The nonlocal general particle dynamics (NGPD) has been successfully developed to model crack propagation and large deformation problems. In this paper, the semi‐Lagrangian nonlocal general particle dynamics (SL‐NGPD) is proposed to solve brittle failure in rock slopes. In SL‐NGPD, the interaction between particles due to deformation is calculated in the initial configuration, while the friction contact interaction from discontinuities is calculated in the current configuration. The Van der Waals force model is utilized for friction contact. The bond‐level energy‐based failure criterion is developed to predict tensile/compressive‐shear mix‐mode cracks. The artificial viscosity and damage correction are used to enhance the numerical stability and accuracy when modeling brittle failure. The SL‐NGPD paradigm is numerically implemented through adaptive dynamic relaxation and predictor–corrector schemes for stable numerical solutions. The stability and accuracy of SL‐NGPD are verified by simulating compression tests. Thereafter, the crack coalescence patterns of double‐flaw specimens are investigated to understand the triggering failure mechanism of jointed rock slopes. Finally, the progressive failure process of the rock slope with step‐path joints is simulated to demonstrate its validity and robustness in modeling brittle failure in rockslides. The numerical results illustrate that the proposed SL‐NGPD is promising and performant for analyzing brittle failure problems in geotechnical engineering.

中文翻译：

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使用半拉格朗日非局部一般粒子动力学模拟岩石边坡中的脆性破坏


非局部广义粒子动力学 （NGPD） 已成功开发用于模拟裂纹扩展和大变形问题。本文提出了半拉格朗日非局部广义粒子动力学 （SL-NGPD） 来解决岩质边坡的脆性破坏问题。在 SL-NGPD 中，在初始配置中计算由于变形引起的粒子之间的相互作用，而在当前配置中计算不连续性的摩擦接触相互作用。范德华力模型用于摩擦接触。开发基于粘结能的失效准则用于预测拉伸/压缩剪切混合模式裂纹。人工粘度和损伤校正用于在对脆性失效进行建模时提高数值稳定性和准确性。SL-NGPD 范式是通过自适应动态松弛和预测器-校正器方案实现的，以实现稳定的数值解。通过模拟压缩试验验证 SL-NGPD 的稳定性和准确性。此后，研究了双缺陷试件的裂纹聚结模式，以了解节理岩质边坡的触发破坏机制。最后，模拟了具有阶梯路径节理的岩石边坡的渐进破坏过程，以证明其在模拟滑坡脆性破坏方面的有效性和鲁棒性。数值结果表明，所提出的 SL-NGPD 在分析岩土工程中的脆性破坏问题方面具有很有前途且性能良好。