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1.
This paper addresses size and boundary effects on wave propagation, fracture pattern development and fragmentation in small scale laboratory-size specimens for model blasting. Small block type specimens are centre-line loaded by linear explosive charges and supersonically detonated. Using elastic wave propagation theory and fracture mechanics it is shown that the type of boundary conditions which prevail at the outer boundary of the cylinder control the extension of bore-hole cracking and fragmentation within the body of the cylinder. In the case of a composite block where a cylindrical core of different material is embedded, the level of fracturing and fragmentation is controlled by the separation of the interface which in turn depends on the relative dimensions of the core and the block. The most important parameter is the ratio between the length of the pulse (space-wise or time-wise) and the characteristic dimensions of the models, i.e. in this case the dimensions of the core and the mantel. Stress wave superposition effects occur in the corner sections of the mantel. Theoretical results are in good agreement with recent experimental findings.  相似文献   

2.
This contribution is the third part of a paper addressing size and boundary effects on explosively induced wave propagation, fracturing and fracture pattern development in small scale laboratory specimens, which are frequently used for model blast tests. Small cylindrical and block type specimens fabricated from concrete, sandstone and amphibolite are centre-line loaded by linear explosive charges and supersonically detonated. Using shock wave theory, elastic wave propagation theory, and fracture mechanics it is shown that the type of boundary conditions prescribed at the outer boundary of the cylinder controls the extension of stem cracking and the development of the fragmentation pattern within the body of the cylinder and the cube specimens. In the case of a composite specimen, where a cylindrical core of different material is embedded in a cylinder or in a cube, the level of fracturing and fragmentation is controlled by the conditions and possible de-lamination of the interface which, in turn, depends on the relative dimensions of the core and the block. Using known results from the theory of wave interaction with free boundaries and interfaces it will be shown that the fracture strain and the notch sensitivity of the material expressed by imperfections play an important role. Equally important is the ratio between the length of the pulse (space-wise or time-wise) and the characteristic dimensions of the models. Axi-radial boundary cracks and spalling will be explained on the basis of earlier wave propagation studies associated with supersonic blasting. Theoretical results are in good agreement with numerical simulations and recent experimental findings.  相似文献   

3.
杨岳峰  梁正召  唐春安 《岩土力学》2013,34(6):1775-1785
与静态岩石破碎过程相比,冲击作用下岩石的应力改变具有时间效应,应力波传播过程中表现出压、拉变化。基于损伤演化原理和有限元数值模拟方法,针对冲击荷载作用下的压头破岩机制进行了模拟分析。为排除边界上反射波的影响,黏弹性边界被纳入计算中。首先论证了黏弹性边界在均质和非均质介质中的计算精度,然后分析了冲击作用下不同均质度的岩石以及砂砾岩的响应规律,结果显示:在弹性情况下,压头与岩石接触边缘以及自由面附近是拉应力分布区,接触边缘拉应力最大。剪应力最高值并不位于接触面附近,而是离接触面有一定距离。较均质岩石主要呈现拉伸破坏模式,先出现赫兹裂缝,然后是径向裂缝和侧向裂缝,拉应力的产生成为诱发裂缝萌生和扩展的主因。当岩石均质度较低时,岩石的破坏形式呈现多元化,剪切破坏比重加大,表现为复杂的拉剪破坏模式。对于砾石粒径较大、含量较多的砂砾岩,砾石和基质的非均匀性不可忽略,冲击下破坏模式以绕粒环行和穿粒破坏为主。总体说来,对于岩石类准脆性材料,应力波传播过程中产生的拉应力是失稳的诱发和扩展的关键。  相似文献   

4.
Spalling is a wave-induced dynamic fracture phenomenon. The waves can be either one: elastic, elasto-plastic, or shock waves. From a continuum mechanics point of view, fracture mechanics and wave propagation form the main ingredients in the formation of spalls. Recently, however, micro-structural effects have become important in the initial stages of spall formation in a variety of engineering materials ranging from metals to rock and concrete. From a structural geology point of view, the rock mass cannot be modelled as a continuum. In this case, a discontinuum approach has to be taken where the individual features of the rock mass such as joints and faults need to be taken into account. From an application point of view, spallation is important where rapid loading by explosives, impact, or energy deposition, occurs. The range of applications stretches from blasting in mining engineering to damage prevention to structures under explosive excitation.

This contribution offers a multi-faceted and multi-disciplinary approach to the study of spalling with special attention to analytical and experimental work. The reader is assumed to be somewhat familiar with the basics of continuum mechanics, fracture mechanics, and propagation of elastic, plastic and shock waves. The application to rock and concrete will show the effects of structural geological discontinuities such as open and closed joints - and to some degree also faulting - in rock, as well as the micro-structure of concrete on the (shock) wave field.

