MA Peng-fei, ZHANG Yi-chen, YUAN Chao, et al. Simulations of interval damage phenomenon in weak rock mass using the improved peridynamic method[J]. 2025, 46(7): 2296-2307.
DOI:
MA Peng-fei, ZHANG Yi-chen, YUAN Chao, et al. Simulations of interval damage phenomenon in weak rock mass using the improved peridynamic method[J]. 2025, 46(7): 2296-2307.DOI: 10.16285/j.rsm.2024.1218.
Simulations of interval damage phenomenon in weak rock mass using the improved peridynamic method
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。
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.