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1.
不同应力路径下剪切带的数值模拟   总被引:4,自引:1,他引:3  
孙德安  甄文战 《岩土力学》2010,31(7):2253-2258
采用回映应力更新算法,编写了基于伏斯列夫面的超固结黏土本构关系模型子程序,嵌入非线性有限元软件ABAQUS。通过对单元试验进行三轴压缩、三轴伸长及平面应变等问题的模型预测,再现了超固结黏土在不同初始超固结比和应力路径时的变形和强度特性,从而验证了子程序的正确性。借助该本构模型,对三轴压缩、三轴伸长及平面应变应力路径下超固结黏土体变形局部化问题,进行了三维数值模拟。分析结果表明:超固结黏土在三轴压缩及伸长状态时,土体变形局部化在应力-应变关系软化时出现,而平面应变状态时,在应力-应变关系硬化阶段出现,其超固结黏土的剪胀特性在剪切带的形成过程中起重要作用。  相似文献   

2.
高军程  郭莹  贾金青  涂兵雄 《岩土力学》2016,37(5):1343-1350
基于亚像素角点检测的数字图像测量系统能够记录三轴试样表面方块角点的位移,从而获得试样表面每一时刻的局部应变及应变场。分析了试样不同位置的局部径向应变在剪切过程中的变化,获得了以不同初始成样含水率制备的松砂和密砂试样在不同特征时刻的应力与应变的特征值。通过轴向应变场的变化分析了从应变局部化出现到剪切带发育、形成的这一完整的渐进破坏过程,总结了剪切带形成时的局部最大轴向应变特征值,并定性地分析了剪切带内、外土体在渐进破坏过程中不同的轴向应变增长率。试验结果表明:在应变场中试样应变局部化明显,并可以依此确定应变局部化的出现、剪切带的形成;对于密砂及初始含水率为0%制备的松砂试样,应力在应变局部化出现之初即达到峰值,剪切带形成时应力已经开始下降,进入应变软化阶段;以初始含水率为6%和12%制备的松砂试样在达到应力峰值时剪切带已经形成;剪切带内土体的局部轴向应变增长幅度比剪切带外的土体大得多。试样整体轴向应变的增大主要是由剪切带内土体剪切破坏产生的较大轴向应变所致。  相似文献   

3.
与 Cosserat 理论相比,偶应力理论在一定程度上可以降低数值框架的复杂度,已逐渐应用于岩土体应变局部化分析中。然而,一般的偶应力有限元法需要满足 C1连续性,即单元内部和单元交界面上的应变都需要具有连续性。为了避免开发较为复杂的C1型偶应力单元,在 Cosserat 连续体理论框架下,通过借助罚函数方法对 C1连续性进行松弛来获得偶应力理论的逼近解,建立了基于罚函数的偶应力有限元方法 PCS-FEM。通过平面应变条件下的弹性圆孔应力集中问题对 PCS-FEM 方法的有效性进行了验证,并应用于土体应变局部化分析中。通过对Ottawa砂的平面应变试验进行数值模拟,发现 PCS-FEM 方法获得的应力−应变曲线及剪切带破坏形态与试验结果基本一致,且能够克服经典连续体理论病态的网格敏感性问题,保证应变局部化问题的适定性;通过对承受偏心荷载作用下的土坡应变局部化经典算例进行分析,发现 PCS-FEM 方法同样可以克服土坡应变软化阶段的网格敏感性问题,展现土体的渐进破坏过程。  相似文献   

4.
王学滨  马剑  刘杰  潘一山 《岩土力学》2004,25(6):904-908
研究了岩样在单轴压缩条件下轴向应力.侧向或环向变形的全程曲线特征。基于考虑峰值剪切强度后微小结构之间相互影响和作用的梯度塑性理论,得到了由于剪切局部化而引起的侧向塑性变形。利用虎克定律描述了试件的弹性变形,得到了轴向应力.侧向变形全程曲线的解析解。在软化阶段,试件中部侧向变形及对靠近试件上端或下端部位的侧向变形并不相同。与轴向应力.应变曲线可能出现的回跳现象类似。试件中部轴向应力.侧向应变曲线也可能出现回跳现象。在应变软化阶段,与应力.侧向应变曲线相比,应力.环向应变曲线不容易发生回跳现象。若在试件内部出现多条剪切带,则应该以等效剪切带宽度替代本文中的剪切带宽度。随着剪切带倾角、内部长度参数的降低、剪切模量的增加及弹性模量的降低,轴向应力.侧向应变曲线越陡;甚至能出现弹性回跳。  相似文献   

