1 Introduction

Warm mix asphalt (WMA) can be defined as an asphaltic mixture produced at 10–40 °C lower than traditional HMA [1]. This mixture has several economic and environmental benefits such as reduced fuel consumption and less greenhouse gas emissions during the asphalt production phase [2, 3]. Based on these advantages and the increased awareness of economic and environmental issues, the WMA industry has gained global acceptance with increased demand between 2009 and 2014 [4]. On the other hand, RAP is now considered as a valuable material and a satisfactory replacement for virgin aggregate and binder due to the economic and environmental benefits associated with the recycling process [5]. RAP recycling has become a familiar practice since the 1970s due to inflation of crude oil prices which increased asphalt pavement material costs [6]. RAP recycling at WMA production temperatures would, therefore, be a promising approach to further enhance the sustainability of the asphalt industry. Giani et al. [7] stated that asphalt recycling with WMA technology is the best approach to achieving a sustainable and environmentally friendly asphalt industry. For this reason, many highway agencies nowadays are investigating the applicability and feasibility of these kinds of asphaltic mixture.

Until 2006, RAP incorporation in the US had been limited to around 15% because no binder grade change was required at this level and no further binder testing was required. Nevertheless, the sharp increase in bitumen prices in that year significantly increased the demand to produce asphalt mixtures with higher RAP contents [5]. More recently, RAP recycling in asphaltic mixtures has usually been limited to 30% [8], with 20% average RAP recycling in the United States in 2014 [4]. This may be related to several factors such as RAP agglomeration, poor blending of RAP and virgin binder, variability in RAP binder characteristics, and even government legislation [9]. Technical factors have the potential to significantly affect the homogeneity and performance of mixtures containing RAP (AC-RAP).

In this regard, several researchers have investigated the interaction and blending between RAP and virgin asphalt materials, and different methods have been proposed to simulate and understand these phenomena. Shirodkar et al. [10] defined the DoB as the percentage of RAP binder that will be active in the mix. They suggested an iterative procedure to calculate the DoB based on the superpave critical high-temperature parameter G*/sinδ for binders recovered from predefined sizes of RAP and virgin aggregate particles. Their method was to assume an initial percentage of RAP binder that will be active in the mix, then design and manufacture samples based on this assumption, after that to sieve and isolate RAP from aggregate particles, and extract and recover binder from both portions to run DSR testing. The DoB was then determined using the following equation:

$${\text{Degree}}\; {\text{of}}\; {\text{partial}}\; {\text{blending}}\,\left( \% \right) = 100 \times \left| {1 - \frac{{|{\text{CHTP}}_{\text{vab}} - {\text{CHTP}}_{\text{rab}} |}}{{|{\text{CHTP}}_{\text{vb}} - {\text{CHTP}}_{\text{rb}} |}}} \right|$$
(1)

where CHTP is the critical high-temperature parameter (G*/sinδ) for the designated binder, vab is the binder recovered from the virgin aggregate, rab is the binder recovered from RAP aggregate, vb is the virgin binder, and rb is the RAP binder. If the calculated DoB is close to the assumed percentage of RAP binder participation then the correct DoB has been obtained; if not, then a new value for RAP binder participation has to be assumed, and DoB has to be calculated again until these two values converge. They reported 70 and 96% DoB for 25 and 35% RAP incorporation respectively. However, the DoB can be affected by the production conditions for the same RAP incorporation level and properties, because increasing mixing temperatures reduces RAP binder viscosity which leads to higher RAP binder activation. Coffey et al. [11] defined the DoB as the mobilisation percentage of RAP binder in an asphalt mix. They estimated the DoB based on air voids content by assuming the initial DoB is 70% based on literature, if this assumption was true then the air voids at 75 gyrations has to be 4%, if not then the binder content has to be adjusted based on a revised DoB percentage. They reported a DoB of 84.7–90% for three different RAP sources with 25% RAP incorporation. However, this level of RAP incorporation was relatively low.

