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1.
The several reactivations of the landslide of Ain El Hammam (AEH) after each important weather event compel us to look closely at its triggering factors and predict its mechanisms and its evolution at the longer term. In this sense, the prediction of the slope behavior becomes necessary. This paper presents a numerical model of the AEH landslide using Plaxis® software. This model considers hydraulic effects such as precipitation and pore pressure even in the unsaturated parts. Soil and rock behaviors are described with proper elasto-plastic models named Hardening Soils and Jointed Rocks. The first model takes into account hardening on isotropic and deviatoric mechanism as well as a non-associated flow rule. The second model considers a non-isotropic elasticity with perfect plasticity along with given sliding directions. The hydraulic and mechanical models are coupled with an effective stress concept. To detect unstable areas in the landslide, we developed a Matlab® program to take into account the Hill’s bifurcation criterion, which is based on sign of the second-order work. It has been proved that this criterion allows detecting all failure modes that can appear in rate-independent materials and especially the ones that develop before the plasticity limit criterion. From such computations, we can predict the shape and position of slip surface responsible of the actual ground movement of the slope. To validate the numerical results, analysis of field measurement is included. We use high resolution of electrical tomography to delineate the geometry and position of failure surface and approve our results. 相似文献
2.
Richard Wan Mauricio Pinheiro Ali Daouadji Mohamad Jrad Félix Darve 《国际地质力学数值与分析法杂志》2013,37(10):1292-1311
This paper is concerned with diffuse and other ensuing failure modes in geomaterials when tested under homogeneous states of shearing in various loading programs and drainage conditions. Material instability is indeed the basic property that accounts for the instability of an initially homogeneous deformation field leading to diffuse failure and strain localization in geomaterials. The former is normally characterized by a runaway type of failure accompanied with a sudden and violent collapse of the material in the absence of any localization phenomena. Against this backdrop, we present a brief overview of material instability in elastoplastic solids where one finds a rich source of theoretical concepts including bifurcation, strain localization, diffuse failure and second‐order work, as well as a considerable body of experiments. Some compelling laboratory experimental studies of material instability with focus to diffuse failure are then presented and interpreted based on the second‐order work. Finally, various material instability analyses using an elastoplastic constitutive and a general finite element analysis of the above‐mentioned laboratory experimental tests are presented as a boundary value problem. It is shown that instability can be captured from otherwise uniform stress, density and hydraulic states, whereas uniform deviatoric loads are being applied on the external boundaries of a specimen. Although the numerical simulations reproduce well the laboratory experimental results, they also highlight the hierarchy of failure modes where localization phenomena emerge in the post‐bifurcation regime as a result of a degradation of homogeneity starting from a diffuse mode signalled by a zero second‐order work. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
3.
4.
This paper presents a second-order work analysis in application to geotechnical problems by using a novel effective multiscale approach. To abandon complicated equations involved in conventional phenomenological models, this multiscale approach employs a micromechanically-based formulation, in which only four parameters are involved. The multiscale approach makes it possible a coupling of the finite element method (FEM) and the micromechanically-based model. The FEM is used to solve the boundary value problem (BVP) while the micromechanically-based model is utilized at the Gauss point of the FEM. Then, the multiscale approach is used to simulate a three-dimensional triaxial test and a plain-strain footing. On the basis of the simulations, material instabilities are analyzed at both mesoscale and global scale. The second-order work criterion is then used to analyze the numerical results. It opens a road to interpret and understand the micromechanisms hiding behind the occurrence of failure in geotechnical issues. 相似文献
5.
