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September 16, 2014 International Journal of Pavement Engineering ”Towards a microstructural model of bitumen aging behavior˙revised” To appear in the International Journal of Pavement Engineering Vol. 00, No. 00, 00 Month 20XX, 1–15 Towards a microstructural model of bitumen aging behavior Lukas Eberhardsteiner a* , Josef F¨ ussl b , Bernhard Hofko a , Florian Handle c , Markus Hospodka a , Ronald Blab a and Hinrich Grothe c a Institute of Transportation Science - Research Center for Road Engineering, Vienna University of Technology, Gusshausstraße 28/230/3, A-1040 Vienna; b Institute for Mechanics of Materials and Structures, Vienna University of Technology, Karlsplatz 13/202, A-1040 Vienna c Institute of Materials Chemistry, Vienna University of Technology, Gertreidemarkt 9/BC/02, A-1060 Vienna (Received 00 Month 20XX; accepted 00 Month 20XX) When it comes to describe the mechanical behavior of hot mix asphalt, the change of the mechanical properties over time due to environmental impacts known as aging has to be considered. Hardening and embrittlement of bitumen lead to a reduced resistance against cryogenic cracks and premature formation of fatigue cracks in bituminous layers. Within this work, the microstructure of bitumen is investigated by conducting static shear creep tests on artificially composed bitumen with asphaltene contents varying between 0 vol-% and 26.71 vol-% as well as on a paving grade bitumen 70/100. Both are considered in unaged and laboratory-aged (RTFOT+PAV) conditions to be able to identify and describe aging effects. While the properties of the considered material phases of bitumen (identical to SARA fractions) seem to remain unaffected, an increase of the asphaltene content due to aging can be observed. A micromechanical model is proposed that allows a prediction of the consequences of these microstructural changes on the mechanical behavior of bitumen. AFM and ESEM images confirming a composition consisting of a micelle-like structure in a contiguous matrix, a structural RVE concept based on SARA fractions is suggested extending an existing multiscale model for hot mix asphalt. A very good accordance between model predictions and experimental results indicates the model’s ability to reproduce as well as to describe the effects related to aging. Keywords: bitumen, aging, microstructure, SARA fractions, viscoelasticity, DSR 1. Introduction The mechanical properties of hot mix asphalt (HMA), which is used in flexible road pavements, change significantly over time due to impacts of the environment. With increasing age, hardening and embrittlement of the bitumen (binder agent) lead to a decrease of the elasticity and ductility of the pavement structure, resulting in reduced resistance against cryogenic cracks and premature formation of fatigue cracks. The mechanisms behind this phenomenon, called aging, are subject of ongoing debates in the scientific community. Basically, two aging levels can be distinguished: (i) Short-term aging, which occurs during the production and compaction of HMA, when bitumen is mixed with aggregate at temperatures of around 160 C. Within this process, thin layers of bitumen are formed leading to a large reactive surface, which is susceptible for aging-promoting thermal effects like the distillation of volatile fractions and chemical processes like oxidation or polymerization (Lesueur 2009; Read and Whiteoak 2003; Traxler 1961; Bell 1989). In addition, there is (ii) long-term aging, which * Corresponding author. Email: [email protected] 1

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Page 1: Towards a microstructural model of bitumen aging behavior · September 16, 2014 International Journal of Pavement Engineering "Towards a microstructural model of bitumen aging behavior_revised"

September 16, 2014 International Journal of Pavement Engineering ”Towards a microstructural model of bitumenaging behavior˙revised”

To appear in the International Journal of Pavement EngineeringVol. 00, No. 00, 00 Month 20XX, 1–15

Towards a microstructural model of bitumen aging behavior

Lukas Eberhardsteinera∗, Josef Fusslb, Bernhard Hofkoa, Florian Handlec, Markus Hospodkaa, Ronald

Blaba and Hinrich Grothec

aInstitute of Transportation Science - Research Center for Road Engineering, Vienna University of

Technology, Gusshausstraße 28/230/3, A-1040 Vienna;bInstitute for Mechanics of Materials and Structures, Vienna University of Technology, Karlsplatz

13/202, A-1040 ViennacInstitute of Materials Chemistry, Vienna University of Technology, Gertreidemarkt 9/BC/02,

A-1060 Vienna

(Received 00 Month 20XX; accepted 00 Month 20XX)

When it comes to describe the mechanical behavior of hot mix asphalt, the change of the mechanicalproperties over time due to environmental impacts known as aging has to be considered. Hardeningand embrittlement of bitumen lead to a reduced resistance against cryogenic cracks and prematureformation of fatigue cracks in bituminous layers. Within this work, the microstructure of bitumen isinvestigated by conducting static shear creep tests on artificially composed bitumen with asphaltenecontents varying between 0 vol-% and 26.71 vol-% as well as on a paving grade bitumen 70/100. Bothare considered in unaged and laboratory-aged (RTFOT+PAV) conditions to be able to identify anddescribe aging effects. While the properties of the considered material phases of bitumen (identical toSARA fractions) seem to remain unaffected, an increase of the asphaltene content due to aging can beobserved. A micromechanical model is proposed that allows a prediction of the consequences of thesemicrostructural changes on the mechanical behavior of bitumen. AFM and ESEM images confirminga composition consisting of a micelle-like structure in a contiguous matrix, a structural RVE conceptbased on SARA fractions is suggested extending an existing multiscale model for hot mix asphalt.A very good accordance between model predictions and experimental results indicates the model’sability to reproduce as well as to describe the effects related to aging.

