椭圆形颗粒堆积体模拟颗粒材料力学性能的离散元数值方法

›› 2011, Vol. 32 ›› Issue (S1): 713-0718.

椭圆形颗粒堆积体模拟颗粒材料力学性能的离散元数值方法

李立青^1，2，蒋明镜^1，2，吴晓峰^1，2

1. 同济大学地下建筑与工程系，上海 200092；2. 同济大学岩土及地下工程教育部重点实验室，上海 200092

收稿日期:2010-11-30 出版日期:2011-05-15 发布日期:2011-05-16
作者简介:李立青，男，1980年生，博士研究生，主要从事砂土的室内试验、数值模拟及本构理论等方面的研究
基金资助:
国家自然科学基金资助（No. 10972158）；国家杰出青年基金资助（No. 51025932）

A developed discrete element model NS2D for simulating mechanical properties of elliptical particles assemblages

LI Li-qing^{1, 2}, JIANG Ming-jing^{1, 2}, WU Xiao-feng^{1, 2}

1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China

Received:2010-11-30 Online:2011-05-15 Published:2011-05-16

摘要/Abstract

摘要： 针对离散元中圆形颗粒模拟出的内摩擦角小于真实砂土内摩擦角的缺陷，将已有NS2D离散元程序中的圆形颗粒参量改进为椭圆形颗粒参量，形成改进的NS2D程序。介绍了改进后NS2D程序的基本力学模型，详细推导了程序中椭圆颗粒间以及椭圆颗粒与墙之间接触点的力-位移关系。利用改进后的离散元程序分别模拟了恒定围压下长短轴比例分别为1.1:1、1.4:1，孔隙比均为0.19的椭圆颗粒堆积体的双轴试验，所得的内摩擦角在真实砂土的内摩擦角范围之内，且其应力特征与已有成果吻合良好，证明了改进后的NS2D离散元程序能够模拟分析真实砂土的力学性能

关键词: 离散单元法, 椭圆颗粒, 力学模型, 验证

Abstract: The discrete element method (DEM) simulation of discs leads to typically low internal friction angles compared with real sand. The paper introduces a developed discrete element program NS2D, of which the subject is two-dimensional assemblages of elliptical particles. The basic contact models of the developed NS2D program are described; and the force-displacement formulations of the contacts of ellipse-ellipse and ellipse-wall have been deduced. Assemblages of elliptical particles with aspect ratio1.1:1 and 1.4:1 were generated with undercompaction method (UCM); then consolidated isotropically, and then sheared with biaxial compression at constant confining pressure, respectively. Their mechanical responses are both qualitatively and quantitatively in good agreement with the reported literature; and the simulated internal friction angles fall within the typical range of real sand. Therefore, the developed DEM program NS2D can be used to study the mechanical properties of real sand.

Key words: discrete element method, elliptical particles, mechanical model, validation

中图分类号:

TU 443

李立青，蒋明镜，吴晓峰. 椭圆形颗粒堆积体模拟颗粒材料力学性能的离散元数值方法[J]. , 2011, 32(S1): 713-0718.

LI Li-qing , JIANG Ming-jing , WU Xiao-feng. A developed discrete element model NS2D for simulating mechanical properties of elliptical particles assemblages[J]. , 2011, 32(S1): 713-0718.

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