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1.
粗粒土的一种应变硬化模型   总被引:1,自引:0,他引:1  
徐明  宋二祥 《岩土力学》2010,31(9):2967-2972
堆石料等粗粒土在经受剪切时不仅其强度和刚度随应力水平而变化,其体积变化特征也和应力水平密切相关。在Mohr-Coulomb模型的基础上,提出一个针对这类粗粒土剪切特征的应变硬化模型。模型以Mohr-Coulomb准则作为屈服准则,但考虑土体强度、刚度和体积变化特征均随应力水平而变化等重要特性。对Rowe剪胀理论的推导及其试验基础进行了深入讨论,指出该理论对于粗粒土的局限性,并在此基础上针对粗粒土的剪胀特性进一步发展给出其机动剪胀角的变化规律。与试验结果的计算对比表明,该模型能较为全面地反映粗粒土的主要剪切特性,特别是剪切时的体积变化特性,且相对简便实用。  相似文献   

2.
A new elastoplastic model is developed for rockfills within the general critical state framework incorporating the state parameter. Two state functions are proposed to characterize the evolution of volume dilation and strain softening of rockfills, and a modified breakage index based on the concept of Hardin's relative breakage is defined to describe the progressive crushing of rockfills. The nonassociated plastic flow rule is derived from a state dependent dilatancy equation, and it incorporates energy dissipation due to intrinsic nonlinear friction and particle breakage upon shearing. Thus, their couple effect on the plastic deviatoric and volumetric deformation of rockfills is taken into account in the current model. The numerical analyses are carried out for a series of drained triaxial tests on the modeled rockfills at various consolidation pressures and stress paths. The volume dilation/contraction and strain softening/hardening of rockfills are accurately predicted by the proposed model, and the particle breakage and nonlinear critical state shear strength of rockfills are also well captured. The research findings indicate that the current model is applicable to represent the complex stress–strain–volume change behavior of rockfills in general. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

3.
Rockfills have been extensively used in the construction of high-fill embankments and dams, which exhibit complex time-dependent behavior. This paper presents a rheological model to simulate the shear creep behavior of rockfills based on the classic Burgers model, in which a nonlinear elasto-damage unit, a modified Newton unit, and a modified Kelvin unit are connected in series. By analyzing the results of large-scale triaxial creep tests on different rockfills, the influence of stress states (i.e., the deviator stress level and confining pressure) on the shear creep behavior of rockfills is revealed. A method to modify the key model parameters is proposed to consider such influence and is incorporated into the proposed model. Furthermore, the accelerated creep behavior of rockfills is reproduced by a nonlinear elasto-damage unit. Despite its simplicity, the model can simulate the essential aspects of the shear creep behavior of rockfills, and reasonable consistency is found between the simulation results and the large-scale triaxial creep test results.  相似文献   

4.
堆石料强度变形特性与非线性弹性本构模型研究   总被引:7,自引:3,他引:4  
在大型三轴试验研究的基础上,提出了堆石料应力-应变关系、侧向应变与轴向应变关系的指数函数表达式,以及抗剪强度包线在q-p平面上的幂函数表达式。继而推导得到了一个反映堆石料强度与变形特性的非线性弹性本构模型。通过对实体工程的数值模拟,将Duncan E-B模型与新建模型进行了对比分析,验证了该模型的可行性。  相似文献   

5.
In this paper, the non‐coaxial relation between the principal plastic strain increments and the principal stresses, which results from the internal friction in geomaterials, is analyzed, and the phenomenon of the unbalanced development of plastic flow in two conjugate directions is discussed. A non‐coaxial, unbalanced plastic flow model for Coulomb frictional materials is developed and used to determine the orientation of shear band in geomaterials. It is shown that the unbalanced index r of plastic flow has important effect on the orientation of the shear band, and the orientation determined by the conventional plastic flow theory is only a special case of the proposed model when r=0. This result soundly explains the reason that the geomaterials with the same internal friction angle and dilatancy angle can have very different shear band orientations. In addition, the difference between the intrinsic and apparent dilatancy angles is analyzed, and it is emphasized that the dilatancy angle commonly used in practice is indeed the apparent dilatancy angle. Copyright © 2010 John Wiley & Sons, Ltd.  相似文献   