Keywords: bitumen, aging, microstructure, SARA fractions, viscoelasticity, DSR

1. Introduction

The mechanical properties of hot mix asphalt (HMA), which is used in flexible road pavements,change significantly over time due to impacts of the environment. With increasing age, hardeningand embrittlement of the bitumen (binder agent) lead to a decrease of the elasticity and ductilityof the pavement structure, resulting in reduced resistance against cryogenic cracks and prematureformation of fatigue cracks. The mechanisms behind this phenomenon, called aging, are subjectof ongoing debates in the scientific community.

Basically, two aging levels can be distinguished: (i) Short-term aging, which occurs during theproduction and compaction of HMA, when bitumen is mixed with aggregate at temperaturesof around 160 ◦C. Within this process, thin layers of bitumen are formed leading to a largereactive surface, which is susceptible for aging-promoting thermal effects like the distillation ofvolatile fractions and chemical processes like oxidation or polymerization (Lesueur 2009; Readand Whiteoak 2003; Traxler 1961; Bell 1989). In addition, there is (ii) long-term aging, which

∗Corresponding author. Email: [email protected]

1

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September 16, 2014 International Journal of Pavement Engineering ”Towards a microstructural model of bitumenaging behavior˙revised”

occurs during service life of the pavement construction and takes much longer (decades). Besideslocal climate and air void content of the built-in material, especially the position of the bitumeninside the pavement plays an important role. As the exposure to reactive gases or water-solublereactants and UV radiation in top layers exceeds the exposure in base layers, aging effects nearthe surface prevail (Lesueur 2009).

In times of scarce crude oil resources, recycling and use of reclaimed asphalt pavements (RAP)in new pavement constructions on the one hand, and the development of more sustainable andrenewable alternatives to bitumen on the other hand, are becoming increasingly important. Inboth cases, the change of material characteristics of bituminous mixtures due to aging is a keyissue and, therefore, a close examination of the underlying effects is not only justified but nec-essary. For a complex composite material like bitumen, examining the material’s microstructureis a reliable way to a better understanding of the mechanical behavior and, moreover, a phe-nomenon like aging. Thereby, SARA fractionation separating bitumen into saturates, aromatics,resins and asphaltenes (Lesueur 2009; Corbett 1969) is the most common way to identify theconstituents of bitumen. Imaging methods like Atomic Force Microscopy (AFM) or Environ-mental Scanning Electron Microscopy (ESEM) enable to visualize the (micro)structures builtup by these constituents (Stangl et al. 2006; Jager 2004; Stangl et al. 2006; Masson et al. 2006;Nahar et al. 2013a,b, 2014; Schmets et al. 2010; Pauli et al. 2003; Forbes et al. 2001; Bearsleyet al. 2004; Lesueur 2009; Espinat et al. 1998; Bodan 1982; Yen 1992) and, hence, allow for thedevelopment of models predicting the mechanical behavior.

In recent years, Lackner et al. introduced a multiscale model to predict the viscoelastic mate-rial behavior of HMA (Lackner et al. 2004, 2005; Aigner et al. 2009; Pichler and Lackner 2009;Pichler et al. 2012). This model is able to describe the macroscopic behavior as a function ofmicrostructural characteristics down to the so-called mastic-scale, consisting of bitumen andfiller, where, however, bitumen is considered as homogenous phase. An extension of the existingmodel by taking the microstructure of bitumen into account was recently published in (Eber-hardsteiner et al. 2014). On the basis of continuum micromechanics, a representative volumeelement (RVE) of bitumen describing the complicated microstructure as simply as possible isintroduced to predict the viscoelastic behavior of bitumen.

Within this paper, identification experiments on aged and unaged artificially composed bitu-men with varying asphaltene content were conducted and evaluated, first. After a reaffirmationof model assumptions by AFM and ESEM results, the process of bitumen aging is explainedchemically by a micelle model and the thereby identified main effects are described by the mi-cromechanical model for bitumen according to (Eberhardsteiner et al. 2014). Then, model pre-dictions and test results for aged and unaged bitumen are compared to validate the developedmodel approach, before, finally, conclusions are drawn.

