1sk1bc-Comparative Evaluation of the Stiffness Properties of Warm-Mix Asphalt Technologies and E Predictive Models

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  • 8/13/2019 1sk1bc-Comparative Evaluation of the Stiffness Properties of Warm-Mix Asphalt Technologies and E Predictive Mo

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    Habtamu Zelelew, Matthew Corrigan, Satish Belagutti, and Jeevan RamakrishnaReddy

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    Duplication of this paper for publication or sale is strictly prohibited without prior1written permission of the Transportation Research Board2

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    4

    Comparative Evaluation of the Stiffness Properties of5

    Warm-Mix Asphalt Technologies and |E*| Predictive Models67

    8

    Habtamu Zelelew, PhD (Corresponding Author)9ESC Inc, FHWA10

    Office of Pavement Technology111200 New Jersey Ave., SE12Washington, DC 20590,13Phone: (202) 366-660614

    e-mail: [email protected]

    Matthew Corrigan, P.E.17Federal Highway Administration18Office of Pavement Technology19

    1200 New Jersey Ave., SE20Washington, DC 2059021Phone: (202) 366-154922

    e-mail: [email protected]

    Satish Belagutti25ESC Inc, FHWA TFHRC26

    6300 Georgetown Pike, McLean, VA 2210127Phone: (202) 493-310328

    e-mail: [email protected]

    Jeevan RamakrishnaReddy31ESC Inc, FHWA TFHRC32

    6300 Georgetown Pike, McLean, VA33Phone: (202) 256-592834

    e-mail:[email protected]

    No. of Words = 3235 + 8*500 = 7235 < 750038

    39

    Transportation Research Board Committee40AFK30: Characteristics of Nonasphalt Components of Asphalt Paving Mixtures41

    42For Presentation at the 91

    stAnnual Meeting43

    44

    October 31 20114546

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    ABSTRACT1

    Warm-mix Asphalt (WMA) has gained popularity due to rising energy costs and potential2

    reductions in carbon dioxide and carbon dioxide equivalent emissions. In this paper, a3

    comprehensive laboratory evaluation of WMA technologies stiffness properties and comparison4

    of three |E*| predicting models (Witczak 1-37A, Witczak 1-40D, and Hirsch) are presented. A5

    total of nine WMA technologies were included; six foaming processes (Accu-Shear, Advera

    ,6

    Aspha-min, Aquablack

    , Low Emission Asphalt (LEA), and Gencor), two chemical additives7

    (Evothermand Rediset

    ), and an organic additive (Sasobit

    ). The rheological properties of the8

    asphalt binders were characterized using the dynamic shear rheometer device at four test9

    temperatures (4.4, 21.1, 37.8, and 54.4C) and multiple frequencies (0.016 to 25 Hz). The asphalt10

    mixture performance tester was used to capture the stiffness properties of the asphalt mixtures11

    using four temperatures (4.4, 21.1, 37.8, and 54.4C) and six frequencies (25, 10, 5, 1, 0.5, and12

    0.1 Hz). The stiffness properties of the WMA technologies as well as their control13

    binders/mixtures were evaluated through the use of master curves (both shear modulus and14

    dynamic modulus). Compared to the control binder and mixture specimens, lower stiffness15

    values were observed for the WMA technologies. Overall, reasonable |E*| predictions of the16

    plant produced WMA technologies were obtained when the Hirsch model was utilized followed17

    by the Witczak 1-40D model and the Witczak 1-37A model.18

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    KEYWORDS: Warm-mix asphalt, shear modulus, dynamic modulus, and |E*| predictions20

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    INTRODUCTION1

    In recent years, Warm-mix Asphalt (WMA) has gained popularity due to rising energy2

    costs, potential reductions in carbon dioxide and carbon dioxide equivalent emissions, and the3

    need for sustainable materials. WMA is the name given to a variety of technologies that allow4

    producing asphalt mixtures to lower temperatures at which the material is mixed, compacted, and5

    placed on the roadways. Some WMA technologies have potential benefits in reducing the binder6

    viscosity as well as reducing the short term aging of the mixture during production ( 1, 2).7

