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Theoretical and Applied Fracture Mechanics最新文献

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Research on the mechanical anisotropy and crack propagation in composite rock masses containing weak interlayers and double fissures 含弱夹层双裂隙复合岩体力学各向异性及裂纹扩展研究
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-22 DOI: 10.1016/j.tafmec.2026.105471
Mingchao Wan , Nan Yao , Binyu Luo , Zheng Wan , Yicheng Ye
Layered rock masses, as complex geological media, exhibit mechanical behaviors predominantly controlled by internal weak interlayers and inherent fissures. This study aims to reveal the anisotropic characteristics of the mechanical behavior of layered rock masses under the interaction between weak interlayers and fissures. Uniaxial compression tests were conducted on rock-like specimens containing weak interlayers and prefabricated double fissures, combined with Digital Image Correlation (DIC) and Acoustic Emission (AE) monitoring techniques, to analyze the damage evolution process and the mechanical mechanisms of crack propagation. The results indicate that: (1) The initiation and propagation of tensile wing cracks at the fracture tips exhibit a strong competitive advantage, which weakens as the bedding dip angle increases. (2) The rock bridge serves as a key area for stress concentration and is influenced by the bridging angle β, governing the type of dominant cracks and the pattern of coalescence. (3) The weak interlayer significantly alters the interlayer stress field, inducing cracks to initiate vertically to the interlayer interface or to deflect, while demonstrating typical “barrier” and “guiding” dip effects on tip cracks. (4) The failure mode of the rock mass is primarily characterized by composite failure involving tensile cracking at the tips and penetration through the weak interlayer and hard rock layers. The propagation path is jointly influenced by the fracture dip angle, bridging angle, and the activation state of interlayer shear slip. This study reveals that when the double fissure layout (rock bridge dip angle) is oriented opposite to the dip direction of the weak interlayer, the pillar system is most susceptible to penetrating shear instability failure. Meanwhile, an increase in the bedding dip angle promotes slip along the weak interlayer, which reduces mechanical anisotropy and results in lower overall strength. These findings provide a theoretical reference for optimizing the layout and targeted support design of pillars in multi-layered stratified ore bodies, such as phosphate mines.
层状岩体作为复杂的地质介质,其力学行为主要受内部软弱夹层和固有裂隙的控制。本研究旨在揭示弱夹层与裂隙相互作用下层状岩体力学行为的各向异性特征。对含弱夹层和预制双裂纹的类岩试件进行单轴压缩试验,结合数字图像相关(DIC)和声发射(AE)监测技术,分析损伤演化过程和裂纹扩展的力学机制。结果表明:(1)断裂尖端张拉翼裂纹的萌生和扩展表现出较强的竞争优势,随着层理倾角的增大,这一优势减弱;(2)岩桥是应力集中的关键区域,受桥角β的影响,控制着主裂缝的类型和贯通方式。(3)弱夹层显著改变了层间应力场,诱导裂纹沿层间界面垂直起始或偏转,而对尖端裂纹表现出典型的“屏障”和“导向”倾斜效应。(4)岩体破坏模式主要表现为尖端拉裂、穿透弱夹层和硬岩层的复合破坏。裂缝倾角、桥接角和层间剪切滑移激活状态共同影响裂缝的传播路径。研究表明,当双裂隙布置(岩桥倾角)与弱夹层倾角方向相反时,矿柱体系最容易发生穿透剪切失稳破坏。同时,随着顺层倾角的增大,沿弱夹层滑移加剧,力学各向异性降低,整体强度降低。研究结果为磷矿等多层层状矿体中矿柱的优化布置和针对性支护设计提供了理论参考。
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引用次数: 0
Design net cross-section resistances for numerical design analyses of weakened tensile plates with real material properties 具有实际材料性能的弱拉伸板的数值设计分析的设计净截面阻力
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-22 DOI: 10.1016/j.tafmec.2026.105466
Kirill Golubiatnikov , Martin Vild , Frantisek Wald
Design net cross-section resistances for numerical design analyses of weakened tensile plates with real material properties have been established. Datasets of possible resistances for each considered geometry type were generated using a Monte Carlo-based procedure, combining a numerical-analytical approach with statistical functions of real material properties and real thicknesses reported in the literature. The generated datasets and the applied numerical - analytical approach were validated against experimental results. Subsequently, the datasets were statistically evaluated in accordance with EN 1990, and design net cross-section resistances with partial safety factors for tensile resistance were determined. The maximum obtained partial safety factor is 1.22, closely matching the recommended value of 1.23 reported in the literature. The most critical geometry types were smooth double notches, round double notches, and either sharp double notches or a narrow slotted hole. Plates with single holes or slotted holes exhibit lower design resistance than comparable double-notch plates. Additionally, staggered holes reduce resistance, whereas multiple holes in line have little effect. The results provide statistically guaranteed criteria suitable for numerical design analyses with real material properties and support harmonization with Eurocode-based practice.
