# Development of a Fundamental Skid Resistance Asphalt Mix Design Procedure

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1 Development of a Fundamental Skid Resistance Asphalt Mix Design Procedure Sullivan, B.W. 1 1 Pavement Management Service, Sydney, Australia ABSTRACT Traditionally, when designing asphalt mixtures for skid resistance, designers have relied upon two measures: the Polished Stone Value (Polished Aggregate Friction Value), and the mixture gradation type. However, the use of these arbitrary measures can and have, somewhat clouded the fundamental issues related to skid resistance, of whether a vehicle can stop in the required time/distance or whether a vehicle can negotiate a curve safely. Recently a method has been developed and published that uses the International Friction Index (IFI) to determine a design vehicles stopping distance and potential for loss of control. This method relies on the use of the both the International Friction Index macro and micro-texture measurements of a pavement surface to calculate a vehicle stopping distance requirements. This paper presents a method for estimating the macro-texture in terms of the Mean Profile Depth determined from the aggregate gradation and binder content, with the micro-texture determined from the Polished Aggregate Friction Value (PAFV) of the coarse aggregate. The measured Polished Aggregate Friction Value and the determined Mean Profile Depth are then used in terms of the International Friction Index macro and microtexture measurements along with the International Friction Index, friction curve, to determine the calculated design stopping distance. An iterative procedure is then used to determine the required combination of both macro and micro-texture required to meet stopping distance requirements; these values are then used to determine the required aggregate type and gradation and binder content for the asphalt surfacing layer. 1

3 The friction forces between the two surfaces is then developed by two principal components: 1. Shearing of adhesion developed between the tyre and the road surface. In this process the adhesion between the tyre and the road surface needs to be broken by shearing forces and it is these shearing forces that give rise to friction. The adhesion developed between the contact points between the tyre and the road surface, is the normal form of friction between two surfaces. 2. Energy loss through inelastic deformation of the tyre rubber (Hysteresis energy loss), for this type of energy loss it is not necessary for the surface to come into contact. A coarse macro texture generally produces large deformations and thus, larger amounts of energy loss. For this energy loss there may not necessarily be contact between the tyre and pavement surface International Friction Index Equation In the early 1990 s the PIARC harmonization experiment [2] developed a method by which the effect of increasing water film thickness (as a function of texture) could be used to determine the reduction in available effective friction as a function of the surface-tyre slip speed. This equation is shown following: Where: μ = μ e i v ( i ) Sp μ i is the coefficient of friction at slip speed v i Sp is the speed constant, which is directly related surface macro-texture μ 60 is the coefficient of friction at a slip speed of 60km/hr The advantage of this equation is that coefficient of friction at any slip speed can be obtained. 2.2 USING THE IFI VALUES TO DETERMINE STOPPING DISTANCE Recently Sullivan [3] published a method that uses the IFI Friction model to calculate vehicle-stopping distance under a panic braking situation (i.e. full wheel lock). In this process the slip speed, v i, is equal to the vehicle speed. By then Using the IFI equation and the equations of motion, the distance traveled in the interval (ds), for small velocity change (dv) can be found, (simplifying by assuming constant friction across the small interval), is given by. ds = vdv dv gμ e v ( ) Sp The total stopping distance for a vehicle at any given initial speed can then be solved by numerical integration between the initial vehicle speed and zero. 3

5 As suggested any move away from the maximum gradation will produce a higher VMA and thus higher surface texture for a given asphalt volume, however, any move away from the maximum density line will also produce a less stable mixture, which needs to be considered in the design process Affect of Change in Gradation on Asphalt Properties When designing asphalt mixtures care must be taken to ensure the chosen gradation will provide sufficient VMA, so that the binder content needed for durability will not cause bleeding problems and mixture stability problems, this level is commonly referred to as the critical air void level. It has been empirically known for some period and has been recently shown experimentally by Sullivan[6] that this critical air void level is typically below 3%, at air void levels below this the stability of asphalt mixtures significantly decreases. This is why mixtures produced at the maximum density line should be avoided. Ideally, a design asphalt mixture will need to have at least 4%, at refusal or maximum gyrations, to limit bleeding and ensure mixture stability in the field. However, to meet stopping distance requirements most likely any mixture will need to have a target air voids significantly higher than the critical air void content. As a mixture near the maximum density line, would tend to produce a texture in the vicinity of mm and would need to be compensated for with a significantly higher PSV. While design of asphalt mixtures for friction requirements will most likely not involve mixtures near the critical air void level, It can not be emphasized enough that any movement of the mix gradation away from the maximum density line to increase texture, it will also increase air voids in the mixture, which in turn: reduces mix stability, increases aging, increases permeability and reduces fatigue life. Therefore, when designing an asphalt mixture, for friction, any significant departure from the maximum density line will need to be compensated for by changing binder contents and/or changing binder grades. While this is of no concern in the US where there are over 20 binder grades available and less of a concern in Australia, this presents a significant problem in New Zealand, which is limited to practically one binder grade. Therefore, if the regulatory authorities are going to continue to specify higher texture requirements, to obtain the stability and durability from the asphalt mixture a larger range of binders will need to be made available. This concept is demonstrated in Figure 1 following, which schematically shows the effect of changes in the VMA on the asphalt mixtures properties. It is all of these effects need to be to be considered when changing mixture gradations and weighed up against the required performance. In the figure the arrow indicates the increasing tendency of the material property. 5