2. Experiments

In order to investigate possible changes in microstructure due to aging effects, aged and unagedartificial bitumens with varying asphaltene contents were produced from an unmodified bitu-men pen 70/100. While this bitumen has an asphaltene content of 7.79 vol-% naturally, whenit’s unaged, the asphaltene content increases to 13.36 vol-% after laboratory long-term aging(RTFOT+PAV-aging - see below).

Bitumen can be separated into two major fractions: (i) an n-heptane soluble phase, whichis generally called maltenes, appearing as a viscous liquid at room temperature, and (ii) ann-heptane insoluble phase, called asphaltenes, which exhibit solid or almost solid properties.The extraction was conducted based on the procedure proposed by ASTM Standard 4124 (forTesting and Materials 2010). Hereby, a dispersion of approximately 10 g of bitumen and 300ml of n-heptane was assembled and heated to 90 ◦C for around 90 minutes. After cooling andsedimentation over night, particles were filtered and further extraction for 72 hours using a

2

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September 16, 2014 International Journal of Pavement Engineering ”Towards a microstructural model of bitumenaging behavior˙revised”

Soxhlet extractor was conducted to obtain the asphaltene phase. After mixing the liquid phaseof the Soxhlet extraction with the filtrate of the n-heptane extraction, the solvent n-heptanewas evaporated to obtain the maltene phase, and asphaltenes and maltenes were dissolved intoluene and mixed again with different proportions. By evaporating the toluene, asphaltenescan be ”re-dispersed” in the maltene phase. This extraction and ”reassembly” is a quite timeexpensive task - it requires approximately one week per 10 g of bitumen. Nevertheless, in thatway, 30 g of artificially composed bitumen with varying asphaltene content from 0 vol-% to 17.36vol-% (in the following, only % is used) could be produced.

Aging effects are reproduced in laboratory using standardized methods, namely the RollingThin-Film Oven Test (RTFOT) to simulate short-term aging, and the Pressure Aging Vessel(PAV) method to describe long-term aging. Within the RTFOT method, bitumen is filled inconstantly rotating glasses to form a thin bitumen film, which is exposed to a constant airflowfor 75 minutes at 163 ◦C (Nicholls 2007; Huang et al. 1996). To perform PAV-aging, a staticbitumen film is kept at 100 ◦C and under a pressure of 21 bar for 20 hours. This test is onlyconducted in connection with RTFOT-aging (Nicholls 2007; Huang et al. 1996).

Static shear creep tests - so called Creep-Recovery (CR) tests - performed on the experimentalsetup of a dynamic shear rheometer (DSR) (see Figure 1) were conducted to obtain the materialbehavior of aged and unaged mixtures. While a constant torque M is applied statically for 1800seconds on a bitumen film (diameter d = 25 mm, height h = 1 mm), the deflection ϕ(t) ismeasured. From τ = 2M/πr3, with r = d/2, and γ(t) = r · ϕ(t)/π, the creep compliance

Jexp(t) =γ(t)

τ(1)

can be obtained. These tests were performed at a predefined temperature in the range of -5◦C to +15 ◦C.

Torque M

DSR base plate

DSR spindle

Bitumen sampleCover

constant height

(1mm)

Figure 1. Creep-Recovery test using DSR experimental equipment

The full experimental program is given in Table 1.Figure 2 shows the results of the Creep-Recovery tests for aged artificial bitumen samples

with varying asphaltene contents at +5 ◦C in comparison to the respective results from testson unaged samples. While increasing asphaltene content causes a decrease in creep complianceand hence stiffer material behavior, the creep rate dJ/dt decreases with increasing asphaltenecontent, until almost elastic behavior is reached at an asphaltene content of 17.36 %. Addingonly low amounts of asphaltenes (4.18 %) to the maltene phase leads to an abrupt increase instiffness (see Figure 2). This already indicates that by adding asphaltenes a structure in bitumenis introduced, which strongly affects the mechanical behavior.

A key finding is that aged and unaged samples with the same asphaltene content show nosignificant difference in their creep curves. This in turn means that the material behavior ofmaltenes and asphaltenes remain unaffected due to aging. So, the detected increase of asphaltene

3

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Table 1. Experimental program for CR tests on aged and unaged artificially mixed bitumen

Asphaltene content Test temperature

-5 ◦C +5 ◦C +15 ◦C

0 % •/◦ •/◦ •/◦4.18 % •/◦ •/◦ •/◦7.77 % ◦ •/◦ ◦12.32 % • •17.36 % ◦ •/◦ ◦26.71 % •

• . . . tests on unaged bitumen, ◦ . . . tests on aged bitumen

content (from 7.79 vol-% to 13.36 vol-%) - also mentioned amongst others in (Lesueur 2009; Readand Whiteoak 2003; Grover Allen et al. 2012) - appears to be the only, or at least most important,consequence of aging on the microstructure of bitumen.