A porous media finite element approach for soil instability including the second-order work criterion 总被引：1，自引：1，他引：0
Evanthia Kakogiannou Lorenzo Sanavia François Nicot Felix Darve Bernhard A. Schrefler 《Acta Geotechnica》2016,11(4):805-825
This paper deals with the hydromechanical modelling of the initiation of failure in soils with particular reference to landslides. To this end, localized and diffused failure modes are simulated with a finite element model for coupled elasto-plastic variably saturated porous geomaterials, in which the material point instability is detected with the second-order work criterion based on Hill’s sufficient condition of stability. Three different expressions of the criterion are presented, in which the second-order work is expressed in terms of generalized effective stress, of total stress and thirdly by taking into account the hydraulic energy contribution for partially saturated materials. The above-mentioned computational framework has been applied to study two initial boundary value problems: shear failure of a plane strain compression test of globally undrained water-saturated dense sand (where cavitation occurs at strain localization) and isochoric grain matter, and the onset of a flowslide from southern Italy due to rainfall (Sarno-Quindici events, May 5–6 1998). It is shown that the second-order work criterion applied at the material point level detects the local material instability and gives a good spatial indication of the extent of the potentially unstable domains in both the localized and diffused failure mechanisms of the cases analyzed, is able to capture the instability induced by cavitation of the liquid water and gives results according to the time evolution of plastic strains and displacement rate. 相似文献
6.
We study the aspect of unstable behavior (like strain localization bands) in elastic solids as a consequence of micro-fracturing.
A two-scale approach of computational homogenization is considered. The macroscopic behavior is investigated by finite element
computations on a unit cell. At the micro-level, we consider a granular structure with elastic grains. The inter-granular
boundaries are modeled with cohesive laws, friction and unilateral contact. We show that decohesion between grains gives rise
to macro-instabilities, indicated by the loss of ellipticity, typical for deformation localization bands. The relation between
the microscopic softening on inter-granular boundaries and the onset of macro-instabilities is studied through numerical examples.
The influence of the cohesive law and friction parameters is analyzed. For periodic distributions of granular structures,
we prove the loss of periodicity by failure and the corresponding size dependence effect in the homogenized response. We present
numerical examples of bifurcation of solutions for granular cell structures and of particular solutions specific to elementary
volumes with periodic cell distribution. Size dependence appears in the unstable regime and is strongly influenced by cohesion
and friction parameters. 相似文献
7.
Yuki Yamakawa Kiyohiro Ikeda Isao Saiki Jacques Desrues Reiko J. Tanaka 《国际地质力学数值与分析法杂志》2018,42(1):3-33
Shear bands with characteristic spatial patterns observed in an experiment for a cubic or parallelepiped specimen of dry dense sand were simulated by numerical bifurcation analysis using the Cam‐clay plasticity model. By incorporating the subloading surface concept into the plasticity model, the model became capable of reproducing hardening/softening and contractive/dilative behavior observed in the experiment. The model was reformulated to be compatible with the multiplicative hyperelasto‐plasticity for finite strains. This enhanced constitutive model was implemented into a finite‐element code reinforced by a stress updating algorithm based on the return‐mapping scheme, and by an efficient numerical procedure to compute critical eigenvectors of elastoplastic tangent stiffness matrix at bifurcation points. The emergence of diamond‐ and column‐like diffuse bifurcation modes breaking uniformity of the materials, followed by the evolution of shear bands through strain localization, was observed in the analysis. In the bifurcation analysis of plane strain compression test, unexpected bifurcation modes, which broke out‐of‐plane uniformity and led to 3‐dimensional diamond‐like patterns, were detected. Diffuse bifurcations, which were difficult to observe by experiments, have thus been found as a catalyst creating diverse shear band patterns. 相似文献
8.
