Macroscopic and mesoscopic correlation of granular materials based on rolling resistance linear contact model

WANG Yi-wei; LIU Run; SUN Ruo-han; XU Ze-wei

doi:10.16285/j.rsm.2021.0918

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Macroscopic and mesoscopic correlation of granular materials based on rolling resistance linear contact model

更新时间：2026-06-25

- Macroscopic and mesoscopic correlation of granular materials based on rolling resistance linear contact model
- Vol. 43, Issue 4, Pages: 945-956(2022)
- 作者机构：
  
  天津大学水利工程仿真与安全国家重点实验室,天津,300072
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2021.0918
  CLC： TU441
- Online First：15 April 2022，
  
  Published：2022
- 稿件说明：
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WANG Yi-wei, LIU Run, SUN Ruo-han, et al. Macroscopic and mesoscopic correlation of granular materials based on rolling resistance linear contact model[J]. 2022, 43(4): 945-956.
DOI：

WANG Yi-wei, LIU Run, SUN Ruo-han, et al. Macroscopic and mesoscopic correlation of granular materials based on rolling resistance linear contact model[J]. 2022, 43(4): 945-956. DOI： 10.16285/j.rsm.2021.0918.

摘要

接触模型的宏?细观参数标定是成功使用离散元方法的关键。在离散元的接触模型中线性接触模型与抗转线性接触模型均可用于模拟砂性土的力学行为，其中抗转线性接触模型在模拟密砂的剪胀性方面具备优势。采用抗转线性接触模型对室内密实砂土三轴试验进行了离散元模拟，验证了抗转线性接触模型的可靠性；进而系统分析了颗粒间摩擦系数、刚度比和抗转动系数等细观参数与砂土峰值内摩擦角、残余内摩擦角、峰值剪胀角等宏观参数的相关关系并进行了验证；揭示了偏应力作用下，细观参数对密实砂土试样内部剪切带宽度与倾角变化的影响规律，提出了考虑剪胀角的剪切带倾角经验公式。通过研究建立了抗转线性接触模型宏?细观参数的量化关系并给出了标定参数的具体流程图，提出了快速标定宏观参数的方法并应用实例进行了验证，为采用抗转线性接触模型精准模拟密实砂土的力学特性提供依据。

Abstract

Macro-meso parameter calibration of the contact model is the key to successful use of the discrete element method. Linear contact model and rolling resistance linear contact model in the discrete element contact model can be used to simulate the mechanical behavior of sand

and the rolling resistance linear contact model has advantages in simulating the dilantancy of dense sand. Discrete element simulation is carried out for triaxial test of dense sand by using the rolling resistance linear contact model

which verifies the reliability of the rolling resistance linear contact model. Furthermore

the correlations between the meso-parameters such as inter-particle friction coefficient

stiffness ratio and rolling resistance coefficient and the macro-parameters such as peak internal friction angle

residual internal friction angle and peak angle of dilantancy of sand are systematically analyzed. The influence of meso-parameters on shear band width and inclination of dense sand under deviatoric stress is revealed. An empirical formula of shear band inclination angle considering dilatancy angle is proposed. Quantitative relationship between macro and meso parameters of rolling resistance linear contact model is established through research

which providing basis for precisely simulating mechanical characteristics of dense sand by using rolling resistance linear contact model. The flow chart of calibration is given. A method for fast calibration of macroscopic parameters is proposed and verified by an example.

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