0 200 400 600 800 1000 1200 1400 1600 1800−20

0

20

40

60

80

100

t [s]

J[1/MPa]

0% Asphaltene

0% Asphaltene − aged

4.18% Asphaltene

4.18% Asphaltene − aged

7.77% Asphaltene

7.77% Asphaltene − aged

17.36% Asphaltene

17.36% Asphaltene − aged

0% Asphaltene

4.18% Asphaltene

17.36% Asphaltene

0 200 400 600 800 1000 1200 1400 1600 180010

−6

10−4

10−2

100

102

t [s]

J[1/MPa]

0% Asphaltene

0% Asphaltene − aged

4.18% Asphaltene

4.18% Asphaltene − aged

7.77% Asphaltene

7.77% Asphaltene − aged

17.36% Asphaltene

17.36% Asphaltene − aged

0% Asphaltene

7.77% Asphaltene

17.36% Asphaltene

Figure 2. Results from CR tests on aged artificial bitumen at +5◦C compared to the respective results from unaged

bitumen. Creep compliance is shown on a linear scale (left) and on a logarithmic scale (right) for a better representation ofcreep curves with high asphaltene content.

3. Modeling bitumen behavior

3.1 Micromechanical modeling

Obviously, the microstructure of a composite like HMA or, moreover, bitumen plays a crucialrole when it comes to describe its material behavior. A modeling technique capable of consid-ering the composition of a material is multiscale modeling. Within the framework of continuummicromechanics (Hill 1963, 1965; Suquet 1997; Zaoui 1997, 2002; Scheiner and Hellmich 2009), amaterial is seen as a micro-heterogenous body filling a macro-homogenous representative volumeelement (RVE) at different scales of observation. The complex microstructure within such anRVE can be described by so-called material phases, quasi-homogenous subdomains with knownphysical characteristics like volume fractions or mechanical properties (Zaoui 1997, 2002; Suquet1997). The size of the inhomogeneities defined by the material phases has to be significantlysmaller than the characteristic length of the RVE, and the size of the RVE again has to besmaller than the characteristic dimension of the structure built up by the material. At eachlength scale, the homogenized mechanical behavior of the overall material can be described as

4

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correlation between homogenous deformations acting on the boundary of the RVE and resulting(average) stresses. Within these considerations, the elastic/viscoelastic behavior of the materialphases, as well as the volume fractions, their characteristic shapes and their interactions play animportant role.

If a single phase has a heterogenous microstructure itself, its mechanical behavior can beestimated through introducing RVEs within this phase. Thus, the dimensions of these RVEshave to be significantly smaller than the RVE built up by the phase itself, and imply againsmaller inhomogeneities with smaller characteristic lengths, and so on. This approach leads to amultistep homogenization scheme.

As mentioned before, such a homogenization scheme considering five scales of observations topredict the material behavior of hot mix asphalt was introduced by Lackner et.al (see Figure 3)(Lackner et al. 2004, 2005; Aigner et al. 2009; Pichler and Lackner 2009; Pichler et al. 2012).Within this model, bitumen is considered as a homogeneous material, for which the materialbehavior can be identified directly from rheological experiments, like Creep-Recovery tests.

mastic-scale

asphalt-scale

mortar-scale

bitumen-scale

bitumen

filler (d ≤ 125 µm)

stone (d > 2 mm)

mortar

air voids

sand (d ≤ 2 mm)

mastic

?

~1000 µm

~100 µm

Figure 3. Multiscale model for hot mix asphalt according to (Lackner et al. 2004, 2005; Aigner et al. 2009; Pichler and

Lackner 2009; Pichler et al. 2012), in which the microstructure of bitumen is not considered

In order to be able to describe phenomenons like aging, a detailed micromechanical descriptionof the bitumen scale is needed. For these reasons, an RVE of bitumen was derived by taking thefollowing aspects into account:

• The most important material phases and structural effects are described as good as possi-ble, but only as accurate that the available physical properties (volume fractions, materialbehavior,...) of the components of bitumen from identification experiments are sufficientfor characterization.• The characteristic dimension of the material phases building up the RVE of bitumen must

obey the laws of multiscale modeling, meaning that it has to be significantly smaller thanthe RVE itself (significantly smaller than about 100 µm - see Figure 3).• As indicated by the CR test results presented before, with respect to mechanical properties,

the main effect of aging seems to be an increase of the asphaltene content. It therefore seemsessential to consider this material phase explicitly within micromechanical modeling.

SARA (Saturates, Aromatics, Resins and Asphaltenes) fractionation is the most common pro-cedure to separate the constituents of bitumen chemically. At first, a low-viscous phase calledmaltenes can be isolated from highly viscous asphaltenes by n-heptane extraction. Cromato-graphic methods according to ASTM standards (for Testing and Materials 2010; Lesueur 2009;Corbett 1969) can be applied for a further separation of the maltene phase into saturates, aromat-ics and resins. As the volume fractions of the constituents can be determined from fractionation

5

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September 16, 2014 International Journal of Pavement Engineering ”Towards a microstructural model of bitumenaging behavior˙revised”

and the material behavior of the maltene phase can be identified from CR tests, these fractionsseem to be a reasonable choice as material phases within an RVE of bitumen.