Bowers et al. [12] studied blending and diffusion between the RAP binder and virgin bitumen using staged extraction to isolate the recovered binder into different layers. Gel Permeation Chromatography and Fourier Transform Infrared Spectroscopy tests were used to study the properties of the binder recovered from different layers, and it was concluded that blending occurs in all binder layers but that it may not be uniform. Bressi et al. [13] applied the same concept of isolating RAP particles from virgin aggregate particles to analyse the recovered binder from both aggregate portions, and to quantify RAP clustering. They found that at high RAP contents, clustering is reduced due to the lower amount of virgin aggregate which plays an essential role in activating and removing the aged binder from RAP particles by mechanical abrasion. However, this could also mean that less RAP binder will be activated and ultimately that a limited RAP content can be incorporated. Another study conducted by Hassan et al. [14] to understand the effect of mixing time on the homogeneity of AC-RAP mixtures by means of computed tomography and optical microscopy concluded that doubling the mixing time improved the distribution of the air voids within the specimens produced, which shows the importance of this factor.

1.1 Aim of the study

Most of the above mentioned studies depend on the idea of separating RAP particles from virgin aggregate particles to recover and study the binder properties from both portions. However, analysing the characteristics of the blended binders and predicting the resultant binder grade without binder extraction and recovery is still a challenge. Furthermore, assuming that DoB less than 100% simply means that part of the RAP binder is inactive, it is unclear which aggregate gradation should be assumed, the gradation after fully extracting the binder or the gradation when the RAP aggregate is coated with an unknown thickness of inactive RAP binder, nor how to determine this gradation. It is also unclear wether the inactive binder will have any effect on the mixture’s long-term performance. Because the hard binder will be in contact with a lower viscosity binder for a long time, some diffusion between the two binders might occur, and that could change the properties of the mix.

These points are quite critical because the volumetric properties will be incorrectly designed and eventually performance will be affected. Accordingly, the authors believe that a good approach to addressing this problem is to keep the common assumption that RAP binder is completely mobilised (full blending) and to design the mix based on RAP aggregate gradation. Then the production conditions and the mix design have to be revised (i.e., increasing mixing temperature, using additives, reducing RAP content, increasing mixing time, etc.) to achieve this assumption. In this case, the mix gradation will match the designed aggregate gradation, and the RAP binder will be thoroughly blended with the soft binder. Moreover, the performance of AC-RAP mixtures has to be evaluated to understand and validate the applicability of incorporating RAP. Therefore, this paper suggests a framework to predict the DoB between RAP and virgin materials, and to optimise production conditions to achieve full blending by a simple but effective and practical procedure. Furthermore, to investigate and analyse the effects of two of the most critical parameters namely mixing time and temperature on mixture homogeneity and DoB level, three indicators, namely volumetric properties (air voids), indirect tensile stiffness modulus (ITSM), and indirect tensile strength (ITS) were selected to quantify the effects of the chosen parameters and to estimate the DoB between RAP and virgin binders.

2 Materials and methods

2.1 Materials

To achieve the aims of this study, a 0/14 AC for surface courses according to BSEN 13108-1:2006 [15] was selected as a reference mix. Two mixtures were designed, one without any RAP (the control HMA), and one matching the control HMA with respect to aggregate gradation, binder content and volumetric properties, but containing 50% RAP as a percentage of aggregate content. The following materials were used in the experimental work:

  1. 1.

    40/60 binder grade with 49 dmm penetration, used for the control HMA.

  2. 2.

    160/220 binder grade with 188 dmm penetration, used as a rejuvenator. This binder was selected based on blending charts as will be explained in the following sections.

  3. 3.

    Granite aggregate supplied from Bardon Hill quarry, Leicestershire, UK. The aggregate consisted of four fractions; 0–4, 4–6, 6–10, and 10–14 mm, so by mixing a certain percentage of each size, the final aggregate grading met the required 0/14 AC aggregate gradation, as shown in Fig. 1.

    Fig. 1
    figure 1

    Aggregate gradation of the control HMA aggregate, RAP aggregate only, and AC mix containing 50% RAP and required virgin aggregate

  4. 4.

