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comparison of alternative asphalt concrete rut characterization

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BERTHELOT, CROCKFORD & LYTTON 19Figure 6 Rapid Triaxial TesterThe applied traction waveform and strain response <strong>of</strong> a dynamic frequency sweep test may be expressedas:iωt() t = eT11 T 11pεi( t )11 ( t)ω −φ= ε11pewhere: T 11 (t) = time dependent boundary traction in X 1 coordinate direction (Pa)T 11p = peak applied boundary traction in X 1 coordinate direction (Pa)ε11 (t) = time dependent axial strain response in X1 coordinate directionε11p= peak axial strain response in X1 coordinate directionω = angular load frequency (radians per second)t = load period (seconds)φ = phase angle (radians)By substitution, the complex modulus <strong>of</strong> a time dependent material may be expressed as:E * =T11P(t)ε11P(t)=εiωtT11pei(ωt−φ)11p e

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