The findings of this study, particularly the derived design resistances, form a foundation for establishing design failure criteria for numerical design calculations performed with nominal material properties and nominal geometry in a future study.
建立了具有实际材料性能的弱拉伸板的设计净截面阻力的数值设计分析方法。每种考虑的几何类型的可能阻力数据集使用基于蒙特卡罗的程序生成,将数值分析方法与文献中报道的真实材料特性和真实厚度的统计函数相结合。所生成的数据集和应用的数值分析方法与实验结果进行了验证。随后,根据en1990对数据集进行统计评估,并确定具有部分抗拉安全系数的设计净截面阻力。得到的部分安全系数最大值为1.22,与文献报道的推荐值1.23非常接近。最关键的几何类型是光滑双切口、圆形双切口、尖锐双切口或窄槽孔。具有单孔或开槽孔的板比具有双缺口的板具有更低的设计阻力。此外,交错孔降低了阻力,而多个孔在一条线上几乎没有影响。结果提供了具有统计保证的标准,适用于具有实际材料性能的数值设计分析,并支持与基于欧洲规范的实践相协调。本研究的发现,特别是推导出的设计阻力,为在未来的研究中使用标称材料性能和标称几何形状进行数值设计计算建立设计失效标准奠定了基础。
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引用次数: 0
Crack propagation mechanisms in rock-like samples with a serrated joint and double fissures under compression-shear loading 锯齿形节理双裂隙类岩样在压剪作用下的裂纹扩展机制
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-22 DOI: 10.1016/j.tafmec.2026.105479
Yuanhao Di , Yifei Li , Qiang Liu , Xianzheng Zhu , Zhengyang Su , Shuyang Yu
In natural rock masses, joints and fissures do not exist independently. They are widely distributed in rock structures at multiple scales and in various forms. In practical engineering, the coupled effect of joints and fissures often induces shear sliding of surrounding rock, block instability, or sudden failure. Serious threats are posed to tunnel lining safety, slope stability, and the long-term service performance of underground engineering. To reveal the failure mechanisms of rock masses under the coupling effects of a serrated joint and double fissures, compression-shear tests were conducted on samples containing a serrated joint and double fissures. Crack initiation, propagation, and coalescence processes of sample under different fissure inclination angles and joint inclination angles were systematically investigated. The corresponding energy evolution characteristics and strength responses were also analyzed. During the experiments, digital image correlation (DIC) technology was introduced. Full-field deformation and strain localization characteristics on the surface of sample were monitored in real time. The stress-controlled mechanism of crack evolution was analyzed in combination with distribution characteristics of the maximum principal stress. Results show that the failure process of samples containing a serrated joint and double fissures exhibits distinct staged characteristics. The failure process of the sample is divided into distinct stages based on combined mechanical indicators, including characteristic stress–strain responses, dominant crack evolution modes, and corresponding energy variation trends. Each stage represents a specific damage state governed by different controlling mechanisms, and transitions between stages are associated with identifiable changes in mechanical response and crack activity. The fissure tips are always the preferred locations for crack initiation. The serrated joint significantly affects crack propagation paths by altering local stress concentration patterns. The formation and development of shear cracks are promoted. The increase in crack number mainly provides channels for energy dissipation. The formation and coalescence of shear cracks determine the concentration degree of energy release and the sudden instability of sample. Samples with different geometric configurations show significant differences in stress distribution, crack evolution modes, and failure patterns. The maximum principal stress contours are in good agreement with DIC strain fields in terms of crack initiation locations and coalescence paths. The findings can provide experimental evidence for understanding failure mechanisms of complex fissured rock masses and for stability analysis of underground engineering.