6 Aging Permeability Stiffness/stability Texture Tendency to bleed Open/Gap Graded Dense Graded 4% Air voids Graded close to maximum density Aggregate binder Air Binder Effects on Texture Figure 1 Phase Diagrams As introduced previously, the addition of higher binder contents into asphalt mixtures has the effect of filling more of the VMA, and thus, higher binder contents will produce lower textured mixtures as surface irregularities are smoothed out by binder. Thus any method used to predict in service surface texture measurements from the mixture volumetric s must also have some measure of the binder volume. Ideally, this would be percent effective binder by volume (total minus the % absorbed), however, the standard still predominating in the asphalt industry is the percent binder by weight, and will therefore to be used in the interim to estimate in service binder content. Conceptually the approach should be to take the volume of effective binder away from the voids in the mineral aggregate, corrected by some constant. 3 METHOD FOR DETERMINING THE REQUIRED MIXTURES MACRO AND MICRO-TEXTURE 3.1 ESTIMATING IN-SERVICE ASPHALT MICRO TEXTURE As previously mentioned the most common method in place for determining the micro texture of an asphalt mixture is based on polished aggregate testing, either PSV or PAFV. This test is designed to simulate the polishing of an aggregates fine texture in service and has been found to correlate well to in-service low speed texture measurements. 6

8 Table 1 NCAT Mixture Gradations PERCENT PASSING US 1" 3/4" 1/2" 3/8" #4 #8 #16 #30 #50 #100 #200 Metric E E N N N N N N N N S S W W W W W Table 2 NCAT Test Cells Volumetrics and In Service Texture Cell Mix Volumetric s Air Binder Voids Content MTD (in) MIX DESIGN METHOD E Super Pave E Super Pave N Super Pave N Super Pave N SMA N SMA N Super Pave N Super Pave N Super Pave N Super Pave S Super Pave S Super Pave W SMA W OGFC W OGFC W OGFC W SMA The results of the accelerated pavement testing showed that all of the mixtures on the NCAT test track were extremely stable nearly all of the asphalt mixtures and exhibited less than 5mm rutting after 8x10 6 ESAL s. It has been shown by 8

9 Galloway[1] that when trying to calculate skid resistance properties on less stable mixtures a measure of stability will be of benefit and should be included, therefore this method is not recommended to be used on unstable mixtures Weighted Distance From Maximum Density Line The results of this study found that the assessment of the in-service macro-texture in terms of the MPD could be accurately estimated by use of a weighted mean distance from the maximum density line, with the addition of binder content. In this process the weighted distance from the maximum density line, is found by summing and weighting each of the sieve sizes distance from that of the maximum density line, for all gradations used in the mix design, and is found from: Where: Ω = SivS MaxAgg % pass SivS Ω SivS MaxAgg %pass = Weighted Distance from the Maximum Density Line = Sieve size = Maximum Aggregate Size in Mix = percent of mixing passing the sieve size To develop an equation to predict the in-service MPD the weighted distance from the maximum density line and the percent binder by weight, were combined in numerical optimization process with the in-service MPD. The results of the optimization are shown graphically in Figure 2 and as can be seen very good correlation was achieved for the 17 sites examined. From the results of the optimization the texture depth, in terms of MPD (mm), can then computed using the weighted distance from the maximum density line and the binder content, by: MPD Where P b is the percent binder by weight. = b Ω Ω P

10 Model Statistics R 2 = 0.96 S e /S y = Predicted MPD(mm) Measured MPD(mm) 1.6 Figure 2 Results of Optimization 4 CALCULATING STOPPING DISTANCE OF DESIGN VEHICLE With the design micro and macro-texture of the proposed mixture it is then possible to determine the required stopping distance of the design vehicle using the MPD and PAFV, from the IFI friction curve and the harmonization procedure presented in ASTM E1960 [7]. The numerical approach for the determination of the vehicle response is presented in 4.1 following, which can be used to determine the response of the design vehicle at any given initial speed, using the asphalt mixtures design parameters. Alternatively, this process has been solved for initial vehicle speeds of 60, 80 and 100kmhr -1 and is presented in 4.2 in Figures 4, 5 and 6 respectively. 4.1 CONVERTING VALUES TO IFI FRICTION VALUES As the PAFV and the MPD are not in the IFI standard units (F 60 and S p ), the first step required in the process is to convert the measured PAFV and the determined MPD to the IFI friction values in accordance with ASTM E1960[6]. In this process firstly, the MPD depth is converted to the IFI Sp value by: Where: S = ( MPD) p S p = the speed constant. The next step is to use the PAFV to determine the friction at the IFI common friction value of F60, predicted using the S p determined in the previous step. 10