5.
王学滨  刘杰  王雷  潘一山 《岩土力学》2004,25(7):1127-1130
提出了利用不同尺寸试件的轴向应力-应变曲线得到轴向应力-侧向应变曲线的一种方法,并研究了结构尺寸对轴向应力-侧向应变曲线的影响。根据尺寸不同试件的轴向应力-轴向应变曲线的实验结果,并基于梯度塑性理论的解析解,在应变软化阶段,确定出了各种试件的剪切带条数。由此求出了不同宽度试样的轴向应力-侧向应变曲线。剪切带条数与试件宽度之比是决定轴向应力-侧向应变曲线特征的关键指标。若该比率为常量,则上述曲线不具有尺寸效应。当宽试件及窄试件在局部化启动后,在试件内部都出现一条剪切带时,随着试件宽度的增加,该曲线越陡,甚至出现回跳。上述方法也可用于分析轴向应力-环向应变曲线的尺寸效应问题。尺寸效应的原因是局部化,但局部化并非总引起尺寸效应。  相似文献   

6.
《岩土力学》2017,(Z2):99-106
利用西安理工大学真三轴仪对不同含水率、围压条件下的原状Q_3黄土进行了轴对称三轴试验和平面应变试验,研究了原状Q_3黄土在两种应力路径条件下的强度演化特性,对比分析了两种试验条件下的强度差异及破坏方式。结果表明,低固结围压条件下低含水率原状黄土容易产生脆性破坏,其应力–应变曲线为软化型,固结围压增大后其应力–应变曲线呈硬化型;围压对原状黄土的强度起增强作用,含水率对原状黄土的强度起削弱作用,原状黄土的破坏应力与含水率、围压和球应力状态密切相关;随着含水率的增大,黏聚力衰减明显,内摩擦角略有减小,相同条件、平面应变条件下的强度要比轴对称三轴条件下的强度大1.1~1.4倍;轴对称三轴条件下土样呈单一剪切带的侧胀剪切破坏,平面应变条件下呈剪缩侧胀破坏。  相似文献   

7.
李宏儒  胡再强  冯飞  刘寅 《岩土力学》2012,33(9):2803-2810
基于破损力学理论,将结构性黄土抽象成具有一定结构强度的结构块和摩擦带组成的二元介质模型。对结构性黄土体来说,局部化剪切带问题也是土体的破损问题,剪切带萌生发展的实质就是结构块向摩擦带转化的动态过程。应用结构性土的双参数破损率二元介质本构模型,采用数值分析方法模拟了平面应变压缩条件下结构性土中局部化剪切带萌生、扩展的过程,研究了不同缺陷方案下局部化剪切带的形态、特性与规律,发现结构性土中局部化剪切带的发展起初是由一段段不连续的微小局部破坏区域在外荷载逐步作用下渐进扩展连接贯通而形成整体剪切带的破坏形式。二元介质本构模型和常规有限元的结合,形象生动地再现了局部化剪切带萌生、发展的过程。  相似文献   

8.
平面应变状态下土体的软化特性与本构模拟   总被引:3,自引:2,他引:1  
在平面应变状态下,由于土体在应力峰值状态出现了应变局部化现象,从而变形模式失去了原有的均匀性而呈现软化特性。为此,采用常规的弹塑性本构模型模拟土体峰值前的均匀变形,对应力峰值状态则采用非共轴的分叉理论进行预测,而土样在峰值后出现不均匀变形的宏观力学特性则通过复合体理论加以描述。理论预测表明,构建这样的软化本构模型能真实反映平面应变状态下的应力-应变特性。理论分析还表明,经典的变形分叉理论中引入非共轴弹塑性模型,才能准确地预测土体的应力峰值,这是构建平面应变状态下土体软化本构模型的关键所在。  相似文献   

9.
煤岩两体模型变形破坏数值模拟   总被引:3,自引:0,他引:3  
王学滨 《岩土力学》2006,27(7):1066-1070
采用拉格朗日元法,在弹性岩石与弹性-应变软化煤体所构成的平面应变两体模型的上、下端面上不存在水平方向摩擦力条件下,模拟了模型的破坏过程、岩石高度对模型及煤体全程应力-应变曲线、煤体变形速率、煤体破坏模式及剪切应变增量分布的影响。结果表明,当模型的全程应力-应变曲线达到峰值时煤体内部的剪切带图案已经十分明显,在模型的应变硬化阶段,煤体中的应变局部化可视为模型失稳破坏的前兆,随岩石高度的增加,模型应力-应变曲线的软化段变得陡峭,这与单轴压缩条件下的解析解在定性上是一致的;煤体应力-应变曲线的软化段变得平缓,煤体消耗能量的能力增强;弹性阶段煤体的变形速率降低;煤体内部的剪切应变增量增加。煤体应力-应变曲线的软化段的斜率、弹性阶段煤体的变形速率、煤体内部的剪切应变增量及塑性耗散能都受岩石高度的影响,说明了岩石几何尺寸对煤体的影响(煤岩相互作用)是不容忽视的。  相似文献   

