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Effect of cavity-shaped holes on the initiation and propagation of hydraulic fracturing cracks in coal seam: a numerical study 空腔型孔洞对煤层水力压裂裂缝起裂与扩展影响的数值研究
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-21 DOI: 10.1007/s40571-025-00961-w
Jiabin Mo, Zhizhong Jiang, Guiyi Wu, Zhijie Wen, Quangui Li, Yu Liu, Zhichao Zhang, Jinhui Li, Mingying Wang

Hydraulic fracturing is a pivotal technology for enhancing reservoir permeability and is extensively utilized in the production of coal seam gas. In soft coal seams, drilling operations can precipitate coal and gas blowouts, forming a cavity at the base of the drill hole. However, the effect of this cavity on the initiation and propagation of hydraulic cracks remains inadequately understood. This study employs the discrete element method in conjunction with the acoustic emission moment tensor algorithm to investigate how the cavity angle α impacts fracture propagation. The findings indicate that an increase in cavity angles correlates with a rise in the number of branch fractures observed, due to the increase in the projection area Sh of the cavity in the minimum horizontal principal stress direction. Additionally, as the cavity angle increased, there was a noted increase in initiation pressure and the statistical magnitude of acoustic emission events. Moreover, the spatial distribution fractal dimension D of acoustic emission events logarithmically increased with α. The b value of acoustic emissions escalated with α, reaching its maximum at α = 60°, where the stimulated influence area was maximized. These findings suggest that cavity-shaped holes can significantly enhance the complexity of hydraulic fractures, thereby facilitating a more extensive fracture network within coal seams, which is crucial for effective gas extraction.

水力压裂是提高储层渗透率的关键技术,在煤层气开采中得到了广泛应用。在软煤层中,钻井作业可能会导致煤和瓦斯井喷,在钻孔底部形成一个空腔。然而,该空腔对水力裂缝的起裂和扩展的影响仍未得到充分的了解。本文采用离散元法结合声发射矩张量算法研究空腔角α对裂缝扩展的影响。结果表明,由于在最小水平主应力方向空腔投影面积Sh增大,空腔角的增大与分支裂缝数量的增加有关。此外,随着空腔角的增加,起爆压力和声发射事件的统计量级也有明显的增加。声发射事件的空间分布分形维数D随α的增加呈对数增长。声发射b值随α增大而增大,在α = 60°处达到最大值,此时受激影响面积最大。这些发现表明,空腔型孔洞可以显著提高水力裂缝的复杂性,从而促进煤层内更广泛的裂缝网络,这对有效开采天然气至关重要。
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引用次数: 0
Stress, displacement, and crack evolution of top-coal layers in high-intensity repeated mining with extra-thick coal seam 特厚煤层高强度重复开采顶煤层应力、位移及裂缝演化
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-21 DOI: 10.1007/s40571-025-00959-4
Huayong Lv, Zhanbo Cheng, Fei Liu, Weijie Wei

A novel two-stage mining method, involving large-height mining of the medium layer followed by top-coal caving in the lower layer, has recently been applied to extremely thick coal seams (> 20 m). Throughout the mining process, the top-coal layer undergoes two distinct stages of disturbance and failure, influenced by multiple factors that impact mining efficiency. Based on geological conditions in western China, this study employs numerical simulations to analyze the impact of coal seam burial depth, medium layer thickness, and its location on top-coal movement and pressure distribution under high-intensity repeated mining. The results reveal the formation of a strip-like stress zone and a wide-bottomed inverted funnel displacement field in the top-coal layer during medium layer mining, with maximum stress and subsidence reaching approximately 34.7 MPa and 3 m, respectively. During the lower layer mining stage, crack propagation and coal fragmentation enhance top-coal caving, forming a sawtooth-shaped displacement boundary. Additionally, maximum top-coal subsidence increases to 5.3–7.3 m as burial depth and medium layer mining height increase. These findings suggest that initiating the first mining face in the middle-lower section of the coal seam, where top-coal stress is highest, promotes efficient coal breakage and smooth caving.

