Inter Conversion of Laboratory Measured Dynamic Modulus Results to Field Modulus and Strain

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    Interconversion of Laboratory Measured

    Modulus Results to Field Modulus andStrain

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    Conversion of Lab to Field

    Have we been doing it right for 40 years?

    Dynamic modulus is a angular frequency test

    Thickness has no effect on strain

    Modulus should be determined as function of strain time notstress

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    Background

    APS-fL has developed a database of Australiandynamic modulus results

    Conversion between lab and field is required

    This conversion is required for final recommendationson use of database

    No recommended method which has been validated

    against field modulus and strain

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    Data Requirements

    No data exist in Australia to currently do theconversion

    NCAT extensive database of laboratory modulus,

    field modulus and strain

    Link has been established between AAPA database

    and NCAT testing

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    Time Frequency Conversion

    Angular Frequency 1/!

    = 1/2"t Pulse frequency 1/t

    Angular frequency historically used in binders

    Pulse historically in some asphalt research

    The debate about which conversion to use for

    dynamic modulus test is not resolved

    AAPA will ignore the debate and subsequent complex

    mathematics and instead determine a directconversion based on actual data

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    Calibration Plan

    Process Data Source

    Stage 1- Calibrate lab field

    modulus interconversion

    Calibrate FrequencyInterconversion

    FWD Data NCAT

    Calibrate Temperature Profile

    Validate findings withWesTrack and MnRoads

    FWD WesTrack andMnRoads

    Stage 2- Calibratefrequency under moving

    load

    Calibrate load pulse width

    NCAT |E*| and strainCalibrate effect of frequencywith depth

    Stage 3- Validate multi-layer asphalt

    Validate Multi-layer results NCAT |E*| and strain

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    Effective Modulus

    Multi layer pavements need to be combined toequivalent single layer

    Combine individual dynamic test results by:

    "#$!"%&'()$ +,)-..%"/# !#$!"%&'()$ ,)$%"/#

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    Section S9 Analysis

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    All NCAT Sections

    k = 2"

    a = 1

    b = 2

    .)01!"/23)4

    Tave= atmid+ b

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    Validation Against MnRoads

    Stress

    Dependency

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    FWD are identical to in dynamic modulus results at afrequency of 5.3Hz

    Effective Temperature is 2oC higher than mid-layer

    temperature

    Dynamic modulus needs to be shifted 2"on the

    frequency axis to model stain under a field loading

    pulse

    FWD to Dynamic Modulus

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    Load with Depth for Moving Load (Stress

    Pulse)

    Brown Average loadingtime throughout layer

    CalMe distribution withdepth

    5673!$%&('$%('$%)*5678

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    Validation of Brown Approach

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    Validation of CalMe Approach

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    Stress Based Approaches

    Underestimate Strain

    Underestimate of loading time

    Overestimate of modulus

    9 thickness layers closer to line of equality Is thickness that important?

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    Unconstrained Optimisation

    a =1.8m

    b = 0

    3)4 !9+:(/;

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    Thickness has no influence on dynamic modulusfrequency

    Load Pulse is 1.8m long

    Contrary to (Austroads, Brown, CalMe and ME guide)strain pulse should be used, not the current stress

    pulse modelling approach.

    Frequency With Speed and Depth

    (Optimised)

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    Coffman 1967

    a vehicle acts as a cyclic load with a wave length of 6 feet

    using higher frequencies in the upper most layer and lower

    frequencies for the lower layers does not appear justified The use of a Strain pulse appears more accurate

    than the current use of the Stress pulse

    Frequency With Speed and Depth

    (Optimised)

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    NCAT Time of Loading

    Time of approx. 0.1to 0.9 sec

    Length of approx. 1.8

    to 2m

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    Multi Layer Optimisation

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    A constant frequency should be used regardless ofasphalt thickness for a given vehicle speed

    Strain can accurately be predicted using an

    equivalent single asphalt layer

    The use of Multi-layers in the Layer Elastic Code

    offers no benefit over a single effective layer

    Do we need to use multi layer asphalts?

    More work is required for sublayer and the temperaturewith depth profile

    Conclusions and Recommendations