6.
A granular material consists of an assemblage of particles with contacts newly formed or disappeared, changing the micromechanical structures during macroscopic deformation. These structures are idealized through a strain space multiple mechanism model as a twofold structure consisting of a multitude of virtual two‐dimensional mechanisms, each of which consists of a multitude of virtual simple shear mechanisms of one‐dimensional nature. In particular, a second‐order fabric tensor describes direct macroscopic stress–strain relationship, and a fourth‐order fabric tensor describes incremental relationship. In this framework of modeling, the mechanism of interlocking defined as the energy less component of macroscopic strain provides an appropriate bridge between micromechanical and macroscopic dilative component of dilatancy. Another bridge for contractive component of dilatancy is provided through an obvious hypothesis on micromechanical counterparts being associated with virtual simple shear strain. It is also postulated that the dilatancy along the stress path beyond a line slightly above the phase transformation line is only due to the mechanism of interlocking and increment in dilatancy due to this interlocking eventually vanishing for a large shear strain. These classic postulates form the basis for formulating the dilatancy in the strain space multiple mechanism model. The performance of the proposed model is demonstrated through simulation of undrained behavior of sand under monotonic and cyclic loading. Copyright © 2010 John Wiley & Sons, Ltd.  相似文献   

7.
李建朋  高岭  母焕胜 《岩土力学》2019,40(6):2119-2126
为研究高应力水平条件下岩石卸荷扩容特性及其剪胀角变化规律,开展了若干不同初始围压水平的三轴峰前卸围压试验,同时进行了相应围压水平的常规三轴压缩试验。基于试验成果分析了卸荷应力路径对砂岩扩容的影响效应,总结了卸荷应力路径下剪胀角变化规律,进而提出了基于卸荷应力路径的剪胀角函数,并给出了其数值实现方法,最后通过对三轴峰前卸围压试验的数值模拟,验证了所提出的剪涨角函数的可行性与合理性。研究表明:(1)加载路径时,不同围压水平下峰前扩容体积应变值相差不大,而卸荷应力路径时,随着围压水平的增加,峰前扩容体积应变从最小值3.15×10?3增加到最大值9.65×10?3,卸荷路径下的峰前扩容体积应变约为加载路径的1.1~4.0倍;(2)卸荷应力路径下偏应力峰值对应的体积应变基本为0或接近于0,而加载应力路径下偏应力峰值对应的体积应变均为负值;(3)卸荷应力路径条件下峰前扩容体积应变在总扩容体积应变中所占比例显著大于加载路径;(4)两种应力路径下,剪胀角随塑性剪切应变增加均经历了先增加后减小的过程,并且低围压工况下偏应力峰值对应的剪胀角和最大剪胀角均大于高围压工况;(5)与加载路径相比,卸荷路径下的剪胀角更快达到剪胀角最大值,并且其偏应力峰值对应的剪胀角和最大剪胀角更大;(6)基于砂岩三轴卸荷试验成果,采用线性拟合方法得出了以围压和峰后塑性剪切应变增量为自变量的剪胀角函数,基于该函数与应变软化本构模型的砂岩三轴峰前卸围压试验的数值模拟结果与试验结果吻合较好,表明该函数能较好地描述三轴峰前卸围压条件下砂岩的扩容特性。以上结论可为深部地下工程变形预测、稳定性分析与支护设计提供理论基础。  相似文献   

8.
在单轴平面应变压缩条件下, 采用FLAC模拟了剪切扩容对含随机缺陷岩石破坏前兆及变形特征的影响。密实的岩石服从莫尔库仑剪破坏与拉破坏复合的破坏准则, 破坏之后呈现应变软化-理想塑性行为。缺陷在破坏之后经历理想塑性行为。随着轴向应变的增加, 试样内部破坏的单元数目增加, 直到达到一个常数, 该常数随着扩容角的增加而增加。当扩容角较高时, 计算得到的泊松比在峰前就可以超过0.5;剪切扩容于峰前发生; 变形后试样的最终体积大于初始体积。剪切局部化(导致了毗邻块体之间的相对滑动)及剪切扩容(发生于剪切带内部)是非零扩容角试样峰后体积膨胀的原因。在峰前, 通过观察剪切应变增量、破坏的单元数目、侧向应变、计算得到的泊松比及体积应变可以发现, 扩容角越高, 试样破坏的前兆越明显。在低扩容角时, 由于弯曲的剪切带边界, 试样内部充分发展的剪切带的倾角比较分散, 剪切带的倾角更接近Arthur理论。   相似文献   