最近,一种新颖的两阶段开采方法被应用于极厚煤层(> 20 m),即中间层大高度开采,下层放顶煤。在整个开采过程中,顶煤层经历了扰动和破坏两个阶段,受多种影响开采效率的因素影响。基于西部地区的地质条件,采用数值模拟的方法,分析了高强度重复开采条件下,煤层埋深、中厚及其位置对顶煤移动和压力分布的影响。结果表明:在中层开采过程中,顶煤形成条形应力带和宽底倒漏斗位移场,最大应力约为34.7 MPa,最大沉降约为3 m;在下采阶段,裂隙扩展和煤层破碎加剧了顶煤的冒落,形成锯齿形位移边界。随着埋深和中层开采高度的增加,顶煤最大沉陷增大到5.3 ~ 7.3 m。综上所述,在顶煤应力最大的煤层中下段开启首采工作面,有利于有效破煤和顺利放煤。
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引用次数: 0
Ideal fracture network morphology study of hard rocks after improving cuttability by hydraulic fracturing 水力压裂提高可切削性后硬岩理想裂缝网络形态研究
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-19 DOI: 10.1007/s40571-025-00964-7
Wentao Hou, Dan Ma, Zhenhua Li, Jixiong Zhang, Qiang Li

The utilization of hydraulic fracturing technology to create an intricate network of hydraulic fractures in hard rocks to improve its cuttability, subsequently followed by the non-explosive mechanized mining through tunnel boring machines, is poised to emerge as a novel production paradigm for hard rock mines. In this study, a discrete element model of mechanized mining assisted by hydraulic fracturing techniques for hard rock cutting was established, and the evolution characteristics of the peak cutting force (PCF) of rock cutting recorded by drill bit after hydraulic fracturing were explored under various variables. Based on this, the hydraulic fractures recognition system was developed, wherein the hydraulic fractures network was projected onto the X/Y axis. The results demonstrate that the distance between the pressure hole and the top boundary (DT) is an important factor influencing the average cutting force of rock. Furthermore, a significant improvement in cuttability is observed at DT = 50 mm. Among all variables, the angle of guiding groove in double hole (DGA) has the most significant impact on rock cutting. When DGA = 20°, the PCF reaches the lowest value among all variables, and the hydraulic fractures are regarded as the ideal morphology of hydraulic fracture network under all variables. In terms of its longitudinal projection distribution, hydraulic fractures generate a central projection and gradually diminishes to zero pixels on both sides. Horizontally, the hydraulic fracture is distributed all over the horizontal direction of the rock, resulting in a double-peaked projection distribution at the two pressure holes.

利用水力压裂技术在硬岩中形成复杂的水力裂缝网络,以提高其可切削性,随后通过隧道掘进机进行非爆炸机械化开采,有望成为硬岩矿山的一种新的生产模式。本文建立了水力压裂技术辅助下机械化开采硬岩切削的离散元模型,探讨了水力压裂后钻头记录的岩石切削峰值切削力(PCF)在不同变量下的演化特征。在此基础上,开发了水力裂缝识别系统,将水力裂缝网络投影到X/Y轴上。结果表明,压力孔与顶边界的距离(DT)是影响岩石平均切削力的重要因素。此外,在DT = 50 mm处,可切削性有了显著改善。在所有变量中,双孔导向槽角度(DGA)对岩石切割的影响最为显著。当DGA = 20°时,PCF在所有变量中达到最小值,水力裂缝是所有变量下水力裂缝网络的理想形态。在纵向投影分布上,水力裂缝产生一个中心投影,并在两侧逐渐减小至零像素。在水平方向上,水力裂缝分布在岩石的整个水平方向上,在两个压力孔处形成双峰投影分布。
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引用次数: 0
A peridynamic plastic model for hydrogen-related casing pipe damage of the underground hydrogen storage 地下储氢库储氢套管损伤的动态塑性模型
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-17 DOI: 10.1007/s40571-025-00945-w
Zhuang Chen, Xinhao Yu, Diansen Yang

