大理岩静态和循环荷载试件的电镜试验分析

本文对单轴静态和循环荷载试验前后的大理岩试件进行了电镜试验分析,从中得出三个结论:(1) 试件中不同的部位,其破坏程度不同;(2) 对试件用不同的加载方式,其破坏方式和特征不同;(3) 在疲劳应力门槛值(疲劳应力极限值。以下,称疲劳应力门槛值)以下的循环幅值荷载作用下,岩石内部的裂隙等发生闭合,这是证明岩石疲劳应力门槛值存在的一个重要试验证据。     

大理岩静态和特环荷载试件的电镜试验分析

In this paper, crack propagation laws were studied by means of observing marble specimens, which were conducted uniaxial static and cyclic loading tests, with electron-microscope. The studying results showed: (1) Different parts of rock specimen suffer differential degree damage; (2) Failure models and characteristics of rock specimens change with loading paths; (3) Rock cracks are to be closed, when amplitude of cyclic stress is smaller than “fatigue threshold stress” of rock. This is mainly testimony of “rock fatigue threshold stress” existence.     

不同卸围压速率下煤样卸荷破坏能量演化特征

岩体破坏实际上是在能量驱动下的一种状态失稳现象,其变形破坏过程中的能量演化规律能够反映岩体变形破坏的本质特征。为探求煤样破坏过程中能量的演化规律,对其进行了常规三轴及不同卸围压速率的三轴卸围压试验。试验结果表明:不同试验路径下,煤样在峰值应力前以能量的存储及耗散为主,在峰值应力后以能量的释放及耗散为主;煤样在较高的卸围压速率下,卸荷段经历时间较短,内部裂纹扩展及环向变形不充分,耗散能和克服围压做功耗能都较小,大量的能量在破裂时释放出来,破裂更加剧烈;同时,卸围压速率越快,煤样在破裂前后损伤量增加速率越快,损伤曲线急剧增高,因此,高应力煤岩体在开挖卸荷时,在岩体开挖施工速度较快时,极易引起大量积聚能量的突然释放,造成严重的灾害。     

周期荷载下盐岩的疲劳变形及损伤特性研究

利用RMT－150C型岩石力学多功能试验机,进行了盐岩单轴循环荷载作用下的疲劳试验,研究了盐岩的疲劳强度、变形及损伤特性。试验结果表明,当上限应力大于“门槛值”时,盐岩疲劳破坏时的轴向应变可以分为初始变形、等速变形和加速变形3个阶段,呈疏－密－疏的发展过程。改变上限应力和平均应力会显著影响疲劳的进程,提高上限应力值和平均应力值,初始轴向变形和循环轴向变形的比率都会提高,疲劳破坏时的总循环次数显著减小。盐岩疲劳破坏终点的变形量同样受静态轴向应力-应变全过程曲线的控制,控制误差范围在10%左右。循环荷载作用下,盐岩的变形模量经历了一个先逐渐增加,后缓慢降低,最后加速减小的过程。对循环荷载作用下盐岩疲劳损伤演化规律进行了初步探讨     

复杂应力路径下饱水砂岩宏细观力学特性研究

饱水作用对砂岩变形及强度特征影响显著,考虑岩体实际赋存环境,为了解复杂应力路径下饱水砂岩宏细观力学特性,利用RMT-150C岩石力学多功能试验机及SEM电镜扫描技术,对饱水砂岩进行循环荷载作用后卸荷破坏试验,研究不同影响因素作用下的疲劳损伤特征,重点分析了加载频率、上限应力等因素对卸荷变形、强度及细观损伤特征的影响规律。研究表明,根据试验设计方案获得的饱水砂岩应力-应变曲线大致可以划分为5个典型阶段,其中,同一应力状态下,疲劳损伤阶段轴向不可逆应变在等速变形阶段的应变速率随加载频率的增大迅速增加,这表明上限应力的“门槛值”极有可能是变化的,且与加载频率及循环次数密切相关;同时,卸围压变形破坏阶段的总应变及围压卸荷量均随加载频率（或上限应力）的增大而减小,与该阶段持续时间随加载频率（或上限应力）的变化规律一致。不仅如此,通过分析饱水砂岩破坏面细观损伤特征发现,加载频率与上限应力作用下的细观损伤特征差异显著,其中破坏面微裂隙面积占比随加载频率增大而减小,上限应力则恰好相反。     

