Behavior of diorite under impact by variously-shaped projectiles

SummaryBehavior of Diorite Under Impact by Variously-Shaped Projectiles The effects of striker diameter and tip geometry on the crater and crack network produced in diorite by normal projectile impact in the energy range from 4–30 J was investigated. Ejecta kinematics were determined by high-speed photography; elastic strain wave propagation was measured by embedded gages in a composite specimen; and the damage pattern was ascertained from an examination of the sectioned specimen. It was found that the projectile nose shape exerts a strong influence on the shape of the elastic transient, on the crater geometry, on the extent of the crack network and on the average size of the ejecta. The crater depth was found to be the most repeatable parameter in identical tests using the same striker and initial kinetic energy.With 7 Figures     

An analytical and experimental investigation of the effect of impact on coarse granular rocks

SummaryAn Analytical and Experimental Investigation of the Effect of Impact on Coarse Granular Rocks The interaction between metallic strikers and coarse, granular rock, associated with many mechanical rock breaking methods was investigated by theoretical and experimental methods. Cylindrical steel strikers of 12.7 mm diameter with flat, conical and hemispherical tips and masses of about 18.5 g were fired by means of a gas gun at blocks of diorite and spessartite with initial energies ranging from 4 to 34 J, generating substantial fracturing. The damage pattern in the rocks was ascertained, partly with the aid of a scanning electron microscope. A synthetic model consisting of long square bars of cement paste bonded with an adhesive was constructed as a simulator of diorite and tested to further delineate the failure mechanisms in this material.As previously, it was also found here that the geometry of the striker tip significantly affects the damage pattern and extent in diorite. A crucial difference in this pattern was observed between that found in diorite, a coarsegrained rock, and in spessartite, a more finely-grained substance. The crack network in diorite consisted of numerous kinked fractures extending a distance not in excess of 20 grain lengths, whereas only 5 to 7 nearly straight cracks with a length in excess of 20 times the grain size were found in spessartite that appeared to have propagated without regard to the grain packing structure or material defects. The synthetic rock model successfully reproduced the crack pattern found in diorite under impact.An analytical model to predict the region of grain and grain boundary failure incorporating one failure criterion for grains and another for grain boundaries was constructed. The first involved the development of failure surfaces based on an empirical limiting strength analogous to the modified Griffith criterion. Grain boundary failure was stipulated upon attainment of a combination of critical tensile and Coulomb type of shear stress. The model successfully delineated the major features of damage in the synthetic rock and in diorite and established upper bound predictions for the extent of damage.With 19 Figures     

A simplified analytical method for soil penetration analysis

A new one-dimensional model for penetration analysis of a rigid projectile into a soil target is presented. The soil medium is represented by a set of discs of constant thickness, responding in the radial direction under plain strain regime. When penetration through a typical disc occurs, the projectile displaces soil material and a radial plastic shock wave propagates in the disc. The interaction pressure between the projectile and soil material is compatible with the motion of the contact boundary, between them. The instantaneous resistive force is obtained by summation of the contributions of all the discs which are in contact with the nose surface of the projectile. Soil is considered as a ‘floating’ ideally locking material, in which the locking volumetric strain is adjusted to the physical stress–strain properties of the soil material. Friction between projectile and soil is assumed to be negligible. Comparison is made with both twodimensional computer program results and experimental data, and very good agreement is observed. Comparison with other analytical methods reveals that the present model most closely resembles existing experimental results and permits further analysis of the problem as predictions of target response and of stress distribution on the projectile nose. The calculations require very small amounts of computer time. Analysis with the present model yields an efficient and comprehensive means to analyse penetration and perform parameter analysis.     

Analysis of the steady‐state flow of a compressible viscoplastic medium over a wedge

A new model for calculating the resistance to penetration into geological or geologically derived materials is proposed. We assume steady‐state flow of the target material over the penetrator. The target medium is described by a rate dependent constitutive equation that accounts for combined effects of strain rate and compaction on yielding. The wedge‐shaped penetrator is considered to be rigid. The influence of the characteristics of the penetrator/target interface, impact velocity, target mechanical properties and nose geometry on the resistance to penetration is investigated. It is found that for low to intermediate impact velocities, accounting for friction results in a blunter optimal wedge geometry for optimal penetration performance. Copyright © 2005 John Wiley & Sons, Ltd.     

