Mixtures

Temperatures and frequencies

Volumetric composition of mixtures

Test on bitumen 35/50 ou PG 70-16

Dynamic

modulus test

laboratory test results

Witczak’s 1999 model (MEPDG)

Witczak 2006 model (MEPDG)

T ˚C

f. Hz

ρ34- 19.00 - 14 mm

ρ38-

9.500 - 10 mm

ρ4- 4.7600 - 5 mm

ρ200- 0.075 - 0.08 mm

V_beff

Va

A

Viscosity

η (10⁶ Pa.s)

VTS

δb (˚)

IG*I Module Dynamic Modulus (DSR test) (psi)

IE*I (psi)

δ (˚)

IE*I (psi)

IE*I (psi)

BDF

−0.11484506

10.0472826

1

8

28

8

11.34

8.77

14.2392

2.08163462

−4.9303

3.64441901

916.182811

2,291,337.61

7.45477925

1,210,297.381

7,668,937.03

BDF

−0.17177768

3.01465895

1

8

28

8

11.34

8.77

14.2392

2.12809128

−4.9303

6.86064288

866.262618

2,063,567.16

8.33227858

911,503.2797

6,147,775.18

BDF

−0.16600072

1.00487491

1

8

28

8

11.34

8.77

14.2392

2.12332779

−4.9303

6.51793241

794.210857

1,859,340.45

9.20601144

686,683.8367

6,163,390.03

BDF

−0.13361162

0.30146788

1

8

28

8

11.34

8.77

14.2392

2.09682854

−4.9303

6.22597098

652.178106

1,631,950.11

10.4005233

492,989.5483

6,038,348.22

BDF

−0.15027567

0.10048827

1

8

28

8

11.34

8.77

14.2392

2.11041839

−4.9303

6.84430949

577.603468

1,454,126.46

11.0535909

361,762.2698

5,683,056.22

BDF

10.0207844

10.0532669

1

8

28

8

11.34

8.77

14.2392

0.06104662

−4.9303

5.0917143

814.556336

1,574,781.67

11.6630179

376,195.2083

6,758,109.04

BDF

9.94728906

3.01594813

1

8

28

8

11.34

8.77

14.2392

0.06246433

−4.9303

11.1561055

750.623093

1,346,510.71

13.0939069

266,943.4389

4,921,449.26

BDF

9.93841748

1.00452044

1

8

28

8

11.34

8.77

14.2392

0.06263782

−4.9303

14.3708818

678.714916

1,133,489.39

14.6918064

192,501.261

4,293,957.74

BDF

9.98368722

0.30144998

1

8

28

8

11.34

8.77

14.2392

0.06175788

−4.9303

19.4496154

575.887026

927,669.744

16.5705198

133,242.3532

3,552,076.94

BDF

9.9725091

0.10038991

1

8

28

8

11.34

8.77

14.2392

0.06197392

−4.9303

27.262347

495.559167

762,551.562

18.1700157

95,883.74145

2,842,367.47

BDF

19.9685955

10.0535104

1

8

28

8

11.34

8.77

14.2392

0.00368965

−4.9303

17.4031234

601.52195

913,646.296

18.4030165

131,339.9082

3,799,350.87

BDF

19.9655083

3.01204819

1

8

28

8

11.34

8.77

14.2392

0.00369255

−4.9303

25.7093848

486.139494

711,357.672

20.6203447

91,495.3866

2,918,216.43

BDF

19.9582191

1.00466551

1

8

28

8

11.34

8.77

14.2392

0.0036994

−4.9303

30.8371738

375.165254

553,920.83

22.6034087

66,193.19964

2,423,984.35

BDF

19.9278062

0.30141668

1

8

28

8

11.34

8.77

14.2392

0.00372814

−4.9303

36.4035093

263.912773

405,880.599

25.4169001

46,966.73523

1,943,056.15

BDF

19.9606592

0.10049039

1

8

28

8

11.34

8.77

14.2392

0.00369711