Experiment and Study on Mechanical Property of Sandstone Post-peak Under the Cyclic Loading and Unloading

Engineering research has shown that the surrounding rock of deep roadways experienced many times of post-peak cyclic loading and unloading. So studying on rock mechanical characteristics of post-peak loading and unloading is helpful to control the deep surrounding rocks. The test using RMT-150B rock mechanics testing system, to experiment on the mechanical properties of sandstone of post-peak cyclic loading and unloading. The results show that: the stress–strain curves of post-peak cyclic loading and unloading have significant plastic hysteretic loops. The area of plastic hysteretic loops gloss back. The enveloping outer enclosure of cycle loading curve is the similar as the stress–strain curves of strain softening stage when the samples failure, which shows that post-peak failure of rocks have significant memory. With the increase of cycles, the cumulative deterioration parameters are gradually increased, and the ultimate bearing capacity, elastic of loading section of samples and cumulative deterioration parameters conform with the exponential attenuation function with constant term. With the increase of surrounding pressure, the total energy, dissipated energy and elastic energy of samples are gradually increased. With the increase of cycles, the total energy, dissipated energy and elastic energy of samples all are gradually decreasing, the rate of reduction decreases gradually. The samples exist in vertical splitting and transverse shear combination failure under the post-peak uniaxial cycles, or exist in shear failure under the post-peak triaxial cycles. The shear plane exists slip traces.     

循环载荷下含水砂岩裂纹演化与损伤特征试验研究

基于矿井地下水库岩体频繁受到矿震、采动应力等循环荷载扰动这一工程背景,在实验室条件下开展了不同含水率砂岩单轴及循环加卸载试验,采用数字散斑技术,揭示了不同含水率砂岩裂纹扩展及破坏规律,基于电镜扫描微观分析,获得了循环载荷下不同含水砂岩微观劣化机制。试验结果表明：单轴及循环加卸载条件下,随着含水率增大,砂岩峰值强度均逐渐降低。干燥砂岩峰值轴向应变经历初始变形、等速变形、加速变形和失稳破坏4个阶段,含水砂岩经历初始变形、等速变形和失稳破坏3个阶段;随着含水率的增大,对应阶段内峰值轴向应变逐渐减小。通过变形率分析法验证发现,水对砂岩的变形记忆特性并无影响。单轴循环加卸载条件下,砂岩的破坏模式由干燥时的张拉−劈裂破坏逐渐向拉−剪混合破坏过渡,至饱和状态时呈现单一的剪切破坏。电镜扫描结果表明,随含水率增大,破裂结构面逐渐由光滑结构、浑圆状结构、片状结构向完全破碎结构过渡。随着含水率增大,绝对损伤参数不断增大,从侧面反映水岩耦合损伤的正相关性;累计损伤参数累积速率更快,同一循环周次下,累计损伤参数也更大。     

砂岩分级加卸载蠕变试验过程能量演化分析

对陕西柠条塔砂岩样品进行单轴分级加卸载蠕变试验，分析样品变形破坏过程中的能量演化规律。结果表明：随循环级数增加，各级耗散能非线性增长，各级塑性应变能相对稳定；耗散能超过塑性应变能可作为样品破坏的先兆能量特征。通过定义相关系数，建立能量与变形之间的关系后发现：随循环级数增加，各级塑性应变能与各级新增塑性应变呈正相关性，各级耗散能与塑性应变累积量呈正相关性。分别对加载、蠕变、卸载及恢复等4个阶段的能量计算后得出：各阶段能量演化速率均随循环级数的增加而增大。加、卸载速率恒定时，加载段能量变化率大于同级卸载段能量变化率，蠕变段能量变化率大于同级恢复段能量变化率。通过分析各级循环加载段能量变化规律，提出能量衰减系数 ，该值随应力水平增长呈幂函数形式降低，以此提出一种可以有效预测破坏应力的方法。     

Experimental evaluation of sandstone under cyclic coupled compression-shear loading: fatigue mechanical response and failure behavior

