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1.
从损伤形成的宏、微观机理出发揭示了损伤演化的模糊性和随机特征,提出了损伤泛函成立于模糊、随机双层数学覆盖之下进而构建了研究广义损伤泛函的广义非确定空间。提出了非线性损伤发展所依据的初始应力场;基于三种典型模糊损伤分布:降半分布、秋千分布、组合秋千分布,提出了平面应变下服从随机β分布的各向异性初始模糊随机损伤场,并基于初始模糊随机损伤有效张量给出粘-弹-塑性初始损伤应力场的模糊随机数值模型。提出并构造了损伤矢量临界值算法并基于此推导了平面应变条件下的损伤有效张量及模糊随机有效弹性矩阵族;由损伤材料粘-弹-塑性应变率演化通式提出了基于修正Mohr-Coulomb损伤破坏准则的粘-弹-塑性模糊随机损伤本构模型。就土方开挖的损伤增益特征,提出并构造了基于模糊衰减模型的模糊随机损伤增量方程,实现了对粘-弹-塑性模糊随机损伤增量方程卸载模型的全面阐述。考虑场内参数的空间离散及随机变异特征,借助本文提出的非线性模糊随机损伤力学模型,就某典型基坑工程开挖进阶过程中的损伤演变及广义可靠性进行了深入探讨,过程揭示了模糊随机损伤模型可以根据场内结构及材料强度耗散情况随时对损伤分布做出调整,以充分反映材料细观粒子间的凝聚或断裂造成的岩土结构宏观方面硬化-屈服-破坏-重分布-愈合等复杂力学性征,得到的规律性认识对于实现岩土工程全面化、精确化分析研究有重要意义。  相似文献   

2.
Summary This paper reports the second part of the study carried out by the authors on the underground explosion-induced stress wave propagation and damage in a rock mass. In the accompanying paper reporting the first part of the study, equivalent material properties were used to model the effects of existing cracks and joints in the rock mass. The rock mass and its properties were treated as deterministic. In this paper, existing random cracks and joints are modeled as statistical initial damage of the rock mass. In numerical calculation, an anisotropic continuum damage model including both the statistical anisotropic initial damage and cumulative damage dependent on principal tensile strain and stochastic critical tensile strain is suggested to model rock mass behavior under explosion loads. The statistical estimation of stress wave propagation in the rock mass due to underground explosion is evaluated by Rosenblueth's point estimate method. The suggested models and statistical solution process are also programmed and linked to Autodyn3D as its user's subroutines. Numerical results are compared with the field test data and those presented in the accompanying paper obtained with equivalent material property approach.  相似文献   

3.
Statistical Analysis of Anisotropic Damage of the Bukit Timah Granite   总被引:1,自引:0,他引:1  
Summary This paper presents a method to analyze probabilistic anisotropic initial damage of a rock mass. A three-dimensional geometric model of cracks in a rock mass is established in terms of several parameters, such as orientations, spacing and normalized sizes of cracks in the rock mass. The dip, dip direction, spacing, and normalized size of cracks of the Bukit Timah granite in Singapore were obtained from visual inspection of rock cores, color TV imaging, and impression packer tests in the boreholes at a site of geological investigation. Using the measured data, probabilistic distribution laws of geometric parameters of cracks on the surface of the boreholes are derived. Based on these statistical distributions and using Monte-Carlo simulation method, the distribution of anisotropic initial damage of the Bukit Timah granite is derived and found to have a beta distribution. This anisotropic initial damage distribution of a rock mass can be used in probabilistic analysis of rock mass responses to both static and dynamic loads.  相似文献   

4.
Analysis of random anisotropic damage mechanics problems of rock mass   总被引:10,自引:0,他引:10  
Summary A probabilistic analysis method of random anisotropic damage mechanics problems is proposed in parts I and II. In part I, based on the measured characteristics of random crack distribution on the surface of a rock specimen, a probabilistic distribution law of damage variables for rock mass is presented as a Beta distribution by using the Monte-Carlo statistical simulation method. In part II, statistical estimation of a damage state and properties of random damaged rock mass are evaluated by Rosenblueth's point estimate method. Combining with the F. E. method, rock mechanics problem for random damaged state have been analyzed.  相似文献   

