Mechanics and fracture behavior of rocks with triangular holes: experimental and numerical studies

IF 2.8 3区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Computational Particle Mechanics Pub Date : 2024-09-22 DOI:10.1007/s40571-024-00832-w

Cheng Pan, Wanrong Liu, Xiao Wang, Xiangrui Meng, Bing Cheng, Vahab Sarfarazi

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引用次数: 0

Abstract

The mechanical behavior of rock masses is significantly influenced by the presence of internal holes. This study investigates these effects through uniaxial compression tests and two-dimensional Particle Flow Code (PFC2D) numerical simulations on sandstone samples containing triangular holes with varying apex angles. The results reveal a distinct “W” pattern in both peak strength and elastic modulus as the apex angle increases. For holes with angles less than 60°, cracks preferentially initiated at the apex and propagated along the AB side. In contrast, angles of 60° or greater resulted in crack initiation at the base corners, with damage concentrating along the BC side. This behavior underscores the combined influence of hole area and angular geometry on the strength of the specimens. Acoustic emission monitoring during testing enabled the definition of a damage variable, which was subsequently used to develop a constitutive model based on the Duncan model. The proposed model effectively captures the distinct stages in the stress–strain curves, demonstrating both accuracy and practical relevance.

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三角形孔洞岩石的力学和断裂行为：实验和数值研究

内孔的存在对岩体的力学行为有显著影响。本文通过单轴压缩试验和二维颗粒流程序（PFC2D）数值模拟，对含不同顶角三角形孔的砂岩样品进行了研究。结果表明，随着顶角的增大，峰值强度和弹性模量均呈明显的“W”型。当孔角小于60°时，裂纹优先从顶点开始，沿AB侧扩展。相比之下，60°或更大的角导致底部角的裂纹萌生，损伤集中在BC侧。这种行为强调了孔面积和角几何形状对试件强度的综合影响。测试过程中的声发射监测可以定义损伤变量，随后用于基于Duncan模型开发本构模型。该模型有效地捕捉了应力-应变曲线的不同阶段，具有较高的准确性和实用性。

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

Computational Particle Mechanics Mathematics-Computational Mathematics

CiteScore

5.70

自引率

9.10%

发文量

期刊介绍： GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate ﬂows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.