Extensive use will be made of time-space diagrams which proved very useful in practical applications to blasting problems [Rossmanith, H.P., 2002, The use of Lagrange diagrams in precise initiation blasting. Part I: two interacting blastholes, Fragblast 6, 104-136].  相似文献   

5.
Empirical approaches for predicting fragmentation from blasting continue to play a significant role in the mining industry in spite of a number of inherent limitations associated with such methods. These methods can be successfully applied provided the users understand or recognize their limitations. Arguably, the most successful empirical based fragmentation models have been those applicable to surface blasting (e.g., Kuz-Ram/Kuznetsov based models). With widespread adoption of fragmentation assessment technologies in underground operations, an opportunity has arisen to extend and further develop these type approaches to underground production blasting.

This paper discusses the development of a new fragmentation modelling framework for underground ring blasting applications. The approach is based on the back-analysis of geotechnical, blasting and fragmentation data gathered at the Ridgeway sub level caving (SLC) operation in conjunction with experiences from a number of surface blasting operations.

The basis of the model are, relating a peak particle velocity (PPV) breakage threshold to a breakage uniformity index; modelling of the coarse end of the size distribution with the Rosin-Rammler distribution; and modelling the generation of fines with a newly developed approach that allows the prediction of the volume of crushing around blastholes.

Preliminary validations of the proposed model have shown encouraging results. Further testing and validation of the proposed model framework continues and the approach is currently being incorporated into an underground blast design and analysis software to facilitate its application.  相似文献   

6.
Two constitutive models for the simulation of fracture and fragmentation processes in rapidly loaded rocks are studied. The models were included in a wave propagation finite element code. The results obtained from the two models were compared by a study of the intensity and extent of fracturing obtained from two different configurations of explosive charge and reflecting surfaces in a plane strain problem. The evolution of the time dependent fracture pattern and fragmentation process is also presented.  相似文献   

7.
岩体工程计算分析中结构面刚度系数是至关重要的力学参数,计算分析的精度和可靠程度与这个参数密不可分,结构面刚度系数取值仍然是一个难点.岩体中应力波传播至结构面处将会发生反射和透射现象,利用应力波透射系数可反演结构面动态刚度系数.本文从细观力学角度运用颗粒离散元方法,开发分段线性接触模型及应力波吸收边界模型,开展宏观岩体中...  相似文献   

8.
制备TJ-1模拟月壤空心圆柱试样的新方法   总被引:1,自引:0,他引:1  
针对TJ-1模拟月壤颗粒级配跨度大、粒径〉2mm.的颗粒含量多,采用常规方法制备空心圆柱试样容易出现粗细颗粒分离、试样整体不均匀的特点,提出改良型制备方法.首先采用分层欠压法与冰冻法相结合制备出孔隙比e=1.0的实心圆柱试样,并对实心样的均匀性进行评价,得到分层制备相同孔隙比的TJ-1模拟月壤均匀试样时每层试样的高度;...  相似文献   

9.
孤立波在近岸地区会引起剧烈的泥沙运动,导致采用淹没式桩基础的近海建筑物周围发生局部冲刷,严重影响近海建筑物的稳定性。采用中值粒径为0.22 mm的均匀沙在波浪水槽中布置平底沙床,在两种不同桩径条件下,对孤立波作用下淹没桩周围的冲刷发展过程进行了记录分析,探讨入射波高及淹没率对局部冲刷的影响,并从冲刷形态方面对比分析了孤立波与单向水流、规则波作用下局部冲刷的异同。结果表明:在相同淹没率条件下,随着入射波高的增大,桩周冲刷形态由双喇叭型向瞬态型冲刷形态发展;在相同入射波高条件下,桩高与桩径比h_c/D位于1~7范围内,淹没率对桩前最大冲刷深度影响不大,而桩后最大冲刷深度随淹没率增大而减小,并给出了淹没因子K_s与淹没率的多项关系曲线;孤立波与单向流作用下的淹没桩周围地形变化相似,而与小周期规则波作用下的地形变化差异较大。对实测数据进行多元回归得到冲刷深度的综合计算公式,经验证该公式计算值与实测值最大误差不超过7%。  相似文献   

10.
The effect of heterogeneity in meso level geometric and material properties on tensile strength and size effect in split cylinder specimens is investigated. Critical meso geometric parameters are identified by studying their influence on the evolution of the fracture process zone. A statistical analysis is used to account for dependencies between the parameters. A reversal of the size effect, important for the strength of field specimens, is observed for certain meso geometries. Meso level explanations for this are proposed, and meso geometries likely to show such a reversal are identified. For moderately sized specimens, major trends in the size effect are seen to be almost entirely explained by heterogeneity in the meso geometry.  相似文献   

