Discontinuous deformation analysis (DDA) simulations of rock fracturing failures by Voronoi sub-block elements with refinement

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-02-15 DOI:10.1016/j.enganabound.2025.106172

Youjun Ning , Daofu Zhang , Xinlian Liu

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引用次数: 0

Abstract

Discontinuous deformation analysis (DDA), a representative discontinuum-based numerical method, has been successfully developed to simulate the important problem of fracturing failures in rock mechanics through a sub-block approach. In the present work, a refinement algorithm of the Voronoi sub-block elements for DDA simulations of rock fracturing is proposed to simultaneously improve the simulation accuracy and control the computation scale through local refinement of the elements. The algorithm includes major procedures of triangular finite element division, random point distribution, Delaunay triangle generation, and Voronoi sub-block element generation. Static and dynamic simulation examples of disc, rectangular and Hopkinson specimens are simulated and quantitatively or qualitatively verified by theoretical, experimental or other numerical simulation results. Blasting-induced rock fracturing failures are simulated as an application example of the Voronoi sub-block DDA with element refinement, in which the effects of blasting shock wave and blasting gas pressure on the rock breakage ability and patterns are specially investigated to reveal the rock blasting characteristics and mechanism. All the simulation examples well indicate the capability and effectiveness to simulate rock fracturing failures by the sub-block DDA with the proposed Voronoi sub-block element refinement algorithm.

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基于Voronoi子块单元的岩石破裂破坏非连续变形分析（DDA）模拟

不连续变形分析（DDA）是一种具有代表性的基于不连续体的数值方法，它通过子块方法成功地模拟了岩石力学中重要的压裂破坏问题。本文提出了一种用于岩石压裂DDA模拟的Voronoi子块单元的细化算法，通过单元的局部细化，在提高模拟精度的同时控制计算规模。该算法包括三角形有限元划分、随机点分布、Delaunay三角形生成、Voronoi子块单元生成等主要步骤。通过理论、实验或其他数值模拟结果对圆盘、矩形和霍普金森试件的静态和动态模拟实例进行模拟，并对其进行定量或定性验证。以Voronoi子区块DDA为例，采用单元精细化方法模拟岩石爆破致裂破坏，重点研究了爆破冲击波和爆破瓦斯压力对岩石破岩能力和破岩模式的影响，揭示了岩石爆破特征和机理。仿真算例充分表明了基于Voronoi子块元细化算法的子块DDA模拟岩石破裂破坏的能力和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.