9.
牛雷  姚仰平  崔文杰  万征 《岩土力学》2011,32(8):2341-2345
本构模型的三维化对反映材料在三维应力状态下的力学特性具有重要意义。在π平面上,广义Mises三维化方法不能反映应力洛德角对材料变形和强度的影响,g(θ)等方法不能合理地反映应力水平对变形和强度的影响。变换应力三维化方法考虑了应力洛德角影响,数学表达简洁,不增加模型参数,便于计算应用。将作者等人所提的超固结非饱和土本构模型与基于SMP(spatially mobilized plane)的变换应力方法结合,实现了超固结非饱和土的三维化,达到了从剪切屈服到剪切破坏的连续过渡。该模型能够描述不同应力洛德角下超固结非饱和土的硬化、软化、剪胀特性,并与试验数据进行了对比  相似文献   

10.
节理岩体蠕变特性研究   总被引:13,自引:3,他引:10  
杨松林  张建民  黄启平 《岩土力学》2004,25(8):1225-1228
在已知岩石和节理蠕变规律的前提下,推导了节理岩体蠕变模型的一般表达式。假定岩石体积变形和节理法向压缩变形为弹性变形,忽略节理的剪胀现象,认为只有岩石畸变和节理剪切滑移与时间有关,从而推导了含三组相交节理的岩体蠕变模型及其参数。根据反演出的岩石和节理蠕变模型,计算了含三组相交节理的岩体在单轴应力作用下一些节理参数对岩体单轴蠕变的影响。分析表明,节理间距、剪胀系数以及节理夹角都对岩体的单轴蠕变变形有明显影响。节理间距越大,剪胀系数越大,节理夹角越小,节理岩体的单轴蠕变柔量也就越小,岩体的蠕变变形也越小。  相似文献   

11.
王军  林旭  符洪涛 《岩土力学》2014,35(Z2):75-84
基于砂土与土工格栅、土工织物界面的室内大型直剪试验,分析了两种不同界面的力学性能。试验结果表明,峰值、残余剪切应力与界面剪胀性曲线存在一定的联系,即峰值强度通常会发生在界面相对减缩过程结束和残余剪切强度发生在界面的相对剪胀过程结束。加载过程中由于土工合成材料的逐步磨损、褶皱或者断裂导致了筋土界面强度出现较为明显的强度软化现象,在界面抗剪强度的研究中不可忽略。在试验基础上提出一种能够描述筋土界面力学性能的组合本构模型,该模型包含4个关系式:(1) 峰值、残余强度包络线;(2) 强度峰值前的双曲线模型;(3) 强度峰值后的位移软化模型;(4) 反映剪胀特性的界面剪胀模型。该组合模型的预测结果与直剪试验结果吻合较好,表明所用模型是合理的。  相似文献   

12.
王凤云  钱德玲 《岩土力学》2019,40(5):1966-1976
基于连续介质理论中岩体的剪胀角与围压和塑性剪切应变密切相关,隧洞周边岩体的应力状态因开挖卸荷而发生应力重分布,迫使其围压由原地应力逐渐衰减,塑性剪切应变不断增加,引起剪胀效应呈非线性变化。首先,基于统一强度理论和非关联流动法则,将潜在塑性区围岩按等围压释放划分为若干同心圆,提出了考虑中间主应力和非线性剪胀性的有限差分法,计算应变软化围岩的力学问题,并以实例验证其正确性。其次,通过参数分析,研究塑性区内岩体的剪胀角受中间主应力、临界软化系数和支护力的影响规律。研究结果表明,中间主应力主要影响剪胀角的峰值,随着中间主应力效应增加,剪胀峰值增加;临界软化系数主要影响剪胀角的变化率,随着临界软化系数的增加,剪胀角变化缓慢;中间主应力和临界软化系数共同影响塑性区剪胀角的变化;随着支护力的增加,洞壁处的剪胀角增加;双剪强度理论计算的位移值较小,应谨慎采用,同时采用Mohr-Coulomb强度准则时可以适当考虑围岩的承载潜力。  相似文献   