5.
拉剪应力状态极易导致岩体破坏乃至失稳,为研究节理岩体拉剪破坏规律,开展了拉剪荷载下共面非贯通节理岩体变形破坏的理论与数值计算研究。通过自定义考虑岩石统计损伤演化的Mohr-Coulomb和最大拉应力准则模型,编写力学参数服从Weibull分布的fish函数,研究了拉剪条件下非均质节理岩体的破坏模式及破坏规律,讨论了岩石均质度、法向拉应力及剪切速率对岩体破坏模式及其力学性质的影响。结果表明,(1) 拉剪应力状态下节理岩体的破坏模式以张拉破坏为主,加载初期破坏位置分布散乱,随着加载和损伤演化逐渐形成带状破裂面,岩体宏观力学性质明显降低;(2) 非均质性对岩体破坏影响显著,主要表现为均质度的增加,岩体由弥散型破坏向集中型破坏转变,破裂面起伏度增大,同时岩体的宏观力学性质增强并最终趋向于均质岩体;(3) 低应力水平下拉应力增大不改变节理岩体以拉张破坏为主的破裂模式,但剪切破坏比例明显减少,同时岩体抗剪强度降低,破裂面的粗糙度增大;(4) 剪切速率对岩体力学性质的影响显著,静态加载范围内岩体抗剪强度随剪切速率的增大而增大,且增幅越来越小。  相似文献   

6.
Modeling of wave propagation induced by underground explosion   总被引:5,自引:0,他引:5  
A piecewise linear Drucker–Prager strength criterion and an isotropic continuum damage model with the damage scalar depending on an equivalent tensile strain are suggested to model rock mass behavior under blast loading. A rate-dependent constitutive relation is employed to model the energy dissipation caused by two sources, namely irreversible degradation of damage and permanent deformation caused by plasticity. The suggested model is incorporated with a commercially available software AUTODYN through its user’s subroutine function. Coupling of Euler and Lagrange processors are used to include all the materials under consideration such as explosive, air and rock mass, in the calculation. Using AUTODYN and the suggested model, shock wave propagation in rock mass induced by an underground explosion is simulated. Numerical results obtained agree favorably well with those obtained from an independently conducted field test. It demonstrates that the suggested model can be used to predict the damage area, plastic zone and ground motions generated by underground explosions.  相似文献   

7.
Summary Probabilistic analysis of random anisotropic damage mechanics problems is proposed in Parts of I and II. In Part I, based on the measured characteristics of random crack distribution on the surface of a rock specimen, a probabilistic law of damage variables for rock mass was presented as a Beta distribution by using the Monte-Carlo statistical simulation method. In part II, statistical estimation of a damage state and properties of random damaged rock mass are evaluated by Rosenblueth's point estimate method. Two stability problems involving randomly damaged rock mass have been analyzed using the finite element method, to illustrate the statistical estimation method.  相似文献   

8.
Summary This paper uses the concept of anisotropic damage mechanics to analyze dynamic responses of a granite site under blasting loads. An anisotropic continuum damage model is suggested to model rock mass behavior under blasting loads. The effects of existing cracks and joints in the rock mass are considered by using equivalent rock material properties obtained from both field and laboratory test data. The anisotropic damage accumulations are simulated by continuous degradation of equivalent material stiffness and strength during loading process and are calculated using the exponential function with respect to the principal tensile strain in three directions. The suggested models are programmed and linked to an available computer program Autodyn3D through its user's subroutine capability. Stress wave propagation and damage zone in the rock mass induced by underground explosions are simulated. Numerical results of damaged area, peak particle velocity and acceleration attenuation as well as acceleration time histories and Fourier spectra are compared with those from independent field tests.  相似文献   

9.
岩土工程随机—模糊可靠度的概念和方法   总被引:6,自引:0,他引:6  
岩体最基本属性之一是其力学性质的随机——模糊性。针对这种情况,本文分析了岩土工程随机可靠度理论面临的问题,提出了岩土工程随机——模糊可靠度的概念和计算方法。这种方法将模糊数学原理引入确定性分析,实现模——精结合,既充分考虑了岩石的客观属性,又满足了对工程稳定性定量评价的需要。  相似文献   

10.
In this paper, a new probabilistic approach has been proposed for dealing with the wide scatter in laboratory values of compressive strength test (uni-axial and tri-axial compressive strength tests) data of rock specimens. This wide scatter is essentially due to randomness in number as well as orientation of micro-cracks. In the proposed methodology, Stanley's approach, which uses Weibull's theory based on the weakest link model, has been modified to analyse the compressive strength test data. Stanley's approach is applicable to poly-axial tensile stress conditions. Design of all underground excavations requires, as input data, uni-axial compressive strength and the strength under poly-axial stress conditions. Data from compressive strength tests have been analysed using Weibull's theory and the proposed approach. Corresponding cumulative distribution functions of the state variable, i.e., the applied stress level, have been obtained and goodness-of-fit tests performed to check the fitness of test data to these statistical distributions. These cumulative distribution functions have been subsequently invoked to correlate the applied stress level at failure and the associated risk of failure. The analysis finds its application in specifying the design strength of rocks or rock masses for a permissible probability of failure.  相似文献   