Imaging methods like Environmental Scanning Electron Microscopy (ESEM) are capable ofgiving access to the complex microstructure of composite materials. While a sample is scannedby a focussed electron beam, the signal arising from the interactions between the surfaces ofthe constituents of the sample and the electrons can be intensified by a gas within the testingchamber and, thus, the microstructure is made visible. When bitumen is tested by ESEM, resultssuggest a string-like structure embedded in a matrix (Stangl et al. 2006) (see Figure 4), whilethe top film of the matrix is removed by the electron beam. Taking a closer look at the strings,spherical centers can be identified, which are connected by strings.

Atomic Force Microscopy (AFM) is another imaging method used to analyze bitumen. Withinthe experimental setup, a sharp tip (radius about 8 nm) attached to a cantilever is movedover a sample of the examined material leading to changes of the interaction between the tipand the surface of the sample. Consequently, deflections of the cantilever occur, which are de-tected by a laser scanning system.Within bitumen, a heterogeneous composition, consisting ofmicelle(”bee”)-like structures embedded into a matrix, can be identified (Jager 2004; Stanglet al. 2006; Masson et al. 2006; Nahar et al. 2013a,b, 2014; Schmets et al. 2010; Pauli et al. 2003;Forbes et al. 2001; Bearsley et al. 2004; Lesueur 2009; Espinat et al. 1998; Bodan 1982; Yen 1992)(see Figure 4). The less pronounced visible string-structure, compared to the ESEM pictures,is assumed to be a result of the matrix phase forming a veil on the surface. Nevertheless, sincethe cells and strings exhibit similar dimensions, these micelle-like structures seem to correlatewith the spherical structures from ESEM results. As AFM images indicate that the numberof bee-like inclusions increases with increasing asphaltene content, asphaltenes are supposed tobe responsible for these structures. Additionally, experimental results from CR tests show thatstiffness increases with increasing asphaltene content and decreasing saturate content for arti-ficially composed binders, which exhibit the same microstructural features as natural bitumen.Within this work, AFM and ESEM results are only used to confirm the microstructural conceptof bitumen, as well as to identify the characteristic dimension of asphaltene inclusions to ensurethat the structure chosen is an appropriate observation scale under the mastic scale.

Asphaltenes

Resins and Aromatics

Saturates

Interaction between Micelle mantles

~100 µm

~1-10 µm

Asphaltene Micelles

Interaction between Micelle mantles

Figure 4. ESEM image (Stangl et al. 2006) (upper), AFM topography scan (Jager 2004) (left), and microstructural concept

of bitumen based on SARA fractions (right)

With a length between 1 µm and 10 µm (see Figure 4), the characteristic dimension of these(asphaltene) inclusions is significantly smaller than filler particles (d ≤ 125 µm) at the masticscale and, therefore, is also smaller than the selected RVE size. Hence, an important precondition

6

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September 16, 2014 International Journal of Pavement Engineering ”Towards a microstructural model of bitumenaging behavior˙revised”

of continuum micromechanics is fulfilled and a strong indicator is given that an RVE of bitumenbased on SARA fractions can be a logic and reasonable extension of the multiscale model forHMA presented in Figure 3.

Based on this, a concept of the microstructure of bitumen is proposed in Figure 4 (right),consisting of a contiguous matrix of aromatics and resins with embedded saturate and asphalteneinclusions and a structural concept of a representative volume element (RVE) is implementedinto a homogenization scheme predicting the overall mechanical behavior of bitumen (see Figure5). An RVE of bitumen is built up by a contiguous matrix of aromatics and resins with sphericalsaturate and asphaltene (labelled by suffix ”aspha”) inclusions (see Figure 5). The network-likestructure built up by the micelle mantles is represented by an interaction phase (suffix ”ip”)appearing as needles, being oriented in all directions.

Asphaltenes

Resins and Aromatics

Saturates

Interaction between Micelle mantles

Figure 5. Derived structural RVE concept for micromechanical model

For this work, identification experiments are available for maltenes (saturates, aromatics andresins). While in a first step aromatics-resin matrix and saturate inclusions are assumed toexhibit the same viscoelastic behavior, the determination of the material properties of saturatesis a task of ongoing investigation. Furthermore, asphaltenes and their mantles are considered asdifferent phases with respect to volume content and morphology but assumed to show the sameviscoelastic response because of acting together in the micelle structure.

To be able to compare model predictions with experimental results, the overall bitumen be-havior has to be given in terms of the homogenized shear compliance Jbit(t), which could bedetermined following a five-step procedure:

(1) Due to the viscoelastic characteristics of bitumen and its constituents, the homogenizationis conducted in the Laplace Carson (LC) domain defined through frequency variable p withthe LC transformation according to (Donolato 2002) resulting in formally linear elasticbehavior.