    RAP supplied by FM Conway, London, UK, obtained by milling of road surfaces. The compositional analysis of the RAP revealed that the RAP contained 5.7% binder with a penetration 17 dmm. It also showed that the RAP aggregate consisted of fractions as shown in Fig. 1. So by analysing RAP aggregate grading and mixing 50% of the RAP aggregate with specific proportions of the virgin aggregate, the final grading of AC-50% RAP almost matched the control HMA grading as shown in Fig. 1.

It has to be mentioned that every effort has to be made to bring the gradation of the mix containing RAP as close as possible to the control mix, to eliminate or minimise any effects of differences in the aggregate gradation on the performance of the studied mixtures. Also, no WMA technology was implemented in this study, because the viscosity of the soft binder that was used in this study was sufficiently low for it to be mixed without using any WMA additives.

2.2 Mix design

The control HMA was designed according to British Standards. As stated earlier, 0/14 mm AC surface course was selected in this study. Binder content was determined as 5.1% according to BS 4987-1 [16]. The maximum theoretical specific gravity was determined according to BS EN 12697-5 [17] by following the mathematical procedure using the following equation:

$${\text{Dmc}} = 100/\left( {p_{\text{b}} /d_{\text{b}} + p_{{{\text{a}}1}} /d_{{{\text{a}}1}} + p_{{{\text{a}}2}} /d_{{{\text{a}}2}} + \cdots + p_{\text{an}} /d_{\text{an}} } \right)$$
(2)

where Dmc is the maximum density by calculation, \(P_{\text{b}} \;{\text{and}}\; d_{\text{b}}\) are percentage and density of the binder and \(p_{\text{ai}} \;{\text{and}} \;d_{\text{ai}}\) are percentages and densities of every aggregate portion. Mixing and compaction temperatures were determined based on dynamic viscosity measurements. Bitumen viscosities of 0.17 and 0.28 Pa s were recommended for mixing and compaction [18]. Accordingly, the mixing and compaction temperatures were determined as 155 and 145 °C.

Asphalt mix design with RAP incorporation is a complicated process. Due to the variability in RAP characteristics from one source to another or even from the same source, there is no globally applicable mix design method. Lo Presti et al. [9] stated that due to the variability in RAP properties, every RAP should be characterised accurately with particular attention paid to the RAP binder. In general, there are two ways to design RAP mixtures. The first is to design based on a known RAP percentage; the second is to design based on a known virgin binder grade [8]. The former is useful in controlling the RAP quantity in the mix design, but the required virgin binder grade has to be determined based on blending charts. The latter is useful when the grade of the virgin binder that will be mixed with the RAP is known, based on which the RAP quantity can be determined. In this study, since the chosen RAP quantity was 50%, the mix was designed based on the known RAP quantity approach.

The detailed design procedure followed in this study was as follows:

  1. 1.

    Based on the nominal aggregate size of the control mix, the RAP was sieved on sieve size 16 mm and all particles larger than this size were removed.

  2. 2.

    Rap binder extraction and recovery was carried out according to BS EN 12697-3:2013 [19]. The extraction and recovery process is required for design purposes only.

  3. 3.

    Determinate RAP binder content according to BS EN 12697-1:2012 [20].

  4. 4.

    Measure the particle size distribution of RAP aggregate after extracting the binder according to BS EN 12697-2:2015 [21].

  5. 5.

    Determinate RAP maximum theoretical specific gravity according to British Standard BS EN 12697-5 following the volumetric procedure.

  6. 6.

    Determinate the RAP aggregate effective specific gravity using the following equation [22]:

    $${\text{Gse}}_{{{\text{RAP}}\; {\text{aggregate}}}} = \left( {100 - {\text{RAP}}_{\text{bc}} } \right)/\left( {100/{\text{Gmm}}_{\text{RAP}} - {\text{RAP}}_{\text{bc}} /{\text{Gb}}_{\text{RAP}} } \right)$$
    (3)

    where \({\text{Gse}}_{{{\text{RAP}}\; {\text{aggregate}}}}\) is the effective specific gravity of the RAP aggregate, GmmRAP is the maximum theoretical specific gravity of the RAP, RAPbc and GbRAP are RAP binder content and the specific gravity of the RAP binder. Gse of the RAP aggregate was determined to calculate the maximum theoretical specific gravity of the AC-RAP mix using Eq. 1, so that it can be used to calculate air voids content in the samples.

