Damage evolution of rock salt under cyclic loading in unixial tests

Cyclic loading tests of rock salt were performed to investigate the characteristics of damage evolution of the surrounding rock in gas caverns. In this experiment, the cyclic loading process was carried out on seven stress levels from 20 to 86 % of the uniaxial compressive strength. The sine wave with a frequency of 1 Hz was adopted in the cyclic loading test. Experimental results show that at the first stress level, the damage evolution is rather limited or negligible under cyclic loading, which is controlled within the elastic limit. With the increase in stress level, the damage evolution becomes more evident. An increasing tendency of damage variable can be observed if the stress level surpasses 40 % of the uniaxial compressive strength. A maximum damage value of around 0.95 is recorded when the stress level is over 85 % of the uniaxial strength. In this paper, a damage evolution equation is also introduced and good agreement is obtained with the experimental data. Based on the experimental data, it is shown that the design practice of gas cavern concerning the degree of strength utilization of the surrounding rock is rather conservative considering the reducing effect of the minimal gas pressure on the damage evolution.     

岩石蠕变变形的混沌特性研究

对岩石蠕变变形分别进行了流变模型法和试验法的混沌特性研究,分析了其混沌行为的演化过程、进入混沌的通道以及混沌发生的条件,讨论了两种方法的现场工程应用问题以及相关参数的理论和实践意义。研究表明,岩石蠕变变形的发展过程是一种从有序－混沌（无序）－有序的过程。最后,根据岩石蠕变变形的孕育过程具有混沌特征的这一特性,提出控制岩石蠕变系统的应力水平是避免其混沌发生的主要途径。     

考虑初始损伤和蠕变损伤的岩石蠕变全过程本构模型

考虑到天然岩石存在不同程度初始损伤以及蠕变过程中岩石受载后裂隙扩展而导致的新损伤,对具有初始损伤的岩石蠕变特性进行全面描述。根据不闭合结构面应力与法向变形之间的关系,提出裂隙岩石塑性变形体元件,描述岩石蠕变过程中的瞬时塑性变形。引入初始损伤影响因子,建立具有初始损伤的岩石损伤变量演化方程,构建模拟岩石加速蠕变的蠕变损伤体元件。将裂隙岩石塑性变形体和蠕变损伤体与描述瞬时弹性变形和黏弹性变形的广义开尔文模型进行串联组合,形成能够反映具有初始损伤的岩石瞬时弹-塑性变形、稳定蠕变和加速蠕变的蠕变全过程本构模型,提出了进行少量蠕变试验既能解析模型参数的方法,在不同应力水平下模型理论曲线与蠕变试验曲线吻合。     

岩石强度时效性演化模型

在一定的外界荷载作用下,岩石材料的强度会随时间不断降低,在工程上常表现为由于强度的弱化而导致岩体的突发性破坏行为以及岩体的长期强度等不同现象和问题。因此,岩石强度的时间效应研究对岩体工程施工安全和工程长期稳定性都具有重要的指导意义。在对大量试验结果分析的基础上,总结了岩石强度演化规律与内在机制,发现岩石强度的损失与岩石本身的固有强度、所受应力状态（屈服接近度）以及应力作用的持续时间有关,在此基础上,提出了以岩石凝聚力和内摩擦角随上述因素变化为核心的岩石强度时效性演化模型。通过对多组试验数据的模拟分析表明,提出的岩石强度时效性演化模型能很好地描述岩石强度的演化规律,可以较好地定量反映不同应力水平下岩石强度弱化过程,且物理意义明确,为岩石强度的时间效应研究开拓了一个新的思路和方法。     

采动煤岩渗透率演化模型及数值模拟

为描述采动煤岩渗透率演化过程,引入强度退化指数,基于Hoek-Brown强度准则,建立了考虑围压影响的煤岩应变软化力学本构模型。给出了体积应变和渗透率的关系方程,结合应变软化模型建立了采动煤岩渗透率演化模型,并在FLAC下予以实现。通过数值模拟研究了不同围压下圆柱岩样的峰后应变软化力学行为和某煤矿工作面开采过程中煤岩的渗透率演化过程,结果表明：（1）该模型能较好地反映围压对煤岩峰后应变软化行为的影响;（2）随着工作面推进,越来越多的煤岩单元破坏,渗透率也不断增长,逐渐成为瓦斯等流体运移的主要通道。（3）模型能再现采动煤岩渗透率演化的动态过程,从而为煤与瓦斯共采、煤层瓦斯抽放和瓦斯灾害防治提供指导。     

