1. Reference problem#

1.1. Geometry and boundary conditions#

_images/Object_1.svg

1.2. Material properties#

Two different sets of parameters are used for coupling with model ENDO_ISOT_BETON (modeling A, B and C) and for model MAZARS (modeling D to F). They are summarised in the following two tables.

Material data used for coupling BETON_UMLV_FP/ENDO_ISOT_BETON

Elastic parameters

E

\(31\mathit{GPa}\)

NUDE

\(0.2\)

Creep parameters

K_RS

\(1.2{10}^{5}\mathit{MPa}\)

ETA_RS

\(2.21{10}^{10}\mathit{MPa.s}\)

K_IS

\(6.22{10}^{4}\mathit{MPa}\)

ETA_IS

\(4.16{10}^{10}\mathit{MPa.s}\)

K_RD

\(3.86{10}^{4}\mathit{MPa}\)

ETA_RD

\(6.19{10}^{10}\mathit{MPa.s}\)

ETA_ID

\(1.64{10}^{12}\mathit{MPa.s}\)

Damage settings

SYT

\(3\mathit{MPa}\)

D_ SIGM_EPSI

\(\mathrm{-}6\mathit{GPa}\)

SYC

\(30\mathit{MPa}\)

Material data used for coupling BETON_UMLV_FP/MAZARS

Elastic parameters

E

\(31\mathit{GPa}\)

NUDE

\(0.2\)

Creep parameters

K_RS

\(6.0{10}^{4}\mathit{MPa}\)

ETA_RS

\(1.0{10}^{10}\mathit{MPa.s}\)

K_IS

\(3.0{10}^{4}\mathit{MPa}\)

ETA_IS

\(2.4{10}^{10}\mathit{MPa.s}\)

K_RD

\(3.4{10}^{4}\mathit{MPa}\)

ETA_RD

\(4.08{10}^{11}\mathit{MPa.s}\)

ETA_ID

\(5.44{10}^{12}\mathit{MPa.s}\)

Damage settings

EPSD0

\(5.6{10}^{\mathrm{-}5}\)

AT

\(0.831\)

BT

\(21330.\)

AC

\(1.15\)

BC

\(1390.\)

k

\(0.7\)

CHI

\(0.6\)

Non-local parameter

LONG_CARA

\(0\) (\(100\) for the \(I\) test)

It is assumed that drying does not change over time, so the sorption function is chosen arbitrarily.

1.3. Boundary conditions and loads#

In this test, drying and temperature are assumed to be uniform and invariant. The humidity is 100% and the temperature is \(20°C\).

Mechanical loading corresponds to a unidirectional traction on the upper face of the test piece (\(\mathit{P5P6P7P8}\)) imposed in 1 second and then maintained constant until reaching (almost) the ruin of the material by tertiary creep. The loading intensity is equal to 0.6 times the instantaneous peak load in the case of coupling with ENDO_ISOT_BETON and 0.8 times the instantaneous peak load for the coupling with MAZARS.