−4.9303

44.3154074

227.583289

294,956.589

27.9473783

34,574.52292

1,624,261.99

BDF

29.8351333

10.0598564

1

8

28

8

11.34

8.77

14.2392

0.00037844

−4.9303

35.0014984

350.953452

468,929.188

25.9965025

56,070.53311

2,198,746.19

BDF

29.8489495

3.01987169

1

8

28

8

11.34

8.77

14.2392

0.00037735

−4.9303

44.2050338

225.289547

330,752.087

28.8285446

39,890.09239

1,620,743.91

BDF

29.8387026

1.00524211

1

8

28

8

11.34

8.77

14.2392

0.00037816

−4.9303

50.2280149

126.986387

232,716.584

31.7376712

29,674.1178

1,191,791.37

BDF

29.8588742

0.30153569

1

8

28

8

11.34

8.77

14.2392

0.00037657

−4.9303

53.6978965

44.469069

151,795.713

34.2194037

21,803.47975

737,107.16

BDF

29.816896

0.10040112

1

8

28

8

11.34

8.77

14.2392

0.00037989

−4.9303

58.1311473

61.7935544

100,876.494

36.6690388

16,818.27282

799,711.56

BDF

39.5592949

10.0205943

1

8

28

8

11.34

8.77

14.2392

5.9361E−05

−4.9303

52.5313381

134.527441

202,490.281

34.5227993

29,389.83066

1,182,523.87

BDF

39.5699807

3.01664778

1

8

28

8

11.34

8.77

14.2392

5.9252E−05

−4.9303

60.7607668

53.6936408

129,050.987

36.9966681

21,642.65707

729,965.04

BDF

39.5983539

1.00401606

1

8

28

8

11.34

8.77

14.2392

5.8961E−05

−4.9303

67.3392148

23.8125803

82,779.9231

38.9739953

16,634.58617

478,380.98

BDF

39.5774447

0.30154867

1

8

28

8

11.34

8.77

14.2392

5.9175E−05

−4.9303

67.5823376

16.3906146

49,436.5059

41.0739191

12,774.83761

406,621.28

BDF

39.5739282

0.10048905

1

8

28

8

11.34

8.77

14.2392

5.9211E−05

−4.9303

68.8607733

67.1369536

31,676.902

41.7565005

10,229.97225

732,834.74

BDF

54.0749205

10.0539698

1

8

28

8

11.34

8.77

14.2392

6.5562E−06

−4.9303

68.2407958

14.5601578

46,675.4254

43.7014272

14,968.101

383,874.96

BDF

54.0638944

3.01204819

1

8

28

8

11.34

8.77

14.2392

6.5658E−06

−4.9303

70.464758

4.87522601

27,958.8655

43.3037334

11,583.59064

237,769.44

BDF

54.0698369

1.00654507

1

8

28

8

11.34

8.77

14.2392

6.5607E−06

−4.9303

78.2094929

9.56044226

17,558.5413

42.1049774

9354.020612

291,313.65

BDF

54.0932081

0.30143836

1

8

28

8

11.34

8.77

14.2392

6.5404E−06

−4.9303

75.5092721

19.6687803

11,009.1005

40.1422943

7552.722807

405,333.50

BDF

54.0770426

0.10049242

1

8

28

8

11.34

8.77

14.2392

6.5544E−06

−4.9303

79.3911228

74.4823983

7456.42731

37.9602201

6342.891285

690,724.08

BDC

0.14847441

10.0503147

3

17

50

4

11

8.91

14.2392

1.88028298

−4.9303

3.49393748

915.646643

2,045,179.08

7.71949902

923,709.1634

9,825,318.98

BDC

0.21004821

3.01568813

3

17

50

4

11

8.91

14.2392

1.83623549

−4.9303

6.75944172

867.017156

1,825,803.45

9.12726814

684,308.6439

7,787,845.95