    Another benefit of WMA is that the improved workability which allows incorporation of higher8

    percentages of Reclaimed Asphalt Pavement (RAP) or Reclaimed Asphalt Shingles (RAS) in the9

    asphalt mixture (2). There is a widespread concern in pavement community however that the10

    reductions in binder viscosity and production temperatures may lead WMA mixtures to exhibit11

    lower stiffness properties and consequently prone to rutting as compared to the conventional hot-12

    mix asphalt (HMA) mixtures.13

    The first trial WMA field projects were constructed in 2004 in Florida and North14

    Carolina. To date, over forty-five states and ten Canadian provinces have constructed WMA15

    demonstration projects in their jurisdictions (2). Since then, several of WMA technologies have16

    emerged in the US market. There is a need to fully understand the properties of WMA17

    technologies including their interaction with the asphalt binder and consequently their potential18

    affect on pavement performance. In 2005, the Federal Highway Administration (FHWA) in19collaboration with the National Asphalt Pavement Association (NAPA) formed the WMA20

    technical working group in order to address these challenges and implement WMA technologies21

    successfully.22

    The FHWA Office of Pavement Technology introduced the Asphalt Mixture23

    Performance Tester (AMPT) equipment for conducting performance-based evaluation of asphalt24

    concrete mixtures. The stiffness and deformation properties of asphalt mixes can be evaluated25

    using this device respectively through the dynamic modulus and flow number tests. The dynamic26

    modulus of an asphalt mixture, identified by |E*|, is a response developed under sinusoidal27

    loading conditions tested at multiple frequencies and multiple temperatures. Among others,28

    accuracy and repeatability of |E*| measurements can be significantly influenced by the material29

    properties and test conditions (e.g., temperature, confinement, rate of loading, tuning/calibration,30

    and specimen conditioning). When specimens are tested under higher test temperatures and/or31

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    lower loading frequencies, the strain measuring gauge point locations can loosen and1

    consequently high variations in the measured |E*| are observed.2

    |E*| is also a crucial input to the AASHTOWare DARWin-ME (formerly the3

    Mechanistic-Empirical Pavement Design Guide (ME PDG)) which requires laboratory measured4

    (Level 1) or predicted (Level 2 and 3) dynamic modulus for estimating pavement performance5

    (3). Over the past several years, various HMA |E*| predictive models have been developed (4-9).6

    The three most popular models include: the NCHRP 1-37A project (referred in this paper as the7

    Witczak 1-37A model) (4); the NCHRP 1-40D project (referred in this paper as the Witczak 1-8

    40D model) (5); and the Hirsch model (6). Several studies utilized these models to predict HMA9

    |E*| over a range of temperatures, rate of loading, and aging conditions (10-13).10

    This paper presents a comprehensive laboratory evaluation of WMA technologies11

    stiffness properties. It underscores identifying the effects of WMA technologies on12

    binder/mixture stiffness properties. A comparative assessment of the WMA |E*| predicting13

    models (Witczak 1-37A, Witczak 1-40D, and Hirsch) is also presented. The study included nine14

    WMA demonstration projects in eight states visited by the FHWA Mobile Asphalt Trailer15

    Laboratory (MATL) program over the past five years.16

    17

    OBJECTIVES18

    The primary objectives of this study were to:19 Identify the effects of WMA technologies on binder stiffness properties.20 Identify the effects of WMA technologies on mixture stiffness properties.21 Compare the Witczak 1-37A model, the Witczak 1-40D model, and the Hirsch model in22

    predicting plant produced WMA |E*|.23

    In order to achieve these objectives, laboratory tests were conducted using the Dynamic Shear24

    Rheometer (DSR) and AMPT devices respectively to capture the rheological properties of25

    asphalt binders and characterize the stiffness properties of the asphalt mixtures.26

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    MATERIALS1

    The WMA technologies included six foaming processes (Accu-Shear, Advera

    , Aspha-2

    min, Aquablack

    , Low Emission Asphalt (LEA), and Gencor), two chemical additives3

    (Evotherm and Rediset

    ), and an organic additive (Sasobit

    ). The base binder grade ranged4

    from PG 58-34 to PG 76-22. Ten mix designs meeting the respective state DOT specification5

    were included, eight Superpave mixes containing 9.5 mm, 12.5 mm, 19 mm, and 25 mm and two6

