平台巴西劈裂试验确定岩石抗拉强度的理论分析

为了完善平台巴西劈裂试验测定岩石抗拉强度的理论基础,基于二维弹性理论,建立对弦载荷下的平台巴西劈裂力学模型,采用应力场叠加法求得圆盘内的应力近似解析解。该应力理论解与有限元数值解一致,证明理论求解的合理性。在此基础上,对比研究了平台加载角对圆盘内应力大小及应力集中程度的影响,其结果表明：平台加载角越大,圆盘加载处的应力集中程度和压拉应力比都急剧降低,而圆盘内的拉应力值和拉伸区却只有一定程度减小;过大或过小的平台加载角都不利于平台巴西试样发生中心拉伸劈裂破坏,其最优平台加载角在20°~30°之间。最后,依据Griffith强度破坏准则,推得岩石抗拉强度的理论计算公式,其结果与已有抗拉强度经验公式及试验所得抗拉强度相符较好。     

巴西劈裂法在层状岩体抗拉强度测试中的分析与讨论EI北大核心CSCD

为分析巴西圆盘劈裂法在层状岩体抗拉强度试验中的适用性,在以往层状岩体巴西圆盘劈裂试验成果分析基础上,选取层理砂岩为试验对象,设计并进行了考虑不同层理角度的砂岩巴西圆盘劈裂试验。分析结果表明,(1)层状岩体抗拉强度的各向异性特点非常明显,层理角度对各种层状岩体的劈裂抗拉强度的影响规律是基本类似的,只是影响程度不一样;(2)不同层理角度圆盘试样的破裂面形状差别较大,其破坏模式可以归纳为直线型、折线型和弧形型;(3)当层理角度0°<β<90°时,破裂面的发展规律不能严格满足巴西圆盘劈裂试验力学理论模型的假定,采用式(1)计算得到的劈裂抗拉强度只能是一个近似的值;(4)当圆盘试样加载线两侧的岩石材料、层理结构对称分布时,加载时圆盘内的应力分布可以较好地满足其理论计算模型,其试验结果比较准确。研究成果可为层状岩体抗拉强度的准确测定提供较好的参考。     

巴西劈裂法在层状岩体抗拉强度测试中的分析与讨论

为分析巴西圆盘劈裂法在层状岩体抗拉强度试验中的适用性,在以往层状岩体巴西圆盘劈裂试验成果分析基础上,选取层理砂岩为试验对象,设计并进行了考虑不同层理角度的砂岩巴西圆盘劈裂试验。分析结果表明,（1）层状岩体抗拉强度的各向异性特点非常明显,层理角度对各种层状岩体的劈裂抗拉强度的影响规律是基本类似的,只是影响程度不一样;（2）不同层理角度圆盘试样的破裂面形状差别较大,其破坏模式可以归纳为直线型、折线型和弧形型;（3）当层理角度0°＜β＜90°时,破裂面的发展规律不能严格满足巴西圆盘劈裂试验力学理论模型的假定,采用式（1）计算得到的劈裂抗拉强度只能是一个近似的值;（4）当圆盘试样加载线两侧的岩石材料、层理结构对称分布时,加载时圆盘内的应力分布可以较好地满足其理论计算模型,其试验结果比较准确。研究成果可为层状岩体抗拉强度的准确测定提供较好的参考。     

岩石巴西圆盘试验中的空间拉应力分布

指出目前人们使用了40多年的岩石巴西圆盘试验拉伸强度公式来自二维弹性力学解答,该公式不适用于实际情况所对应的三维弹性力学问题。为了得到三维条件下试样内部的应力分布规律,采用三维有限元分析软件Marc对试样进行了弹性受力分析,结果表明,试样横截面上的拉应力分布规律与二维条件下的情况相类似,但横截面上的应力值沿试样厚度方向是有变化的,越靠近两端面,水平拉应力越大。分析发现,对于高径比为1、泊松比为0.25的巴西圆盘试样,按二维公式计算的抗拉强度比真实值小23.3 %     

热处理砂岩不同接触角巴西劈裂数值模拟研究

基于颗粒流程序（particle flow code,PFC）,对不同接触角（2a = 6º～30º）条件下25～1 000 ℃砂岩进行巴西劈裂模拟试验,研究其应力分布和破裂模式,并将巴西劈裂与直接拉伸进行对比。研究表明：（1）巴西劈裂中,面接触加载可以降低端部效应,加载过程中首先在圆盘中部产生拉裂纹,随着荷载的升高,拉裂纹汇集、扩展、贯通。（2）平板点接触巴西劈裂测得的抗拉强度小于直接拉伸强度,其抗拉强度计算公式的修正系数k随温度T的升高线性减小,满足k = −3.303×10⁻⁴T+1.468。随着接触角的增大,不同温度处理后巴西圆盘的抗拉强度均呈现出增大的趋势。（3）在2a≥18º时,巴西圆盘可以保证中心起裂;2a = 18º～24º时,圆盘在不同温度下破裂模式稳定;在接触角过大（2a = 30º）时,圆盘在较低温度（≤600 ℃）下会形成倾斜裂纹。（4）结合修正系数和破裂模式分析,推荐接触角为18º～24º时,修正系数在0.802 6～ 0.856 0之间,可以保证所有温度试样中心起裂且破裂模式稳定。     

