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#

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

modulus of elasticity

\(\nu =0.2\)

Poisson’s ratio

Parameters specific to model BETON_UMLV:

_images/Object_4.svg

[\(\mathrm{MPa}\)]

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

_images/Object_5.svg

[\(\mathrm{MPa}\)]

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

_images/Object_6.svg

[\(\mathrm{MPa}\)]

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

_images/Object_7.svg

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

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

_images/Object_8.svg

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

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

_images/Object_9.svg

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

deviatory part: viscosity associated with water adsorbed by hydrate sheets

_images/Object_10.svg

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

deviatoric part: viscosity of free water.

Parameters specific to model BETON_BURGER:

_images/Object_66.svg

[\(\mathrm{MPa}\)]

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

\(\kappa =10.0\)

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

_images/Object_70.svg

[\(\mathrm{MPa}\)]

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

_images/Object_72.svg

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

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

_images/Object_74.svg

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

spherical part: apparent viscosity associated with the irreversible diffusion mechanism

_images/Object_76.svg

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

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

_images/Object_78.svg

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

deviatoric part: apparent viscosity associated with the irreversible diffusion mechanism

1.3. Boundary conditions and loads#

In this test, a drying field that is homogeneous and constant is created in the structure.

The mechanical load corresponds to shear in plane \(\mathrm{xz}\); its intensity is \(\mathrm{10 }[\mathrm{MPa}]\). The load is applied in \(\mathrm{1s}\) and is maintained constant for 750 days.

1.4. Initial conditions#

The start of the calculation is assumed to be the 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.