在天然岩体中,节理和裂隙并不是独立存在的。它们广泛分布于多尺度、多形态的岩石构造中。在实际工程中,节理与裂隙的耦合作用经常引起围岩剪切滑动、块体失稳或突然破坏。对隧道衬砌安全、边坡稳定以及地下工程的长期使用性能构成严重威胁。为揭示双裂隙与锯齿节理耦合作用下岩体的破坏机制,对含锯齿节理与双裂隙的岩体进行了压剪试验。系统研究了不同裂隙倾角和节理倾角下试样的裂纹萌生、扩展和合并过程。分析了相应的能量演化特征和强度响应。实验中引入了数字图像相关(DIC)技术。实时监测试样表面的全场变形和应变局部化特征。结合最大主应力的分布特征,分析了裂纹演化的应力控制机制。结果表明:含锯齿节理和双裂隙试样的破坏过程具有明显的阶段性特征;基于特征应力-应变响应、主导裂纹演化模式及相应能量变化趋势等综合力学指标,将试样的破坏过程划分为不同的阶段。每个阶段代表一个特定的损伤状态,由不同的控制机制控制,阶段之间的过渡与力学响应和裂纹活动的可识别变化有关。裂纹尖端始终是裂纹萌生的首选位置。锯齿形节理通过改变局部应力集中模式,显著影响裂纹扩展路径。促进了剪切裂纹的形成和发展。裂缝数的增加主要为能量耗散提供了通道。剪切裂纹的形成和聚并决定了能量释放的集中程度和试样的突然失稳。不同几何形态的试样在应力分布、裂纹演化模式和破坏模式上存在显著差异。最大主应力轮廓与DIC应变场在裂纹起裂位置和聚结路径上具有较好的一致性。研究结果可为理解复杂裂隙岩体破坏机理和地下工程稳定性分析提供实验依据。
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引用次数: 0
Designing for toughness: How substrate stiffness controls crack path and effective engagement of toughening layers in adhesively bonded CFRP joints 韧性设计:基材刚度如何控制CFRP粘结接缝中的裂纹路径和增韧层的有效接合
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-20 DOI: 10.1016/j.tafmec.2026.105473
R. A.A. Lima , S. Teixeira de Freitas
Tailoring the stacking sequence of composites bonded joints improves fracture toughness and damage tolerance of the joint by encouraging extrinsic toughening mechanisms, such as crack deflection and crack branching. Previous works show that in composite substrates with tailored laminates, each crack deflection into a new ply can increase the joint's toughness. Still, once a 0° layer is reached, toughness drops abruptly due to sudden delamination. To overcome this limitation, this work explores embedding a co-cured film-adhesive layer to prevent delamination in 0° plies. It examines how the substrate's bending stiffness influences the effectiveness of this toughening strategy. Quasi-static double cantilever beam tests on four different carbon fibre reinforced laminates, with and without the co-cured layer, revealed two regimes: (i) compliant substrates lead to high peel stresses, triggered crack deflection into ±45° plies, enabling bridging and rising R-curves—up to 200% toughness increase; (ii) stiffer substrates suppressed near-tip rotation, and promoted cleavage-like crack growth with minimal toughening.
调整复合材料粘结接头的堆积顺序,通过促进裂纹挠曲和裂纹分支等外在增韧机制,提高复合材料接头的断裂韧性和损伤容限。先前的研究表明,在定制层压板的复合基材中,每一次裂纹挠曲都能增加接头的韧性。然而,一旦达到0°层,由于突然分层,韧性突然下降。为了克服这一限制,本研究探索了在0°层中嵌入共固化薄膜-粘合剂层以防止分层。它检查了基材的弯曲刚度如何影响这种增韧策略的有效性。在四种不同的碳纤维增强层压板上进行了准静态双悬臂梁测试,有和没有共固化层,揭示了两种情况:(i)柔顺的基材导致高剥离应力,引发裂缝挠曲到±45°层,使桥接和r曲线上升,韧性增加200%;(ii)更硬的衬底抑制了近尖端的旋转,促进了解理样裂纹的扩展,同时最小的增韧。
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引用次数: 0
Failure morphologies in grouted and ungrouted double fissured specimens: experiments and SPH simulations 注浆和未注浆双裂隙试件的破坏形态:实验和SPH模拟
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-20 DOI: 10.1016/j.tafmec.2026.105472
Ting Jiang , Jilin Wang , Mengyao Shen , Wenbing Zhang , Shuyang Yu
To reveal the mechanisms associated with the fracture of grouted and ungrouted double-fissured rock masses, crack propagation of double-fissured rock masses with different dip angles α is studied by combining experiments and numerical simulations. Rock-like samples are produced through sand-based three-dimensional printing technique, and grouted/ungrouted double-fissured models were constructed through cement grouting. Uniaxial compression experimentation and DIC technology are adopted to evaluate the damage modes and stress-strain properties. A modified particle-based model