粘性土试样高度对抗拉强度的影响

针对粘性土抗拉强度测试问题,本文设计改装了土样拉伸试验仪,可完成单轴拉伸、巴西劈裂和轴向压裂三种抗拉强度试验。通过不同方法测定土体的抗拉强度,研究了试样高度对各方法强度测量值的影响及其规律。试验结果表明,试样高度对轴向压裂试验测试结果的影响最大,对巴西劈裂试验测试结果影响很小,几乎不影响单轴拉伸试验测试结果。轴向压裂试验中,抗拉强度测试值随试样高度h增大而减小,随衬垫直径增大而增大。巴西劈裂试验中,试样抗拉强度测试值随试样高度增大略有增大。     

径向压缩下圆环砂岩样的力学特性研究

为了研究径向压缩下圆环试样孔壁处的应力特征,利用厚度为34 mm,外径为50 mm的完整圆盘及不同内径（8～30 mm）的圆环砂岩试样,在巴西劈裂试验中测量孔壁的应变变化,分析试样的力学特性。试验结果表明：圆环试样的峰值载荷随着内径的增大而逐渐减少。圆盘和内径较小的圆环试样达到峰值载荷时出现了失稳破坏,载荷迅速跌落：当内径大于 16 mm,圆环试样达到峰值载荷后,载荷略有下降,但是试样并没有出现失稳破坏,而是持续压缩一定时间后才破裂。圆环最弱部位拉应力不是材料参数,而是一个结构参数,且随圆环内径而变化,基于弹性理论的Hobbs公式不能用于计算岩石抗拉强度。孔壁岩石的破裂只能是达到拉伸变形极限才会破裂,不能以拉伸应力作为破坏指标。研究结果为理解岩石在压拉组合下的力学特征提供了参考。     

岩石及类岩石材料的劈裂拉伸与直接拉伸强度

采用自行研制的岩石直接拉伸实验装置,对7种（组）岩石和2组混凝土试样进行了直接拉伸和劈裂法（巴西法）间接拉伸试验。试验结果表明,所有岩石和混凝土试样的劈裂拉伸强度SB均大于直接拉伸强度ST,比值SB/ST的范围,在1.06到1.97之间;直接拉伸强度的偏差系数,通常大于劈裂拉伸强度的偏差系数。根据Sundaram等人对圆盘劈裂试验试样内应力分布的有限元分析的结果,当岩石的拉伸弹模ET小于压缩弹模EC时,试样中实际的应力会与经典弹性力学公式所得结果（EC=ET时的情形）不同,需要进行修正。据此对有关岩石的劈裂拉伸强度进行了修正,并发现,在所试验的岩石中,虽然部分岩石的ET与EC的数值相差不大,其SB/ST比却最高。这说明,拉伸与压缩弹模的差别不是造成两种拉伸强度差别的唯一原因。     

土体抗拉强度试验研究方法的进展

理论上土体的抗拉强度与抗压和抗剪强度一样是描述土体力学性质的重要指标之一,也是研究土体张拉破坏特性的基础。由于土体抗拉强度在数值上相对较小,且难以准确测量,在岩土工程领域常常被忽视。随着工程中的张拉破坏问题越来越突出,土体抗拉强度特性引起许多学者的关注,相关研究成果也越来越多。文中对土体抗拉强度试验研究方法进行了系统的归纳和总结,对比分析了各种方法的优缺点,认识到,（1）土体抗拉强度试验方法总体上可分为直接法和间接法两大类,直接法是在试样两端直接施加拉力直到试样发生张拉破坏,根据破坏时的最大拉力及对应的破裂面面积计算出土体的抗拉强度。间接法主要通过一些理论假设,把压应力转换成相应的拉应力并基于一些理论公式计算土体抗拉强度;（2）按试样受力条件,直接法可分为单轴拉伸和三轴拉伸,一般都需要开发专门的拉伸试验设备,以实现拉力荷载的施加及其在试样内的有效传递。常用的方式有粘结、锚固、模具夹持及摩擦力传递等,都各有优缺点,但模具夹持法相对而言更具操作性。间接法中比较有代表性的有巴西劈裂试验、土梁弯曲试验和轴向压裂试验等,一般较适应于刚度较大的土体如化学固化土。最后,笔者提出了今后该课题的研究重点,包括制定土体抗拉强度试验方法规范及标准,研发简单易操作的土体拉伸试验设备,拉伸试验过程中土吸力的测量及控制方法,土体拉伸过程中应变场的准确获取方法及土体张拉特性的数值模拟研究等。     