高应力硬岩卸荷岩爆模式及损伤演化分析

针对岩爆形成机制研究的不足,结合岩爆实例和真三轴加、卸荷试验,分析了卸荷岩爆模式,建立了围岩卸荷岩爆发生劈裂破坏和剪切破坏的损伤变量表达式,即损伤演化方程。结果表明,岩爆破裂演化表现为劈裂和剪切的复合破坏形式,不同之处只是劈裂和剪切哪一个所占的成分更大而已;随着剪切成分的增大,爆坑由呈现平底到弧形甚至三角形或V形;随着应力的增加,岩爆倾向性围岩有一段时间的平静期（无损伤）,具体平静期存在时间的长短与围岩卸荷前后的应力水平有关,损伤一旦开始则加速度明显,具有较强的临界敏感性;劈裂总是优先发生的,围岩卸荷后的应力水平越高含剪切成分越大,岩爆也越强烈。     

盐岩三轴间隔疲劳特性试验研究

为研究地下盐穴储气库受间歇性周期注、采循环载荷作用下围岩的非连续疲劳破坏演化过程,对取自巴基斯坦的深层盐岩进行了室内三轴间隔疲劳试验研究,并分析了三轴状态下不同围压、不同应力等级对盐岩间隔疲劳的影响。试验结果表明：（1）与单轴间隔疲劳相比,围压的存在不仅提高了盐岩的抗压强度,而且增加了盐岩的疲劳寿命,围压越高增加的幅度越明显。（2）三轴间隔疲劳试验中,盐岩间隔后循环中的残余应变大于间隔前的残余应变。这与单轴间隔疲劳得到的结果一致,但围压的上升会导致盐岩的残余变形积累速度以及间隔前后循环残余的变形差值都减小。（3）随着应力等级的升高,残余应变以及时间间隔前后的残余应变差值都呈现增大的趋势。     

基于岩石统一能量屈服准则的硬岩损伤模型

为了更准确、便捷地确定深埋地下工程中硬岩的力学行为,开展了如下研究：根据损伤与塑性演化存在相似机制,假设损伤阈值与初始屈服采用相同的确定方法,将岩石统一能量屈服准则作为损伤阈值的判定准则;基于Rabotnov对损伤变量的定义和Lemaitre应变等效性假设,并考虑未损伤部分的应力-应变关系符合广义虎克定律,提出了简化形式的硬岩损伤本构方程;为了更好地表达硬岩从低围压到高围压条件下的脆-延转化特性,提出了改进的Mazars损伤演化方程;基于锦屏T2b大理岩常规三轴压缩试验结果,对损伤模型参数进行求解,并分别与基于Mazars损伤演化方程和Mohr-Coulomb准则为损伤阈值判定准则的损伤模型进行对比,结果表明：提出的损伤模型可更好地表达硬岩从低围压的脆性到高围压的延性转变过程,特别是对损伤阈值后岩石的损伤演化过程的模拟更为精确,对硬脆性岩石的工程计算有一定的借鉴意义。     

Investigation and modeling on fatigue damage evolution of rock as a function of logarithmic cycle