Underground hydrogen storage (UHS) is an important way to alleviate the fluctuating renewable energy production. But the hydrogen embrittlement affects the efficient and safe operation of UHS. In this study, a peridynamic plastic hydrogen embrittlement model (PDPHE model) is developed to analyze the hydrogen-related damage of the UHS. The proposed PDPHE model can capture the full process of the hydrogen-assisted crack propagation, including the crack initiation and the crack propagation. The influences of hydrogen diffusion and plastic deformation on the damage nucleation are considered in the proposed model. To improve the computing efficiency, parallel computing is applied in the numerical simulation by using the CUDA framework from the NVIDIA. The numerical examples investigate the hydrogen-assisted crack propagation of mode I and the complex mode. The validity and the efficiency of the proposed PDPHE in simulating the damage caused by the hydrogen embrittlement effect are validated. The hydrogen-related damage of the UHS casing pipe is numerically analyzed. And the numerical results indicate that the applied load and the initial applied hydrogen concentration have an impact on the crack nucleation and the propagation speed.

地下储氢是缓解可再生能源生产波动的重要途径。但氢脆影响了UHS的高效安全运行。为了分析超高压系统的氢相关损伤,建立了环动力塑性氢脆模型(PDPHE)。所提出的PDPHE模型能够完整地描述氢辅助裂纹扩展的全过程,包括裂纹萌生和裂纹扩展。该模型考虑了氢扩散和塑性变形对损伤成核的影响。为了提高计算效率,利用NVIDIA的CUDA框架将并行计算应用于数值模拟中。数值算例研究了I型和复模态的氢辅助裂纹扩展。验证了所提出的PDPHE模拟氢脆效应损伤的有效性和有效性。对超高压套管的氢致损伤进行了数值分析。数值结果表明,外加载荷和初始氢浓度对裂纹形核和扩展速度有影响。
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引用次数: 0
Shear characteristics and damage mechanisms of the bolt–grout interface under cyclic shear loading 循环剪切荷载作用下锚杆-浆液界面剪切特性及破坏机理
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-15 DOI: 10.1007/s40571-025-00953-w
Sunhao Zhang, Yujing Jiang, Hanfang Zheng, Xuezhen Wu, Hongbin Chen

The rock bolt–grout interface (BGI) represents the weakest link in anchorage systems. Under cyclic loading, continuous slip and closure at the interface lead to degradation of its load-bearing capacity and fatigue damage. To investigate the fatigue shear behavior of the BGI, laboratory shear tests were conducted to provide a basis for calibrating the mechanical parameters in simulations. Subsequently, a series of numerical simulations of cyclic shear on the BGI were performed. The number of cracks increased in a stepwise manner over time, initially concentrated on the left side of the BGI and then gradually extending to the right, ultimately resulting in through-cracks. High frequency, high amplitude, and high stress levels accelerated crack extension, weakening the bonding strength at the BGI. The introduction of irreversible strain for a quantitative analysis of the fatigue process revealed that increases in frequency, amplitude, and maximum shear stress levels significantly accelerated damage accumulation and shortened fatigue life. Additionally, the direct shear test with an amplitude of 0 revealed creep characteristics, with initial shear displacement increasing steadily before accelerating due to damage accumulation. Fitting analysis indicated that increases in frequency, amplitude, and maximum shear stress level significantly raised the initial shear displacement and accelerated its growth rate.

锚杆-浆液界面是锚固系统中最薄弱的环节。在循环荷载作用下,界面处的持续滑移和闭合导致其承载能力下降和疲劳损伤。为了研究BGI的疲劳剪切行为,进行了室内剪切试验,为模拟中力学参数的标定提供依据。在此基础上,对BGI进行了一系列循环剪切数值模拟。随着时间的推移,裂缝的数量逐步增加,最初集中在华大基因的左侧,然后逐渐向右侧延伸,最终形成贯通裂缝。高频、高振幅和高应力水平加速了裂纹扩展,削弱了BGI处的结合强度。引入不可逆应变对疲劳过程进行定量分析表明,频率、振幅和最大剪切应力水平的增加显著加速了损伤积累,缩短了疲劳寿命。振幅为0的直剪试验显示出蠕变特征,初始剪切位移逐渐增大,但由于损伤积累而加速。拟合分析表明,频率、幅值和最大剪应力水平的增加显著提高了初始剪切位移,加快了初始剪切位移的增长速度。
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引用次数: 0
Contribution to cemented body strength by crushed stone with different particle sizes and contents: insights from PFC3D simulations 不同粒径和含量的碎石对胶结体强度的贡献:来自PFC3D模拟的见解
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-11 DOI: 10.1007/s40571-025-00954-9
Zhenghan Qin, Yong Yuan, Xin Xu, Zhenbin Mao, Yong Li, Ziang Zhang, Zhongshun Chen, Bo Li