10.
不同应力路径下超固结黏土试样变形局部化分析   总被引:2,自引:1,他引:1  
甄文战  孙德安  段博 《岩土力学》2011,32(1):293-298
基于改进伏斯列夫面超固结黏土三维本构模型,利用有限元软件ABAQUS材料子程序接口,采用回映应力更新算法,实现了该模型在有限元分析中的应用。通过该模型与比奥固结理论的耦合,对超固结比为8的超固结黏土在三轴压缩、三轴伸长及平面应变应力条件下的变形局部化问题,进行了水-土耦合弹塑性有限元分析。分析结果表明:剪切带带内、带外点经历不同应力路径;剪切带带外单元经历了体缩、剪胀及被吸水体缩过程,而剪切带带内单元一直保持剪胀趋势;剪切带的形成伴随着剪胀,剪切带内、外出现了负的孔压,且孔压的分布也具有局部化特性。关于剪切带带内、外的孔隙水压及体变变化趋势与剪切速率有关,而平面应变介于三轴压缩与三轴伸长之间,但平面应变较早出现剪切带。孔隙水的迁移速度影响剪切带带内单元的剪胀,进而影响剪切带的形成及发展;而围压和弱单元位置也对剪切带的形成也有影响。  相似文献   

11.
饱和多孔介质材料的应变局部化萌生条件   总被引:2,自引:1,他引:1  
在单相介质和非渗流饱和多孔介质应变局部化萌生条件的基础上,应用饱和多孔介质控制方程和Liapunov稳定理论,导出了渗流条件下的固相应力-应变描述和有效应力-应变描述的多孔介质固相部分的应变局部化的萌生条件。不同应力描述下的萌生条件的形式有一定变化。应用简单算例,讨论了Terzaghi有效应力描述的应变局部化萌生条件中两种固、液相对运动特例下的饱和多孔介质应变局部化破坏的形式。  相似文献   

12.
徐令宇  蔡飞  陈国兴  王国新 《岩土力学》2016,37(11):3329-3335
已有震害研究表明,震后边坡会因持续变形而破坏,且伴随着土体强度逐渐降低的现象,即土的循环软化行为。因此,有必要研究考虑循环软化的非线性动力本构模型以用于复杂条件下地震边坡稳定性分析。在已有的非线性动力本构模型基础上,提出了考虑循环软化的处理方法。同时,在FLAC3D平台上实现了本构模型二次开发,并通过了理论公式与已有文献中试验数据的验证。结果表明:计算出的骨干曲线与理论公式一致,且计算出的动剪切模量比及阻尼比与试验数据吻合较好,能够克服Hardin-Drnevich模型和Davidenkov模型在较大应变处(>0.01%)过高地估算阻尼比的缺陷;考虑了循环软化后,计算出的剪切强度有明显降低,且当遇到骨干曲线剪应力可以连续地过渡到软化后的主干曲线上,模型的收敛性较好。所开发的本构模型可为大应变条件下软土场地及边坡地震灾害评估提供支持。  相似文献   

13.
The diffused and localized instabilities in sand under drained biaxial loading have been analyzed here following a plane strain bifurcation framework, where the rate independent material is defined using a generalized 3D non-associative constitutive model. This study is focused on how various instability modes emerge with respect to initial density, confining pressure, and the applied boundary conditions. Results from large deformation framework have been compared with those from small deformation approximation and the later is noticed to fail in capturing the emergence of diffused modes and predicts delayed onset of localization. The theoretical predictions compares well with existing experimental observations.  相似文献   