In this study, the inclined sandstone specimen is introduced into cyclic loading tests to fulfill the coupled compression-shear loading state. 21 cyclic coupled compression-shear loading tests are conducted on inclined specimens under different loading conditions, including maximum stress levels ranging in 0.80, 0.85, 0.90 and 0.95, and amplitude levels varying in 0.40, 0.50, 0.60 and 0.70. Our testing results systematically revealed the influence of cyclic loading parameters on fatigue mechanical response of rocks under coupled compression-shear loading, regarding the deformation characteristics, energy evolution, damage variable and failure mechanism. Under higher maximum stress or cyclic amplitude, inclined rocks are characterized by larger elastic modulus and higher dissipated energy, resulting in less irreversible strain, faster damage accumulation and shorter fatigue life. Furthermore, a fatigue life prediction method is proposed based on the energy dissipation, and its reliability is verified by comparing with experimental results. In addition, the progressive cracking behavior of rocks is analyzed during the fatigue tests by virtue of digital image correlation technique. Under cyclic coupled compression-shear loading, rock specimens are featured by a prominent shear-dominated failure along its short diagonal direction combined with local tensile damage along the loading orientation.

     

不同含水状态砂岩分级循环荷载试验研究

为探究不同含水状态砂岩在循环荷载作用下的力学行为差异,对干燥、天然以及饱和三种含水状态下的砂岩进行了单轴分级循环加卸载试验。研究结果表明:由于水对砂岩的物理化学软化作用,饱水、天然以及干燥状态下的强度依次递减,而变形依次增加;卸载模量随着循环周次的增加呈先增大后减小的整体趋势,同一循环周次下,含水量越高,其卸载模量越小;体积应变开始出现拐点时的循环周次正好与卸载模量转折点所处的加卸载周次相对应;能量值随循环周次的增加均呈幂函数型增长,同一循环周次下,含水率越高的砂岩各项能量值越大;基于能量耗散的损伤定义表明:砂岩初始损伤值不为零,且均经历了一个先减小后增大的损伤演化过程,相同循环周次下,饱和、天然以及干燥砂岩的损伤量依次增大。     

Numerical Study of Failure Mechanism of Serial and Parallel Rock Pillars

Using a numerical modelling code, rock failure process analysis, 2D, the progressive failure process and associated acoustic emission behaviour of serial and parallel rock samples were simulated. Both serial- and parallel sample models are presented for investigating the mechanism of rock pillar failure. As expected, the numerical results show that not only the stiffness, but also the uniaxial compressive strength of the rock plays an important role in pillar instability. For serial pillars, the elastic rebound of a rock pillar with higher uniaxial compressive strength can lead to the sudden failure of an adjacent rock pillar with lower uniaxial compressive strength. The failure zone forms and develops in the pillar with lower uniaxial compressive strength; however, the failure zone does not pass across the interface of the two pillars. In comparison, when two pillars have the same uniaxial compressive strengths but different elastic moduli, both serial pillars fail, and the failure zone in the two pillars can interact, passing across the interface and entering the other pillar. For parallel pillars, damage always develops in the pillar having the lower uniaxial compressive strength or lower elastic modulus. Furthermore, in accordance with the Kaiser effect, the stress-induced damage in a rock pillar is irreversible, and only when the previous stress state in the failed rock pillar is exceeded or the subsequent applied energy is larger than the energy released by the external loading will further damage continue to occur. In addition, the homogeneity index of rock also can affect the failure modes of parallel pillars, even though the uniaxial compressive strength and stiffness of each pillar are the same.     

不同应力路径下英安岩声发射b值特征及破坏前兆

对英安岩岩样开展单轴、常规三轴加荷和三轴卸荷试验,并对试验过程进行声发射监测,研究在3种应力路径下英安岩变形破坏过程的声发射b值特征差异,探索声发射b值在岩石破坏前兆方面的规律。研究结果表明:英安岩岩样的声发射b值特征与加载的应力路径关系密切,加荷路径即单轴路径和常规三轴路径下b值变化规律相似,加荷与卸荷路径下b值变化规律差异较大。单轴和常规三轴加荷试验中,围压对声发射b值特征有较大的影响。围压越大,岩样在破坏前,b值的整体水平越高。岩样在破坏时,声发射b值下降幅度越大、降低速率越快,且b值达到整个过程中的最小值。三轴卸荷试验中,围压对声发射b值特征影响不明显。与常规三轴试验相比,三轴卸荷试验在卸荷至一定水平后,其b值整体水平更低,最终破坏时b值的最小值更小。提出当岩样峰值强度后存在明显的应力跌落,此时声发射b值的快速下降可以作为破坏前兆。b值的临界值要通过大量室内岩石声发射试验的统计结果来确定。将声发射b值快速下降、临界值突破0.6作为试验英安岩岩样的破坏前兆。     

