岩土力学 ›› 2025, Vol. 46 ›› Issue (5): 1620-1631.doi: 10.16285/j.rsm.2024.1109CSTR: 32223.14.j.rsm.2024.1109

• 数值分析 • 上一篇    下一篇

基于内聚力单元的土石混合体细观数值方法

张佩1,杨承儒1,侯世伟2,杜修力3   

  1. 1. 北京建筑大学 土木与交通工程学院,北京 102616;2. 沈阳建筑大学 土木工程学院,辽宁 沈阳 110168; 3. 北京工业大学 城市与工程安全减灾教育部重点实验室,北京 100124
  • 收稿日期:2024-09-09 接受日期:2025-03-10 出版日期:2025-05-06 发布日期:2025-05-07
  • 通讯作者: 侯世伟,女,1982年生,博士,副教授,主要从事岩土防灾减灾等方面研究。E-mail: houshiwei@sjzu.edu.cn
  • 作者简介:张佩,女,1988年生,博士,副教授,主要从事隧道与地下工程领域研究。E-mail: zhangpei@bucea.edu.cn
  • 基金资助:
    国家自然科学基金项目(No. 51908023,No. 52025084);北京市自然科学基金项目(No. 8232007);北京市教委科研项目——科技计划一般项目(No. KM202310016013);北京建筑大学金字塔人才培养工程项目(No. JDYC20200312)。

A mesoscopic numerical method for simulating soil-rock mixture based on cohesive zone element

ZHANG Pei1, YANG Cheng-ru1, HOU Shi-wei2, DU Xiu-li3   

  1. 1. School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 102616, China; 2. School of Civil Engineering, Shenyang Jianzhu University, Shenyang, Liaoning 110168, China; 3. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China
  • Received:2024-09-09 Accepted:2025-03-10 Online:2025-05-06 Published:2025-05-07
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (51908023, 52025084), the Natural Science Foundation of Beijing (8232007), the Science and Technology General Project of Beijing Municipal Education Commission (KM202310016013) and the Pyramid Talent Cultivation Project of Beijing University of Civil Engineering and Architecture (JDYC20200312).

摘要: 土石混合体是一种由强度较高的块石和强度较低的土体基质组成的非均质材料,荷载作用下其细观组分具有复杂的相互作用。结合土石混合体的细观结构特征,将土体与块石界面以及土体基质内部视为材料的薄弱位置,基于内聚力模型描述该薄弱位置的裂缝萌生、扩展及断裂,编制内聚力单元插入程序,进而结合材料直剪试验结果,分别给出土体基质内部内聚力单元与土石界面内聚力单元的材料参数确定方法,发展了基于内聚力模型的土石混合体细观数值方法。在此基础上,开展不同细观结构的土石混合体双轴压缩数值试验,结合内聚力单元失效状态,明确不同细观因素对材料宏细观力学特性的影响规律。结果表明:内聚力单元剪切方向最大允许名义应力可由直剪试验荷载位移曲线峰值剪切应力确定,最大有效位移可由最大剪切位移的1/5进行确定,切向摩擦系数可由残余剪切应力与法向应力的比值确定。建立的基于内聚力单元的土石混合体细观数值方法,可较好地描述材料的力学特性和变形规律,特别是能反映出低围压下的材料应变软化行为。

关键词: 土石混合体, 内聚力模型, 细观数值方法, 界面力学行为, 应变软化

Abstract:

The soil-rock mixture is a heterogeneous material consisting of high-strength rocks and a low-strength soil matrix, with complex interactions among its mesoscopic components under loading. Considering the mesoscopic structural characteristics, the interface between soil and rock, as well as the interior of the soil matrix, are identified as the material’s weak points. Using the cohesive model, the initiation, expansion, and fracture of cracks at weak points are described, and a cohesive element insertion program is developed. Subsequently, using the results of direct shear tests, the material parameters for the cohesive elements in the soil matrix and at the soil-rock interface are determined. A mesoscopic numerical method for soil-rock mixtures based on the cohesive model is then established. Based on this, biaxial compression numerical tests on soil-rock mixtures with varying mesoscopic structures were conducted. The influence of different mesoscopic factors on mechanical properties was clarified by analyzing the failure state of cohesive elements. Results indicate that the maximum nominal stress in shear direction of cohesive elements can be determined by the peak shear stress of the load-displacement curve in direct shear tests. The maximum effective displacement is determined by one-fifth of the maximum shear displacement, and the tangential friction coefficient is calculated by the ratio of residual shear stress to normal stress. The numerical method based on cohesive elements can effectively describe the mechanical properties and deformation behavior of soil-rock mixtures, particularly for the strain softening behavior under low confining pressure.

Key words: soil-rock mixture, cohesive zone model, a mesoscopic numerical method, mechanical behavior of interface, strain softening

中图分类号: TU432
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