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Determination of Creep Compliance and Tensile Strength of Hot-Mix ...

Determination of Creep Compliance and Tensile Strength of Hot-Mix ...

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small range (the difference between the maximum <strong>and</strong> minimum values) <strong>of</strong> creepcompliance per temperature can produce problems in the algorithm used to createthe master creep compliance curve (the full explanation <strong>of</strong> which is beyond thescope <strong>of</strong> this paper) by limiting the amount <strong>of</strong> overlap created when the -10°C <strong>and</strong>the 0°C creep compliance – time curves are shifted to the right in time to extend the-20°C curve thereby creating one continuous, creep compliance – reduced timemaster curve. The general process is shown in Figure 11 using the 07-123 datacalculated using the original method.1.000<strong>Creep</strong> <strong>Compliance</strong> Master Curve<strong>Creep</strong> <strong>Compliance</strong> (1/GPa)0.100Shift RightShift RightOverlapOverlap-20 Deg C: Reference Temperature0.0101.00E+00 1.00E+01 1.00E+02 1.00E+03 1.00E+04 1.00E+05 1.00E+06Reduced Time (seconds)-20 Deg C -10 Deg C 0 Deg CFigure 11: <strong>Creep</strong> <strong>Compliance</strong> Master Curve CreationThis conclusion was reached using two different types <strong>of</strong> analyses: one was basedon creep compliance values calculated using a different method for determining t zero ,<strong>and</strong> the other was based on arbitrarily increasing the range <strong>of</strong> creep compliancevalues for the 07-123 mix at -10 <strong>and</strong> 0°C.The alternative method for determining t zero is based on an “equivalent area” conceptwhere at some time, t, the area under the load versus time curve <strong>of</strong> a noninstantaneousramp load is equal to the area under a true creep load pr<strong>of</strong>ile at time,t′. This concept was first suggested to the authors by James Sherwood <strong>of</strong> theFHWA. Later, Harold Von Quintus verified that this concept has been used in thepast, particularly in an earlier flexible pavement analysis program called VESYS.23

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