Constitutive modeling of the nonlinearly viscoelastic response of asphalt binders; incorporating three-dimensional effects

A dynamic shear rheometer is again used to characterize the nonlinearly viscoelastic properties of asphalt binders at intermediate or high temperatures. In our previous work, the dynamic shear rheometer test results showed that, under certain conditions, a compressive normal force was generated in an axially constrained specimen subjected to cyclic torque histories. This normal force could not be solely attributed to the Poynting effect and was also related to the tendency of the asphalt binder to dilate when subjected to shear loads. The generated normal force changed the state of stress and interacted with the shear behavior of asphalt binder. This effect was considered to be an “interaction nonlinearity” or “three-dimensional effect.” The concept is explored further in this paper by developing a fundamental approach to modeling the observed behavior. In this approach, the octahedral shear stress is used to represent the three-dimensional stress state in Schapery’s model of nonlinearly viscoelastic behavior. The model was successfully validated for several different loading histories. These results highlight the importance of modeling the mechanical behavior of asphalt binders based on the three-dimensional stress state of the material.