The fatigue damage behavior of granite under constant and variable amplitude loadings is studied. The experimental analysis reveals that there is a three‐stage law for the fatigue damage evolution as a function of absolute or relative cycle and the inverted‐S damage model proposed by the author, in this case, is capable of representing the damage behavior of rock. However, when the logarithmic cycle is considered, there are only two stages, i.e. steady and accelerated stages and the fatigue damage evolution greatly depends on the properties of rock and stress level. Accordingly, the fatigue damage evolution curves have been categorized into three types. Then, the effect of maximum stress, amplitude and fatigue initial damage on the damage evolution of rock is investigated. The analysis reveals that the damage evolution greatly depends on these influencing factors. The fatigue life decreases with the increase in the maximum stress, amplitude and fatigue initial damage due to the decrease in the proportion of the first stage to the whole fatigue process and the increase in the damage rate in the first stage. Meanwhile, a linear‐exponential formula is used to model the fatigue damage behavior of rock subjected to cyclic loading. This damage model is superior to the inverted‐S damage model in the convenience of establishment of critical instability point. The physical meanings of its constants have been illuminated and the applicability of this model to constant and variable amplitude cyclic loading explored. The fitting results for the test data show that this damage model can properly represent the fatigue damage behavior of rock. Copyright © 2010 John Wiley & Sons, Ltd.     

岩石变形破坏全过程的变形场和能量演化研究

以白光数字散斑相关方法作为试验观测手段,通过单轴压缩试验对一种红砂岩变形破坏全过程的变形场和能量演化特征进行研究。利用CCD(charge-coupled device)相机记录试验加载全过程的试件表面散斑场图像,采用数字散斑相关方法对试验图像进行分析,计算得到了岩石变形破坏过程中试件表面变形场、变形局部化区域的位移错动量值和试件表面变形能密度量值,并对变形局部化带的位移演化和变形能量演化特征进行分析。从试验结果分析得出：岩石试件变形局部化带的位移演化在加载峰值前基本上保持线性演化规律,而其位移错动加速与加载峰值点相对应,岩石试件加载峰值后阶段的承载力变化主要受变形局部化带的位移演化影响;岩石试件在加载过程中的能量释放和能量积累规律与局部化带的演化有关,体现出局部能量释放和整体能量释放两种形式。     

岩石低周疲劳损伤模型与损伤变量表达方法

在岩石（体）工程领域,周期荷载作用下岩石的疲劳破坏特性与岩体的长期稳定性密切相关。针对目前对混凝土疲劳损伤研究较多,但对岩石疲劳损伤研究相对较少这一现状,运用损伤力学方法对以累积塑性应变表达的损伤变量进行了分析,指出了目前常用的以累积塑性应变表达的损伤变量表达式存在的理论上的缺点,建立了一种新的岩石疲劳损伤变量表达方法。为研究岩石在疲劳荷载作用下力学性能不断劣化的过程,从连续介质损伤力学的基本理论出发,分析岩石在疲劳荷载下的损伤发展和变形规律,并考虑岩石材料的硬化特性,推导了低周疲劳损伤演化方程,经低周疲劳试验数据分析,所建模型可以较好地反映岩石的疲劳损伤演化规律,可用于岩石在低周疲劳荷载作用下的有限元分析。     

Nature of alkalic volcanic rock series

The alkalic rocks are here regarded as a category in a classification of igneous rock series (rock associations) and not as a class in petrographic systematics. The alkalic series as a whole are characterized by higher Na₂O+K₂O content than the subalkalic series in the alkali vs. SiO₂ diagram.At least three different trends (types) of differentiation appear to exist in large-scale alkalic volcanic associations. One (here designated as the Kennedy trend) starts from weakly nepheline-normative basalt and shows increasing normative nepheline with advancing fractionation to reach a phonolitic composition. Another (here called the Coombs trend) starts from hypersthene-normative basalt and shows increasing normative hypersthene and then normative quartz with advancing fractionation to reach a comenditic composition. Besides these two trends, it seems that many alkalic associations exist which show a differentiation trend starting from nepheline-normative basaltic composition and leading to hypersthenenormative, and then to quartz-normative compositions (here designated as the straddle-B type).Alkalic rocks of these three trends are higher not only in Na₂O+K₂O but also in Rb, Ba, Sr and Zr than subalkalic rocks. The alkalic basalts as a whole are characterized by higher contents of such elements and not by any degree of silica undersaturation. It is widely believed that alkalic rocks are characterized by the presence of normative nepheline as well as by the absence of orthopyroxene and pigeonite. Indeed such a relationship holds for the Kennedy trend, but it is not always valid for other types of alkalic associations. Some alkalic rocks of the Coombs trend and straddle-B type have quartz (or other silica minerals) and orthopyroxene and pigeonite.     