考虑转速比影响的砂土中螺旋挤扩钻具成孔特性宏细观模型试验

以福建标准砂为材料,采用宏细观模型试验方法,分析了转速比对松砂和密砂地基中螺旋挤扩钻具成孔特性的影响。宏观上,研究了竖向阻力、扭矩和土体应力随贯入深度的变化规律;细观上,结合环氧树脂砂土固化方法与数字图像分析技术,探讨了孔周土体相对密实度变化及其组构演化规律。试验结果表明,无论松砂还是密砂,钻具贯入时的竖向阻力、扭矩及孔周土体最大径向应力均随着转速比的增加而减小;钻具贯入导致松砂地基中钻头深度和孔周土体均发生挤密,而对于密砂则均发生不同程度的体胀;无论松砂还是密砂,孔周砂土切块环向面上的接触法向各向异性程度均随着转速比的增加而减小,而转速比对其径向面上的接触法向各向异性分布影响不大。该试验结果有助于提升对螺旋挤土桩成孔过程宏细观机制的认识。     

不同卸荷速度条件下灰岩力学特性的试验研究

对灰岩试样进行加轴压、卸围压破坏试验,研究了不同卸围压速度下灰岩的变形特征和力学参数变化,取得了一些新的结论：卸荷岩样的破坏是沿卸荷方向的强烈扩容所致;随着卸荷速度的增加,岩样的破坏特征从主剪切破坏、共轭剪切破坏逐渐变为劈裂加剪切破坏;在相同的卸荷初始围压下,卸围压速度越快,岩样破坏的应力差越小;在相同的卸荷速度下,随着卸荷初始围压的增加,岩样破坏的应力差逐渐增加;在相同的卸荷速度下,卸荷初始围压越大,轴向应变的回弹值愈大,环向应变突跳值愈小;随着卸荷速度的增加,岩样黏聚力c逐渐增加,内摩擦角? 逐渐减小。     

Fatigue Behavior of Granite Subjected to Cyclic Loading Under Triaxial Compression Condition

A series of laboratory tests were performed to examine the fatigue behavior of granite subjected to cyclic loading under triaxial compression condition. In these tests, the influences of volumetric change and residual strain on the deformation modulus of granite under triaxial cyclic compression were investigated. It is shown that the fatigue behavior of granite varies with the tendency for volumetric change in triaxial cyclic compression tests. In the stress–strain space, there are three domains for fatigue behavior of rock subjected to cyclic loading, namely the volumetric compaction, volumetric dilation with strain-hardening behavior, and volumetric dilation with strain-softening behavior domains. In the different domains, the microscopic mechanisms for rock deformation are different. It was also found that the stress level corresponding to the transition from volumetric compaction to volumetric dilation could be considered as the threshold for fatigue failure. The potential of fatigue deformation was compared with that of plastic deformation. The comparison shows that rocks exhibit higher resistances to volumetric deformation under cyclic loading than under plastic loading. The influence of residual strain on the fatigue behavior of rock was also investigated. It was found that the axial residual strain could be a better option to describe the fatigue behavior of rock than the loading cycle number. A constitutive model for the fatigue behavior of rock subjected to cyclic loading is proposed according to the test results and discussion. In the model, the axial residual strain is considered as an internal state variable. The influences of confining pressure and peak deviatoric stress on the deformation modulus are considered in a term named the equivalent stress. Comparison of test results with model predictions shows that the proposed model is capable of describing the prepeak fatigue behavior of rock subjected to cyclic loading.     

