5. C modeling#

5.1. Characteristics of modeling#

The model is identical to that of modeling A: same geometry, same boundary conditions. The load stresses the material in tension and then in compression (load No. 1 in modeling A).

The concrete is modelled with the Mazars damage model in 1D version [R7.01.08]. All material parameters are temperature dependent.

The DEFI_MATER_GC command makes it possible to determine the parameters necessary for the law of behavior. The only data required for the order is the constraint: \({F}_{\mathit{cj}}\).

Temperature

20°C

50°C

80°C

110°C

\({F}_{\mathit{cj}}\)

40 MPa

35 MPa

35 MPa

30 MPa

Notes:

The values of the characteristics of the concrete material are not physical s. C*e test case is a non-regression test case.*

The changes, as a function of the temperature, of the various parameters are constructed from the command DEFI_FONCTION.

5.2. Tested sizes and results#

The quantities tested are stress, damage, as well as the maximum temperature reached.

The table below shows the constraint for several moments.

Instant

Size

Reference Type

Reference Value [Pa]

0.60

SIXX

ANALYTIQUE

\(2.8828728355E+06\)

1.00

SIXX

ANALYTIQUE

\(2.3133846636E+06\)

2.00

SIXX

ANALYTIQUE

\(7.7769639331E+05\)

3.00

SIXX

ANALYTIQUE

\(2.7014353939E+05\)

4.00

SIXX

ANALYTIQUE

\(-2.3619458743E+07\)

5.00

SIXX

ANALYTIQUE

\(-1.0456618119E+07\)

6.00

SIXX

ANALYTIQUE

\(-1.5277297601E+07\)

The table below shows the tensile and then compression damage for several moments.

Instant

Size

Reference Type

Reference Value

0.60

Dt

ANALYTIQUE

\(7.3182177638E-02\)

1.00

Dt

ANALYTIQUE

\(5.4897304523E-01\)

2.00

Dt

ANALYTIQUE

\(5.6772655029E-01\)

3.00

Dt

ANALYTIQUE

\(9.9249219357E-01\)

4.00

Dc

ANALYTIQUE

\(8.3253750892E-01\)

5.00

Dc

ANALYTIQUE

\(8.4703386002E-01\)

6.00

Dc

ANALYTIQUE

\(9.1060554314E-01\)

The table below shows the maximum temperature reached for several moments.

Instant

Size

Reference Type

Reference Value [°C]

0.60

TEMPE

ANALYTIQUE

\(30.8\)

1.00

TEMPE

ANALYTIQUE

\(38.0\)

2.00

TEMPE

ANALYTIQUE

\(56.0\)

3.00

TEMPE

ANALYTIQUE

\(74.0\)

4.00

TEMPE

ANALYTIQUE

\(92.0\)

5.00

TEMPE

ANALYTIQUE

\(110.0\)

6.00

TEMPE

ANALYTIQUE

\(110.0\)