双圆环直接拉伸试验试样最优尺寸范围研究

直接拉伸试验是测量岩石抗拉强度最直接有效且最有理论和实际价值的方法,但在传统直接拉伸试验中试样加工难度大,测试设备要求高。为克服传统直接拉伸试验加载困难的缺点,准确测定岩石的抗拉强度,设计研发了多直径岩芯双圆环直接拉伸试验机,从试验和数值模拟两方面重点研究了双圆环直接拉伸试验中试样尺寸的影响和最优取值范围,包括外环直径与试样直径比r1/R、内环直径与试样直径比r2/R、内环直径与外环直径比r2/r1三个比值的最优范围。研究结果发现,外环直径和内环直径满足r1/R=0.62±0.08、r2/R=0.45±0.12、r2/r1=0.64±0.06时内外环根部与内外环重叠部位最大应力值相近,获得的抗拉强度与理论值较一致,与其他试验相比,双圆环直接拉伸试验的结果标准差和振荡系数最小。     

Indirect tensile test assessments for rock materials using 3-D disc-type specimens

Indirect test methods are usually the preferred approach for determining the tensile strength of brittle and quasi-brittle materials such as ceramics, rocks, and concrete. In this paper, the tensile strength of a rock material (Iranian Harsin marble) was obtained indirectly by means of two disc type samples. The test samples were the well-known Brazilian disc and semi-disc specimen under three-point bend loading. Since the existing formula for determining the indirect tensile strength is based on 2-D stress assumption which ignores the effects of specimen thickness, a general 3-D tensile strength formulation was derived for each sample by employing finite element analysis. A series of tensile strength tests were conducted on Harsin white marble using disc and semi-disc specimens with different thicknesses in parallel to finite element analysis. The test results using 3-D formulation showed that the tensile strength of the tested marble depends on the thickness/diameter ratio of the specimen and generally decreases from 11.5 to 7 MPa on increasing the thickness of test samples. The average values of tensile strength were about 8.8 MPa for the Brazilian disc specimen and 9.8 MPa for the semi-disc specimen. The good agreement existing between the results of the two specimens suggests that the semi-disc specimen can also be used for determining the rock tensile strength in addition to using the conventional Brazilian test.     

Experimental and Numerical Studies on Determination of Indirect Tensile Strength of Rocks

Indirect tension tests using Brisbane tuff Brazilian disc specimens under standard Brazilian jaws and various loading arcs were performed. The standard Brazilian indirect tensile tests caused catastrophic, crushing failure of the disc specimens, rather than the expected tensile splitting failure initiated by a central crack. This led to an investigation of the fracturing of Brazilian disc specimens and the existing indirect tensile Brazilian test using steel loading arcs with different angles. The results showed that the ultimate failure load increased with increasing loading arc angles. With no international standard for determining indirect tensile strength of rocks under diametral load, numerical modelling and analytical solutions were undertaken. Numerical simulations using RFPA^2D software were conducted with a heterogeneous material model. The results predicted tensile stress in the discs and visually reproduced the progressive fracture process. It was concluded that standard Brazilian jaws cause catastrophic, crushing failure of the disc specimens instead of producing a central splitting crack. The experimental and numerical results showed that 20° and 30° loading arcs result in diametral splitting fractures starting at the disc centre. Moreover, intrinsic material properties (e.g. fracture toughness) may be used to propose the best loading configuration to determine the indirect tensile strength of rocks. Here, by using numerical outcomes and empirical relationships between fracture toughness and tensile strength, the best loading geometry to obtain the most accurate indirect tensile strength of rocks was the 2α?=?30° loading arc.     

