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VEPCD Modeling of Asphalt Concr ete with Gr owing Damage 167
FIGURE 7-3 Stress mastercurves for the SBS mixture at (a) 0.0001, (b) 0.0005, (c) 0.001,
(d) 0.0022, (e) 0.004, and (f) 0.005 e levels. (Underwood et al. 2006b, with permission from
Association of Asphalt Paving Technologists.)
ξ = t (7-3)
a
T
For the remainder of this chapter, the models are formulated using the reduced time
(x) instead of the physical time (t), based on the TTS principle with growing damage.
The VECD Model
As mentioned earlier, the viscoelastic strain in this chapter covers both linear
viscoelasticity and the damage due to microcracking. The VECD model forms the basis
for the viscoelastic strain. This model is based on two principles: the elastic-viscoelastic
correspondence principle based on pseudostrain and the continuum damage mechanics-
based work potential theory.

