Extended discontinuous deformation analysis for brittle failure simulation of transversely isotropic rocks under static and dynamic conditions

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-03-10 DOI:10.1016/j.enganabound.2025.106195

Qinglong Deng , Fei Zheng , Zhi Li , Yu-Yong Jiao

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引用次数: 0

Abstract

Discontinuous numerical methods have been widely applied to investigate rock deformation and failure behavior in rock engineering scenarios such as tunnel excavation and oil/gas exploitation. Compared to discontinuous numerical methods with explicit formulations, discontinuous deformation analysis (DDA) has the advantages of unconditional stability and strict contact convergence with its implicit formulation. However, it lacks proper implementation of specific models for mechanical analysis of layered rocks. To solve this problem, DDA is extended with transversely isotropic constitutive models. With the sub-block and artificial joints (bond) strategy, a transversely isotropic constitutive model is incorporated by solving the global motion equation in a local coordinate system. The strength anisotropy caused by the rock matrix and discontinuities is considered by adding the transversely isotropic failure criteria characterized by the sub-block stress state. The feasibility of modeling elastic and strength behavior is validated by conducting a series of numerical uniaxial compression and direct tensile tests. The proposed approach is further applied to investigate the mechanical response and fracturing characteristics under both quasi-static and dynamic loading conditions, and its accuracy is verified by comparing the experimental results in the uniaxial compression (UC) tests and split Hopkinson pressure bar (SHPB) tests.

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横向各向同性岩石静、动态脆性破坏模拟的扩展不连续变形分析

在隧道开挖和油气开采等岩石工程中，不连续数值方法已被广泛应用于研究岩石的变形和破坏行为。与具有显式形式的不连续数值方法相比，不连续变形分析（DDA）具有无条件稳定性和严格接触收敛的优点。然而，它缺乏对层状岩石力学分析的特定模型的适当实现。为了解决这一问题，将DDA扩展为横向各向同性本构模型。采用子块和人工关节（键）策略，在局部坐标系下求解全局运动方程，建立横向各向同性本构模型。通过加入以子块应力状态为特征的横向各向同性破坏准则，考虑了岩石基质和不连续面引起的强度各向异性。通过进行一系列数值单轴压缩和直接拉伸试验，验证了弹性和强度特性建模的可行性。将该方法进一步应用于准静态和动态加载条件下的力学响应和压裂特性研究，并通过单轴压缩（UC）试验和分离式霍普金森压杆（SHPB）试验结果的对比验证了该方法的准确性。

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.