was established by embedding a particle failure treatment method into SPH method, which reproduces the crack evolution process and is validated against experimental results. The research indicates that mechanical responses of specimens are highly consistent with that of natural sandstone, enabling effective simulation of rock mass properties. Modified SPH method is able to precisely capture interface debonding between grout and rock mass as well as the dynamic crack evolution. For ungrouted specimens, with the rise in fracture dipping angle, the crack initiation position shifts from the middle of the fissures to the outer tips, forming “wing cracks”, and the inner tips tend to directly coalesce. After grouting, peak strength significantly enhanced (with the maximum improvement of 126.9% at α = 0°), the concentrated stress effect is diminished, the crack path transitions to passing the grout, the localized tensile stress zone moves from fissure tips to the interior of the grout. The present research offers experimental and numerical fundamentals for elucidating the mechanical response of grouting-reinforced double-fissured rock masses, meanwhile provides important reference value for stability control in rock engineering.
为了揭示注浆和未注浆双裂隙岩体的断裂机制,采用实验与数值模拟相结合的方法,对不同倾角α双裂隙岩体的裂纹扩展进行了研究。采用砂基三维打印技术制备岩石样,通过水泥灌浆建立注浆/未注浆双裂隙模型。采用单轴压缩实验和DIC技术对其损伤模式和应力应变特性进行了评价。通过在SPH方法中嵌入颗粒破坏处理方法,建立了改进的基于颗粒的模型,再现了裂纹演化过程,并与实验结果进行了对比验证。研究表明,试样的力学响应与天然砂岩的力学响应高度一致,能够有效地模拟岩体特性。改进的SPH方法能够准确地捕捉浆液与岩体之间的界面剥离和动态裂缝演化过程。对于未灌浆试件,随着断裂倾角的增大,裂纹起裂位置由裂缝中部向外端移动,形成“翼状裂纹”,内端有直接聚并的趋势。注浆后峰值强度显著提高(α = 0°时最大提高126.9%),集中应力效应减弱,裂缝路径向通过浆液过渡,局部拉应力区由裂隙尖端向浆液内部移动。本研究为阐明注浆加固双裂隙岩体的力学响应提供了实验和数值基础,同时为岩石工程中的稳定性控制提供了重要的参考价值。
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引用次数: 0
Study on the mixed mode I/III fracture behavior of autoclaved aerated concrete 加气混凝土I/III混合模式断裂行为研究
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-20 DOI: 10.1016/j.tafmec.2026.105476
M. Ghadim-Ghobadi , S. Pirmohammad , M. Bakhshizadeh
This study examined fracture behavior of Autoclaved Aerated Concrete (AAC) using a newly developed Modified Edge Notched Disc Bend (MENDB) specimen under five distinct loading conditions, including pure mode I, pure mode III, and three mixed-mode I/III states. The traditional ENDB geometry was prone to premature failure in porous materials due to excessive stress concentration at the supports. To overcome this limitation, the MENDB configuration incorporated truncated supports that prevented crushing near contact regions and allowed accurate fracture testing across a wide range of crack orientations. A finite element (FE) parametric study was conducted to quantify the influence of support span ratio (S/R = 0.7–0.9), crack length ratio (a/B = 0.4–0.6), and crack angle (α = 0°–75.5°) on the geometry factors (YI, YIII) and normalized T-stress. The FE results indicated that increasing α progressively shifted the loading condition from pure mode I to pure mode III; meanwhile, larger S/R values enhanced YI at low α but reduced it at higher angles, while YIII consistently increased with S/R. In contrast, increasing a/B raised YI at small α but decreased it for dominant mode III conditions. Furthermore, experiments showed that the fracture resitance (Kf) decreased with increasing mode III contribution, with pure mode III Kf being approximately 61% lower than pure mode I one.