The present paper investigates bifurcation analysis based on the second‐order work criterion, in the framework of rate‐independent constitutive models and rate‐independent boundary‐value problems. The approach applies mainly to nonassociated materials such as soils, rocks, and concretes. The bifurcation analysis usually performed at the material point level is extended to quasi‐static boundary‐value problems, by considering the stiffness matrix arising from finite element discretization. Lyapunov's definition of stability (Annales de la faculté des sciences de Toulouse 1907; 9 :203–274), as well as definitions of bifurcation criteria (Rice's localization criterion (Theoretical and Applied Mechanics. Fourteenth IUTAM Congress, Amsterdam, 1976; 207–220) and the plasticity limit criterion are revived in order to clarify the application field of the second‐order work criterion and to contrast these criteria. The first part of this paper analyses the second‐order work criterion at the material point level. The bifurcation domain is presented in the 3D stress space as well as 3D cones of unstable loading directions for an incrementally nonlinear constitutive model. The relevance of this criterion, when the nonlinear constitutive model is expressed in the classical form (dσ = Mdε) or in the dual form (dε = Ndσ), is discussed. In the second part, the analysis is extended to the boundary‐value problems in quasi‐static conditions. Nonlinear finite element computations are performed and the global tangent stiffness matrix is analyzed. For several examples, the eigenvector associated with the first vanishing eigenvalue of the symmetrical part of the stiffness matrix gives an accurate estimation of the failure mode in the homogeneous and nonhomogeneous boundary‐value problem. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
9.
为了研究岩体局部化现象,基于轴向压杆稳定实例,运用数理和力学知识,根据Drucker-Prager（简称D-P）准则,推导了基于分叉理论的通用表达式。在此基础上,结合有限差分理论得出FLAC3D计算中岩体内发生分叉的判定条件,之后在自带的FISH编译语言的辅助下,在FLAC3D中建立数值分析模型,采用D-P本构关系,研究了岩体局部化现象及其发展过程。研究结果表明：在FLAC3D中以20 000步为间隔所得的不平衡力比率模型系统逐渐趋于稳定,不平衡力比率逐渐降低,局部化现象的规模逐渐扩大至稳定,清晰度逐渐增加,证实了分叉理论能够有效地分析研究岩体局部化现象。给出的岩体局部分叉判定条件和数值验证,较为科学合理地阐述了常用分叉判定条件的由来,为解释岩体局部化现象的机制和过程提供了理论支撑,从而对岩体局部化现象研究起到了一定的推进作用。 相似文献
10.
地质不连续带的破坏往往对岩质边坡的失稳起控制性作用。二阶功破坏准则可以分析除振颤失稳外的所有材料失稳问题,因此,利用该准则分析了岩体不连续带的材料失稳破坏问题。首先从数学上解释了使用二阶功分析二维地质不连续带的优势;而后将二阶功破坏准则引入FLAC有限差分计算软件,并根据相关监测数据对南芬铁矿岩质滑坡进行了二维数值分析。滑坡是一个准静态到动态的转化过程,动能的突然爆发标志着准静态-动态转化的发生。二阶功和二阶动能之间存在直接关系,据此关系估算出的南芬铁矿岩质边坡动能演化曲线可以证明二阶功对岩土材料失稳破坏判别的有效性。 相似文献
11.
Flow-type landslides are an important hazard that can cause great destruction due to the rapid flow velocity and large disaster area. This paper presents a catastrophic flowslide that recently occurred at a landfill in Shenzhen, China. This disaster involved an area about 1100 m in length and 630 m in maximum width, and caused the death of 77 people and the destruction of 33 buildings. The precise reason for the landfill’s failure is still unknown, and therefore we try to contribute an increased understanding of the event for future prevention. In this study, the failure mechanism of the studied slope was analyzed and described under partially saturated condition. The solid–fluid transition during the flowslide occurrence was described using a unified constitutive model. The model was used to perform the hydro-elasto-plastic modeling in the pre-failure stage, the viscous modeling in the post-failure stage, and the second-order work criterion was introduced in between to model the solid–fluid transition. The consistent evolution of the flowslide, including initiation, propagation, and deposit stages, was simulated and analyzed using the finite element method with Lagrangian integration points after careful calibration of the viscous parameters. The numerical results were compared with the real case and used to explain the failure mechanism. 相似文献
12.