13.
This work describes a constitutive framework for modeling the behavior of rough joints under cyclic loading. Particular attention is paid to the intrinsic links between dilatancy, surface degradation, and mobilized shear strength. The framework also accounts for the important effect of shear‐induced anisotropy. The resulting approach is fully three‐dimensional and is not restricted to plane‐displacement kinematics. Both the governing formulation and an algorithm for implicit numerical integration are presented. While the proposed methods are general, we also postulate a specific model that is compared with experimental data. It employs relatively few free parameters but shows good agreement with laboratory tests. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

14.
针对粗粒料的应变软化、剪胀等力学特性,通过考虑以剪切带为标志的应变局部化现象,建立了具有广泛适用性的剪切损伤力学模型。损伤模型采用了包体理论中的剪切带数学简化,基于应变等价原理、Weibull分布,推导了粗粒料的应力-应变关系方程。从剪胀作用的机制出发,提出可以描述剪胀弱化的轴向塑性应变和体积塑性应变的非线性函数关系。结合粗粒料三轴压缩试验中的伺服过程,提出了基于遗传算法的损伤模型参数确定方法。通过开展不同围压下的粗粒料三轴压缩试验,对剪切损伤力学模型进行验证,进一步分析了参数演化对粗粒料强度和变形特征的影响。研究结果表明,考虑应变局部化特征的剪切损伤力学模型可以高精度的模拟粗粒料的应变软化和剪胀等特征,有效揭示剪切带内部变形对试样整体宏观变形的影响机制,模型中剪切带参数和围压的关系与粗粒料细观机制一致,计算得到强度组成与颗粒破碎、重组特征较为吻合。  相似文献   

15.
颗粒大小对颗粒材料力学行为影响初探   总被引:1,自引:0,他引:1  
戴北冰  杨峻  周翠英 《岩土力学》2014,35(7):1878-1884
利用一种特殊颗粒材料-玻璃珠进行了一系列室内直剪试验,研究颗粒大小对颗粒材料力学行为的影响。试验一共考虑了3条近乎平行的级配曲线和4种颗粒摩擦情况:干燥状态、水浸润状态、水淹没状态和油浸润状态。试验结果表明,颗粒大小对颗粒材料的力学行为有显著影响,剪胀性随着粒径的增大而增强。为考虑颗粒大小对剪胀性的影响,提出了一种新的剪胀关系式。在该剪胀关系式中,剪胀系数为依赖于颗粒大小和颗粒摩擦等颗粒基本性质的变量。试验研究同时表明临界状态摩擦角随着颗粒大小的增加而增加。此外,从颗粒细观运动的角度提出了颗粒滑动的功能模型,推导出了功能方程,并以此揭示了颗粒大小对临界状态摩擦角影响的细观机制。  相似文献   

16.
姜景山  程展林  左永振  丁红顺 《岩土力学》2014,35(11):3129-3138
剪胀性是土体显著区别于一般弹性材料的基本特性,与土体的强度和变形特性密切相关。通过4组不同初始密度的塔城砂砾石常规大型三轴试验,研究剪胀性对粗粒土强度和变形特性的影响。试验结果表明,(1)若体变速率(体变和轴向应变均以压缩为正)先从正值减小到负值并达到最小值,随后又有所增大但仍小于0,则应力-应变曲线为软化型,在比值为最小值时土体剪胀性最大,对应于峰值强度,若体变速率从某一正值单调减小并一直大于0,则应力-应变曲线为硬化型;(2)体变变化趋势取决于剪胀性和压缩性的大小,剪切后期若剪胀速率大于压缩速率,则体变先压缩后膨胀,应力-应变曲线呈软化型,反之若剪胀速率小于压缩速率,则体变一直是压缩的,应力-应变曲线呈硬化型。研究结果对于加深认识粗粒土的强度和变形特性具有重要意义。  相似文献   