K0及三轴应力状态下压实膨胀土膨胀模型研究

以不同初始压实状态下的南阳中膨胀土为对象,在常规固结仪上开展侧限膨胀试验及采用GDS三轴仪进行恒定偏差应力的三轴膨胀试验,通过多元非线性拟合分析,分别获得考虑初始压实度、含水率、上覆压力耦合关联影响的K0膨胀模型以及体积膨胀率与球应力（体积应力）关系的三轴膨胀经验模型。基于K0膨胀模型,提出了压实土膨胀潜势能的定量计算公式,并推导出膨胀土边坡处理层厚度的理论计算方法。基于膨胀体积应变只随球应力变化而不受偏差应力影响的假设条件,分析了同一起始条件下,膨胀土K0模型与三轴膨胀模型的内在关联,并建立了通过K0模型推算三轴应力条件下体积膨胀率的理论方法。试验结果表明：采用多因素耦合的K0膨胀模型预测压实土膨胀势具有较好的准确度及合理性;联系K0模型与三轴膨胀模型的纽带在于假设侧限膨胀全程存在一个平均静止侧压力系数,采用反演方法得到平均侧压力系数呈现随上覆压力增大而减小的趋势,这种变化规律的根本原因则在于侧向膨胀力随上覆压力的增大而减小。     

Swelling model study of expansive soil at K-0 and triaxial stress stateEI北大核心CSCD

A series of swelling tests is performed on a typical Nanyang expansive soil with medium swelling capacity compacted at various initial densities and water contents. The swelling tests are separately conducted using the conventional oedometer to confine the lateral swelling of the soil specimens, and using the GDS triaxial apparatus to allow the free volumetric swelling. The multiple nonlinear mathematical method is adopted to obtain the lateral swelling model (i.e. K-0 model), which fully considers the coupled effect of initial degree of compaction, moisture content and overburden pressure on the swelling strain. Also, an empirical model for the relationship between spherical stress and volumetric strain is proposed by triaxial swelling test. Based on the K-0 swelling model, a formula is proposed to quantitatively evaluate the swell potential, and also a theoretical calculation method is derived to determine the processing layer thickness of expansive soil slope. Based on the assumption that volumetric swelling strain only changes with spherical stress and is not affected by the deviatoric stress, the correlations between the K-0 model and triaxial model are analyzed, and a method to calculate the volumetric swelling strain by only employing the K-0 model is given. Experimental results show that the proposed K-0 model with multifactor coupling is reasonable to predict the swelling potential of compacted expansive soil. It is found that the key factor to link the K-0 model and triaxial swelling model is assuming an average static lateral pressure coefficient. The average static lateral pressure coefficient tends to decreases with increasing overburden pressure by inversion method. This tendency of average static lateral pressure coefficient is believed to rely on the fact that lateral swelling pressure decreases with the increase of overburden pressure.     

基于图像测量技术的非饱和黄土固结变形试验研究

为了研究非饱和重塑黄土在三轴试验条件下的湿陷变形,利用自主研发的三轴试验土样变形数字图像测量系统,对其在均等围压下的三轴固结变形进行了初步研究。研究了非饱和黄土固结变形过程中轴向应变、径向应变、体积应变和时间之间的关系以及体积应变和压力之间的关系,并对比了单轴压缩试验和三轴压缩试验中体积应变和压力的关系。试验研究表明,在含水率一定的条件下轴向应变、径向应变和体积应变与时间的关系可以用双曲线模式表达,其表征最终变形量的参数依赖于均等固结压力。     

考虑初始损伤和残余强度的岩石变形过程模拟

针对现有损伤模型的不足,提出同时反映岩石初始损伤和残余强度的岩石变形过程模拟方法.将岩石材料分为未损伤部分、损伤部分和微缺陷,未损伤部分和损伤部分共同承担岩石所受的应力.通过岩石材料几何条件及微观受力分析建立未损伤部分的应变分析.再考虑岩石的形变比能只与损伤部分材料相关,从而建立损伤部分的应变分析.然后探讨岩石损伤和耗散能的关系,提出了可以反映岩石初始损伤的损伤演化方程,基于各部分应变分析建立模拟岩石变形过程的损伤本构模型,同时给出模型各参数的确定方法.结果表明:损伤演化方程不仅表现了岩石的初始损伤特征,也可以完整地体现岩石变形破坏过程的5个阶段;与前人模型相比,提出的岩石变形模拟方法与试验曲线更加吻合,体现了岩石的变形全过程,特别是更加直观地反映了岩石的初始损伤和残余强度特征.综合体现了本文模型在模拟岩石变形全过程时的优势.     

