1. Reference problem#

1.1. Geometry#

_images/Object_1.svg
hauteur:

\(h=\mathrm{1,00}[m]\)

width:

\(l=\mathrm{1,00}[m]\)

thickness:

\(e=\mathrm{1,00}[m]\)

1.2. Material properties#

\(E=31\mathrm{GPa}\)

\(\nu =0.2\)

Here, we also enter the sorption-desorption curve that relates the water content

_images/Object_4.svg

To hygrometry

_images/Object_5.svg

.

In this case it was assumed that the numerical values of

_images/Object_6.svg

And of

_images/Object_7.svg

are the same.

Parameters specific to the natural creep of BETON_UMLV:

_images/Object_8.svg

[\(\mathrm{MPa}\)]

spherical part: apparent stiffness associated with the skeleton formed by hydrate blocks at the mesoscopic scale

_images/Object_9.svg

[\(\mathrm{MPa}\)]

spherical part: apparent stiffness intrinsically associated with hydrates at the microscopic scale

_images/Object_10.svg

[\(\mathrm{MPa}\)]

deviatoric part: stiffness associated with the capacity of adsorbed water to transmit charges (load bearing water)

_images/Object_11.svg

[\(\mathrm{MPa.s}\)]

spherical part: apparent viscosity associated with the diffusion mechanism within the capillary porosity

_images/Object_12.svg

[\(\mathrm{MPa.s}\)]

spherical part: apparent viscosity associated with the mechanism of interlamellar diffusion

_images/Object_13.svg

[\(\mathrm{MPa.s}\)]

deviatory part: viscosity associated with water adsorbed by hydrate sheets

_images/Object_14.svg

[\(\mathrm{MPa.s}\)]

deviatoric part: viscosity of free water.

Parameters specific to the natural creep of BETON_BURGER:

_images/Object_205.svg

[\(\mathrm{MPa}\)]

spherical part: apparent stiffness associated with the reversible domain of delayed deformations

_images/Object_209.svg

[\(\mathrm{MPa}\)]

deviatoric part: associated stiffness associated with the reversible domain of delayed deformations

_images/Object_211.svg

[\(\mathrm{MPa.s}\)]

spherical part: apparent viscosity associated with the reversible range of delayed deformations

_images/Object_213.svg

[\(\mathrm{MPa.s}\)]

spherical part: apparent viscosity associated with the irreversible diffusion mechanism

_images/Object_215.svg

[\(\mathrm{MPa.s}\)]

deviatory part: viscosity associated with the reversible domain of delayed deformations

_images/Object_217.svg

[\(\mathrm{MPa.s}\)]

deviatoric part: apparent viscosity associated with the irreversible diffusion mechanism

\(\kappa =3.0\times {10}^{-3}\)

Irreversible deformation standard controlling the nonlinearity applied to the long-term deformation module

1.3. Boundary conditions and loads#

In this test, a homogeneous drying field that is invariant in the structure is created, the humidity being \(\text{100\%}\) (condition of a sealed test piece). Mechanical loading corresponds to unidirectional compression in the vertical direction (\(z\) in \(\mathrm{3D}\) or \(y\) in \(\mathrm{2D}\)); its intensity is \(1[\mathrm{MPa}]\). The load is applied in \(\mathrm{1s}\) and is kept constant for 100 days.

1.4. Initial conditions#

The start of the calculation is assumed to be instant \(–1\). At this moment there is no drying field or mechanical stress.

At instant 0, a drying field corresponding to \(\text{100 \%}\) of humidity is applied.