14.
Heterogeneity arises in soil subjected to interface shearing, with the strain gradually localizing into a band area. How the strain localization accumulates and develops to form the structure is crucial in explaining some significant constitutive behaviors of the soil–structural interface during shearing, for example, stress hardening, softening, and shear-dilatancy. Using DEM simulation, interface shear tests with a periodic boundary condition are performed to investigate the strain localization process in densely and loosely packed granular soils. Based on the velocity field given by grains’ translational and rotational velocities, several kinematic quantities are analyzed during the loading history to demonstrate the evolution of strain localization. Results suggest that tiny concentrations in the shear deformation have already been observed in the very early stage of the shear test. The degree of the strain localization, quantified by a proposed new indicator, α, steadily ascends during the stress-hardening regime, dramatically jumps prior to the stress peak, and stabilizes at the stress steady state. Loose specimen does not develop a steady pattern at the large strain, as the deformation pattern transforms between localized and diffused failure modes. During the stress steady state of both specimens, remarkable correlations are observed between α and the shear stress, as well as between α and the volumetric strain rate.  相似文献   

15.
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   

16.
This paper presents a theoretical framework to interpret the inception of unstable undrained creep in quasi‐saturated soils. For this purpose, the effect of gas bubbles occluded in the fluid phase is embedded into an augmented compressibility of the fluid mixture, while the mechanical characteristics of the solid skeleton have been simulated through a viscoplastic strain‐hardening model. This constitutive framework has been been used to formulate a theoretical platform able to detect runaway failures resulting from extended stages of undrained creep. It is shown that the conditions identifying the onset of spontaneous accelerations are governed by the same stability index associated with the initiation of static liquefaction. At variance with soils saturated by incompressible fluids, the conditions for undrained instability are altered by the appearance of the Skempton coefficient B, thus reflecting the beneficial effect of the fluid compressibility and its ability to decrease the liquefaction potential. The capabilities of the theory are verified through a sequence of undrained creep simulations showing the transition from stable to unstable behavior resulting from an increase of the degree of saturation. The proposed findings provide a conceptual framework to interpret the effects of gas bubbles in loose soils, as well as to assess effectiveness and longevity of liquefaction mitigation strategies based on desaturation technologies.  相似文献   

17.
Geotechnical experiments show that Lode angle‐dependent constitutive formulations are appropriate to describe the failure of geomaterials. In the present study, we have adopted one such class of failure criteria along with a versatile constitutive relationship to theoretically analyze the effects of Lode angle on localized shear deformation or shear band formation in loose sand for both drained and undrained conditions. We determine the variation in the possible stress states for shear localization due to the introduction of Lode angle by considering the localized deformation as a bifurcation problem. Further, similar bifurcation analysis is performed for the stress states along a specific loading path, namely, plane strain compression at the constitutive level. In addition, the plane strain compression tests have been simulated as a boundary value finite element problem to see how Lode angle affects the post‐localization response. Results show that the inclusion of a Lode angle parameter within the failure criterion has considerable effects on the onset, plastic strain, and propagation of shear localization in loose sand specimens. For drained condition, we notice early inception of shear localization and multiple band formation when the Lode angle‐dependent failure criterion is used. Undrained localization characteristics, however, found to be independent of Lode angle consideration.  相似文献   

18.
The paper presents detailed FE simulation results of concrete elements under mixed‐mode failure conditions according to the so‐called shear‐tension test by Nooru‐Mohamed, characterized by curved cracks. A continuous and discontinuous numerical two‐dimensional approach was used. In order to describe the concrete's behaviour within continuum mechanics, two different constitutive models were used. First, an elasto‐plastic model with isotropic hardening and softening was assumed. In a compression regime, a Drucker–Prager criterion with a non‐associated flow rule was used. In turn, in a tensile regime, a Rankine criterion with an associated flow rule was adopted. Second, an isotropic damage constitutive model was applied with a single scalar damage parameter and different definitions of the equivalent strain. Both constitutive laws were enriched by a characteristic length of micro‐structure to capture properly strain localization. As an alternative approach, the extended finite element method was used. Our results were compared with the experimental ones and with results of other FE simulations reported in the literature. Copyright © 2015 John Wiley & Sons, Ltd.  相似文献   

19.
This paper studies the effects of initial fabric anisotropy of dry sand in simple shear deformation. The effects of anisotropy are taken into consideration through the modification of the mobilized friction in the Mohr–Coulomb‐type yield surface as a function of a fabric parameter. In addition, the constitutive model uses a gradient term that directly incorporates the effects of material length scale. The constitutive formulation is implemented into ABAQUS finite element code and used to simulate shearing of the dry sand under various conditions of simple shear. The numerical simulations show that while the shear stress response is affected by fabric anisotropy, its effects on strain localization in simple shear are minimal. This is in contrast to other devices such as the biaxial shear. The strain localization in simple shear is controlled more by the imposed boundary conditions. The use of material length scale is shown to remove the effects of strain localization in the shearing response. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

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