    19 mm Hveem mixes. The project locations covered a wide range of traffic levels as the design7

    gyrations (Ndesign) ranged from 55 to 125. All binder tests were conducted at the AMRL-8

    accredited Asphalt Binder Testing Laboratory (ABTL) operated by the FHWA Office of9

    Pavement Technology. The mixture volumetrics and AMPT performance tests were performed10

    by the Mobile Asphalt Mixture Testing Laboratory (MAMTL).11

    12

    BINDER TESTING13

    The AASHTO T164 Standard Method of Test for Quantitative Extraction of Asphalt14

    Binder from Hot Mix Asphalt (HMA) test protocol was used for extraction of asphalt binders15

    from the plant produced asphalt mixture specimens. In addition, the ASTM D5404 Standard16

    Practice for Recovery of Asphalt from Solution Using the Rotary Evaporatortest protocol was17

    utilized to recover the asphalt binder specimens. This test method recommends using18

    Trichloroethylene solvent for extraction and recovery process. However, the FHWA binder19

    laboratory has been using an 85% toluene and 15% of ethanol mixture for extraction and20

    recovery process. The rheological properties of the extracted and recovered asphalt binders were21

    then measured following the AASHTO T315 Standard Method of Test for Determining the22

    Rheological Properties of Asphalt Binder Using a Dynamic Shear Rheometer (DSR) test23

    protocol. The DSR testing consisted of 25 mm parallel plate geometry and 1 mm gap setting. The24

    asphalt binder sources included lab blended and plant supplied specimens. The Silverson high25

    shear mixer was used to blend the base binder and the WMA technology in the laboratory. The26

    specified dosage rates of the WMA technology was added gradually into the base binder.27

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    Test Results1

    Shear Modulus Master Curve2

    The frequency sweep tests were conducted to evaluate the stiffness properties of the3

    control binders and binders containing WMA technologies. The binder specimens were tested4using test temperatures of 4.4, 21.1, 37.8, and 54.4 C over a wide range of loading frequencies5

    0.1 to 157.1 rad/s (i.e., 0.016 to 25 Hz). As described later, the asphalt mixture dynamic modulus6

    tests were also conducted using the same set of test temperatures. Each of the frequency sweep7

    test data was then shifted to a reference temperature of 21.1 C and fitted with generalized8

    logistic function developed by Pellinen, Witczak, and Bonaquist (14).9

    Figures 1 and 2 present the comparison of shear modulus |G*| master curves for the10

    control binder and WMA technologies included in the study. Asphalt binders with higher |G*|11

    mostly improve shear deformation resistance. It is shown in these figures that the asphalt binders12

    containing the organic additive Sasobitmeasured high stiffness. The Accu-Shear

    and Rediset

    13

    technologies measured slightly higher stiffness as compared to their control binders primarily at14

    the low reduced frequency ranges (i.e., below 10 Hz). The other WMA technologies (Advera,15

    Aspha-min, and Evotherm

    ) measured comparably similar stiffness values as their control16

    binders when the lower reduced frequency range is considered. For the PA0986 project, the LEA17

    and Gencor technologies demonstrated higher stiffness as compared to the control binder when18

    the high reduced frequency ranges are considered. The differences in the stiffness properties19

    amongst these WMA technologies could be explained from the differences in base binder,20

    dosage rates, the WMA technology used, and the inherent variability in the DSR test procedures.21

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    (a) (b)1

    2

    (c) (d)3

    4

    FIGURE 1 Shear modulus master curve; (a) MO0672, (b) CO0777, (c) WY0778, and (d) TX0985.5

