1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

height: \(h\mathrm{=}\mathrm{10m}\)

width: \(l\mathrm{=}1m\)

thickness: :math:`e\mathrm{=}1m`

1.2. Material properties#

\(E\mathrm{=}39.5E+9\mathit{Pa}\)

\(\nu \mathrm{=}\mathrm{0,245}\)

\(\rho \mathrm{=}2370\mathit{kg}\mathrm{/}{m}^{3}\)

\(\alpha \mathrm{=}1.E\mathrm{-}5\)

For model ENDO_ISOT_BETON and under the BETON_ECRO_LINE keyword:

\({\sigma }_{y}={6.10}^{6}\mathrm{Pa}\); \({E}_{T}=-{6.10}^{5}\mathrm{Pa}\)

For model MAZARS:

\(k\mathrm{=}0.7\); \({\varepsilon }_{\mathit{d0}}\mathrm{=}1.5{10}^{\mathrm{-}4}\); \({A}_{c}\mathrm{=}1.15\); \({A}_{t}\mathrm{=}1.0\);; \({B}_{c}\mathrm{=}1391.3\); \({B}_{t}\mathrm{=}10000.\)

Some characteristics related to the Thermo-Hydraulic problem are summarized in the following table:

Liquid water
Density (

\({\mathrm{kg.m}}^{-3}\)

)

Calorific capacity (\(J{\mathrm{kg}}^{-1}{K}^{-1}\)) Coefficient of thermal expansion of liquid (\({K}^{-1}\))

1.103

4180 0.6619310-4

Vapeur

Calorific capacity

Molar mass (\(\mathrm{kg}{\mathrm{mole}}^{-1}\))

1870

28.96 10-3

Initial state

Porosity

Capillary Pressure (\(\mathrm{Pa}\)) Gas Pressure (\(\mathrm{Pa}\)) Initial Liquid Saturation

0.149

  1. 1.013 E5 0.74

Constants

Ideal gas constant

8,315

Homogenized coefficients

Homogenized density

Capillary curve Biot Coefficient

2265

_images/Object_8.svg

1

1.3. Boundary conditions and loads#

The mechanical boundary conditions are such that displacements perpendicular to each of the facets are prevented. Wetting consists in the application of capillary pressure on the upper face of the structure, which decreases over time.