It has been established that the second‐order work criterion is a general necessary condition for all instabilities by divergence in rate‐independent granular materials. The relation between the values of discrete second‐order work at the intergranular contact point level and its global macroscopic value is recalled at the beginning of this paper. Then, the basic purpose of the paper is tackled by an analysis of the main features of second‐order work criterion in relation with the granular microstructure. For that, it is considered a novel micromechanical model (the so‐called ‘H‐microdirectional model’), which has the property to involve three scales: grain scale, mesoscale with a specific granular configuration and continuum mechanics macroscale. Eventually, these exhibited features (a bifurcation stress domain and some instability cones) are qualitatively compared with the ones provided by direct numerical simulations issued from a discrete element model. The ultimate goal is to analyse what happens at the granular scale, when the macrosecond‐order work is vanishing at the macrolevel. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
13.
基于有限差分分析（FLAC）的软质岩石地基承载力数值计算模型,分析中将软质岩石地基视为均质、各向同性的连续介质,采用理想线性弹塑性本构关系模拟和Hoek-Brown非线性破坏准则及非关联流动法则。为便于数值模拟,采用切线法,把Hoek-Brown非线性破坏准则转换成Mohr-Coulomb线性破坏准则,并依据等量原则推导了瞬时内摩擦角和瞬时黏聚力的计算公式,编制了基于FLAC内置FISH语言的子程序。通过施加竖向速度向量,分别获得了圆形基础下考虑和忽略岩体自重的极限承载力。与理论值和现场载荷板承载力试验结果进行的对比分析表明,Hoek-Brown解结果比Bell解结果更接近实测值,但都偏于保守,而数值计算结果与实测值非常接近,特别是在考虑自重的情况下,误差仅为2%。说明对于软质岩石地基的极限承载力,采用基于Hoek-Brown非线性破坏准则的FLAC数值模型进行分析是合适的。 相似文献
14.
基于Hoek-Brown准则的三维边坡变形稳定性分析 总被引：1，自引：0，他引：1
采用Hoek-Brown准则,分析三维边坡在开挖扰动下的变形稳定性。以某露天矿边坡为工程背景,利用快速拉格朗日差分法(FLAC3D)建立三维数值分析模型,并在边坡中布置若干监测点,利用FISH语言编制相应位移插值程序,探讨边坡开挖引起的动静态位移响应,从宏观角度揭示出边坡开挖后,不同区域的变形,为工程实践提供指导;介绍了强度折减技术在Hoek-Brown准则中的实施方法,采用计算不收敛失稳判据,计算边坡安全系数,从而进一步推广Hoek-Brown强度折减法在三维边坡稳定性分析中的应用。 相似文献
15.
由地下水引起的静力液化可能是边坡失稳的隐含机制之一,松砂在不排水剪切条件下可能发生静力液化,密实的颗粒集合体在特定的应变路径下也会出现相似的现象,即试样整体发生急剧的失稳,应力状态尚处于峰值强度线以内。该种失稳模式称为分散性失稳,是为了强调失稳模式中没有出现应变局部化或者剪切带。采用连续-离散耦合分析方法,研究由不规则形状颗粒组成的密实集合体在等比例应变加载路径下的力学特性。根据Hill的材料失稳理论,当试样的应力增量 和应变增量 对应的2阶功 为负时,试样即发生不可逆的整体失稳破坏。以根据不同等比例应变路径得到 曲线为界,在 平面内将试样的应力状态分为剪缩区、剪胀-稳定区和剪胀-非稳定区,连接不同围压下试样发生分散性失稳时的应力状态形成失稳线发现,峰值强度线高于临界状态线,临界状态线高于失稳线。 相似文献
16.