    1.E+00

    1.E+02

    1.E+04

    1.E+06

    1.E+08

    1.E+10

    1 .E-0 6 1 .E -0 4 1 .E -0 2 1 .E+0 0 1.E+02 1 .E+0 4 1 .E+0 6 1.E+08

    ShearModulus,

    |G*|(Pa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    PG 70-22

    Sasobit

    Aspha-min

    1.E+00

    1.E+02

    1.E+04

    1.E+06

    1.E+08

    1.E+10

    1 .E-0 6 1 .E -0 4 1 .E -0 2 1 .E+0 0 1.E+02 1 .E+0 4 1 .E+0 6 1.E+08

    ShearModulus,

    |G*|(Pa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    PG 58-28

    Advera

    Sasobit

    Evotherm

    1.E+00

    1.E+02

    1.E+04

    1.E+06

    1.E+08

    1.E+10

    1 .E-0 6 1 .E -0 4 1 .E -0 2 1 .E+0 0 1.E+02 1 .E+0 4 1 .E+0 6 1.E+08

    ShearM

    odulus,

    |G*|(Pa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    PG 58-34

    Advera

    Sasobit

    1.E+00

    1.E+02

    1.E+04

    1.E+06

    1.E+08

    1.E+10

    1 .E-0 6 1 .E -0 4 1 .E -0 2 1 .E+0 0 1.E+02 1 .E+0 4 1 .E+0 6 1.E+08

    ShearM

    odulus,

    |G*|(Pa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    PG 70-22

    Rediset

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    (a) (b)1

    2

    (c)3

    4

    FIGURE 2 Shear modulus master curve; (a) PA0986, (b) LA1088, and (c) IN1099.5

    1.E+00

    1.E+02

    1.E+04

    1.E+06

    1.E+08

    1.E+10

    1 .E-0 6 1 .E -0 4 1 .E -0 2 1 .E+0 0 1.E+02 1 .E+0 4 1 .E+0 6 1.E+08

    ShearModulus,

    |G*|(Pa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    PG 64-22

    Advera

    Sasobit

    LEA

    Gencor

    1.E+00

    1.E+02

    1.E+04

    1.E+06

    1.E+08

    1.E+10

    1 .E-0 6 1 .E -0 4 1 .E -0 2 1 .E+0 0 1.E+02 1 .E+0 4 1 .E+0 6 1.E+08

    ShearModulus,

    |G*|(Pa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    PG 64-22

    Accu-Shear

    1.E+00

    1.E+02

    1.E+04

    1.E+06

    1.E+08

    1.E+10

    1 .E-0 6 1 .E -0 4 1 .E -0 2 1 .E+0 0 1.E+02 1 .E+0 4 1 .E+0 6 1.E+08

    ShearM

    odulus,

    |G*|(Pa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    PG 64-22

    Accu-Shear

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    ASPHALT CONCRETE MIXTURE TESTING1

    Specimen Preparation2

    Plant produced asphalt mixtures for dynamic modulus specimens were sampled from3

    haul trucks. Asphalt specimens were immediately fabricated without reheating or additional4oven conditioning to eliminate additional mixture aging. The asphalt mixtures were then5

    compacted to 8.5% air voids in the gyratory compactor in order to achieve the 7.0+0.5%6

    targeted air voids for the cored and trimmed test specimen. The performance test specimens7

    were cored from the center 100 mm of a 150 mm diameter specimen and the sample ends8

    were trimmed from a height of 180+ mm down to 150 mm. The MATL mix design9

    replication (MDR) samples were oven conditioned for 4 hours at 135C.10

    11

    Dynamic Modulus Test12

    Four test replicates per sample were used for performance testing. Since the dynamic13

    modulus test is non-destructive at low temperatures, the same set of four replicates were14

    tested at the three lower temperatures (4.4, 21.1, and 37.8C), while another set of four15

    replicates were tested at the high temperature (54.4C). Six loading frequencies were used16

    25, 10, 5, 1, 0.5, and 0.1 Hz. The dynamic modulus tests were performed from the lowest17

    temperature to the highest temperature and from the highest frequency to the lowest18

    frequency. The axial stress needed in the unconfined test to produce a target microstrain of19

    10015 was used. The dynamic modulus |E*| was calculated by dividing the maximum peak-20

    to-peak stress by the recoverable peak-to-peak strain.21

    22

    Test Results23

    Dynamic Modulus Master Curve24

    The dynamic modulus test data was used to construct master curves for each of the25

    test specimen at a reference temperature of 21.1C. The data was then shifted along the26

    frequency axis to form a single |E*| master curve using the sigmoidal function given in ME27