分级循环荷载下岩石动力学行为试验研究

利用WDT-1500多功能材料试验机,对砂岩、砾岩和砂砾岩进行了分级循环荷载试验,研究了岩石的动弹性模量对应力幅值和应力水平的响应特性,得到了动弹性模量和耗散能随应力幅值、应力水平及含水率的变化规律。试验结果表明,分级循环荷载下岩石的能量耗散越多,动弹性模量越小;应力水平越高,动弹性模量和耗散能越大;含水率和应力幅值越大,动弹性模量越小,耗散能越大。讨论了邓肯-张模型能够描述分级循环荷载作用下岩石的应力-应变关系,构建了动弹性模量随应力水平、应力幅值及含水率变化的演化模型,探讨了模型参数的确定方法。根据能量耗散的经验法则,建立了耗散能演化模型,结果表明,该模型能够描述分级循环荷载过程中能量耗散行为。     

Microplane damage model for jointed rock masses

The paper presents a new microplane constitutive model for the inelastic behavior of jointed rock masses that takes into account the mechanical behavior and geometric characteristics of cracks and joints. The basic idea is that the microplane modeling of rock masses under general triaxial loading, including compression, requires the isotropic rock matrix and the joints to be considered as two distinct phases coupled in parallel. A joint continuity factor is defined as a microplane damage variable to represent the stress‐carrying area fraction of the joint phase. Based on the assumption of parallel coupling between the rock joint and the rock matrix, the overall mechanical behavior of the rock is characterized by microplane constitutive laws for the rock matrix and for the rock joints, along with an evolution law for the microplane joint continuity factor. The inelastic response of the rock matrix and the rock joints is controlled on the microplane level by the stress–strain boundaries. Based on the arguments enunciated in developing the new microplane model M7 for concrete, the previously used volumetric–deviatoric splits of the elastic strains and of the tensile boundary are avoided. The boundaries are tensile normal, compressive normal, and shear. The numerical simulations demonstrate satisfactory fits of published triaxial test data on sandstone and on jointed plaster mortar, including quintessential features such as the strain softening and dilatancy under low confining pressure, as well as the brittle–ductile transition under higher confining pressure, and the decrease of jointed rock strength and Young's modulus with an increasing dip angle of the joint. Copyright © 2014 John Wiley & Sons, Ltd.     

渗透压力对裂隙岩体损伤破坏的研究

基于Betti能量互易定理推导了含水裂隙岩体初始损伤柔度张量和损伤演化方程,建立了考虑渗透压力的裂隙岩体脆弹性断裂损伤本构模型。并提出采用渗透压力附加柔度张量的概念来定义渗透压力对岩体力学特性的影响。工程算例结果表明：当岩体中有地下水活动时,考虑渗透压力对损伤区的影响是十分必要的。     

热-应力-损伤耦合作用下深埋隧洞围岩稳定性分析

以热力学和弹塑性力学理论为基础,分析岩石热-力完全耦合作用及其对力学参数和热特性参数的影响,建立了岩石热-力-损伤耦合模型及其参数演化方程,以ABAQUS软件为平台对其进行二次开发,并通过典型算例验证了岩石热-力完全耦合的重要性。然后以某深埋软岩隧洞为例,研究温度和开挖卸载共同作用下的隧洞围岩力学行为和损伤过程。计算结果表明：温度对岩石的力学性质和损伤演化过程影响显著,开挖损伤和热应力诱发的损伤对围岩热力学参数的影响不可忽略;所提出的力学模型可以有效反映围岩损伤演化、调热圈演化以及热力学参数演化,具有一定的借鉴作用。     

