This paper employs the linear viscoelastic parameter G′/tanδ as the quantitative criterion for identifying a common relationship with the Ring and Ball softening point of both unmodified and polymer-modified bitumen (PMB). Temperature sweep was conducted at 10 rad/s with dynamic shear rheometer to determine the complex shear modulus G* and phase angle δ of bitumen. The parameter G′/tanδ could be obtained. Logarithmic interpolation was applied for G′/tanδ to determine the equivalent softening temperature T_{s_G′/tanδ} at which G′/tanδ equals the proposed criterion values. With this method, a good agreement could be reached between T_{s_G′/tanδ} and the softening point for both unmodified bitumen and PMB. While keeping high accuracy for unmodified bitumen, the accuracy of T_{s_G′/tanδ} as an estimation of the softening point of PMB was largely improved when compared to the iso-modulus approach. The reliability of this quantitative relationship is preliminarily verified and its implementation is discussed in the Black space.

本文采用的线性粘弹性参数ģ '/棕褐色δ为量化标准用于识别与未修饰的和聚合物改性沥青（PMB）的环和球软化点的公共关系。使用动态剪切流变仪以10 rad / s的温度进行扫描，以确定沥青的复数剪切模量G *和相角δ。参数ģ '/黄褐色δ可以得到的。对数插值涂敷了用于ģ '/黄褐色δ来确定等效软化温度Ť_{小号_ ģ '/黄褐色δ}在该ģ'/棕褐色δ等于所提出的标准值。通过这种方法，一个好的协议可能方达成牛逼_{小号_摹'/棕褐色δ}和未改性沥青和PMB软化点。同时保持高精确度为未改性的沥青，精度Ť_{小号_ ģ '/棕褐色δ}为PMB的软化点的估计相比，异模量分析方法时有较大的提高。初步验证了这种定量关系的可靠性，并在黑空间中讨论了其实现。