岩土力学 ›› 2026, Vol. 47 ›› Issue (7): 2475-2488.doi: 10.16285/j.rsm.2025.0591CSTR: 32223.14.j.rsm.2025.0591

• 数值分析 • 上一篇    下一篇

堆石料与砂砾石料形状差异对缩尺效应影响的离散元法初探

李艳灵1,周伟1, 2, 3,王頔1, 2, 3,王辉2,曹万达1,马刚1, 2, 3   

  1. 1.武汉大学 水资源工程与调度全国重点实验室,湖北 武汉 430072;2.武汉大学 水工程科学研究院,湖北 武汉 430072; 3.武汉大学 水工岩石力学教育部重点实验室,湖北 武汉 430072
  • 收稿日期:2025-06-09 接受日期:2025-09-15 出版日期:2026-07-13 发布日期:2026-07-15
  • 通讯作者: 周伟,男,1975年生,博士,教授,博士生导师,主要从事库坝系统安全方面的研究。E-mail: zw_mxx@whu.edu.cn
  • 作者简介:李艳灵,女,2001年生,博士研究生,主要从事颗粒材料宏细观力学特性方面的研究。E-mail: liyanling@whu.edu.cn
  • 基金资助:
    国家自然科学基金(No.U23B20149,No.52322907,No.52179141,No.52409171)。

A preliminary study on the influence of shape differences between rockfill and gravel materials on scale effects using discrete element method

LI Yan-ling1, ZHOU Wei1, 2, 3, WANG Di1, 2, 3, WANG Hui2, CAO Wang-da1, MA Gang1, 2, 3   

  1. 1. State Key Laboratory of Water Resources Engineering and Management, Wuhan University, Wuhan, Hubei 430072, China; 2. Institute of Water Engineering Science, Wuhan University, Wuhan, Hubei 430072, China; 3. Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering, Ministry of Education, Wuhan University, Wuhan, Hubei 430072, China
  • Received:2025-06-09 Accepted:2025-09-15 Online:2026-07-13 Published:2026-07-15
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (U23B20149, 52322907, 52179141, 52409171).

摘要: 缩尺效应被认为是堆石坝变形预测不准的主要原因之一。爆破块石料与砂砾石料的缩尺效应规律不同,初步分析是因形状差异在堆积密实、颗粒破碎上表现不同,但尚缺乏完整的机制解释。考虑颗粒破碎强度的尺寸效应和配位数对破碎强度的影响,开展了缩尺前后堆石料与砂砾石料的离散元法(discrete element method,简称DEM)数值试验,基于三维扫描爆破块石料制备堆石料数值试样,将砂砾石料简化为圆球颗粒集合体。结果表明,颗粒形状对接触力链网络的影响是导致堆石料与砂砾石料缩尺效应差异的主要因素。由于不规则颗粒间咬合作用强烈,削弱了级配拓宽产生的堆积密实效应,表现出平均力学配位数、法向与切向接触力各向异性系数随之降低,导致变形模量和抗剪强度降低。圆球颗粒试样规律相反,堆积密实效应突出,接触力链网络更稳定。在圆球体系中,破碎强度的降低减弱了缩尺引起的模量变化,而在不规则颗粒试样中,这种影响则较小。

关键词: 缩尺效应, 离散元法, 堆石料, 颗粒形状

Abstract: The scale effect is considered one of the primary reasons for the inaccuracy in predicting the deformation of rockfill dams. However, the scaling behaviors of blasted rockfill and gravel materials differ significantly. Preliminary analyses suggest that this is due to particle-shape differences manifesting in packing densification and crushability, yet a comprehensive mechanistic explanation remains lacking. To address this, discrete element method (DEM) simulations were conducted on both prototype and scaled specimens of rockfill and gravel, considering the size-dependent crushing strength of particles and the effect of coordination number on particle strength. Rockfill numerical specimens were generated based on 3D-scanned blasted rock fragments, while gravel was simplified as an assembly of spherical particles. The results reveal that the particle shape’s influence on the contact force chain network is the main factor responsible for the differences in scale effects between rockfill and gravel. The strong interlocking effect among irregular particles weakens the densification effect induced by broader gradation, resulting in decreased mechanical coordination number and lower anisotropy coefficients of both normal and tangential contact forces. This ultimately leads to reductions in deformation modulus and shear strength. In contrast, spherical particle assemblies exhibit the opposite trend: enhanced packing densification, a more stable force chain network, and increased stiffness and strength with scaling. Moreover, the decrease in particle strength mitigates modulus variations induced by scaling in the spherical system, whereas this influence is less significant in the irregular particle system.

Key words: scale effect, discrete element method, rockfill material, particle shape

中图分类号: TV 641
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