  7. 7.

    Calculate the required mass of RAP aggregate based on designed RAP% as follows:

    $${\text{RAP}}_{\text{agg}} = {\text{RAP}}\% \times {\text{total }}\;{\text{aggregate }}\;{\text{mass}}$$
    (4)

    where \({\text{RAP}}_{\text{agg}}\) is the mass of RAP aggregate, \({\text{RAP}}\%\) is the designed percentage of the RAP in the mix.

  8. 8.

    Calculate the mass of RAP binder that will be introduced into the mix, as follows:

    $${\text{RAP}}_{\text{b}} = {\text{RAP}}_{\text{agg}} \times \left( {\frac{1}{{1 - {\text{RAP}}_{\text{bc}} }} - 1} \right)$$
    (5)

    where \({\text{RAP}}_{\text{b}}\) is the mass of RAP binder. Accordingly, the RAP mass that has to be introduced into the mix is basically the sum of RAP aggregate weight calculated using Eq. 4 and RAP binder weight using Eq. 5.

  9. 9.

    Calculate the mass of the rejuvenator binder and the percentage of each binder with respect to the total binder weight in the mix, as follows:

    $${\text{Rej}}_{\text{b}} = {\text{Total}}\; {\text{binder}} \;{\text{mass}} - {\text{RAP}}_{\text{b}}$$
    (6)
    $${\text{Rej}}_{{{\text{b}}\% }} = {\text{Rej}}_{\text{b}} / {\text{Total}}\; {\text{binder}} \;{\text{mass}}$$
    (7)
    $${\text{RAP}}_{{{\text{b}}\% }} = {\text{RAP}}_{\text{b}} / {\text{Total}}\; {\text{binder}} \;{\text{mass}}$$
    (8)

    where \({\text{Rej}}_{\text{b}}\) is the mass of the required soft binder in the mix, \({\text{Rej}}_{{{\text{b}}\% }}\) is the percentage of the soft binder and \({\text{RAP}}_{{{\text{b}}\% }}\) is the percentage of the RAP binder with respect to the total binder weight in the mix.

  10. 10.

    After determining the percentages of each of the binders, the required grade of the rejuvenator can be calculated using the following logarithmic equation [15]

    $$\log {\text{pen}}_{\text{blend}} = a \times \log {\text{pen}}_{{{\text{RAP}}\; {\text{binder}}}} + b \times \log {\text{pen}}_{\text{rejuvenator}}$$
    (9)

    Doing the required mathematical manipulation, the grade of the rejuvenator binder that brings the RAP binder into a specific binder grade can then be calculated as follows:

    $${\text{pen}}_{\text{rejuvenator}} = 10^{{((\log {\text{pen}}_{\text{blend}} - a \times \log {\text{pen}}_{{{\text{RAP}}\; {\text{binder}}}} )/b)}}$$
    (10)

    where \({\text{pen}}_{\text{rejuvenator}}\) is the required binder grade, \({\text{pen}}_{\text{blend}}\) is the target grade which is the grade of the control mix binder, \({\text{pen}}_{\text{RAP}}\) is the grade of the RAP binder, a and b are the proportions of RAP binder and rejuvenator respectively.