冻结和林黄土力学性质的试验研究

对饱和冻结和林黄土在-2℃的温度条件下进行了单轴压缩试验和围压范围为1~5MPa的三轴压缩试验。试验结果表明：单轴压缩的应力应变曲线为应变软化型曲线,而三轴压缩试验中各围压下的应力应变曲线均为应变硬化型曲线,围压主要影响冻结和林黄土的初始变形行为,而对后期的变形影响不大;各围压下冻结黄土的体积应变都呈现出先体缩后体胀的特征,总体变均较小;围压对冻结和林黄土的屈服极限和强度影响不大;研究了初始切线模量的确定方法,用修正的Duncan-Chang模型对不同应变范围内的试验数据进行拟合,并由此确定了相应的初始切线模量,发现在0~4%应变范围拟合试验数据确定初始切线模量最为合理。     

Deformation mechanism of strain localization in 2D numerical interface tests

Heterogeneity arises in soil subjected to interface shearing, with the strain gradually localizing into a band area. How the strain localization accumulates and develops to form the structure is crucial in explaining some significant constitutive behaviors of the soil–structural interface during shearing, for example, stress hardening, softening, and shear-dilatancy. Using DEM simulation, interface shear tests with a periodic boundary condition are performed to investigate the strain localization process in densely and loosely packed granular soils. Based on the velocity field given by grains’ translational and rotational velocities, several kinematic quantities are analyzed during the loading history to demonstrate the evolution of strain localization. Results suggest that tiny concentrations in the shear deformation have already been observed in the very early stage of the shear test. The degree of the strain localization, quantified by a proposed new indicator, α, steadily ascends during the stress-hardening regime, dramatically jumps prior to the stress peak, and stabilizes at the stress steady state. Loose specimen does not develop a steady pattern at the large strain, as the deformation pattern transforms between localized and diffused failure modes. During the stress steady state of both specimens, remarkable correlations are observed between α and the shear stress, as well as between α and the volumetric strain rate.     

Distortion of planar structures around rigid spherical bodies

Theoretical and experimental results show that determination of sense of rigid rotation from drag-patterns of foliation around a rigid spherical inclusion (such as a porphyroblast of garnet) is not as simple as was previously thought. An asymmetric drag-pattern can develop even when the bulk deformation is non-rotational, provided a pre-existing foliation was initially at an angle to the principal axes of strain.In simple shear, the drag-pattern of a pre-existing foliation around the rigid inclusion may belong to any one of the following four types:

1. (1) asymmetric pattern, with the same sense of drag all over the contact.

2. (2) more or less symmetrical pattern, with different senses of drag at different parts of the contact.

3. (3) asymmetrical pattern, with different senses of drag.

4. (4) pattern with inward bowing of foliation (i.e. convex toward the rigid inclusion).

The geometry of the distorted foliation will depend on the amount of simple shear and the initial angle between the pre-existing foliation and the direction of simple shear.If the development of schistosity and the subsequent development of drag around a rigid porphyroblast are results of the same continuous simple-shear movement, a wellpreserved drag-pattern may be utilized to confirm that the schistosity initially developed perpendicular to the maximum finite compressive strain, provided the total deformation is not very large.     

粗粒土剪胀性大型三轴试验研究

剪胀性是土体显著区别于一般弹性材料的基本特性,与土体的强度和变形特性密切相关。通过4组不同初始密度的塔城砂砾石常规大型三轴试验,研究剪胀性对粗粒土强度和变形特性的影响。试验结果表明,（1）若体变速率（体变和轴向应变均以压缩为正）先从正值减小到负值并达到最小值,随后又有所增大但仍小于0,则应力-应变曲线为软化型,在比值为最小值时土体剪胀性最大,对应于峰值强度,若体变速率从某一正值单调减小并一直大于0,则应力-应变曲线为硬化型;（2）体变变化趋势取决于剪胀性和压缩性的大小,剪切后期若剪胀速率大于压缩速率,则体变先压缩后膨胀,应力-应变曲线呈软化型,反之若剪胀速率小于压缩速率,则体变一直是压缩的,应力-应变曲线呈硬化型。研究结果对于加深认识粗粒土的强度和变形特性具有重要意义。     

