Modeling Brittle Failure in Rock Slopes Using Semi‐Lagrangian Nonlocal General Particle Dynamics

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-10-30 DOI:10.1002/nag.3882
Peng Yin, Xiao‐Ping Zhou, Jinhu Pan
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Abstract

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.
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利用半拉格朗日非局部一般粒子动力学模拟岩石斜坡的脆性破坏
非局部一般粒子动力学(NGPD)已成功用于模拟裂缝扩展和大变形问题。本文提出了半拉格朗日非局部一般粒子动力学(SL-NGPD)来解决岩石斜坡的脆性破坏问题。在 SL-NGPD 中,粒子间因变形产生的相互作用在初始构型中计算,而不连续面产生的摩擦接触相互作用在当前构型中计算。摩擦接触采用范德华力模型。开发了基于键级能量的失效准则,用于预测拉伸/压缩-剪切混合模式裂缝。在建立脆性破坏模型时,使用人工粘度和损伤修正来提高数值稳定性和准确性。SL-NGPD 范式通过自适应动态松弛和预测器-校正器方案在数值上实现了稳定的数值解。通过模拟压缩试验验证了 SL-NGPD 的稳定性和准确性。随后,研究了双瓣试样的裂缝凝聚模式,以了解节理岩坡的触发破坏机制。最后,模拟了具有阶梯路径节理的岩石斜坡的渐进破坏过程,以证明其在模拟岩石滑坡脆性破坏中的有效性和稳健性。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良好的前景和性能。
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来源期刊
CiteScore
6.40
自引率
12.50%
发文量
160
审稿时长
9 months
期刊介绍: The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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