    PDG (3).28

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    Figures 3 through 5 present comparison of |E*| master curves of the control HMA and1

    WMA mixtures for all the projects included in the study. Overall, the |E*| master curve plots2

    exhibited similar shape/trend for a wide range of frequencies. The stiffness properties of all3

    of the asphalt mixtures presented in these figures decreased with an increase in test4

    temperature and increased with an increase in loading frequency. Asphalt mixtures with5

    higher |E*| mostly improve stability and rutting resistance. In general, compared to the6

    control HMA mixtures, lower stiffness values were observed for the WMA technologies7

    prepared with foaming processes followed by the chemical additives. The reduction in8

    stiffness is more pronounced for the asphalt mixtures with Advera

    and Aspha-min9

    technologies and therefore these mixes may be more susceptible to rutting. This is a concern10

    during the early life of the pavement if high temperatures are encountered and heavy traffic11

    loading is placed on the pavement before it can age and stiffen in place on the roadway. The12

    WMA mixtures containing organic additive Sasobitexhibited higher stiffness, particularly13

    at lower and intermediate frequency ranges. In these figures, the MATL mix design14

    replicates (MDR) mixtures measured relatively higher stiffness (except for MO0987 project)15

    as compared to the plant produced HMA mixtures due to additional oven conditioning (416

    hours at 135C). The differences in the stiffness properties of these WMA mixtures could be17

    explained through, among others, the differences in volumetric properties, binder rheological18

    properties, WMA dosage rates, aggregate shape properties (e.g., angularity and texture),19

    production temperatures, and plant aging.20

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    (a)1

    (b)2

    (c)3

    FIGURE 3 Dynamic modulus master curve; (a) MO0672, (b) CO0777, and (c) WY0778.4

    1.E+01

    1.E+02

    1.E+03

    1.E+04

    1.E+05

    1.E-06 1.E-04 1.E-02 1.E+00 1.E+02 1.E+04 1.E+06 1.E+08

    DynamicModulus,|

    E*|(MPa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    HMA

    WMA (Sasobit)

    WMA (Aspha-min)

    1.E+01

    1.E+02

    1.E+03

    1.E+04

    1.E+05

    1.E-06 1.E-04 1.E-02 1.E+00 1.E+02 1.E+04 1.E+06 1.E+08

    DynamicModulus,|

    E*|(MPa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    HMA

    WMA (Advera)

    WMA (Sasobit)

    WMA (Evotherm)

    1.E+01

    1.E+02

    1.E+03

    1.E+04

    1.E+05

    1.E-06 1.E-04 1.E-02 1.E+00 1.E+02 1.E+04 1.E+06 1.E+08

    DynamicModulus,|

    E*|(MPa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    HMA

    WMA (Advera)

    WMA (Sasobit)

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    (a)1

    (b)2

    (c)3

    4

    FIGURE 4 Dynamic modulus master curve; (a) MN0884, (b) TX0985, and (c) PA0986.5

    1.E+01

    1.E+02

    1.E+03

    1.E+04

    1.E+05

    1.E-06 1.E-04 1.E-02 1.E+00 1.E+02 1.E+04 1.E+06 1.E+08

    DynamicModulus,|

    E*|(MPa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    HMA Wear

    HMA Nonwear

    WMA (Evotherm) Wear

    WMA (Evotherm) Nonwear

    1.E+01

    1.E+02

    1.E+03

    1.E+04

    1.E+05

    1.E-06 1.E-04 1.E-02 1.E+00 1.E+02 1.E+04 1.E+06 1.E+08

    DynamicModulus,|

    E*|(MPa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    HMA

    WMA (Rediset 2)

    WMA (Rediset 10)

    WMA (Rediset 12)

    1.E+01

    1.E+02

    1.E+03

    1.E+04

    1.E+05

    1.E-06 1.E-04 1.E-02 1.E+00 1.E+02 1.E+04 1.E+06 1.E+08

    DynamicModulus,|

    E*|(MPa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    HMA

    HMA (MDR)

    WMA (Advera)

    WMA (Sasobit)

    WMA (LEA)

    WMA (Gencor)