(2) The properties of the material phases are represented through a defined material model,namely the power-law model, consisting of a linear spring element and a nonlinear dashpotin series. The material behavior can be described in LC domain reading

J∗i = J0,i + Ja,i(pτ)−kiΓ(1 + ki), (2)

where J0,i is the elastic shear compliance of phase i, and Ja,i and ki are viscous parameters.(3) Considering constitutive equations in the LC domain together with the viscoelastic corre-

spondence principle (Read 1950; Sips 1951; Beurthey and Zaoui 2000; Laws and McLaugh-lin 1978) and formally elastic matrix-inclusion problems of the Eshelby-Laws type (Laws1977; Eshelby 1957) results in a Mori-Tanaka-homogenization scheme (Mori and Tanaka1973; Wakashima and Tsukamoto 1991), typical for composite materials consisting ofa contiguous matrix with inclusions. Within this scheme, the physical material proper-ties (through the fourth-order relaxation tensor r∗i (p) related to Equation 2), the volumefractions fi and the morphologies (through the fourth-order Hill tensors P∗,arom

sph (p) and

P∗,aromcyl (p) for spherical and cylindrical inclusions, respectively) of all material phases i are

7

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taken into account to estimate the creep relaxation tensor of bitumen R∗bit(p) (Eberhard-

steiner et al. 2014), yielding

R∗bit(p) = {(1− faspha − fip − fsat) r∗arom(p)

+ fasphar∗aspha(p)

∗ :[I + P∗,arom

sph (p) :(r∗aspha(p)− r∗arom(p)

)]−1

+ fipr∗ip(p) :

2π∫ϕ=0

π∫ϑ=0

[I + P∗,arom

cyl (ϑ, ϕ, p) :(r∗ip(p)− r∗arom(p)

)]−1sinϑdϑdϕ

+ fsatr∗sat(p) :

[I + P∗,arom

sph (p) : (r∗sat(p)− r∗arom(p))]−1}

: {(1− faspha − fip − fsat) I+ faspha

[I + P∗,arom

sph (p) :(r∗aspha(p)− r∗arom(p)

)]−1

+ fip2π∫

ϕ=0

π∫ϑ=0

[I + P∗,arom

cyl (ϑ, ϕ, p) :(r∗ip(p)− r∗arom(p)

)]−1sinϑdϑdϕ

+ fsat

[I + P∗,arom

sph (p) : (r∗sat(p)− r∗arom(p))]−1}−1

.

(3)

(4) In order to describe the creep response of bitumen in a physically relevant format, theLC-transformed creep tensor has to be determined, using

J∗bit = [R∗

bit]−1, (4)

from which the component J∗4444(p) can be back-transformed into the time domain em-

ploying the Gaver-Stehfest algorithm as outlined in (Stehfest 1970).(5) The so obtained shear creep compliance Jbit(t) allowes a comparison with the measured

experimental result Jexp(t) according to Equation 1.

For the theoretical background and validation of the presented multiscale approach, pleaserefer to (Eberhardsteiner et al. 2014).

3.2 Aging effects

As described before, during the exposure of bitumen to environmental impacts its materialcharacteristics change due to aging effects. A significant increase of the asphaltene content ismainly responsible for structural changes, while the material behavior of the constituents do notalter considerably.

These effects can be explained from a chemical point of view, by considering the polaritydistribution between the different material phases (chromatographic methods as used for theseparation in SARA fractions are based on the fact that chemically different constituents differin polarity - see Figure 6). When adding asphaltenes to the contiguous matrix seen in Figure5, differences in polarity lead to an agglomeration of aromatics and resins to the asphaltenesresulting in the formation of a solvation layer (mantle), which helps to stabilize the asphalteneswithin the maltene matrix. These mantles interact with each other dependent on the volumefraction of asphaltenes and, thus, form a network-like micelle structure, which could serve asreasonable explanation for the abrupt stiffness gain seen in Figure 2.

As saturates can be considered almost inert and asphaltenes only exhibit low reactivity atambient conditions due to their solid state, the significant susceptibility of highly polar aromaticsand resins to oxidative species makes the micelle mantles likely to be responsible for decreasingelasticity and ductility of bitumen, especially due to long-term aging. The degree of the associated

8

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state of the constituents - and thus the polarity - decreases qualitatively with increasing distanceto an asphaltene micelle (see Figure 6) and, hence, oxidation takes place mainly at the surface ofthe micelle mantles. Consequently, a highly polar layer is formed persisting at the outside of themantle as a consequence of the low mobility of molecules at ambient conditions and, therefore,the ”effective” volume content of asphaltenes increases (see blue line in Figure 6) (Handle et al.2013). As the substances considered as material phases in the structural RVE concept in Figure5 do not transform within this process, their material properties do not change, which can beconfirmed by experimental observations seen in Section 2.