本研究使用新开发的改良边缘缺口盘弯曲(MENDB)试件,在五种不同的加载条件下,包括纯I模式、纯III模式和三种I/III混合模式,测试了加气混凝土(AAC)的断裂行为。传统的ENDB几何结构在多孔材料中容易过早失效,因为支架处应力过于集中。为了克服这一限制,MENDB配置了截断支撑,防止了接触区域附近的破碎,并允许在大范围的裂缝方向上进行精确的断裂测试。通过有限元参数化研究,量化了支撑跨度比(S/R = 0.7 ~ 0.9)、裂缝长度比(A /B = 0.4 ~ 0.6)和裂缝角度(α = 0°~ 75.5°)对几何因子(YI、YIII)和归一化t应力的影响。结果表明,α的增加使加载状态由纯ⅰ型逐渐转变为纯ⅲ型;同时,较大的S/R值在低α时增加了YI,但在高角度时降低了YI,而YIII随着S/R的增加而增加。相比之下,在小α条件下,增加a/B会提高YI,但在优势模式III条件下会降低YI。此外,实验表明,断裂阻力(Kf)随着III型贡献的增加而降低,纯III型Kf比纯I型Kf低约61%。
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引用次数: 0
Influence of stress dwell location on the creep–fatigue behavior of notched nickel-based single-crystal superalloy specimens at 900 °C 应力驻留位置对缺口镍基单晶高温合金900℃蠕变疲劳行为的影响
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-20 DOI: 10.1016/j.tafmec.2026.105469
Jundong Wang , Xiaolei Gu , Xiangqian Xu , Zhixun Wen , Zhufeng Yue
Nickel-based single-crystal superalloys are widely employed in critical hot-section components of aero-engines and industrial gas turbines. In this study, high-temperature creep-fatigue interaction tests were conducted on notched specimens of a nickel-based single-crystal superalloy under different stress dwell locations, including baseline cycling without dwell (baseline), dwell at maximum stress (“max dwell”), and dwell at minimum stress (“min dwell”). The results demonstrate that the stress dwell location exerts a pronounced influence on the fatigue life and failure modes of notched specimens. Specifically, under baseline cycling and min dwell conditions, failure is dominated by the initiation and propagation of surface-initiated fatigue cracks. In contrast, under max dwell conditions, the fracture surfaces exhibit a mixed morphology characterized by the coexistence of quasi-cleavage facets and dimpled microvoid coalescence. A damage-coupled viscoplastic constitutive model was employed to simulate the cyclic response of notched specimens under different dwell conditions by finite element analysis, and the predictions indicate that the model can reasonably reproduce the crack initiation and evolution behavior over a range of stress dwell locations. On this basis, the classical Basquin fatigue life model was modified by incorporating stress triaxiality and damage evolution metrics, thereby establishing a life prediction methodology applicable to high-temperature notched creep-fatigue interaction, which captures the observed trends in life degradation with satisfactory accuracy.
镍基单晶高温合金广泛应用于航空发动机和工业燃气轮机的关键热截面部件。在本研究中,对镍基单晶高温合金的缺口试样进行了不同应力驻留位置下的高温蠕变-疲劳相互作用试验,包括无驻留基线循环(基线)、最大驻留应力(“最大驻留”)和最小驻留应力(“最小驻留”)。结果表明,应力驻留位置对缺口试样的疲劳寿命和破坏模式有显著影响。具体来说,在基线循环和最小停留条件下,失效主要是由表面疲劳裂纹的萌生和扩展引起的。相反,在最大停留条件下,断口表面表现为准解理面和微孔聚结共存的混合形貌。采用损伤耦合粘塑性本构模型对缺口试件在不同静置条件下的循环响应进行了有限元模拟,结果表明,该模型能够较好地再现缺口试件在不同应力静置位置下的裂纹萌生与演化行为。在此基础上,通过引入应力三轴性和损伤演化指标对经典Basquin疲劳寿命模型进行修正,建立了一种适用于高温缺口蠕变-疲劳相互作用的寿命预测方法,该方法以令人满意的精度捕获了观察到的寿命退化趋势。
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引用次数: 0
Progressive damage in non-persistent fissured rock masses: Stress-strain analysis of inclination angle effects 非持续性裂隙岩体的渐进损伤:倾角效应的应力-应变分析
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-19 DOI: 10.1016/j.tafmec.2026.105463
Rui Yue , Kegang Li , Qingci Qin , Mingliang Li , Dong Tian , Jianghu Ji , Shiqian Yan