11.
In the present study, the two-dimensional blast model has been simulated using finite element software Abaqus/CAE. The John–Wilkins–Lee equation of state has been used to calculate the pressure caused by the release of the chemical energy of the explosive. Detonation point from center of hole has been defined for the traveling path of explosive energy. Elastoplastic dynamic failure constitutive with kinematic hardening model was adopted for rock mass responses under high explosive pressure to understand the mechanism of blast phenomena. In this model, it is assumed that failure of rock occurs under tensile failure when yield plastic stress exceeded to its static tensile strength. The hydrostatic pressure was used as a failure measure to model dynamic spall or a pressure cut off. Variation of detonation velocity has been measured in terms of simulation blast output energies index results.  相似文献   

12.
边坡模糊可靠性分析隶属函数取值界限研究   总被引:1,自引:0,他引:1  
张永杰  李侑军  李邵军 《岩土力学》2014,35(4):1157-1163
针对岩土参数取值所具有的随机性、模糊性与区间性特征,建议采用隶属函数表征参数取值,分别构造了岩土参数三角形分布、正态分布与拟正态分布隶属函数,并建立了采用隶属函数取值界限表示的不同截集水平岩土参数区间值确定方法,提出分别采用均值加减2.5倍标准差与3倍标准差确定岩土参数三角形分布与拟正态分布隶属函数取值界限,进而以此为基础采用模糊点估计分析方法对工程算例进行分析,结果表明,在截集水平个数为11时,模糊点估计方法所得边坡稳定模糊可靠性指标与蒙特卡洛法所得随机概率可靠性指标精度相当,截集水平个数为9时,评价结果偏安全,建议在工程分析时,截集水平取0.10.9间的9个,该方法计算过程直接简单,计算代价低,更具工程实用性。  相似文献   

13.
In rock engineering, the damage criteria of the rock mass under dynamic loads are generally governed by the threshold values of wave amplitudes, such as the peak particle velocity and the peak particle acceleration. Therefore, the prediction of wave attenuation across fractured rock mass is important on assessing the stability and damage of rock mass under dynamic loads. This paper aims to investigate the applications of the discontinuous deformation analysis (DDA) for modeling wave propagation problems in rock mass. Parametric studies are carried out to obtain an insight into the influencing factors on the accuracy of wave propagations, in terms of the block size, the boundary condition and the incident wave frequency. The reflected and transmitted waves from the interface between two materials are also numerically simulated. To study the tensile failure induced by the reflected wave, the spalling phenomena are modeled under various loading frequencies. The numerical results show that the DDA is capable of modeling the wave propagation in jointed rock mass with a good accuracy. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

14.
深基坑稳定性的模糊随机分析   总被引:5,自引:0,他引:5  
张海涛  何亚伯  肖焕雄 《岩土力学》2004,25(10):1659-1662
基坑稳定性分析中的不确定性主要表现为随机性和模糊性,随机性体现为将各种设计参数作为随机变量, 而模糊性主要体现在其失稳的判断标准上,这与深基坑失稳破坏的模糊特征相吻合。重点阐述了深基坑稳定性分析中的模糊性, 并采用模糊随机方法,推导出基坑稳定性的广义模糊随机计算模型, 该模型可以考虑分析中所涉及到的计算力学参数的随机性和失稳判断标准的模糊性。同时还对基坑失稳概率的标准进行了讨论。最后实例分析了坑底隆起失稳的模糊概率。计算结果说明,模糊随机方法能够更全面、合理地反映基坑的实际稳定性。  相似文献   

15.
岩石损伤过程中的热-流-力耦合模型及其应用初探   总被引:3,自引:0,他引:3  
朱万成  魏晨慧  田军  杨天鸿  唐春安 《岩土力学》2009,30(12):3851-3857
岩石损伤过程热-流-力(THM)耦合问题的研究对于深部采矿等许多工程领域都具有重要的理论意义。以岩石的损伤为主线,在多场耦合分析方程中引入损伤变量,基于质量守恒和能量守恒原理,提出岩体损伤过程中的THM耦合模型。通过把均匀弹性介质THM耦合响应的模拟结果与理论分析结果进行对比,验证了程序及有限元实施的正确性。然后,用该耦合模型进行了不同地应力条件下流固耦合过程的数值模拟,探讨了水压力对于岩石损伤过程的作用机制。数值模拟表明,水压力导致了拉伸损伤范围的扩大和损伤程度的加剧,同时亦对剪切损伤具有抑制作用。  相似文献   