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    (a)1

    (b)2

    (c)3

    4

    FIGURE 5 Dynamic modulus master curve; (a) MO0987, (b) LA1088, and (c) IN1090.5

    1.E+01

    1.E+02

    1.E+03

    1.E+04

    1.E+05

    1.E-06 1.E-04 1.E-02 1.E+00 1.E+02 1.E+04 1.E+06 1.E+08

    DynamicModulus,|

    E*|(MPa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    HMA

    HMA (MDR)

    WMA (Aquablack 6)

    WMA (Aquablack 7)

    WMA (Aquablack 8)

    WMA (Aquablack 10)

    1.E+01

    1.E+02

    1.E+03

    1.E+04

    1.E+05

    1.E-06 1.E-04 1.E-02 1.E+00 1.E+02 1.E+04 1.E+06 1.E+08

    DynamicModulus,|

    E*|(MPa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    HMA 12.5mm

    HMA (MDR) 12.5mm

    WMA (Accu-Shear) 12.5mm

    HMA 19mm

    HMA (MDR) 19mm

    WMA (Accu-Shear) 19mm

    1.E+01

    1.E+02

    1.E+03

    1.E+04

    1.E+05

    1.E-06 1.E-04 1.E-02 1.E+00 1.E+02 1.E+04 1.E+06 1.E+08

    DynamicModulus,|

    E*|(MPa)

    Reduced Frequency (Hz) (TRef= 21.1 C)

    HMA

    WMA (Accu-Shear 1)

    WMA (Accu-Shear 2)

    WMA (Accu-Shear 3)

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    |E*| PREDICTIONS1

    This paper also included predictions of |E*| through the use of the Witczak 1-37A,2

    Witczak 1-40D, and Hirsch models. Detailed explanation of the model equations can found3

    elsewhere (4, 5, and 6). The inputs to the Witczak 1-37A model include mixture volumetrics,4

    aggregate gradation, binder viscosity, and loading frequency. The mixture volumetrics include5

    air voids and effective binder content. The gradation parameters include percent passing on the6

    0.075 mm (No. 200) sieve, cumulative percent retained on the 19 mm (3/4 in.) sieve, cumulative7

    percent retained on the 9.5 mm (3/8 in.) sieve, and cumulative percent retained on the 4.76 mm8

    (No. 4) sieve. The inputs to the Witczak 1-40D model are similar to the inputs to the Witczak 1-9

    37A model. The Witczak 1-40D model was intended to improve the Witczak 1-37A model and10

    therefore, the binder viscosity and loading frequency parameters are replaced by the binder shear11

    modulus |G*| and the binder phase angle. In this study, the binder frequencies at which |G*|12

    measured were multiplied by a factor of 0.159 to calculate the mixture frequencies used in the13

    Witczak 1-40D model. For the Hirsch model, the binder |G*|, voids in mineral aggregates, and14

    voids filled with asphalt are incorporated. For this model, the loading frequency of the binder is15

    the same as that for the mixture. These models were originally developed using HMA mixture16

    material properties. The |E*| predictive capability of these models using plant produced WMA17

    mixture data is presented below.18

    1920

    COMPARISON OF MEASURED AND PREDICTED |E*|21

    Figure 6 presents the comparison of laboratory measured and predicted |E*| using the22

    three models in arithmetic and logarithmic scales. A total of 570 data points were used involving23

    only WMA mixtures tested at four temperatures and six loading frequencies. In order to meet24

    one of the stated objectives, the control HMA mixtures (both plant produced and MATL mix25

    design replication) were not included in the |E*| prediction analysis. In these figures, over-26

    prediction of |E*| was observed when the Witczak 1-37A and 1-40D models were utilized. The27

    over-prediction is pronounced with higher modulus values that correspond to the asphalt28

    mixtures tested at high loading frequencies and low test temperatures. In the logarithmic scale,29

    the Hirsch model predicted |E*| with the highest coefficient of determination (R2=0.9005) and30

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    the lowest error (Se/Sy=0.3154) followed by the Witczak 1-40D model (R2=0.8453 and1