Split Hopkinson Pressure Bar (SHPB) impact tests are performed to investigate the effect of fissure inclination on the dynamic mechanical properties of rocks. High-speed cameras recorded the complete rock fracture process. Combined with digital image correlation (DIC) and dynamic photoelastic experimentation, this study systematically investigated the dynamic fracture behavior and failure mechanisms of rocks containing non-persistent fissures at varying inclination angles, analyzing from the perspectives of strain fields and stress fields respectively. Experimental results revealed that the dynamic peak strength and energy utilization rate of sandstone with non-persistent fissure show a significant V-shaped change with the increase of fracture dip angle, and the effect of strength weakening and energy utilization efficiency reduction is the most prominent at 45° dip angle. The digital image correlation reveals that the failure mode evolves from shear failure → tensile-shear mixing failure → tensile failure with the increase of inclination angle. Following wing crack initiation, shear mechanisms are activated (with the exception of the 0° inclination case). The primary failure surface developed through the penetration of wing-shaped crack and far-field crack. Dynamic photoelasticity confirms that stress wave transmission-reflection effects at fissure interfaces are the root cause of the observed failure variations. Specifically, the tensile component of incident waves triggers the emergence of wing cracks and far-field cracks, while the shear component of reflected waves drives accelerated crack propagation and deflection. Isochromatic fringes can serve as an effective indicator of stress concentration characteristics, while crack propagation to follow the direction of maximum principal stress and the path of optimal energy release rate. This study establishes a coupled mechanism of fissure geometry characteristics – stress-strain field evolution – energy dissipation - crack propagation - macroscopic failure, providing a crucial theoretical foundation for stability assessment and dynamic hazard prevention in fissured rock masses within geotechnical engineering.
采用劈裂霍普金森压杆(SHPB)冲击试验研究了裂隙倾角对岩石动态力学性能的影响。高速摄像机记录下了岩石断裂的完整过程。结合数字图像相关(DIC)和动态光弹实验,系统研究了含非持续性裂隙岩石在不同倾角下的动态断裂行为和破坏机制,分别从应变场和应力场角度进行分析。实验结果表明,非持续性裂缝砂岩的动态峰值强度和能量利用率随裂缝倾角的增大呈显著的v型变化,在倾角为45°时强度减弱和能量利用效率降低的影响最为突出。数字图像相关分析表明,随着倾角的增大,破坏模式由剪切破坏→拉剪混合破坏→拉伸破坏演变。在机翼裂纹开始后,剪切机制被激活(0°倾角情况除外)。主破坏面是通过翼形裂纹和远场裂纹的侵彻形成的。动态光弹性证实了应力波在裂隙界面的透射-反射效应是观察到的破坏变化的根本原因。具体来说,入射波的拉伸分量触发了机翼裂纹和远场裂纹的出现,反射波的剪切分量驱动了裂纹的加速扩展和挠曲。等色条纹可以作为应力集中特征的有效指示,而裂纹扩展遵循最大主应力方向和最佳能量释放率路径。本研究建立了裂隙几何特征-应力-应变场演化-能量耗散-裂纹扩展-宏观破坏的耦合机制,为岩土工程中裂隙岩体稳定性评价和动力灾害防治提供了重要的理论依据。
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引用次数: 0
Phase-field modelling of mixed-mode fracture and coalescence in fissured rocks 裂隙岩石混合模式裂缝与聚并的相场模拟
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-17 DOI: 10.1016/j.tafmec.2026.105468
Sheng Shi , Yu Zhang , Fengjin Zhu , Anxin Meng
The fracture behaviour of quasi-brittle rocks plays a decisive role in the safety and stability of rock mass engineering. The phase-field method offers significant advantages in modelling complex crack propagation. In this study, by introducing a parametric energy degradation function and a geometric crack function, a phase-field damage model is developed to accurately describe the processes of crack initiation, propagation, and coalescence in rocks. In terms of numerical implementation, a staggered iterative algorithm is employed to solve the coupled governing equations of the displacement and phase fields. The model systematically simulates the fracture process of rock specimens containing pre-existing cracks at various inclinations under uniaxial compression, successfully reproducing full-mode fracture behaviours ranging from pure Mode I to pure Mode II, as well as various typical coalescence patterns such as wing cracks and bridge cracks. Furthermore, by analysing the dynamic evolution of the maximum principal stress and the maximum shear stress, the mechanical mechanisms driving crack initiation, propagation, and coalescence under tensile–shear coupled stress fields are elucidated.
