Soil slope stability is significant to the safety of various geotechnical engineering structures, and the instability simulation of soil slope inevitably involves the shear band evolution. To avoid the mesh-dependence dilemma of traditional numerical methods in simulating shear band evolution, the present study develops a non-ordinary state-based peridynamics (NOSB PD) corresponding to the elastoplastic constitutive relationship with Drucker-Prager (DP) yield criterion. Significantly, the peridynamic horizon is a crucial parameter that effectively solves the mesh-dependence dilemma. A series of uniaxial compression simulations of soil block is then conducted to demonstrate the numerical accuracy and mesh independence of NOSB PD. Moreover, the relationship between shear band width and peridynamic horizon is quantitatively provided. Regarding the peridynamic (PD) horizon as a material parameter, this relationship provides a way to select the horizon size and discretization according to the shear band width of soils. Besides, the strength reduction method is embedded into the peridynamic framework to conduct the instability analysis of intact and defective soil slopes. The safety factor (FOS) is sensitive to the weak region at the slope toe. The present research somewhat provides constructive guidance for practical engineering that the soil quality and reinforcement at the slope toe deserve more attention.

中文翻译：

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近场动力层对应变局部化和土坡失稳分析的正则化效应


土坡稳定性对于各类岩土工程结构的安全具有重要意义，土坡失稳模拟不可避免地涉及剪切带演化。为了避免传统数值方法在模拟剪切带演化时的网格依赖困境，本研究开发了一种非普通基于状态的近场动力学（NOSB PD），对应于与德鲁克-普拉格（DP）屈服准则的弹塑性本构关系。值得注意的是，近场动力学视界是有效解决网格依赖困境的关键参数。然后对土块进行一系列单轴压缩模拟，以证明 NOSB PD 的数值精度和网格独立性。此外，定量地提供了剪切带宽度与近场动力学地平线之间的关系。将近场动力学（PD）层位视为材料参数，这种关系提供了一种根据土壤剪切带宽度选择层位大小和离散化的方法。此外，将强度折减法嵌入到近场动力学框架中，对完好土质边坡和缺陷土质边坡进行失稳分析。安全系数（FOS）对坡脚处的薄弱区域敏感。本研究为实际工程提供了一定的建设性指导，即坡脚处的土质和加固值得重视。