2.3 Blending charts and blended binder properties

Based on the suggested mix design procedure, the proportions of the rejuvenator and RAP binder were determined, while the rejuvenator grade was calculated based on Eq. 9. For 50% RAP aggregate incorporation, RAP binder percentage was 44% of the total binder. With these conditions and using a RAP binder of penetration 17.3 dmm and setting the target binder to 49.0 dmm, the soft binder grade required was 188 dmm. Figure 2 shows the proposed blending chart for the blended binders, and Table 1 shows penetration test results of the blended binders based on the calculated proportions. It can be seen that the rejuvenated binder penetration (47.3 dmm) is quite close to the target binder penetration (49.0 dmm) which implies successful RAP binder rejuvenation and the use of the correct binder proportions. Moreover, Fig. 3 presents the results of rotational viscosity tests of all studied binders conducted using a Brookfield viscometer. The results indicate that blending of the RAP binder with the soft binder based on the suggested proportions results in a rejuvenated binder with quite comparable viscosity to the target binder which confirms the previous conclusion. Furthermore, to further validate the results of the suggested blending proportions, rheological properties of all binders were tested using a DSR by running frequency sweep tests and constructing complex modulus master curves. Figure 4 shows the constructed shear modulus master curves. The effect of the soft binder on the rheological properties of the hard binder can clearly be seen, also the match between the rejuvenated binder and the target binder properties, which suggests the recovery of the RAP binder’s rheological properties. Moreover, Fig. 5 is an isochronal plot of the parameter G*/sinδ at 10 rad/sec frequency. The rejuvenation process using the soft binder shifted the G*/sinδ results to values close to those of the target binder, which means that the rejuvenated binder has similar rheological properties to the target binder. Also, the critical high temperature which is the temperature at which the parameter G*/sinδ equals 1.0 kPa [23] was determined as shown in Table 1. The results show that the critical high temperatures for the target binder and the rejuvenated binder are quite similar, with a difference of 1.4 °C which means that both binders have a similar critical high temperature.

Fig. 2
figure 2

RAP and soft binder blending chart

Table 1 Properties of the RAP binder, rejuvenator, and the base binder
Fig. 3
figure 3

Rotational viscosity results

Fig. 4
figure 4

Complex modulus master curves

Fig. 5
figure 5

Critical high-temperature parameters

These results suggest that Eq. 9 has accurately determined the grade of the required soft binder, and binder blending based on the penetration criterion can satisfy the superpave performance grade requirements since both binders have a similar critical high temperature after the rejuvenation process. The results also suggest that both binders will perform similarly if the blending between the soft binder and RAP binder is 100%. This point is quite crucial because estimating RAP binder participation and the degree of blending depends on this assumption; if the two binders are 100% blended in the mix, then a similar performance to that of the control HMA should be obtained. If the blending is less than 100%, a difference in the performance between RAP-AC and HMA will be observed, which also means that the production conditions have to be adjusted until similar performance to the control HMA is obtained.

2.4 Asphalt mixing and compaction

After determining the mix design proportions, the control HMA was mixed and compacted according to the standard production temperatures of 40/60 binder grade. The aggregate was heated overnight, and the binder was heated for 3 h; then the ingredients were mixed in a bucket mixer and compacted at the designated compaction temperature in square moulds to prepare slabs with dimensions 306 × 306 mm. After that, cylindrical specimens with 100 mm were cored, and the top and bottom were trimmed in order to obtain homogeneous samples for testing. The choice of sample diameter was due to compliance with the testing standards used in this study to evaluate the mechanical properties of the studied mixtures. In the case of fabricating RAP samples, the following procedure was followed:

  1. 1.

    Heat the virgin aggregate overnight at the required mixing temperature.

  2. 2.

    Heat the RAP and soft binder for 2–3 h at the production temperature.

  3. 3.

    Mix the RAP and virgin aggregate only for 30 s. This step is essential to reduce the RAP binder film and to help in preventing RAP agglomeration.

  4. 4.

    Add the soft binder and mix for the specified mixing time.

  5. 5.

    Compact the asphalt at the required compaction temperature, then core and trim normally.

Following this procedure, HMA control specimens were mixed at 155 °C and compacted at 145 °C since these temperatures correspond to the standard mixing (0.17 Pa s) and compacting viscosities (0.28 Pa s) of the base binder [18]; whereas AC-RAP samples were mixed at three different temperatures within the WMA production range, 135, 115, and 95 °C, and compacted at 10 °C less than the mixing temperature. At every mixing temperature, 1, 3 and 5 min mixing time were used. This choice of mixing times and temperatures was made in order to understand the effect of these factors on the blending process, giving information that can be utilised in optimizing the production conditions of AC-RAP mix. Figure 6 shows four AC-RAP samples fabricated in this way but under different production conditions.