准脆性岩石的断裂行为对岩体工程的安全稳定起着决定性的作用。相场法在模拟复杂裂纹扩展方面具有显著的优势。本文通过引入参数能量退化函数和几何裂纹函数,建立了相场损伤模型,以准确描述岩石中裂纹的萌生、扩展和合并过程。在数值实现方面,采用交错迭代算法求解位移场和相场的耦合控制方程。该模型系统地模拟了单轴压缩下含不同倾角裂缝的岩石试件的断裂过程,成功再现了纯ⅰ型到纯ⅱ型全模断裂行为,以及翼裂、桥裂等多种典型聚结模式。通过对最大主应力和最大剪应力的动态演化分析,阐明了拉剪耦合应力场作用下裂纹萌生、扩展和合并的力学机制。
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引用次数: 0
Study on crack propagation law and plastic failure mechanism around extraction borehole 抽采钻孔周围裂纹扩展规律及塑性破坏机理研究
IF 5.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-15 DOI: 10.1016/j.tafmec.2026.105462
Yongzan Wen , Wei Yang , Mengfei Song , Tianfu Wang , Yihan Wang , Minghua Lin
The evolution of cracks and the formation of plastic failure zones around boreholes constitute crucial seepage channels for efficient gas extraction. To investigate the crack propagation behavior and plastic failure mechanisms surrounding boreholes, cubic coal specimens with various spatial configurations were tested. The surface strain field evolution during uniaxial compression tests was monitored using the Digital Image Correlation (DIC) technique. Combined with elastoplastic mechanics theory, a computational model for the plastic zone boundary around boreholes was established to explore the influencing factors of the plastic region. The results show that circular boreholes, as initial defects, significantly deteriorate the mechanical properties of coal specimens. Both uniaxial compressive strength and elastic modulus decrease markedly with an increasing number of boreholes. The evolution of “butterfly-shaped” strain concentration zones around boreholes dominates crack initiation and propagation, while the superposition of strain fields among multiple boreholes is the primary cause of accelerated degradation of the specimens. Furthermore, the cooperative interaction among multiple boreholes expands the influence range of the plastic zones. Theoretical analysis indicates that under deviatoric stress conditions, a “butterfly-shaped” plastic zone forms around the borehole, with the butterfly lobes oriented at approximately θ ≈ 45°, representing preferential zones for shear crack development. The extent of the plastic zone is positively correlated with the borehole radius and lateral pressure coefficient, but negatively correlated with coal cohesion and internal friction angle. The butterfly-shaped plastic zone around the borehole defines the “effective permeability enhancement zone” for gas extraction. Utilizing the superposition effect of plastic zones induced by multi-borehole disturbance can extend the permeability enhancement range and enlarge the fracture connectivity region, thereby providing a theoretical basis for optimizing the borehole layout in gas drainage operations.
钻孔周围裂隙的演化和塑性破坏带的形成是有效抽采瓦斯的重要渗流通道。为了研究钻孔周围裂纹扩展行为和塑性破坏机制,对不同空间构型的立方煤试件进行了试验。采用数字图像相关(DIC)技术对单轴压缩试验过程中的表面应变场演化进行了监测。结合弹塑性力学理论,建立了钻孔周边塑性区边界的计算模型,探讨了塑性区的影响因素。结果表明:圆孔作为初始缺陷,会显著破坏煤样的力学性能;随着钻孔数的增加,单轴抗压强度和弹性模量均显著降低。孔周围“蝴蝶形”应变集中区的演化主导了裂纹的萌生和扩展,而多个孔间应变场的叠加是试件加速退化的主要原因。此外,多钻孔间的协同作用扩大了塑性区的影响范围。理论分析表明,在偏应力条件下,井眼周围形成“蝴蝶形”塑性区,其蝶叶方向约为θ≈45°,是剪切裂缝发育的优先区域。塑性区范围与钻孔半径、侧压系数呈正相关,与煤体黏聚力、内摩擦角呈负相关。井眼周围的蝴蝶状塑性区定义了天然气开采的“有效增渗区”。利用多井眼扰动引起的塑性区叠加效应,可以扩大渗透率增强范围,扩大裂缝连通性区域,从而为瓦斯抽采作业中优化井眼布置提供理论依据。
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Theoretical and Applied Fracture Mechanics
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