The main objective of the present work is to develop a micromechanics approach to predict the macroscopic anisotropic creep behaviour of granular media. To this end, the linear viscoelastic behaviour of the inter-particle interaction at contact is adopted, and the contact distribution is characterized by a fourth-order fabric tensor in the local scale. Then, fourth-order tensor fabric-based micromechanical approaches based on Voigt and Reuss localization assumptions are applied to granular media in the Laplace–Carson space. With help of the inverse Laplace–Carson transformation of these obtained models, the macroscopic anisotropic creep behaviour of granular media submitted to a constant external loading is examined. Finally, the obtained results by specializing the Burgers model into the obtained models are compared with the numerical simulations in the particle flow code (PFC2D) to illustrate the validation and the accuracy of the analytical models for the macroscopic anisotropic creep behaviour of granular media.

目前工作的主要目标是开发一种微观力学方法来预测颗粒介质的宏观各向异性蠕变行为。为此，采用接触时颗粒间相互作用的线性粘弹性行为，接触分布以局部尺度的四阶织物张量为特征。然后，基于 Voigt 和 Reuss 定位假设的基于四阶张量织物的微机械方法应用于拉普拉斯-卡森空间中的颗粒介质。在这些获得的模型的逆拉普拉斯-卡森变换的帮助下，检查了受到恒定外部载荷的颗粒介质的宏观各向异性蠕变行为。最后，