应力状态对粗粒料力学特性影响的大型真三轴试验

土石坝所处的应力状态较接近平面应变应力状态或三维应力状态,而常规三轴试验低估了粗粒料的力学性能。应用大型真三轴仪对常规三轴应力状态、平面应变应力状态和真三轴应力状态（ 0.25, 为中主应力系数, 、 、 分别为大、中、小主应力）下粗粒料的力学特性进行了压缩试验研究。试验结果表明：相同小主应力下,常规三轴试验、平面应变试验、真三轴试验的大、小主应力之差与大主应力方向应变的关系曲线依次变高变陡。某一试验加载条件下,体应变随球应力的增大而增大,初始剪切阶段增加较慢,随后呈线性增大,不同小主应力的体应变曲线较为接近。平面应变试验强度和真三轴试验强度比常规三轴试验强度有较大增长,真三轴试验强度增加百分比大于平面应变试验强度增加百分比。初始弹性模量随小主应力的增大呈线性增大。平面应变状态下中主应力系数随大主应力方向应变的增大而增大,初始剪切阶段增长较缓,之后近似呈线性增大。相同小主应力下,从常规三轴应力状态至平面应变应力状态再到真三轴应力状态,小主应力方向应变均为膨胀变形,且膨胀变形依次增大。同一试验加载条件下,小主应力较小时,应力比（偏应力与球应力之比）与偏应变的关系曲线位于上方。     

Deformation analysis of shallow penetration in clay

A new method of analysis is described for estimating the deformations and strains caused by shallow undrained penetration of piles and caissons in clay. The formulation combines previous analyses for steady, deep penetration, with methods used to compute soil deformations due to near-surface ground loss, and is referred to as the Shallow Strain Path Method (SSPM). Complete analytical solutions for the velocity and strain rates are given for a planar wall, an axisymmetric, closed-ended pile and unplugged, open-ended pile geometries. In these examples, the analyses consider a single source penetrating through the soil at a constant rate, generating a family of penetrometers with rounded tips, referred to as simple wall, pile and tube geometries. Soil deformations and strains are obtained by integrating the velocity and strain rates along the particle paths. The transition from shallow to deep penetration is analysed in detail. Shallow penetration causes heave at the ground surface, while settlements occur only in a thin veneer of material adjacent to the shaft and in a bulb-shaped region around the tip. The size of this region increases with the embedment depth. Deformations inside an open-ended pile/caisson are affected significantly by details of the simple tube wall geometry. © 1997 by John Wiley & Sons, Ltd.     

Mechanical and Physical Characterization of Tabriz Marls, Iran

Three types of marls can be found in the Tabriz area (Iran): yellow, green, and gray/black marls. In the present paper, strength and deformation characteristics of Tabriz marls and their stress–strain behavior are investigated by various in situ and laboratory tests. In order to study the deformation behavior of these marls, various experiments such as the pressuremeter test, plate loading test (PLT), seismic wave velocity test, uniaxial compression test, standard penetration test (SPT), and direct shear test were carried out. Ranges of strain at the elastic and failure points were determined. Young’s and shear modulus were obtained. Test results showed that the strength characteristics increase with depth. The value of deformation modulus determined by the pressuremeter test was in good agreement with those obtained from the PLT. This implies that pressuremeter is a suitable in situ test for characterizing the deformation modulus of marl. Deformation modulus obtained from pressuremeter and plate loading tests were approximately 4–5 times the results of uniaxial compressive test and the deformation modulus obtained from seismic data was about 30–50 times the static deformation modulus. Stress–strain curves showed that the maximum value of strain at the elastic and failure points and the minimum value of strength and deformation modulus are corresponding to the yellow marls while the minimum value of strain and the maximum value of strength and deformation modulus are corresponding to the gray/black marls. Some empirical relationships between different characteristics of Tabriz marls were also derived.     

网格对潜孔锤钻头球齿冲击过程数值模拟的影响

潜孔锤钻头冲击钻进的过程是一个高度非线性、大变形、破坏的过程。对这一复杂过程的研究，目前主要是利用实验方法。应用非线性显式三维有限元求解程序LS—DYNA3D，采用与岩石性质较接近的混凝土模型，对潜孔锤钻头硬质合金球齿冲击混凝土板的过程进行了仿真计算，讨论了不同网格尺寸对冲击力、冲击速度及破碎坑深度的影响等。