Fig. 6
figure 6

a, b are AC-RAP samples containing 50% RAP mixed at 95 °C for 1 min, b, c are also AC-RAP samples containing 50% RAP but mixed at 135 °C for 3 min

2.5 Volumetric properties and performance measures

2.5.1 Air voids

Figure 6 which presents four samples mixed at different temperatures for different times, demonstrates visually that the homogeneity of the samples is significantly affected by the production conditions. Figure 6a, b clearly show the agglomeration of RAP particles due to the lower production temperature and mixing time, whereas Fig. 6c, d show a well mixed sample. Moreover, the air voids content and distribution are significantly affected by these factors. Thus, the air voids content was used to assess the volumetric properties. It was calculated by measuring the bulk density following British Standard BS EN 12697 [24] and determined as the difference between the maximum density and the bulk density divided by the maximum density.

2.5.2 Indirect tensile stiffness modulus (ITSM)

This measure was selected to evaluate specifically the performance of the asphalt samples containing RAP. In this test, 5 microns horizontal deformation is applied by exerting the required stress, which equates to 50 microstrain for 100 mm diameter samples. Since this is a small strain, it is mainly absorbed and resisted by the binder in the mix, which plays a significant role in preventing the movement of aggregate particles [25]. In other words, this test is sensitive to binder stiffness because it is the parameter that resists the applied deformation during testing. Accordingly, it was implemented to study the effects of production conditions on the homogeneity and performance of AC-RAP mix. In this study, the stiffness was measured by performing indirect tensile stiffness modulus (ITSM) tests according to British Standard BS EN12697-26 [26].

2.5.3 Indirect tensile strength (ITS)

Strength is a fundamental property that can be used to evaluate the stress that a material can resist before a fracture occurs. This parameter was selected since it was reported that it correlates well with rutting and fatigue cracking; the higher the strength, the higher the rutting and fatigue cracking resistance [27]. Moreover, indirect tensile strength (ITS) tests can be conducted after ITSM testing because the latter is a non-destructive test, which means the same samples can be tested. The ITS test was performed in accordance with British Standard BS EN 12697-23 [28].

3 Results and discussion

3.1 Air voids

Figure 7 presents the results of the air voids content. The results show a clear relationship between air voids content and mixing time and temperature parameters. The higher the mixing temperature, the lower the air voids until it reaches the target value of 5%. The trend is complicated by mixing time. For example, mixing at 135 °C for 3 min was sufficient to achieve the target air voids, whereas at 115 °C, a longer mixing time was required, and the target air voids were barely obtained after 5 min of mixing. At 95 °C, the target air voids were never achieved, even after 5 min of mixing. The different air voids under different production conditions may be explained by two factors.

Fig. 7
figure 7

Air voids results

The first is the phenomenon of particle clustering. Clustering can be defined as the agglomeration of RAP particles during mixing which leads to changing effective aggregate gradation and a decrease in the volume of free fine particles in the mix, thus affecting air voids content [29]. Increasing mixing temperature reduces RAP particle clustering by lowering RAP binder viscosity during mixing. The second factor is the actual size range of RAP aggregate particles and the amount of activated binder in the mix. At low production temperatures, less RAP binder is activated and the remainder of the RAP binder is inactive, increasing the effective sizes of RAP particles. This changes the effective particle gradation from the design gradation, and leads to a dry mix since the active binder content is less than the design binder content. As the production temperature increases, the viscosity of RAP binder decreases, and more active binder is introduced into the mix, filling the air voids, and reducing the effective sizes of RAP aggregate particles toward the design gradation. This leads to lower air voids in the mix and improved volumetric properties. These explanations are consistent with the air voids results in Fig. 7.

To validate the statistical significance of these results, a T test was performed, and a total number of 45 specimens (5 samples for every condition) were tested. Air void results for every parameter were verified against the air void results for the samples produced at 135 °C and 5 min of mixing, since target air voids were achieved under these conditions. Table 2 presents the results of the analysis. It can be seen that most of the results are statistically significantly different, apart from the samples produced at 3 min mixing at 135 °C or 5 min mixing at 115 °C. This means that according to the air voids criteria, AC containing 50% RAP can be produced as low as 115 °C if it is mixed for 5 min without compromising the air voids, whereas other production conditions may significantly affect the air voids content.