11.
舒进辉  马强  常立君 《岩土力学》2023,44(1):217-231
基于弹性波在非饱和多孔介质与单相弹性介质中的传播理论,考虑在非饱和土地基中设置一定厚度的复合多层波阻板(复合多层波阻板以3层为例),利用Helmholtz矢量分解定理,推导了非饱和土地基中S波通过复合多层波阻板的透射、反射振幅比的解析解。通过数值算例,分析了层间波阻板剪切模量和密度等物理力学参数对非饱和土地基中S波通过复合多层波阻板时传播特性的影响规律。结果表明:复合多层波阻板中层间波阻板材料的剪切模量和密度对透反射系数影响显著。复合多层波阻板是一种有效的隔振屏障,严格控制层间波阻板的剪切模量和密度可以获得最佳隔振效果,这为复合多层波阻板在地基振动控制领域中的应用提供理论指导。  相似文献   

12.
岩石在动载作用下的破坏与强度   总被引:1,自引:0,他引:1  
研究岩石的动载性能,在凿岩爆破上有重要意义。分段式霍布金生杆已应用于研究岩石对波动载荷的效应。作者使用改型的霍布金生杆法对岩石试件在动载下的破坏强度作了试验研究。冲击试验台配合微处理机作高速数据显示与处理,借助应力波在弹性杆中的一维理论对数据进行解释。测定了多种岩石静载与动载的强度,并对岩石试件尺寸及加载速率的影响也作了试验。  相似文献   

13.
The effects of fractures on wave propagation problems are increasingly abstracting the attention of scholars and engineers in rock engineering field. This study aims to fully validate the ability of discontinuous deformation analysis (DDA) to model normal P‐wave propagation across rock fractures. The effects of a single fracture and multiple parallel fractures are all tested. The results indicate that DDA can accurately reflect the fracture effects, including the fractures stiffness, the fracture spacing and the fracture number, and the effects of incident wave frequency on one‐dimensional P‐wave propagation problems. Thus, DDA is able to deal well with normal incident P‐wave propagation problems. Copyright © 2017 John Wiley & Sons, Ltd.  相似文献   

14.
The ultimate aim of our overall task, of which the effort described in this paper is a part, is to be able to model the impulsive output of buried charges and the response of targets of interest. It is not practical or cost-effective to determine the response of all targets of interest to buried charges of all sizes by testing them. In order to have confidence in our models, however, they must be validated by a modest number of tests. A critical element in modelling the response of a target is the ability to model the loading function. The load a buried charge applies to a target above it when the charge detonates can be characterized in terms of the vertical impulse. The vertical impulse is a function of the size of the charge, its depth of burial, and the properties of the soil in which it is buried. The primary objective of the effort described in this paper is to determine the load a known charge places on a non-responding target so the data can be used to validate our models.

For model validation, a large number of detonator-scale experiments have been conducted by the University of Maryland (Fourney et al. [1]). It was also necessary to conduct a modest number of experiments at a larger scale, nine in total, to ensure that the results of the detonator-scale tests can be satisfactorily scaled up. Of the nine large-scale experiments conducted, seven were conducted with 5 or 10 lb cast TNT charges. All experiments were conducted in sand that was as nearly fully water-saturated as possible. The objective of the experiments was to determine the vertical impulse applied to a non-deforming target plate above the charge.

The large-scale experiments were conducted using the Vertical Impulse Measurement Fixture (VIMF) at the Army Research Laboratory, Aberdeen, MD. The VIMF is a unique facility that has been designed specifically to measure accurately the vertical impulse from buried charges weighing up to 8 kg.

This paper describes the VIMF and its instrumentation, test methods and test results. The results obtained demonstrate that in some cases, when the soil is saturated sand, explosive 'bubble' effects similar to those encountered in shallow water are encountered.  相似文献   

15.
陈明  卢文波 《岩土力学》2007,28(1):123-126
根据断裂动力学理论及弹性P波与裂缝相互作用的分析,利用混凝土的动态断裂韧度,研究了大体积混凝土深层或贯穿裂缝在爆炸应力波P波作用下的扩展,得到了含裂缝混凝土的安全质点振动速度,并讨论了P波频率及其入射角对安全质点振动速度的影响。结果表明,频率越低、入射角越大的应力波对混凝土裂缝的扩展作用越大,频率为10 Hz垂直入射条件下,混凝土裂缝不扩展的安全质点振动速度仅为0.95 cm/s,与水利水电工程施工组织设计手册中规定的混凝土重力坝、混凝土闸墩等大体积混凝土结构的安全振速5 cm/s有较大差距,含裂缝混凝土更加容易被破坏。  相似文献   

