1. Reference problem

1.1. Geometry

Hauteur:	\(h=\mathrm{1,00}[m]\)
Width:	\(l=\mathrm{1,00}[m]\)
Thickness:	\(e=\mathrm{1,00}[m]\)

1.2. Material properties

\([\mathrm{GPa}]\)	Modulus of elasticity
	Poisson’s ratio
\([\mathrm{\mu m}/m]\)	endogenous shrinkage coefficient
\([\mathrm{\mu m}/{\mathrm{m.m}}^{3}/l]\)	desiccation shrinkage coefficient
\([\mathrm{\mu m}/m/°C]\)	coefficient of thermal expansion

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

To hygrometry

.

In this case it was assumed that the two quantities were linked by the following linear relationship:

[l/m3] =

[%].

Parameters specific to desiccation creep:

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

Settings specific to BETON_UMLV:

\([\mathrm{MPa}]\)	spherical part: apparent stiffness associated with the skeleton formed by hydrate blocks at the mesoscopic scale
\([\mathrm{MPa}]\)	spherical part: apparent stiffness intrinsically associated with hydrates at the microscopic scale
\([\mathrm{MPa}]\)	deviatoric part: stiffness associated with the capacity of adsorbed water to transmit charges (load bearing water)
\([\mathrm{MPa.s}]\)	spherical part: apparent viscosity associated with the diffusion mechanism within the capillary porosity
\([\mathrm{MPa.s}]\)	spherical part: apparent viscosity associated with the mechanism of interlamellar diffusion
\([\mathrm{MPa.s}]\)	deviatory part: viscosity associated with water adsorbed by hydrate sheets
\([\mathrm{MPa.s}]\)	deviatoric part: viscosity of free water.

Settings specific to BETON_BURGER:

\([\mathrm{MPa}]\)	spherical part: apparent stiffness associated with the reversible domain of delayed deformations
\([\mathrm{MPa}]\)	deviatoric part: associated stiffness associated with the reversible domain of delayed deformations
\([\mathrm{MPa.s}]\)	spherical part: apparent viscosity associated with the reversible range of delayed deformations
\([\mathrm{MPa.s}]\)	spherical part: apparent viscosity associated with the irreversible diffusion mechanism
\([\mathrm{MPa.s}]\)	deviatory part: viscosity associated with the reversible domain of delayed deformations
\([\mathrm{MPa.s}]\)	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 is created in the structure varying linearly over a period of 750 days, the initial humidity is \(100\text{\%}\) (condition of a sealed test piece) and decreases progressively to \(50\text{\%}\) on the 750th day.

The degree of hydration varies linearly from 0 to 1 between the initial moment and the 28th day.

The reference temperature is \(20°C\). Thermal loading corresponds to a rise in temperature varying from \(20°C\) and \(40°C\) between the initial instant and the final instant.

Mechanical loading corresponds to unidirectional compression in the vertical direction (\(z\) in \(\mathrm{3D}\)); its intensity is \(12[\mathrm{MPa}]\). 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 at time \(–1\). At this moment there is no drying field or mechanical stress.

At instant 0, a drying field corresponding to \(100\text{\%}\) humidity is applied, a hydration field corresponding to zero progress and a thermal field at the reference temperature are applied.