The cemented body formed by cement-based materials and crushed stone after cementing is a brittle material, and the content and particle sizes of the crushed stone cause the specimens to show different damage patterns. In order to quantitatively study the effect of crushed stone content and particle sizes on the strength of cemented bodies, in this paper, crushed stone cemented body (CSCB) were prepared using crushed stone (CS), aluminate cement (AC), fly ash (FA), alkali-activated. The real shape of crushed stone was obtained and the numerical model was constructed using 3D scanning modeling, the fine-scale parameters of the PFC numerical model were calibrated and calibrated according to the experimentally measured stress–strain curves, and a series of specimens were constructed for crushed stone content and crushed stone particle sizes. The uniaxial compressive strength, crack extension and distribution pattern, high and low stress force chain distribution, and contact force fabric characteristics of specimens with different crushed stone content and crushed stone particle sizes under the same axial loading conditions were investigated. The results show that (1) the strength of the specimen and the total number of cracks produced by the specimen show a negative correlation, the distribution of internal cracks in the specimen with high strength is concentrated and dominated by one main crack with a lower total number of cracks, and the number of cracks in the specimen with low strength is higher and the distribution is dispersed. The development and expansion of cracks is the main reason for the final destruction of the cemented body. (2) The internal contact forces are redistributed after the specimen is loaded, and the number of high stress force chains accounted for determines the compressive strength of the specimen. With the increase in crushed stone content, the strength shows a first increase and then decrease. (3) Crushed stone content in the range of 50–60% contributes the most to the strength of the specimen. The effect of crushed stone particle sizes on the strength is more complicated, the strength of crushed stone cemented body of 3–5 mm and 5–7 mm particle sizes is larger, and the effect of contact between cement and crushed stone is good, and the effect of internal cement and crushed stone cementation is poor in the specimens with particle sizes of 6–8 mm and 7–9 mm.

水泥基材料与胶结后的碎石形成的胶结体是一种脆性材料,碎石的含量和颗粒大小使试件呈现出不同的损伤模式。为了定量研究碎石掺量和粒径对胶结体强度的影响,本文采用碎石(CS)、铝酸盐水泥(AC)、粉煤灰(FA)、碱活化制备了碎石胶结体(CSCB)。采用三维扫描建模方法获取碎石的真实形态并构建数值模型,根据实验测量的应力-应变曲线对PFC数值模型的细尺度参数进行校正和标定,并构建了一系列碎石含量和碎石粒度的试样。研究了相同轴向加载条件下不同碎石掺量和碎石粒径试件的单轴抗压强度、裂纹扩展与分布规律、高低应力链分布及接触力组构特征。结果表明:(1)试件强度与试件产生的裂纹总数呈负相关关系,高强度试件内部裂纹分布集中且以1条主裂纹为主,裂纹总数较低;低强度试件内部裂纹数量较多且分布较分散。裂纹的发展和扩展是导致胶结体最终破坏的主要原因。(2)试件加载后内部接触力重新分布,高应力链占比的多少决定了试件的抗压强度。随着碎石掺量的增加,强度呈现先增加后降低的趋势。(3)碎石含量在50 ~ 60%范围内对试件强度贡献最大。碎石粒径对强度的影响较为复杂,3-5 mm和5-7 mm粒径的碎石胶结体强度较大,水泥与碎石的接触效果较好,6-8 mm和7-9 mm粒径的试件内部水泥与碎石胶结效果较差。
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引用次数: 0
An arbitrary fiber orientation peridynamic model of composite laminates 复合材料层合板的任意纤维取向周动力学模型
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-10 DOI: 10.1007/s40571-025-00927-y
Xuekun Zhang, Weicheng Gao

