Micromechanical modelling of the anisotropic creep behaviour of granular medium as a fourth-order fabric tensor

Micromechanical modelling of the anisotropic creep behaviour of granular medium as a fourth-order fabric tensor
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作为四阶织物张量的颗粒介质各向异性蠕变行为的微机械建模

DOI:
10.1177/16878140211036127
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发表时间:
2021-07
影响因子:
2.1
通讯作者:
Shuitao Gu
Shuitao Gu
中科院分区:
工程技术4区
文献类型:
--
作者:
Wei Wei;Chongshi Gu;Xuyuan Guo;Shuitao Gu

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本工作的主要目的是发展一种细观力学方法来预测宏观各向异性的颗粒介质的蠕变行为。为此,采用接触时颗粒间相互作用的线性粘弹性行为,并且接触分布的特征在于局部尺度中的四阶织物张量。然后,基于Voigt和Reuss局部化假设的四阶张量组构微力学方法被应用于Laplace-Carson空间中的颗粒介质。借助于这些模型的逆Laplace-Carson变换,研究了颗粒介质在恒定外载荷作用下的宏观各向异性蠕变行为。最后,将Burgers模型与颗粒流程序(PFC 2D)中的数值模拟结果进行了比较,验证了该模型对颗粒介质宏观各向异性蠕变行为的有效性和准确性。
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.
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