分级加-卸载条件下原煤的渗透及能耗特征研究

利用自主研制的含瓦斯煤热-流-固耦合三轴伺服渗流试验装置,进行了含瓦斯原煤分级加-卸载试验,分析探讨了煤岩的变形、渗透特性及能耗特征,结合能耗特征建立了损伤变量方程。研究结果表明：随分级加-卸载进行,煤样的累积残余变形逐渐增加,相对残余变形先降低,后出现残余变形稳定区,临近煤样破坏又上升。随分级加-卸载进行,渗透率总体变化趋势呈螺旋状先降低,后上升,破坏瞬间急剧增大;定义渗透率绝对恢复率?j和渗透率相对恢复率?x定量分析了加-卸载渗透率的变化情况,发现?j先减小,临近破坏又增大,?x逐渐增大,其中弹性段?x保持在85%～95%,临近破坏超过100%。随分级加-卸载进行,煤体累积耗散能呈指数函数增加,单级循环耗散能增加。随着轴向应力的增加,主应力差增加,损伤变量值增大,且煤样破坏时的损伤变量临界值Dc ≈0.9。     

冻融循环作用下砂岩蠕变特性及损伤模型研究

青藏高原高寒地区岩体长期稳定性受冻融作用影响显著,有必要开展冻融岩石的时效性特征研究。为探讨砂岩在冻融循环作用下的蠕变劣化特性,基于不同冻融循环次数后石英砂岩及红砂岩单轴蠕变试验结果,深入分析了冻融循环对砂岩各蠕变阶段的影响特征。研究表明,在非屈服应力条件下,试样在衰减蠕变阶段的蠕变时长随着冻融循环次数的增加而明显减小,对应蠕变量及蠕变速率增大;在屈服应力条件下,试样进入加速蠕变阶段的应力阈值随着冻融循环次数的增加而逐渐降低,对应从稳定蠕变到加速破坏所经历的时间更短,破坏时累计的应变增量更大;在长期荷载作用下,试样的宏观破裂形态随循环次数的增加逐步由单一斜剪切破坏模式向共轭断面拉剪复合型破坏模式演化。根据试验结果,提出了具有冻融与长期受荷劣化特征的非定常性黏弹性系数损伤演化方程,将其引入西原模型构建了考虑冻融损伤的砂岩蠕变本构模型。利用冻融后红砂岩蠕变试验数据对模型进行了参数辨识与比较分析,验证了模型的正确性及适用性。通过对模型参数进行拟合分析,揭示了黏弹性冻融损伤系数随冻融循环次数的变化规律,表明了长期受荷损伤参数具有控制加速蠕变幅度的重要作用。研究结果对于高寒山区岩体长期稳定性评价具有一定意义。     

深部锚固节理岩体蠕变-疲劳破坏能量演化规律分析

为探究深部岩体在爆破、开挖等扰动荷载下的力学特性,开展锚固岩体在蠕变-疲劳荷载下的室内试验,并进一步探究其能量演化规律。结果表明：（1）在疲劳荷载作用下,加锚节理岩体比无锚条件下的滞回环面积小,在施加预应力时,其滞回环面积又大幅度减少,说明加锚预应力能有效降低其能量损耗;（2）岩石强度越高,其滞回环面积越小,对应的能量耗散越小,反之能量耗散大;（3）对比不同加卸载速率可知：在每一级循环荷载过程中,加卸载速率越大其对应的应变值、切线斜率就越大。考虑加卸载速率对节理岩体劣化作用,依据应变等价原理,得出节理岩体峰值损伤本构方程,并通过试验验证模型的准确性,为深部岩体结构支护提供思路。     

