Master Curve Establishment and Complex Modulus Evaluation of SBS-Modified Asphalt Mixture Reinforced with Basalt Fiber Based on Generalized Sigmoidal Model

Abstract

Basalt fiber has been proved to be a good modified material for asphalt mixture. The performance of basalt fiber modified asphalt mixture has been widely investigated by extensive researches. However, most studies focused on ordinary static load tests, and less attention was paid to the dynamic mechanical response of asphalt mixture incorporating with basalt fiber. This paper aims to establish the master curve of complex modulus of asphalt mixture incorporating of styrene-butadiene-styrene (SBS) polymer and basalt fiber using the generalized Sigmoidal model. Both loading frequency and temperature were investigated for dynamic mechanical response of asphalt mixture with basalt fiber. In addition, based on the time-temperature superposition principle, the master curves of complex modulus were constructed to reflect the dynamic mechanical response at an extended reduced frequency range at an arbitrary temperature. Results indicated that the generalized Sigmoidal model in this paper could better reflect the dynamic mechanical response accurately with correlation coefficients above 0.97, which is utilized to predict the dynamic mechanical performances accurately. Simultaneously, the modulus values exhibit an increasing trend with loading frequency and decrease versus temperature. However, the phase angle values showed different trends with frequency and temperature.

Experimental Characterization of Viscoelastic Behaviors of Nano-TiO2/CaCO3 Modified Asphalt and Asphalt Mixture

“…Based on the traditional Williams-Landel-Ferry (WLF) equation, the shift factor ( α T ) can be obtained as shown in the Equation (6) [ 48 , 50 ]. in which p 1 and p 2 represent fitted terms, T 0 is the reference temperature.…”

“…Based on this, the measured dynamic modulus of bituminous mixture in dynamic modulus test at various test conditions can be converted into the values at the reference temperature using the shift factor, thereby forming a smooth master curve of dynamic modulus. Therefore, the viscoelastic behavior of bituminous concretes in a larger temperature and frequency interval would be forecasted according to the master curve of dynamic modulus [ 48 , 50 ].…”

“…The complex modulus is related to the corresponding maximum values (2 σ 0 and 2 ε 0 ) of sine wave at a given time ( t ) and angular frequency ( ω ), as expressed in the Equation (2). The mechanical response is shown in Figure 4 [ 50 ]. …”

Evaluation and Comparison of Mechanical Properties of Polymer-Modified Asphalt Mixtures

“…In addition, it is also found that all asphalt mixtures showed similar trends regardless of modifier types. According to many studies [ 27 , 42 , 43 , 46 , 66 , 67 , 68 , 69 , 70 ], polymer modification resulted in a higher modulus for the modified asphalt mixture as compared with the control asphalt mixture. In this study, similar behavior was found by using different polymers, where the dynamic modulus of asphalt mixtures improved due to polymer addition.…”

Laboratory Evaluation of Rheological Properties of Asphalt Binder Modified by Nano‐TiO2/CaCO3

“…In the DSR test, the dynamic viscoelastic behavior of bitumen can be divided into two parts, including G * and δ [4,51,52]. G * is calculated by applying dynamic shear stress (τ max ) to bituminous sample, c max , defined by…”