2. Benchmark solution#

2.1. Calculation method used for the reference solution#

The reference temperature solution is given by the temperatures measured at each instant during the adiabatic test.

The reference solution for the degree of hydration is calculated analytically according to the temperatures measured by integrating the law of evolution of the degree of hydration \(\mathrm{hy}\):

\(\Delta \mathrm{hy}=A(h){e}^{\frac{-\mathrm{Ar}}{(T+273.15)}}\Delta t\), \(T\) being expressed in \(°C\)

2.2. Benchmark results#

The results relate to the first 60 hours of the test.

\(t\) (en \(h\) )) **

:math:`T`** (en**:math:`°C`**) **

:math:`mathrm{hy}`** (in%) **

0

20.9

0

1

21.4

0.8

2

21.9

1.6

3

22.1

1.9

4

22.3

2.2

5

22.5

2.58

10

35.3

23.2

15

57.8

59.4

20

68.3

76

30

75.8

88

45

77.9

92

60

79.1

94

2.3. Uncertainty about the solution#

Temperature measurement during the test. Integration of the \(\mathrm{hy}\) law of evolution over time steps varying between 1 hour and 5 hours.

2.4. Bibliographical references#

  • CESAR - LCPC 3.2. Example manual. Modeling concrete at an early age. January 1996

Gilles DEBRUYNE: Analysis of concrete behavior models in CESAR: transferability of the model TEXO - MEXO in the*Code_Aster. CR MMN 97-193. 24/12/97