16.
A phase-field approach for fluid-driven fracture propagation in porous media with varying constant compatible stress boundary conditions is discussed and implemented. Since crack opening displacement, fracture path, and stress values near the fracture are highly dependent on the given boundary conditions, it is crucial to take into account the impact of in situ stresses on fracturing propagation for realistic applications. We illustrate several numerical examples that include the effects of different boundary conditions on the fracture propagation. In addition, an example using realistic boundary conditions from a reservoir simulator is included to show the capabilities of our computational framework.  相似文献   

17.
This paper is concerned with the mechanism of coal breakage under high-pressure water jet (HPWJ) and its applications. A model of HPWJ impinging on coal target was established to study the cracking mechanism of coal under impact load. The characteristic and pressure distribution of HPWJ, the propagation characteristics of stress wave in coal, the mechanical properties of different coal particles, and the fracture characteristics of coal under HPWJ erosion were investigated theoretically and numerically. The results show that the shock wave and water wedge pressure are the main factors that cause coal breakage and crack propagation. The damage to the far-field coal particles affected by HPWJ is primarily caused by tensile stress, and the damage to the near-field coal particles affected by HPWJ is caused by the coupled effects of tensile stress and compressive stress. An erosion cavity is formed in the coal model with diameters of 1.25 to 2.5 times that of the jet at different depths. Meanwhile, the strong quasi-static pressure at the crack discontinuities further promotes the propagation of radial cracks around the erosion cavity to form a fracture zone, and the diameter of the fracture zone at different depths is 3.5 to 4.0 times that of the jet. In addition, the results of field application show that there is a significant difference between the methane parameters in the hydraulic flushing borehole and the conventional borehole; the average methane volume fraction and the average methane flow rate in hydraulic flushing boreholes are 3.85 and 3.67 times, respectively, that in conventional boreholes. Indicating hydraulic flushing can effectively promote the initiation and propagation of coal cracks. These results are of great significance to improve coalbed methane drainage technology and prevent gas disaster accidents in coal mines.  相似文献   

18.
In the present study, a boundary element method based on the higher order displacement discontinuity formulation is presented to solve the general problem of hydraulic fracture propagation in layered formations. Displacement collocation technique is employed to model the higher order displacement variation along the crack and the special crack tip element near its ends. The hydraulic fracture propagation and its interaction with the layer interface in non-homogenous rock materials are studied by the proposed semi-analytical (hybridized boundary element-boundary collocation) method. The maximum tangential stress criterion (or σ-criterion) of fracture mechanics considering different elastic constants (Young modulus and Poisson’s ratio) is used to obtain the fracture path. The fracture propagation from stiff to soft and soft to stiff media for cracks having different inclination angles is modeled, and the effects of elastic constants on the hydraulic fracture propagation is studied. The results show that if the hydraulic fracture originates in the stiffer layer, its capability to cross the layer increases and is vice versa for the softer material. The comparison of the results gained from the numerical method with those in the literature show a good performance of the method in the case of propagation of hydraulic fracture in layered formations.  相似文献   

19.
The two crucial shape factors (elongation ratio and flatness ratio) of brittle particles may influence the dynamic breakage of brittle particles upon impact. Hence, three-dimensional discrete element method simulations of brittle rock blocks with different shapes upon normal impact were performed. The simulated results indicate that the elongation ratio, that is, ratio of width to length and flatness ratio, that is, ratio of thickness to width can significantly affect the breakage of brittle rock blocks. Three fracture mechanisms, that is, fragmentation, horizontal tensile fracture and vertical tensile fracture, were revealed, which determine the dynamic breakage of rock blocks. The fragmentation results in numerous single-sphered fragments with velocities even larger than 2 times of the initial velocities. Fragmentation can provide a buffering effect at high impact velocities of larger than 4 m/s. With an increasing elongation ratio or flatness ratio, the phenomenon of fragmentation gradually disappears. The reflection of a compression stress wave results in horizontal tensile fracture. The expansion in the plane perpendicular to the impact velocity results in vertical tensile fracture.  相似文献   

20.
In this paper, the numerical manifold method (NMM) is extended to study wave propagation across rock masses. First, improvements to the system equations, contact treatment, and boundary conditions of the NMM are performed, where new system equations are derived based on the Newmark assumption of the space–time relationship, the edge‐to‐edge contact treatment is further developed for the NMM to handle stress wave propagation across discontinuities, and the viscous non‐reflection boundary condition is derived based on the energy minimisation principle. After the modification, numerical comparisons between the original and improved NMM are presented. The results show that the original system equations result in artificial numerical damping, which can be overcome by the Newmark system equations. Meanwhile, the original contact scheme suffers some calculation problems when modelling stress wave propagation across a discontinuity, which can be solved by the proposed edge‐to‐edge contact scheme. Subsequently, the influence of the mesh size and time step on the improved NMM for stress wave propagation is studied. Finally, 2D wave propagation is modelled, and the model's results are in good agreement with the analytical solution. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

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