16.
损伤条件下深部岩体巷道光面爆破参数研究   总被引:3,自引:0,他引:3  
付玉华  李夕兵  董陇军 《岩土力学》2010,31(5):1420-1426
岩体条件复杂多变,为了提高光面爆破的适应性、改善光面爆破效果,对损伤条件下深部岩体巷道光面爆破参数进行研究。通过对深部岩体巷道光爆层原岩应力场、光面爆破机制和振动损伤特征进行分析,基于爆炸应力波和爆生气体综合作用理论,考虑高原岩应力和岩石损伤影响,提出了损伤条件下深部岩体巷道光面爆破参数确定的计算方法。研究表明, (1)高原岩应力相当于提高了岩石的抗拉强度,不利于炮孔初始裂纹的形成及贯通,宜减小周边眼间距;(2)岩石损伤后,其他条件不变,光面爆破的炮孔间距和抵抗线值可适当加大;(3)高原岩应力和损伤条件下,光面爆破的炮孔间距较小时,容易造成爆后围岩损伤,降低围岩的稳定性能,因此,提高爆破效果的同时应及时加强支护,以确保施工安全和围岩稳定;(4)本文提出的光面爆破参数计算公式,经现场爆破验证效果良好,适用于复杂多变的岩体环境。  相似文献   

17.
高渗压条件下压剪岩石裂纹断裂损伤演化机制研究   总被引:2,自引:1,他引:1  
刘涛影  曹平  章立峰  赵延林  范祥 《岩土力学》2012,33(6):1801-1815
探讨了高渗透压作用下压剪岩石裂纹的起裂规律及分支裂纹尖端应力强度因子的演变规律,建立了高渗压下裂隙岩体发生拉剪破坏的临界水压力值和初裂强度判据,分析了不同渗压作用下裂纹的扩展情况表明,渗透压的存在加剧了分支裂纹的扩展,高渗透压作用下分支裂纹扩展由稳定扩展变成不稳定扩展,并导致分支裂纹尖端岩桥剪切破坏,同时考虑分支裂纹的相互作用,建立了高渗透压作用下压剪岩石裂纹体岩桥剪切贯通的断裂破坏力学模型,最后依据裂隙岩体的损伤力学效应研究了岩体的初始损伤及损伤演化柔度张量,提出了高渗压下压剪岩石裂纹渐进破坏的损伤演化方程。该理论为定量研究高渗压下裂隙岩体的失稳破坏提供了理论依据。  相似文献   

18.
张超  白允 《岩土力学》2020,41(12):3899-3909
岩石几何损伤模型是建立统计损伤本构模型的重要基础。在岩石变形力学特性基础上对现有岩石几何损伤模型进行了回顾性分析,针对它们难以较好地反映初始损伤特征和峰后变形破坏特征的缺陷与不足,首先,将岩石材料视为由未损伤部分、初始损伤部分和后继损伤部分组成,提出了考虑初始损伤的岩石几何损伤模型;然后,通过探讨Weibull分布参数m和F0对损伤变量变化产生的影响,构建了参数型岩石几何损伤模型,在此基础上建立了应变软化类岩石统计损伤本构模型并进行了修正,给出了模型参数的确定方法;最后,通过模型验证和参数分析表明,修正后模型能够较好地模拟岩石变形破裂全过程,参数l和h对损伤变量变化产生的影响与m和F0等效,解决了现有岩石几何损伤模型存在的共性问题,该模型和方法具有一定的合理性和可行性。  相似文献   

19.
岩石时效损伤模型及其在工程爆破中应用   总被引:2,自引:0,他引:2  
王志亮  郑田中  李永池 《岩土力学》2007,28(8):1615-1620
为了实现爆破智能化,降低爆破带来的负面影响,通过数值模拟预估出岩体中爆破诱发损伤的大小以及分布范围在工程上具有重要意义,其中科学合理的爆破损伤模型是关键。基于岩石介质是连续的、各向同性的、且存在初始裂纹的假设,把考虑时效的岩石拉裂损伤演化方程和双线形弹塑性本构结合起来,通过用户自定义简明地嵌入到大型LS-DYNA软件中,并引入了该软件中的侵蚀算法,对半无限岩体中临空面附近爆破漏斗问题进行了重点数值模拟,计算结果比较接近实际。本文方法在工程中将具有一定的参考价值。  相似文献   

20.
自然灾害系统是一个复杂系统,存在着大量的不确定性,这种不确定性既有随机性,又有模糊性。目前常用的处理地震危险性分析中不确定性因素的方法是概率统计方法,但是很多情况下随机性和模糊性是共存的。为此引入模糊集理论,将随机性与模糊性相结合,即在概率风险的基础上,结合事件发生概率的可能性,应用信息分配方法;在不完备数据的基础上构造计算模糊随机风险的模型。通过实例计算得到的结果精确度较高。  相似文献   

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