深覆盖层上面板堆石坝的圆弧型防渗墙

覆盖层的防渗设施大都采用混凝土防渗墙。防渗墙在靠近两岸部位及靠近顶部常存在较大的拉应力,易导致混凝土开裂并产生渗漏,影响大坝的安全。采用平面上防渗墙轴线呈圆弧型的防渗墙来改善防渗墙的应力性状,并用三维有限元法数值分析对圆弧型防渗墙与直线型防渗墙的应力变形性状进行分析比较,论证了以圆弧型防渗墙替代直线型防渗墙的技术合理性,建议面板堆石坝坝基防渗采用圆弧型防渗墙更为有利。     

Digital Image Based Approach for Three-Dimensional Mechanical Analysis of Heterogeneous Rocks

Summary This paper presents a digital image based approach for three-dimensional (3-D) numerical simulation and failure analysis of rocks by taking into account the actual 3-D heterogeneity. Digital image techniques are adopted to extract two-dimensional (2-D) material heterogeneity from material surface images. The 2-D image mesostructures are further extrapolated to 3-D cuboid mesostructures by assuming the material surface as a representation of the inner material heterogeneity within a very small depth. The iterative milling and scanning system is set up to generate the 3-D rock mesostructures. A Hong Kong granite specimen is used as an example to demonstrate the procedure of 3-D mesostructure establishment. The mechanical responses and failure process under the conventional Brazilian tensile test condition are examined through numerical analyses. The stress distribution, crack propagation process and failure model of heterogeneous material cases are simulated with a finite difference software. The numerical results indicate that material heterogeneity plays an important role in determining the failure behavior of rocks under external loading.     

岩石多功能剪切试验测试系统研制

详细介绍了所研制的岩石多功能剪切试验测试系统的主要功能、技术指标和仪器组成,并开展了一系列相关力学试验。该试验测试系统主要包括试验装置、测量系统和控制系统3部分,最大法向拉伸应力为40 MPa,最大法向压缩应力为120 MPa,最大水平剪切应力为120 MPa,试样尺寸为50 mm?50 mm?50 mm;可开展多种力学试验,包括直接拉伸试验、直接剪切试验、拉伸-剪切试验和压缩–剪切试验。利用该试验测试系统对花岗岩进行试验研究,研究结果表明：直接拉伸试验中,试样发生脆性破坏,声发射信号瞬间达到峰值,破坏断面表现出拉伸破坏特征;直接剪切试验中,试样发生多次破坏,破坏瞬间声发射信号均发生突增,破坏断面表现出剪切破坏特征;拉伸-剪切试验中,试样在拉应力作用下剪切强度显著降低,声发射信号在破坏阶段表现强烈,破坏断面既有拉伸破坏特征也有一定的剪切破坏特征。上述力学试验结果,表明了所研制的岩石多功能剪切试验测试系统能够开展多种力学试验,为进一步研究岩石的剪切力学特性提供新的测试手段。     

Measurement of Indirect Tensile Strength of Anisotropic Rocks by the Ring Test

Summary This paper presents a new approach, combined with the Boundary Element Method (BEM) analysis and the diametrical compression on a thin disc with a small central hole, referred to as the ring test, for determining the indirect tensile strength of anisotropic rocks. The stress distribution around the hole can be successfully obtained by the proposed single-domain BEM. The complex variable function method was used for conveniently computing the tractions and displacements of a two-dimensional anisotropic body. If we assume that the tensile strength is given by the maximum absolute value of stress in the direction perpendicular to the loaded diameter at the intersection of loaded diameter and the hole, then from the failure load recorded by laboratory testing of ring (disc), the indirect tensile strength of rocks could be obtained. A marble from Hualien (Taiwan) with clearly black-white foliation, which was assumed to be transversely isotropic, was selected to conduct both ring tests and Brazilian tests for evaluating the tensile strength. The variation of the marble tensile strength with the inclination angle of foliation and with the hole size was also investigated. In general, the tensile strength of anisotropic rocks determined by ring test is not a constant, but depends on the elastic properties of rocks, the angle between the planes of rock anisotropy and the loading direction, the diameter of the central hole, and the contact condition of loading.     

Three-Dimensional Numerical Investigations of the Failure Mechanism of a Rock Disc with a Central or Eccentric Hole

The diametrical compression of a circular disc (Brazilian test) or cylinder with a small eccentric hole is a simple but important test to determine the tensile strength of rocks. This paper studies the failure mechanism of circular disc with an eccentric hole by a 3D numerical model (RFPA3D). A feature of the code RFPA3D is that it can numerically simulate the evolution of cracks in three-dimensional space, as well as the heterogeneity of the rock mass. First, numerically simulated Brazilian tests are compared with experimental results. Special attention is given to the effect of the thickness to radius ratio on the failure modes and the peak stress of specimens. The effects of the compressive strength to tensile strength ratio (C/T), the loading arc angle (2α), and the homogeneity index (m) are also studied in the numerical simulations. Secondly, the failure process of a rock disc with a central hole is studied. The effects of the ratio of the internal hole radius (r) to the radius of the rock disc (R) on the failure mode and the peak stress are investigated. Thirdly, the influence of the vertical and horizontal eccentricity of an internal hole on the initiation and propagation of cracks inside a specimen are simulated. The effect of the radius of the eccentric hole and the homogeneity index (m) are also investigated.