\); eccentricity = \(0.05m\); ANGL_REP = (0; 0)

Low reinforcement sheet: cross section per linear meter = \(0.2{m}^{2}/\mathrm{ml}\); eccentricity = \(-0.05m\); ANGL_REP = (0; 0)

1.3. Boundary conditions and loads

Boundary conditions and loads break down as follows:

A and B modelling:

Recessed edge \(\mathrm{NO1NO4}\) (\(\mathrm{B0X}\))

\(\mathrm{DZ}=1.0\) on edge \(\mathrm{NO2NO3}\) (\(\mathrm{B1X}\)) (flexing)

C, D, and G modeling:

Recessed \(\mathrm{B0X}\) and \(\mathrm{B1X}\) edge

Gravity

E, F, and H modeling;

\(\mathrm{B0X}\) recessed edge

Pre-deformations \(\mathrm{EXX}\) imposed on the two reinforcement layers, equal to \(0.001\).

The models and loads considered are summarized in the following table:

Modelizations	Flexion	Gravity	Pre-deformation
GRILLE_EXCENTRE	A and B	C	E and F
GRILLE_MEMBRANE		D
MEMBRANE		G	H

Modeling I tests MEMBRANE and GRILLE_MEMBRANE simultaneously.