三轴疲劳-卸围压条件下大理岩力学特性试验研究

为了揭示应力扰动和卸载围压作用下大理岩损伤破裂的物理过程和非线性力学行为,采用GCTS RTR-2000伺服加载岩石力学试验机进行了岩石疲劳卸围压试验,同时对破坏试样进行了压后裂纹形态CT扫描可视化分析。结果表明：周期性的加卸载作用对大理岩起到了主因损伤作用,卸围压的作用对大理岩起到了根本性的破坏作用。岩石疲劳循环形成滞回环,滞回环面积由疏变密,滞回环加载和卸载曲线接近重合,加卸载模量近似相等;岩石经过卸围压作用,岩石的轴向、径向和体积应变表现为不同程度增大,表明应变对围压降低具有强敏感性,敏感程度由高到低依次为体积应变、径向应变和轴向应变;由于疲劳循环的影响,卸围压作用产生的围压降幅随循环次数增多而降低,卸围压时长随循环次数增多而减少;量化宏观应变变形,求得应变损伤指数 、 、 ,疲劳循环次数越多,应变损伤指数越大;岩石破坏后细观CT扫描揭示了疲劳循环损伤对岩石破裂形态影响的内在机制。随疲劳循环次数的增加,裂纹密度和规模显著增加。研究成果可为地下工程疲劳活动规律和开挖卸荷问题提供理论和模型支撑。     

盐岩循环加卸载过程中的速率效应试验研究

作为一种典型软岩,盐岩力学特性的时间相关性显著,准确预测和评估盐穴储气库加卸载过程中的变形损伤能力,关系到能源储备库的长期安全稳定运行。为研究盐岩的速率效应,进行了不同加卸载速率的疲劳试验。基于现有蠕变本构模型,构建了速率效应方程,区分了加卸载过程中的蠕变塑性变形与加载塑性变形。研究结果表明：（1）盐岩的整体疲劳寿命、稳定变形阶段（即第2阶段）疲劳寿命占比基本随加卸载速率的增大而增大。（2）减速变形阶段（即第1阶段）疲劳寿命占比、稳定变形阶段平均残余应变基本随加卸载速率增大而减小。（3）速率耦合疲劳试验中,加卸载速率越大,残余应变越小,蠕变塑性变形随加卸载速率的增大而减小,当加卸载速率由0.04 kN/s增加至5 kN/s时,蠕变塑性变形在循环中的占比由85%下降至36%,呈现出负指数的关系。（4）整个循环加卸载过程中,加载塑性变形、蠕变塑性变形均呈现U型发展趋势,与盐岩疲劳过程的三阶段相对应。该研究结果可以为进一步分析盐岩蠕变塑性与加载塑性奠定基础。     

岩石节理分级剪切加载-蠕变-卸载的能量与变形特征

为分析岩石节理在剪切加载-蠕变-卸载下的能量演化与变形特征,利用GCTS（RDS?200型）岩石剪切测试系统对人工劈裂岩石节理进行分级剪切加载-蠕变-卸载试验。结果表明：在法向应力小于6.5 MPa和大于7.8 MPa时,滞回环面积与循环级数分别符合线性和指数关系;总变形能和弹性变形能与法向应力呈正相关,与循环级数呈指数关系;塑性变形能与循环级数和法向载荷呈正相关。各级剪切应力加载终止时的剪切位移外包络线与直剪应力-位移曲线变化趋势相同,具有加速上升段、匀速上升段和匀速下降段;累积剪切塑性变形随循环级数增加而增大,但增大速率逐渐变慢;各级剪切加、卸载曲线均能以剪切滑移点为界分为两个阶段;剪切失稳前,加、卸载阶段的法向位移-剪切应力曲线出现在上一循环前方,循环剪切加载和（或）蠕变结束时的累积法向变形出现从增加到减小的现象。     

THE ANALYSIS AND COMPUTATION OF A WHOLE DEFORMATION CURVE OF ROCK UNDER UNIAXIAL PRESSURE

The whole deformation curve of rock represents important mechanical behaviour in the deformation and failure of rock .The problem has been deeply studied by numerous scientists .The author intends to deal with the whole deformation curve of rock .As the first step of study .the analogous calculation has been considered with the whole deformation curve of rock under uniaxial pressure in this paper .The mathematical expressions are developed piecewise ,and the constitutive law is given .Then ,the stress state of a rock specimen is computed for loading and unloading cycles step by step under the uniaxial pressure ,using the finite element method .A satisfactory result is obtained .The author will consider the problem about the deformation and failure of rock under the different confining pressure in another related paper .     

单轴压力下岩石全变形曲线的分析计算

一、问题的提出在实验室内,利用刚性加压设备对于岩石标本进行压缩试验,可以得到岩石标本的全变形曲线.该全变形曲线反映出岩石很多重要的力学属性,诸如压密过程、比例极限、应变强化、强度值、应变软化等等.这些力学属性无论是对于分析岩体的破坏机制,还是评价岩体的稳定性问题都是必需的第一手贫料.但实际上,直接用这些资料进行分析计算确不多.