11 F60 = PAFV e 50 S p To calculate the total stopping distance for a vehicle at any given initial speed, the stopping distance equation of 2.2, can then be solved by numerical integration between the initial vehicle speed and zero. N.B. The IFI is based on a treadles test tyre, if the calculation of stopping distance is to be with any other sort of tyre an adjustment of the speed constant needs to me made. 4.2 STANDARD VEHICLE RESPONSE CHARTS To aid in the process, the procedure for calculating the vehicle response in accordance with 4.1 has been solved for initial vehicle speeds of 60, 80, and 100kmhr -1 and are presented in Figures 3, 4 and 5 respectively. These charts can then be used to determine the design vehicles response, for the designed mixture Design Vehicle Stopping Distance (m) MPD 0.4 MPD 0.65 MPD 1.2 MPD 2.0 MPD Polished Aggregate Friction Value (PAFV) Figure 3 Design Vehicle Response 60km/hr 11

12 Design Vehicle Stopping Distance (m) MPD 0.4 MPD 0.65 MPD 1.2 MPD 2.0 MPD Polished Aggregate Friction Value (PAFV) Figure 4 Design Vehicle Response 80km/hr Design Vehicle Stopping Distance (m) MPD 0.4 MPD 0.65 MPD 1.2 MPD 2.0 MPD Polished Aggregate Friction Value (PAFV) Figure 5 Design Vehicle Response 100km/hr 4.3 THE DESIGN PROCESS The process for designing an asphalt mixture for frictional requirements is shown in Figure 6 following, to aid in interpretation this process can be broken into two phases: 12

13 1. Determining the mix gradation and binder contents that will give adequate friction. In this process, the vehicle response determined by using either, 4.1 or 4.2, is then compared to that of the desired or design response. If the response is larger (i.e. greater stopping distance) than the desired response; the MPD will need to be increased by opening the gradation i.e. increasing the weighted distance from the maximum density line. Or alternatively, a coarse aggregate with a higher PAFV may also be used, or alternatively a process of increasing both the PAFV and MPD may be employed. This process is repeated until the desired stopping distance is achieved for a range of binder contents. 2. Determining if the binder contents/types that will give adequate stability. This process requires the gradation and binder content range previously determined that would achieve a required stopping distance to be tested for stability. From the results of the combined mix gradation and binder contents, a range of binder contents is achieved that will give an adequate stopping distance. Using the design binder contents the stability of the mixture is determined by a stability test (Marshall or Superpave). If the stability is less than the required level, for all binder contents an increased binder grade is then chosen and the process repeated. 13

14 Determine required stopping distance for the site Measure coarse aggregate PSV Develop trial aggregate gradation Calculate MPD for a range of binders, say 4-6% Calculate stopping distance for range of binders Yes Open up gradation No No is stopping distance greater than design distance for some binder contents Can an aggregate with higher PSV be sourced? Yes Limit binder range to range that passes Increase binder grade Perform stability tests on range of binder contents No is the stability higher than required? It may be possible to change gradation to increases stability Yes Accept Mixture design Figure 6 Flow Chart for Frictional Asphalt Mix Design 5 CONCLUSION This paper presented a method for the design of mix gradation and binder content, together with the design mixtures coarse aggregate PAFV, to determine a design vehicles response under locked wheel braking, using the IFI friction curve and the IFI parameters (F60, S p ). The measurement of pavement macro-texture is determined from the mix gradation and binder content in terms of MPD, which in turn is converted to the IFI macrotexture value of S p. The measurement of the pavement friction is determined from the PAFV, which is then in turn converted to the IFI F60 value with the addition of the determined S p. 14

15 The vehicle response under locked wheel braking is then determined using the IFI friction curve and the IFI values F60 and Sp. The approach adopted in this paper is that if the vehicle response (stopping distance) is greater than required, then either the mix gradation or the PAFV is modified by an iterative procedure until the desired response is achieved. The mix is then tested to ensure stability of the design mix is achieved if not an alternative binder grade is tested. 6 REFERENCES 1. University of Newcastle 2. PIARC International Experiment on Compare and Harmonize Texture and Skid Resistance Measurements, Association Internstionale Permanente Des Congres De La Route, Spain, Sullivan BW A Fundamental Approach to Skid Resistance Using IFI, 1 st Annual Friction Testing Workshop, SACL, Sydney, Transportation Research Laboratory 5. Fuller and Thompson 6. Sullivan B.W. Development of the Flow Number and Flow Time Simple Performance Test for Asphalt Mixtures, Arizona State University, Tempe Arizona, ASTM E 1960 Standard Practice for Calculating International Friction Index of a Pavement Surface, ASTM International,

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