Fiber characterization is a major challenge in conventional peridynamic (PD) simulations since the regular discretized grid restricts the direction of bond-pairs between material points. In this work, a new computational model for composite materials with arbitrary fiber orientations (AFOM) is proposed to extend the application scope of conventional PD models in engineering structures. In order to match the practical carbon fiber structure, the fiber bond is analyzed as a special type of research object in AFOM. The most unique feature is that two types of material points are utilized to model a composite structure, and a mapping relation is proposed to achieve data exchange for these component materials. Thanks to this operation, the developed AFOM can remove the limitation of conventional bond-based or ordinary state-based PD in terms of reinforcement characteristics, and the deformation and progressive damage behaviors of composite materials with general fiber orientations can be easily captured. It has been demonstrated from the deformation examples that the proposed AFOM can describe the anisotropic properties of composite structures with general layups well. The damage examples of composite laminates further demonstrate that the proposed AFOM can adaptively replicate the failure characteristics of anisotropic materials without any theoretical limitations.

由于规则的离散网格限制了材料点之间键对的方向,因此纤维表征是传统的环动力学(PD)模拟中的一个主要挑战。本文提出了一种新的任意纤维取向复合材料(AFOM)计算模型,以扩展传统PD模型在工程结构中的应用范围。为了与实际碳纤维结构相匹配,在AFOM中,纤维键作为一种特殊类型的研究对象进行了分析。该方法最大的特点是利用两种类型的材料点来建模复合结构,并提出映射关系来实现这些组成材料之间的数据交换。由于这种操作,所开发的AFOM可以消除传统基于键合或普通基于状态的PD在增强特性方面的限制,并且可以很容易地捕获具有一般纤维取向的复合材料的变形和渐进损伤行为。变形算例表明,该方法能较好地描述具有一般层位的复合材料结构的各向异性。复合材料层合板的损伤实例进一步表明,该方法可以自适应地复制各向异性材料的破坏特征,不受理论限制。
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引用次数: 0
Research on the fracture properties and collaborative mechanism of hole-bolt composite structures using discrete element analysis 基于离散元分析的孔栓复合结构断裂特性及协同机理研究
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-10 DOI: 10.1007/s40571-025-00936-x
Yuliang Zhang, Miao Chen, Xinping Li, Xiaoshan Wang, Zihao Liu, Can Xiao, Dan Zheng, Jun Zhu

The stability of the hole-bolt composite structure (HBCS) is crucial for controlling the surrounding rock in engineering. Based on the experimental results, the discrete element analysis was employed to investigate the fracture properties and collaborative mechanism of HBCS. Initially, the theoretical analysis indicates that the stress within the surrounding rock around the pressure relief hole is influenced by the rock mass’s properties and the spatial distance. The mechanical response observed in the models is consistent with the results from physical tests. Observations of fracture suggest that a higher bolt pre-tightening force promotes the coalescence of tensile cracks between the hole and bolt. In contrast, increased hole-bolt spacing leads to more discontinuous cracks. Data monitored using measuring balls show that the stress around the pressure relief hole initially increases as hole-bolt spacing rises, while it will diminish on the upper and horizontal sides of the hole. Furthermore, stress nephograms illustrate a proportional relationship between the stress around the bolt and the bolt pre-tightening force, with an expanding low-stress area occurring as hole-bolt spacing increases. The variations in bolt force further corroborate that larger hole-bolt spacing enhances the reinforcement capacity of the bolt. These findings demonstrate that the hole-bolt collaborative mechanism enables the bolt to achieve optimal reinforcement effectiveness, while maximizing the pressure relief capabilities of the pressure relief hole, thereby enhancing the strength and stiffness of the HBCS. This research provides critical insights for controlling the stability control of surrounding rock in high-stress roadways.

在工程中,孔杆复合结构的稳定性是控制围岩的关键。在实验结果的基础上,采用离散元分析方法研究了HBCS的断裂特性及其协同机理。首先,理论分析表明,卸压孔周围围岩内部应力受岩体性质和空间距离的影响。模型中观察到的力学响应与物理试验结果一致。断裂观察表明,较高的螺栓预紧力促进孔与螺栓之间的拉伸裂纹合并。相反,孔栓间距的增加会导致更多的不连续裂缝。使用测量球监测的数据表明,随着孔与螺栓间距的增大,泄压孔周围的应力最初会增加,而在孔的上部和水平侧,应力会减小。此外,应力云图显示了螺栓周围的应力与螺栓预紧力之间的正比关系,随着孔-螺栓间距的增加,低应力区域不断扩大。锚杆力的变化进一步证实了较大的孔-锚杆间距增强了锚杆的加固能力。这些结果表明,孔-螺栓协同机制使锚杆达到最佳的配筋效果,同时最大限度地发挥泄压孔的泄压能力,从而提高HBCS的强度和刚度。该研究为高应力巷道围岩稳定性控制提供了重要的理论依据。
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引用次数: 0
Generation of pairs of ellipses and ellipsoids from distributions in parameter space 参数空间分布中椭圆和椭球对的生成
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-09 DOI: 10.1007/s40571-025-00941-0
Gaston Banna, Marc Laforest, Serge Prudhomme

