中文核心期刊
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重庆交通大学学报（自然科学版）

重庆交通大学学报（自然科学版） ›› 2017, Vol. 36 ›› Issue (7): 66-72.DOI: 10.3969/j.issn.1674-0696.2017.07.11

• 港口航道·水利水电·资源环境 • 上一篇    下一篇

考虑尺寸的三维胶结颗粒法向接触强度估算公式

刘芳1,2,3，周向楠2,3，蒋明镜1,2,3   

  1. (1.同济大学 土木工程防灾国家重点实验室，上海 200092；2.同济大学 土木工程学院 地下建筑与工程系，上海 200092； 3.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:2016-02-09 修回日期:2016-12-25 出版日期:2017-07-31 发布日期:2017-07-31
  • 作者简介:刘芳(1978—)，女，广东河源人，副教授，博士，主要从事岩土力学与工程方面的研究。
  • 基金资助:
    国家自然科学基金项目(415722675；51239010；51579178)；国家科技支撑计划课题(2013BAB06B02)；流域水循环模拟与调控国家重点实验室自主研究课题(2015ZY05)

Formulas for Estimating Size-Dependent Normal Contact Resistance of 3D Bonded Spheres

LIU Fang1, 2, 3, ZHOU Xiangnan 2, 3, JIANG Mingjing1, 2, 3   

  1. (1. State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, P. R. China; 2. Department of Underground Architecture & Engineering, School of Civil Engineering, Tongji University, Shanghai 200092, P. R. China; 3. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, P. R. China)
  • Received:2016-02-09 Revised:2016-12-25 Online:2017-07-31 Published:2017-07-31

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摘要： 粒间胶结的存在导致天然结构性土体具有独特的宏观变形和强度特性。为了研究法向加载条件下三维胶结颗粒的接触破坏规律及尺寸效应，采用有限元法模拟了理想球形胶结颗粒的法向接触力学试验，并将有限元与离散元的模拟结果进行了对比，分析了不同直径比和厚宽比情况下胶结颗粒抗拉压强度的变化规律，得到了胶结颗粒法向接触强度与胶结尺寸参数的定量关系。结果表明：胶结物的直径比和厚宽比显著影响胶结颗粒法向抗压强度，厚宽比占主导作用，抗压强度随着厚宽比增加显著降低；但胶结颗粒抗拉强度的尺寸效应不显著。

关键词: 岩土工程, 胶结材料, 接触力学, 有限元模拟, 尺寸效应

Abstract: The presence of inter-particle bonds leads to the unique macroscopic deformation and strength characteristics of natural structural soils. In order to study 3D cement particle contact failure regularity and size effect under the normal loading conditions, the contact mechanics test of ideal spherical particle cementation was simulated by finite element method. The results of the finite element simulation and those of discrete element simulation were compared. The finite element method was used to simulate normal contact response of two spheres sandwiching cementation in order to reveal the size effect on normal resistance of bonded spheres. The simulation results of finite element were compared with those of discrete element. The rule of compression/tension resistance of the bonded spheres was analyzed under different values of two dimensionless geometric parameters of the bond, i.e., diameter ratio and thickness-to-width ratio of the bond. Quantitative relationships between contact strength and cement size parameters were obtained. The results show that the compressive resistance of the bonded spheres is highly affected by the diameter ratio and the thickness-to-width ratio of the cementaneous material, and the thickness-to-width ratio plays a dominant role. The compressive resistance of the bonded spheres significantly decreases as the thickness-to-width ratio of the bond increases, while the size effect of the cement particle tensile strength is not significant.

Key words: geotechnical engineering, cementaneous material, contact mechanics, finite element simulation, size effect

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