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Table 5 Concrete with the same \({\mathrm{FGM}}_{\mathrm{g}}\) value of the base granular mixture.

From: Effect of the Cement-to-Water Ratio and Fractal Granular Model on the Prediction of Concretes Compressive Strength

Authors

Number of concretes

Fractal granular model

Fractal dimension and correlation

\(\mathrm{D}/{\mathrm{d}}_{\mathrm{g}}\)

\(\mathrm{TN}\)

N\(/{\mathrm{FD}}_{\mathrm{g}}\)

\({\mathrm{FMG}}_{\mathrm{g}}\)

\({\mathrm{FMG}}_{\mathrm{C}}\)

\({\mathrm{FD}}_{\mathrm{g}}\)

R2

\({\mathrm{FD}}_{\mathrm{C}}\)

R2

(mm)

Benouis and Grini (2011)

7

2

6.93

14.96

2.67

0.90

2.72

0.98

31.5/0.08

1

7.29

14.90

2.81

0.90

2.71

0.98

1

7.71

15.07

2.97

0.90

2.74

0.98

1

6.93

15.12

2.67

0.90

2.75

0.98

1

6.90

15.18

2.66

0.98

2.76

0.98

1

6.98

15.34

2.69

0.90

2.79

0.98

Boukli et al. (2009)

34

17

6.90

14.52

2.66

0.98

2.64

0.99

31.5/0.063

14.68

2.67

0.99

14.79

2.69

0.99

Boukli et al. (2009)

17

6.93

14.52

2.67

0.98

2.64

0.99

14.68

2.67

0.99

14.79

2.69

0.99

Boutiba et al. (2014)

2

2

6.33

12.64

2.64

0.99

2.69

0.99

20/0.08

Derabla and Benmalek (2014)

8

8

6.71

12.75

2.80

0.97

2.55

0.99

20/0.08

Guemmadi et al. (2009)

26

9

6.49

14.21

2.60

0.99

2.68

0.99

25/0.08

7

6.49

14.37

2.60

0.99

2.71

0.99

3

6.49

14.26

2.60

0.99

2.66

0.99

1

6.49

14.10

2.60

0.99

2.66

0.99

1

6.49

14.05

2.60

0.99

2.65

0.99

1

6.36

14.21

2.55

0.99

2.68

0.99

1

6.56

13.99

2.63

0.99

2.64

0.99

1

6.51

14.10

2.61

0.99

2.66

0.99

1

6.31

14.31

2.53

0.99

2.70

0.99

1

6.44

14.42

2.58

0.99

2.72

0.99

Mehamdia and Benouis (2018

06

06

6.76

14.74

2.71

0.91

2.73

0.98

25/0.05

Mennaai (2008)

01

01

5.97

12.69

2.49

0.97

2.70

0.97

20/0.08

Saadani (2000)

15

1

6.23

12.55

2.49

0.98

2.67

0.99

25/0.063

1

6.33

12.85

2.53

0.99

2.68

0.99

1

6.63

12.90

2.55

0.98

2.69

0.99

2

6.70

12.95

2.58

0.96

2.70

0.99

1

6.73

13.00

2.59

0.98

2.71

0.99

1

6.76

13.04

2.60

0.98

2.72

0.99

2

6.78

13.09

2.61

0.97

2.73

0.99

1

6.83

12.85

2.63

0.95

2.68

0.99

4

6.86

12.90

2.64

0.95

2.69

0.99

1

6.91

12.95

2.66

0.95

2.70

0.99

  1. \(TN\) total number of concretes by author, N \(/{FD}_{g}\) number of concretes by author of same \({\mathrm{FD}}_{\mathrm{g}}\)