Table 2 Air voids statistical analysis

3.2 ITSM results

The stiffness test results are presented in Fig. 8. A similar but inverse trend to the air voids can be seen, with an improvement in the ITSM as the temperature or mixing time increases. Furthermore, mixing at 135 °C for 5 min shows a comparable performance to the control HMA. These results give information on the blending process between the soft binder and the RAP binder. In the case of poor binder blending, the rejuvenator binder dominates the sample response since it represents the binder surrounding particle contacts, whereas much of the RAP binder is still acting like a black rock. However, as the mixing temperature, mixing time or both increases, the ITSM values increase, which means the two binders are blending and the hard binder is stiffening the soft binder during the mixing process. The binder stiffening process can be explained by the forced diffusion of the soft binder into the aged binder. The diffusion process is a function of mixing time, temperature, rejuvenator and aged binder properties [30]. Accordingly, the greater the mixing time and temperature, the higher the diffusion rate which ultimately leads to stiffening of the soft binder and increased ITSM. Moreover, it can be concluded from the results that when mixing at 95 °C, relatively poor blending is achieved and the RAP is acting almost like a black rock, even after 5 min of mixing. Mixing at 115 °C shows a partial participation of the RAP binder and the blending improves with mixing time. However, mixing at 135 °C for 3 or 5 min clearly indicates good blending between the two binders which is reflected in the ITSM results.

Fig. 8
figure 8

ITSM results

3.2.1 Relations between ITSM, DOB and Pen

Based on this evidence, stiffness measurements were used to quantify the DoB between RAP binder and the rejuvenator. The DoB is calculated as a percentage of the ITSM of the control mix using the following equation:

$${\text{DoB}}\% = {\raise0.7ex\hbox{${{\text{ITSM}}_{{{\text{AC}} - 50\% {\text{RAP}}}} }$} \!\mathord{\left/ {\vphantom {{{\text{ITSM}}_{{{\text{AC}} - 50\% {\text{RAP}}}} } {{\text{ITSM}}_{\text{Control}} }}}\right.\kern-0pt} \!\lower0.7ex\hbox{${{\text{ITSM}}_{\text{Control}} }$}} \times 100\%$$
(11)

where \({\text{DoB}}\%\) is the percentage of the degree of blending between RAP and soft binders, \({\text{ITSM}}_{{{\text{AC}} - 50\% {\text{RAP}}}}\) is the stiffness modulus of AC-RAP samples, and \({\text{ITSM}}_{\text{Control}}\) is the stiffness of the control HMA. If the AC-RAP mix shows stiffness similar to the control mix, then the DoB is 100%; lower AC-RAP stiffness means less blending. DoB results are presented in Fig. 9. It can be seen that 86–96% DoB was achieved when mixing for 3 or 5 min at 135 °C, while 79% DoB was achieved when mixing at 115 °C for 5 min. Other production conditions showed 60% or less DoB. However, these results were calculated based on the average ITSM results. To better analyse the DoB results, variability in ITSM results has to be considered. Figure 8 shows that all stiffness measurements of AC-RAP samples produced at 135 °C when mixing for 5 min fall in the range of the control mix stiffness, suggesting no statistically significant difference between the two results. This means that these production conditions can be considered as optimised since they produce a mixture with statistically similar performance to the control HMA and the assumption of 100% RAP binder participation is therefore valid.

Fig. 9
figure 9

DoB calculation results

To further validate the results of this analysis, the relationship between ITSM at 20 °C and penetration grade was explored. Five binder grades between 33 and 188 dmm penetration were used and AC samples fabricated with the same mix proportions and air voids content, and with virgin materials only. The ITSM values of these samples were then determined for at least three specimens per binder grade following the same procedure. The results are presented in Fig. 10. A power law equation was found to represent the relationship between binder grade and ITSM. Statistically speaking, R2 equals 0.92, which indicates a reasonable correlation. This relationship was then used to back-calculate and estimate the effective binder grade for the AC-RAP samples. Figure 11 shows the results of these back-calculated binder grades. It can be seen that the effective penetration of the samples produced at 135 °C for 3 or 5 min of mixing reached that expected after full blending since the back-calculated binder grade is about 49 dmm, which matches the target binder grade. Furthermore, mixing at 115 °C for 5 min also came relatively close with 55.6 dmm. The results for back-calculated penetration grade provide a means of expressing the relative influence of rejuvenator and RAP binders, complementing the DoB values. The advantage of this approach is that it is possible to estimate binder grade and DoB without the need to extract and recover binder. Furthermore, the results presented in Fig. 11 show that the back-calculated binder grades for all samples were between 47 and 106 dmm, whereas the soft binder penetration was 188, which means that even when mixing at 95°, part of the RAP binder is mobilized and participating in the mix.