    Se/Sy=0.3934) and the Witczak 1-37A model (R2=0.8074 and Se/Sy=0.4388). Better predictions2

    were obtained using the Witczak 1-37A model following the Hirsch model when the arithmetic3

    scale is considered. These findings are consistent with the model developers with high4

    correlation coefficient and low error in logarithmic scale for the Witczak 1-40D and Hirsch5

    models (5, 6). Comparisons of the predictive models amongst various WMA technologies (i.e.,6

    foam, chemical, and organic) are also shown in Figure 7.7

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    1

    (a)2

    3

    (b)4

    5

    (c)6

    FIGURE 6 Comparison of measured and predicted |E*| in arithmetic and logarithmic7

    scales; (a) Witczak 1-37A, (b) Witczak 1-40D, and (c) Hirsch.8

    0

    5000

    10000

    15000

    20000

    25000

    30000

    35000

    0 5000 10000 15000 20000 25000 30000 35000

    Predicted|E*|(MPa)

    Measured |E*| (MPa)

    R2 = 0.8106Se/Sy = 0.4352

    10

    100

    1000

    10000

    100000

    10 100 1000 10000 100000

    Predicted|E*|(MPa)

    Measured |E*| (MPa)

    R2 = 0.8074Se/Sy = 0.4388

    0

    5000

    10000

    15000

    20000

    25000

    30000

    35000

    0 5000 10000 15000 20000 25000 30000 35000

    Predicted|E*|(MPa)

    Measured |E*| (MPa)

    R2 = 0.5984Se/Sy = 0.6338

    10

    100

    1000

    10000

    100000

    10 100 1000 10000 100000

    Predicted|E*|(MPa)

    Measured |E*| (MPa)

    R2 = 0.8453Se/Sy = 0.3934

    0

    5000

    10000

    15000

    20000

    25000

    30000

    35000

    0 5000 10000 15000 20000 25000 30000 35000

    Predicted|E*|(MPa)

    Measured |E*| (MPa)

    R2 = 0.8854Se/Sy = 0.3386

    10

    100

    1000

    10000

    100000

    10 100 1000 10000 100000

    Predicted|E*|(MPa)

    Measured |E*| (MPa)

    R2 = 0.9005Se/Sy = 0.3154

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    (a)1

    (b)2

    (c)3

    FIGURE 7 |E*| Comparison of measured and predicted |E*| for various WMA4

    technologies; (a) Witczak 1-37A, (b) Witczak 1-40D, and (c) Hirsch.5

    10

    100

    1000

    10000

    100000

    10 100 1000 10000 100000

    Predicted|E*

    |(MPa)

    Measured |E*| (MPa)

    Foam

    Chemical

    Organic

    Line of Equality

    10

    100

    1000

    10000

    100000

    10 100 1000 10000 100000

    Predicted|E*|(MPa)

    Measured |E*| (MPa)

    Foam

    Chemical

    Organic

    Line of Equality

    10

    100

    1000

    10000

    100000

    10 100 1000 10000 100000

    Predicted|E*|(MPa)

    Measured |E*| (MPa)

    Foam

    Chemical

    Organic

    Line of Equality

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    Accuracy of the |E*| Predictive Models1

    The accuracy of the predictive models was determined by calculating the |E*| percent2

    error (e) which equals the difference between predicted and measured |E*| divided by the3

    predicted |E*|. For each test temperature and loading frequency, the |E*| percent error was4

    computed and presented into seven groups: (a) e< 0%, (b) 0%

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    (a) (b)1

    2

    (c) (d)3

    FIGURE 8 Summary of predicted |E*| percent error (e); (a) 4.4C, (b) 21.1C, (c) 37.8C, and (d) 54.4C.4

    0

    20

    40

    60

    80

    e < 0% 0 < e 10% 10 < e 20% 20 < e 30% 30 < e 40% 40 < e 50% e > 50%

    Percent(%)

    Predicted |E*| Percent Error Range

    Witczak 1-37A

    Witczak 1-40D

    Hirsch

    0

    20

    40

    60

    80

    e < 0% 0 < e 10% 10 < e 20% 20 < e 30% 30 < e 40% 40 < e 50% e > 50%

    Percent(%)

