岩土力学 ›› 2025, Vol. 46 ›› Issue (7): 2296-2307.doi: 10.16285/j.rsm.2024.1218CSTR: 32223.14.j.rsm.2024.1218

• 数值分析 • 上一篇    下一篇

软弱层岩体间隔破裂现象的近场动力学方法模拟

马鹏飞1,张艺晨2,袁超1, 3,徐茂洲4,郭小雄5   

  1. 1.山东大学 岩土与地下工程研究院,山东 济南 250014;2.同济大学 土木工程防灾国家重点实验室,上海 200092; 3.山东大学 未来技术学院,山东 济南 250002;4.谢菲尔德大学 工程学院,英国 谢菲尔德; 5.高速铁路轨道系统全国重点实验室,北京100081
  • 收稿日期:2024-10-08 接受日期:2024-11-26 出版日期:2025-07-10 发布日期:2025-07-09
  • 通讯作者: 袁超,男,1987年生,博士,教授,博士生导师,主要从事岩土工程数值模拟方面的研究。E-mail: chao.yuan@sdu.edu.cn
  • 作者简介:马鹏飞,男,1994年生,博士后,主要从事岩土工程领域数值模拟方面的研究。E-mail: mapengfeisdu@163.com
  • 基金资助:
    山东省自然科学基金资助项目(No.ZR2023QE337);国家自然科学基金项目(No.52478399);国家创新平台开放基金(No.2022YJ124)。

Simulations of interval damage phenomenon in weak rock mass using the improved peridynamic method

MA Peng-fei1, ZHANG Yi-chen2, YUAN Chao1, 3, XU Mao-zhou4, GUO Xiao-xiong5   

  1. 1. Institute of Geotechnical and Underground Engineering, Shandong University, Jinan, Shandong 250014, China; 2. State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China; 3. School of Future Technology, Shandong University, Jinan, Shandong 250061, China; 4. Faculty of Engineering, University of Sheffield, Sheffield, United Kingdom; 5. National Key Laboratory of High Speed Railway Track System, Beijing 100081, China
  • Received:2024-10-08 Accepted:2024-11-26 Online:2025-07-10 Published:2025-07-09
  • Supported by:
    This work was supported by Shandong Provincial Natural Science Foundation (ZR2023QE337), the National Natural Science Foundation of China (52478399) and the National Innovation Platform Open Fund (2022YJ124).

摘要: 在经典近场动力学基础上利用变形等价关系重新推导了非局部力密度,结合非局部微分算子理论降低边界处的计算误差,基于此构建了应力-应变求解模型,解决了传统理论在应力分析方面的局限性,同时引入应变能密度(strain energy density)刚度折减理论,建立裂纹处介质的力学参数与残余应变能之间的关联。本方法被用于模拟软弱层岩体裂隙间的应力分布情况,并通过与先前研究结果的对比验证了其有效性和适用性。此外,研究了完整层状岩体中软弱层条形间隔破裂的演化过程。结果表明,软弱层岩体裂缝间距与厚度比值对力学状态影响显著,随着比值不断增加,裂纹之间的应力值整体由压应力转变为拉应力。软弱层的等间距破裂现象包括微裂隙的扩展、间隔裂纹的形成以及裂隙逐渐饱和等过程。外荷载作用下引发软弱层与基层之间的损伤以及岩层整体破裂。本方法能够有效描述层状岩体的间隔破裂过程,显示出良好的应用前景。

关键词: 层状岩体, 近场动力学, 裂纹扩展, 间隔破裂

Abstract: On the basis of classical peridynamics, the nonlocal force density is re-derived using deformation equivalence. Combined with the theory of nonlocal differential operators, this approach reduces the calculation error at the boundary. A stress-strain solution model is constructed to address the limitations of traditional theories in stress analysis. Meanwhile, the strain energy density stiffness reduction theory is introduced to establish the correlation between the mechanical parameters of the medium at the crack and the residual strain energy. The proposed method is used to simulate the stress distribution in layered rock mass with prefabricated interval fractures. The results are compared with previous findings to verify its effectiveness and applicability. Furthermore, the evolution process of strip interval fractures in the middle weak layer of complete layered rock mass is studied. The results show that the ratio of crack spacing to thickness significantly affects the mechanical state of the layered rock mass. As the ratio increases, the stress between existing cracks transitions from compressive to tensile stress. The equidistant fracture phenomenon in the weak layer includes processes such as microcrack propagation, the formation of interval fractures, and gradual crack saturation. Continuous loading causes damage between the weak layer and the base layer, as well as overall failure of the rock formation. This method effectively describes the interval fracture process of layered rock mass and demonstrates good application prospects.

Key words: layered rock mass, peridynamics, crack propagation, interval fracture

中图分类号: TU 451
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