Figure 6. Model for the polarity distribution in material phases, for unaged (black line) and aged (blue line) bitumen

4. Comparison of model predictions and test results

With the micromechanical model proposed in Section 3.1, the viscoelastic behavior of bitumencan be predicted, considering the aging-induced change of the material response due to increasingasphaltene content. Thereby, the identification of the model input parameters is a crucial task.While the material properties of the maltene phase can be characterized by CR tests, the materialbehavior of asphaltenes, as well as the volume fraction of the interaction phase have to be back-calculated from CR test results from artificial composed bitumen.

As outlined in (Aigner et al. 2009), the power-law model, used to describe the mechanicalbehavior of bitumen and its constituents, is able to desrcibe the experimentally obtained vis-coelastic response very well, implying a physically relevant form of Equation 2 according to(Fussl et al. 2013), reading

Jmod(t) = J0 + Ja

(t

τ

)k. (5)

To identify the parameters J0,malt, Ja,malt and kmalt of the maltene phase, the error betweenexperimentally obtained creep compliances Jexp from CR identification tests and predicted creepcompliances Jmod is minimized through non-linear least square fitting. The obtained power-lawparameters for the maltene phase at -5 ◦C, +5 ◦C and +15 ◦C are given in Table 2 describingalmost perfect fits.

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Table 2. Power-law parameters for maltene phase at -5 ◦C, +5 ◦C and +15 ◦C

-5 ◦C +5 ◦C +15 ◦C

J0,malt [1/MPa] 0.0980 0.2652 2.433Ja,malt [1/MPa] 0.0076 0.0766 1.205kmalt [-] 0.8124 0.9386 1.027R2 0.99 0.99 0.99

As the material behavior of asphaltenes and the interaction phase can not be determinedfrom identification experiments, the power-law parameters are back-calculated from experimentalresults from samples of artificially composed bitumen with an asphaltene content of 4.18 % at atemperature of +5 ◦C using the coefficient of determination R2 as an indicator for the degree ofaccordance. Thereby, the parameters J0,aspha, Ja,aspha and kaspha - appropriate for asphaltenes aswell as for the interaction phase - lie within a range, where they influence the predicted materialresponse only insignificantly (Eberhardsteiner et al. 2014).

Since the needle-shaped interaction phase describes the structural influence of the asphaltenemicelle network, its volume fraction fip is directly related to the asphaltene content. Similar to thepower-law parameters, the volume fraction of the interaction phase fip is determined on a best-fitbasis also employing R2 to evaluate the degree of accordance. When correlating asphaltene andback-calculated needle content, an exponential relation can be found for (realistic) asphaltenecontents up to 17.36 % (see Figure 7), typically for molecular agglomeration processes in nature.

0 2 4 6 8 10 12 14 16 180

5

10

15

20

25

30

35

40

45

Asphaltene content [%]

Inte

raction p

hase c

onte

nt [%

]

y=0.4037*exp(0.2559*x)

Figure 7. Exponential relation between asphaltene and needle content (representing the interaction between micelle man-tles)

All input parameters available, model predictions are compared to experimental results fromaged artificially composed bitumen with asphaltene contents of 4.18 %, 7.77%, 12.32 % and17.36 % in Figure 8. Besides the known volume fraction of the asphaltenes, the content of theinteraction phase was the only parameter varied.

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0 200 400 600 800 1000 1200 1400 1600 1800−20

0

20

40

60

80

100

t [s]

J[1/MPa]

0% Asphaltene

0% Asphaltene − aged

4.18% Asphaltene

4.18% Asphaltene − aged

7.77% Asphaltene

7.77% Asphaltene − aged

17.36% Asphaltene

17.36% Asphaltene − aged

micromechanical model

0% Asphaltene

4.18% Asphaltene

17.36% Asphaltene

0 200 400 600 800 1000 1200 1400 1600 1800

10−6

10−4

10−2

100

102

t [s]

J[1/MPa]

0% Asphaltene

0% Asphaltene − aged

4.18% Asphaltene

4.18% Asphaltene − aged

7.77% Asphaltene

7.77% Asphaltene − aged

17.36% Asphaltene

17.36% Asphaltene − aged

micromechanical model

Figure 8. Comparison of experimental results and micomechanical model predictions for aged artificial bitumen with

asphaltene contents of 4.18 %, 7.77%, 12.32 % and 17.36 % at +5 ◦C. Creep compliance is shown on a linear scale (left)and on a logarithmic scale (right) for a better representation of creep curves with high asphaltene content.

Figure 8 shows a remarkable accordance between test results and viscoelastic response pre-dicted by the derived micromechanical model. Analogously, very good accordance can be foundfor temperatures of -5 ◦C and +15 ◦C using asphaltene properties estimated from the change oftemperature dependent behavior of the maltene phase.

To validate the proposed model not only on artificially composed but also on natural bitumens,CR tests were conducted on unaged, laboratory-short-term aged (using RTFOT equipment) andlaboratory-long-term aged (using RTFOT and PAV equipment) unmodified bitumen pen 70/100samples with known asphaltene content. The results can be seen in Figure 9.

