This paper is devoted to the introduction of physicochemical, filler size, and distribution effect in micromechanical predictions of the overall viscoelastic properties of asphalt mastic. In order to account for the three effects, the morphologically representative pattern (MRP) approach was employed. The MRP model was improved due to the arduous practical use of equivalent modulus formula solution. Then, a homogeneous morphologically representative model (H-MRP) with the explicit solution was established based on the homogenization theory. Asphalt mastic is regarded as a composite material consisting of filler particles coated structural asphalt and free asphalt considering the physicochemical effect. An additional interphase surrounding particles was introduced in the H-MRP model. Thus, a modified H-MRP model was established. Using the proposed model, a viscoelastic equation was derived to predict the complex modulus and subsequently the dynamic modulus of asphalt mastic based on the elastic-viscoelastic correspondence principle. The dynamic shear rheological tests were conducted to verify the prediction model. The results show that the predicted modulus presents an acceptable precision for asphalt mastic mixed with 10% and 20% fillers volume fraction, as compared to the measured ones. The predicted modulus agrees reasonably well with the measured ones at high frequencies for asphalt mastic mixed with 30% and 40% fillers volume fraction. However, it exhibits underestimated modulus at low frequencies. The reasons for the discrepancy between predicted and measured dynamic shear modulus and the factors affecting the dynamic shear modulus were also explored in the paper.

中文翻译：

---

基于形态学代表性模式的沥青胶乳粘弹性微机械预测模型

本文致力于介绍物理化学，填料尺寸和分布效应，以预测沥青胶泥的整体粘弹性。为了解决这三个影响，采用了形态学上代表性的模式（MRP）方法。由于等效模量公式解决方案的艰苦实际使用，改进了MRP模型。然后，基于均质化理论，建立了具有显式解的均质形态代表性模型（H-MRP）。考虑到理化作用，沥青胶泥被认为是一种由填料颗粒，结构沥青和游离沥青组成的复合材料。H-MRP模型中引入了其他相间周围的颗粒。因此，建立了改进的H-MRP模型。使用所提出的模型，基于弹性-粘弹性对应原理，导出了粘弹性方程来预测沥青胶乳的复数模量和随后的动态模量。进行了动态剪切流变试验，以验证预测模型。结果表明，与测得的模量相比，预测的模量代表了掺入10％和20％填料体积分数的沥青乳胶的可接受精度。对于掺有30％和40％填料体积分数的沥青玛蹄脂，预测模量与高频下的实测模量相当吻合。但是，它在低频下显示出低估的模量。本文还探讨了动态剪切模量与预测值之间的差异的原因以及影响动态剪切模量的因素。