循环荷载作用下岩石劈裂结构面剪切力学特性演化与影响因素研究

基于现有结构面剪切力学特性研究中对简单几何形态结构面研究多,天然形态结构面研究少,力学性质演化研究多,几何形态演化研究少的研究现状,通过巴西劈裂试验制备近天然形态岩石结构面,并采用模拟材料批量复制劈裂结构面试样的方法,开展循环荷载作用下岩石劈裂结构面的剪切力学特性演化规律与影响因素研究,分析法向应力、循环剪切次数、岩壁强度以及结构面粗糙度对循环剪切作用下岩体结构面力学特性和形貌特征的影响。最终通过在黏着摩擦理论-Barton经验公式中引入与循环剪切次数Nd有关的负指数假定劣化参数,提出了岩体结构面循环剪切强度公式。研究结果表明：法向应力、岩壁强度、结构面粗糙度越大,结构面的最大剪应力越大;法向应力、循环剪切次数、结构面粗糙度越大,岩壁强度越小,则归一化粗糙度参数越小。提出的循环剪切强度公式较好地验证了试验结果,可为工程安全设计提供理论参考。     

Bonded-particle model-based simulation of artificial rock subjected to cyclic loading

A nonlinear parallel-bonded stress corrosion (NPSC) model is proposed to simulate the fatigue characteristics of artificial rock (concrete) during cyclic loading. Numerical simulations of fatigue tests replicate the main mechanical features of concrete specimens subjected to cyclic loading observed in the laboratory. A nonlinear reduction speed of the bond diameter between two bonded particles represents the damage rate induced by the fatigue load. The damage rate is proportional to the maximum cyclic load level when the minimum cyclic load level is fixed. Compared with laboratory data, a logarithmic function of bond diameter in the NPSC model resulted in the best fit to simulate the fatigue behaviour of concrete. The simulation includes acoustic emission (AE) monitoring during fatigue tests. The axial strain of the assembly is governed by the evolution of bond breakages. The sum of released bond strain energy is documented as value proportional to cumulative AE energy. The simulation results show very similar evolution compared with laboratory data, which verifies the effectiveness of AE energy simulation.

     

基于图像检索技术的岩石单轴压缩破坏过程CT描述

基于X射线的CT扫描技术,因其具有多层位、对同一岩石试件可连续、无损扫描等优点,在岩石力学与工程研究中得到了广泛应用。对岩石单轴压缩破坏过程进行实时CT扫描,也是岩石力学研究的重要内容之一。针对三维显微CT试验系统实时监测煤岩单轴压缩破坏过程中,因位移误差会引起扫描层定位不准确,进而影响试验结果这一基本问题,提出了基于图像检索技术的CT扫描图像处理方法。通过对煤岩试样在单轴载荷作用下破坏过程的CT实时监测,并引入基于Manhattan距离的相似性计算方法,检索出岩石试件同一层位在不同应力状态下的相似扫描层。结果表明,采用图像检索的方法,可以有效地减小煤岩在加载破坏过程中位移误差的影响,更好地通过CT图像来描述煤岩在不同应力状态下的微裂纹分布状况和演化规律,从而在细观层次上揭示岩石在单轴压缩条件下破坏的基本规律。     

基于裂隙岩样的多组贯穿裂隙岩体峰后应力-应变曲线研究

在岩土工程中,裂隙岩体经常处于峰后变形状态,研究裂隙岩体的峰后应力-应变关系对预测结构的稳定性有重要意义。基于峰后软化阶段强度参数的逐渐演化行为,首先提出一个求岩石峰后应力-应变关系和裂隙峰后应力-切向位移关系的一般方法。然后采用摩尔-库仑强度准则,以岩石的最大主应变和裂隙的切向位移作为软化参数,假设强度参数为软化参数的分段线性函数,分岩体沿裂隙滑移破坏和沿岩石剪切破坏两种情况,提出多组贯穿裂隙岩体峰后应力-应变关系式的求法。最后,在算例中,分岩体沿裂隙滑移破坏和沿岩石剪切破坏两种情况给出了裂隙岩体的峰后应力-应变曲线,讨论了裂隙的平均间距、法向刚度和剪切刚度对峰后应变的影响。结果表明,裂隙的平均间距、法向刚度和剪切刚度越小,裂隙岩体的轴向应变越大。