0 200 400 600 800 1000 1200 1400 1600 18000

2

4

6

8

10

12

14

16

t[s]

J[1

/MP

a]

70/100 unaged

70/100 short−term aged

70/100 long−term aged

micromechanical model

model long−term aged(13.36% asphaltenes)

Hardening due to short−term aging

model(asphaltene contentrange from 4% to 9%)

Figure 9. Comparison of experimental results and micromechanical model predictions for unaged, RTFOT- andRTFOT+PAV-aged natural bitumen 70/100

The experimental results were related to model predictions taking the actual asphaltene con-tents into account. As can be seen in Figure 9, predictions of long-term aging (13.36 % asphaltenecontent) fit experimental results very well. As described in Section 2, bitumen has to be heatedfor the identification of the asphaltene content through n-heptane extraction. As the asphaltenecontent (n-heptane-soluble phase) is strongly affected by heating due to aging, its determinationis a challenging task. Especially for unaged and short-term aged samples, which are more sus-ceptible to aging effects than already long-term aged samples, the reliable specification of theamount of asphaltenes is difficult. However, model predictions considering a realistic asphaltenecontent for unaged and short-term aged samples between 4 % and 9 % cover experimental resultsvery well.

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5. Conclusion

In this paper, aging effects of bitumen and their microstructural nature were investigated byexamining bitumen chemically and rheologically. In addition, a micromechanical model is pre-sented providing a first approach to predict the viscoelastic behavior of bitumen on the basis ofits microstructure, as well as to describe the effects of aging on its mechanical behavior.

The obtained results can be summarized as follows:

• Artificially composed bitumens with varying asphaltene contents were examined in Creep-Recovery (CR) tests - a static shear creep experimental setup - in unaged condition as wellas after laboratory long-term aging (RTFOT+PAV aging). While an increase in asphaltenecontent resulted in an expected decrease of the measured creep compliance, the addition ofonly low amounts of asphaltenes (from 0 vol-% to 4.18 vol-%) caused a surprisingly abruptincrease in stiffness (the creep compliance decreases from approximately 90 1/MPa to 201/MPa), indicating an introduced structural effect which also acts hardening. A comparisonbetween results from aged and unaged samples show that the material properties of theconstituents remain unaffected and, hence, only the remarkable increase in asphaltenecontent observed (from 7.79 vol.-% to 13.36 vol.-%) appears to be responsible for theaging-induced increase of stiffness and decrease of creep rate dJ/dt and ductility of thebituminous layers.• Environmental Scanning Electron Microscopy (ESEM) and Atomic Force Microscopy

(AFM) images give insight into the microstructure of bitumen, confirming a composi-tion consisting of a micelle-like structure embedded in a contiguous matrix. From CR testresults, conducted on artificially composed bitumen, it can be assumed that asphaltenesare responsible for these micelle structures.• In order to take the microstructure of bitumen into account, a micromechanical model was

developed, which is able to predict the viscoelastic behavior of bitumen on the basis ofits composition. Based on SARA fractions, a homogenization scheme is proposed, wherethe representative volume element (RVE) of bitumen consists of a contiguous matrix ofaromatics and resins with spherical saturate and asphaltene inclusions. Asphaltenes anda mantle around them, built up by highly polar aromatics and resins, form network-likemicelle structures, which are represented by a needle-shaped interaction phase within thehomogenization scheme. As AFM and ESEM images confirm the characteristic lengths ofthe inclusions (assumed asphaltenes) to be significantly smaller than filler particles at themastic scale, this model can be used to extend an existing multiscale model for hot mixasphalt.• This micromechanical model was used to predict the viscoelastic behavior of bitumen,

showing very good accordance between predicted and experimental results for artificiallycomposed bitumen with a predefined asphaltene content. In addition, model predictions fitexperimental results from unaged, laboratory-short-term aged (using RTFOT equipment)and laboratory-long-term aged (using RTFOT and PAV equipment) unmodified bitumenpen 70/100 samples with known asphaltene content to a remarkable extent.

Due to the complex assembling of artificially composed bitumen, only the microstructureof one specific unmodified bitumen pen 70/100 was studied in the course of this work. Theinvestigation of other bitumens to improve the validation of the presented micromechanicalmodel is a topic of further research. Moreover, a possible rejuvenation of bitumen by addingmaltenes to reduce the asphaltene content appears as interesting task. In addition, a morecomprehensive identification of the mechanical properties of the material phases (e.g. saturates)is task of ongoing investigation.

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Acknowledgements

The authors gratefully acknowledge financial support from the Austrian Research PromotionAgency (FFG) and the sponsors Pittel+Brausewetter, Swietelsky and Nievelt through project”OEKOPHALT - Physical-chemical fundamentals on bitumen aging”. They further appreciatethe support of Daniel Großegger and Thomas Riedmayer with sample preparation and executionof Creep-Recovery tests.

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