This research proposes an algorithm to produce two ellipses in 2D, or two ellipsoids in 3D, of known major and minor axis lengths, relative orientations, and known separation/penetration distance. More precisely, the parameters describing the pair are exactly satisfied and the distance is observed to be close to the desired order of magnitude. The algorithm can be used to test and compare contact detection algorithms, or to produce large samples of pairs of ellipses and ellipsoids with known statistical properties.

本研究提出了一种生成两个已知长、短轴长度、相对方向和已知分离/穿透距离的二维椭圆或三维椭球体的算法。更精确地说,描述对的参数完全满足,并且观察到距离接近期望的数量级。该算法可用于测试和比较接触检测算法,或产生具有已知统计性质的椭圆和椭球对的大样本。
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引用次数: 0
Influence of random joints on mechanical and fracture behavior of rocks under uniaxial compression: experimental study and particle flow code simulation 随机节理对单轴压缩岩石力学和断裂行为的影响:实验研究和颗粒流程序模拟
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-04-04 DOI: 10.1007/s40571-025-00952-x
Wenqiang Ma, Mengting Zong

Random joints are the most common defects in rock mass. Joint size or number seriously affects the stability of rock mass. To study the effects of random joints on the mechanical properties and failure characteristics of rock mass, rock-like specimens and numerical models containing random joints were prepared and constructed, and laboratory and numerical uniaxial compression tests were both carried out. The experimental and simulation results show that as the joint size or number increases, the compressive strength of specimen or model decreases in a cubic polynomial curve, the elastic modulus decreases slightly in a straight line, and the fracture growth degree increases linearly. Joint size or number has significant effect on crack initiation and growth. Cracks initiate at the place of joint intersection and concentration and expand into macro-fracture surface. Tensile cracks are the main crack type during the compression process, the number of tensile cracks account for more than 80%, and this proportion increases with increasing joint size or number, while shear cracks only increase significantly after peak stress. Increasing joint size or number reduces the CI stress, and advances the initiation, propagation and intersection of cracks. The influence of joint size or number on mechanical properties and crack propagation is similar, but the influence of joint size is greater. The failure mode is tension-shear coupling failure, but tensile failure is the main one. The results can provide reference for stability analysis and safety assessment of jointed rock mass.

随机节理是岩体中最常见的缺陷。节理的大小或数量严重影响岩体的稳定性。为研究随机节理对岩体力学特性和破坏特征的影响,制备并构建了含随机节理的类岩试件和数值模型,进行了室内单轴压缩试验和数值单轴压缩试验。试验与仿真结果表明:随着节理尺寸或节理数目的增加,试件或模型的抗压强度呈三次多项式曲线减小,弹性模量呈直线小幅减小,断口扩展程度呈线性增大;节理尺寸或节理数目对裂纹萌生和扩展有显著影响。裂纹在节理相交和集中处萌生,并扩展为宏观断口。拉伸裂纹是压缩过程中的主要裂纹类型,拉伸裂纹数量占80%以上,且该比例随着节理尺寸或节理数量的增加而增加,而剪切裂纹仅在峰值应力后才显著增加。增加节理尺寸或节理数目可降低CI应力,促进裂纹的萌生、扩展和相交。节理尺寸或节理数目对力学性能和裂纹扩展的影响相似,但节理尺寸的影响更大。破坏模式以拉剪耦合破坏为主,但以拉伸破坏为主。研究结果可为节理岩体的稳定性分析和安全性评价提供参考。
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引用次数: 0
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Computational Particle Mechanics
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