    Predicted |E*| Percent Error Range

    Witczak 1-37A

    Witczak 1-40D

    Hirsch

    0

    20

    40

    60

    80

    e < 0% 0 < e 10% 10 < e 20% 20 < e 30% 30 < e 40% 40 < e 50% e > 50%

    Percent(%)

    Predicted |E*| Percent Error Range

    Witczak 1-37A

    Witczak 1-40D

    Hirsch

    0

    20

    40

    60

    80

    e < 0% 0 < e 10% 10 < e 20% 20 < e 30% 30 < e 40% 40 < e 50% e > 50%

    Percent(%)

    Predicted |E*| Percent Error Range

    Witczak 1-37A

    Witczak 1-40D

    Hirsch

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    SUMMARY AND CONCLUSION1

    This paper presents a comprehensive laboratory evaluation of WMA technologies2

    stiffness properties and comparisons of three |E*| predictive models (Witczak 1-37A,3

    Witczak 1-40D, and Hirsch). It included nine WMA demonstration projects; six foaming4

    processes (Accu-Shear, Advera

    , Aspha-min

    , Aquablack

    , Low Emission Asphalt (LEA),5

    and Gencor); two chemical additives (Evotherm and Rediset

    ); and an organic additive6

    (Sasobit). The rheological properties of the asphalt binders were characterized using the7

    dynamic shear rheometer device at four test temperatures (4.4, 21.1, 37.8, and 54.4C) and8

    multiple frequencies (0.016 to 25 Hz). The asphalt mixture performance tester was used to9

    capture the stiffness properties of the asphalt mixtures using four temperatures (4.4, 21.1,10

    37.8, and 54.4C) and six frequencies (25, 10, 5, 1, 0.5, and 0.1 Hz). The following11

    conclusions can be drawn on the basis of the findings presented in this study:12

    The Accu-Shearand Redisettechnologies measured slightly higher binder stiffness13as compared to their control binders primarily at low reduced frequency ranges. The14

    LEA and Gencor technologies demonstrated higher binder stiffness as compared to the15

    control binder at high reduced frequency ranges. The Advera

    , Aspha-min, and16

    Evothermtechnologies measured comparably similar binder stiffness values as their17

    control binder at lower reduced frequency ranges.18

    Compared to the control HMA mixtures, lower stiffness values were observed for the19WMA technologies prepared with foaming processes followed by the chemical20

    additives. The reduction in stiffness is more pronounced for the asphalt mixtures21

    containing Advera and Aspha-min

    technologies. The WMA mixtures containing22

    organic additive measured higher stiffness.23

    The differences in the stiffness properties of the WMA technologies are attributed to,24among others, the differences in binder rheological properties, volumetric properties,25

    WMA dosage rates, aggregate structure in the mix, production temperatures, and plant26

    aging.27

    Overall, reasonable |E*| predictions of the plant produced WMA technologies were28obtained when the Hirsch model was utilized followed by the Witczak 1-40D model29

    and the Witczak 1-37A model.30

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    RECOMMENDATIONS1

    A comprehensive statistical analysis is needed to further investigate the effects of various2properties (e.g., volumetrics, binder, aggregate, WMA dosage rates, and aging) on3

    binder/mixture stiffness performance.4

    Refining the existing |E*| predictive models using WMA material data.5 Additional investigation into the AASHTOWare DARWin-ME predicted pavement6

    distresses versus actual field WMA pavement distresses is required to determine if WMA7

    pavement performance is similar to HMA.8

    The dataset used in this paper can assist researchers and practitioners to calibrate and9validate the AASHTOWare DARWin-ME for designing new and rehabilitated WMA10

    pavements.11

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    ACKNOWLEDGMENTS1

    The success of this study is made possible through the close partnership of the transportation2

    community. The FHWA Office of Pavement Technology wishes to express sincere thanks to3

    the state Departments of Transportation (Colorado, Indiana, Louisiana, Minnesota, Missouri,4

    Pennsylvania, Texas, and Wyoming) and the contractors involved in the projects. The5

    authors would also like to acknowledge and extend special thanks to MATL programs6

    mixture and binder laboratory technicians.7

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    2. Prowell, B., Hurley, G., and Frank, B. Warm-mix Asphalt: Best Practices. The National6Asphalt Pavement Association (NAPA), 2

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