A. Daouadji F. Darve H. Al Gali P. Y. Hicher F. Laouafa S. Lignon F. Nicot R. Nova M. Pinheiro F. Prunier L. Sibille R. Wan 《国际地质力学数值与分析法杂志》2011,35(16):1731-1773
This paper presents a synthesis of the works performed by various teams from France, Italy and Canada around the question of second‐order work criterion. Because of the non‐associative character of geomaterials plastic strains, it is now recognized that a whole bifurcation domain exists in the stress space with various possible modes of failure. In a first part these failure modes are observed in lab experimental tests and in discrete element modelling. Then a theoretical study of second‐order work allows to establish a link with the kinetic energy, giving a basis to explain the transition from a prefailure (quasi)static regime to a postfailure dynamic regime. Eventually the main features of geomaterials failure are obtained by applying second‐order work criterion to five different constitutive rate‐independent models—three being phenomenological and two micromechanical. As a whole this paper tries to gather together all the elements for a proper understanding and use of second‐order work criterion in geomechanics. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
17.
边坡的破坏过程是由土体局部破坏向整体失稳发展的过程,其塑性区的开展及其水平位移增量的变化较完美地展现了这个过程。根据边坡的实际破坏和有限元数值模拟情况,提出了以特征点位移增量的突变及塑性区贯通作为边坡的失稳判断准则;并以此为判据,采用基于强度折减的大变形有限元方法分析了土质边坡的破坏及稳定性。研究表明,采用强度折减有限元法可有效分析边坡的破坏及其稳定性;此外还分析了带有软弱夹层黏土边坡的破坏性状及其稳定性,并比较了大、小变形有限元的计算结果,结果表明,带有软弱夹层黏土边坡的破坏性状随软弱夹层土体性质的变化而变化,由大小变形有限元分析得到的边坡稳定安全系数较为一致,但边坡的破坏机制随软弱夹层土体性质变化的转变点不同。 相似文献
18.
R. De Borst 《国际地质力学数值与分析法杂志》1988,12(1):99-116
A numerical approach to bifurcation problems in soil mechanics is described. After locating the bifurcation point by a combination of an incremental-iterative loading procedure and an eigenvalue analysis of the tangent stiffness matrix, the solution is continued on the localization path by a suitable combination of the fundamental solution and the eigenvector belonging to the lowest eigenvalue. The procedures are applied in a bifurcation analysis of a cohesionless soil in a biaxial testing device. The results suggest that a diffuse bifurcation mode with a short wavelength is encountered whereupon a shear band gradually develops. The inclination angle of the shear band compares well with analytical formulae and with empirical data. 相似文献
19.
This paper is devoted to numerical analysis of strength and deformation of cohesive granular materials. The emphasis is put on the study of effects of confining pressure and loading path. To this end, the three-dimensional discrete element method is used. A nonlinear failure criterion for inter-granular interface bonding is proposed, and it is able to account for both tensile and shear failure for a large range of normal stress. This criterion is implemented in the particles flow code. The proposed failure model is calibrated from triaxial compression tests performed on representative sandstone. Numerical results are in good agreement with experimental data. In particular, the effect of confining pressure on compressive strength and failure pattern is well described by the proposed model. Furthermore, numerical predictions are studied, respectively, for compression and extension tests with a constant mean stress. It is shown that the failure strength and deformation process are clearly affected by loading path. Finally, a series of numerical simulations are performed on cubic samples with three independent principal stresses. It is found that the strength and failure mode are strongly influenced by the intermediate principal stress.
相似文献20.
Particle swarm optimization for numerical bifurcation analysis in computational inelasticity 
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下载免费PDF全文 An efficient and robust algorithm to numerically detect material instability or bifurcation is of great importance to the understanding and simulation of material failure in computational and applied mechanics. In this work, an intelligence optimizer, termed the particle swarm optimization, is introduced to the numerical solution of material bifurcation problem consisting of finding the bifurcation time as well as the corresponding bifurcation directions. The detection of material bifurcation is approached as a constrained minimization problem where the determinant of the acoustic tensor is minimized. The performance of the particle swarm optimization method is tested through numerical bifurcation analysis on both small and finite deformation material models in computational inelasticity with increasing complexity. Compared with conventional numerical approaches to detect material bifurcation, the proposed method demonstrates superior performance in terms of both computational efficiency and robustness. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献