Fig. 10
figure 10

Penetration and ITSM relationship

Fig. 11
figure 11

Back-calculated penetration

3.3 ITS results

The ITS results are presented in Fig. 12. The same trend can be identified; the higher the mixing time or temperature, the better the performance in terms of ITS. Mixing at 135 °C for 5 min achieved the target ITS, which was the strength of the control mix, whereas mixing at 135 °C for 3 min or at 115 °C for 5 min resulted in 92% of the control ITS, approximately consistent with the ITSM results. However, as stated in the literature, the ITSM test is more sensitive to binder than the ITS, because the low strain in the ITSM test occurs mainly in the binder, with only slight aggregate movement during load application. For this reason, the ITS results were not used to estimate DoB or back-calculate the blended binder grade, but can be taken as an indicator of mixture performance to evaluate the fracture resistance of the AC-RAP mixtures.

Fig. 12
figure 12

ITS results

4 Conclusions

A main reason that forces policy makers in limiting the amount of RAP content in surface courses is connected with uncertainties in the mix design such as ideal mixing time and temperatures and the degree of mobilization of the RAP binder. This becomes even more complex when production temperatures are lowered within the warm mix region. This study shows that common assumptions, such as full blending, is rarely reasonable but could be practical if accurate design and processing conditions are used, even for asphalt mixes for surface courses incorporating high-content RAP and produced at WMA production temperatures. A 0/14 mm AC containing 50% RAP was used in this study, and its laboratory performance evaluated based on ITSM and ITS indicators compared to a control mix with the same proportions but without RAP. The effect of two critical factors, mixing time and temperature, was studied and results provided a relation that allows mix designer to predict which conditions would make the hypothesis of full blending reasonable. This approach is based on ITSM or ITS results and allows evaluating the DoB and predict the effective penetration grade of the recycled mixture binder without the need to extract and recover any binder. Based on the results of this study, the main conclusions can be summarized are as follows:

  1. 1.

    Warm Asphaltic mixtures with high RAP content can be successfully produced with comparable stiffness and strength to traditional HMA if the production conditions are correctly designed.

  2. 2.

    The DoB was found to be a function of mixing time and temperature and it can be estimated from stiffness or strength measurements. The authors believe that ITSM measurements provide higher accuracy since this characteristic has been proved to be more sensitive to binder stiffness.

  3. 3.

    The hypothesis of full blending is rarely acceptable with the common mixing conditions guaranteeing asphalt plant productivity, however if these are optimised it can be plausible even within the warm mix region. For instance, in this study the ITSM results showed that full blending is a plausible assumption (DOB 96%) for an AC with 50% RAP mixed at 135 °C only if 5 min were allowed for the mixing.

  4. 4.

    On the other hand, the black rock phenomenon is unlikely to happen in the warm region. In fact, results showed that even when mixing at temperatures as low as 95 °C and for 1 min mixing time, the RAP binder was still partially mobilized with the DoB for this condition being 36%. This is probably justified from the fact that at this temperature only the outer layer of RAP binder became active, and there was insufficient heat energy to activate the entire thickness. However, increasing mixing time improved this value due to the increased mechanical contact when mixing for an extended period.

This investigation was tailored for one type of RAP and for one type of asphalt mixture only. Further study should look at extending this investigation looking at similar relations but covering a wider spectrum. Also considering that these findings might suggest that the full blending hypothesis is unpractical for the sake of asphalt plant productivity, it is suggested to investigate models and strategies aimed at improving this aspect on the basis of the presented results.