17.
Since cross-anisotropic sand behaves differently when the loading direction or the stress state changes, the influences of the loading direction and the intermediate principal stress ratio (b = (σ 2 ? σ 3)/(σ 1 ? σ 3)) on the initiation of strain localization need study. According to the loading angle (angle between the major principal stress direction and the normal of bedding plane), a 3D non-coaxial non-associated elasto-plasticity hardening model was proposed by modifying Lode angle formulation of the Mohr–Coulomb yield function and the stress–dilatancy function. By using bifurcation analysis, the model was used to predict the initiation of strain localization under plane strain and true triaxial conditions. The predictions of the plane strain tests show that the major principal strain at the bifurcation points increases with the loading angle, while the stress ratio decreases with the loading angle. According to the loading angle and the intermediate principal stress ratio, the true triaxial tests were analyzed in three sectors. The stress–strain behavior and the volumetric strain in each sector can be well captured by the proposed model. Strain localization occurs in most b value conditions in all three sectors except for those which are close to triaxial compression condition (b = 0). The difference between the peak shear strength corresponding to the strain localization and the ultimate shear strength corresponding to plastic limit becomes obvious when the b value is near 0.4. The influence of bifurcation on the shear strength becomes weak when the loading direction changes from perpendicular to the bedding plane to parallel. The bifurcation analysis based on the proposed model gives out major principal strain and peak shear strength at the initiation of strain localization; the given results are consistent with experiments.  相似文献   

18.
为研究高填方路堤压实土率相关变形特征,对不同压实度的非饱和压实土分别开展了不同加载速率以及不同围压条件下的CD三轴剪切试验,探讨了不同工况下压实土的剪切强度指标;借助GDS饱和土静态三轴仪的围压控制器来间接测定非饱和压实土体变的途径。试验结果表明:压实土强度及变形特征具有明显的时间相依性,加载速率越大,压实土的抗剪强度越高,超固结变形特性越强,抗剪强度指标黏聚力c值增幅较大、内摩擦角 值增幅较小;低围压下,压实土呈应变软化及剪胀变形,且压实度越高,应变软化及剪胀变形越显著,c值增加明显、 值增加缓慢。采用基于下负荷面的弹黏塑性本构模型对路基压实土的率相关变形特征进行表征,预测结果与试验数据吻合良好,表明该模型适用于高填方路堤长期沉降分析。  相似文献   

19.
剪切带的体积变形研究对于正确认识剪切带的变形破坏机理具有重要意义。为了研究单轴压缩黏土试样剪切带的体积变形特征,在土样微裂纹出现时根据局部体积应变较高的位置(位于剪切带上)布置测线,在利用数字图像相关方法获得的应变场进行插值的基础上,统计获得局部体积应变的均值和标准差的演变规律,提出了局部扩容角的概念。研究发现:(1)总体上,在压缩过程中,剪切带的体积变形由压缩向膨胀转变,但期间会出现由膨胀到压缩的反复过程。(2)尽管在加载过程中土样整体一直表现为压缩,但局部(剪切带上一些位置)体积膨胀发生于纵向应变=0.04~0.09时,若以测线上局部体积应变的均值出现大于0作为评价标准,则局部体积膨胀发生于纵向应变=0.06~0.14时。(3)局部体积应变的峰迁移的速度可达(3.77~8.48)×10-5m·s-1。(4)若根据局部体积应变的高值区位置布置测线,当测线上局部体积应变的均值从小于0变为大于0之后,土样整体体积表现为压缩,剪切带上局部扩容角的最大值在13.47°~56.26°之间快速增加。若根据狭长剪切带位置布置测线,剪切带上局部扩容角的平均值在16.60°~45.79°之间快速增加。在土样整体表现为压缩的前提下,通过定义常规意义上的扩容角,不能解释客观发生的局部体积膨胀现象。  相似文献   

20.
This paper evaluates the mechanical behaviour of yielding frictional geomaterials. The general Double Shearing model describes this behaviour. Non‐coaxiality of stress and plastic strain increments for plane strain conditions forms an important part of this model. The model is based on a micro‐mechanical and macro‐mechanical formulation. The stress–dilatancy theory in the model combines the mechanical behaviour on both scales. It is shown that the general Double Shearing formulation comprises other Double Shearing models. These models differ in the relation between the mobilized friction and dilatancy and in non‐coaxiality. In order to describe reversible and irreversible deformations the general Double Shearing model is extended with elasticity. The failure of soil masses is controlled by shear mechanisms. These shear mechanisms are determined by the conditions along the shear band. The shear stress ratio of a shear band depends on the orientation of the stress in the shear band. There is a difference between the peak strength and the residual strength in the shear band. While peak stress depends on strength properties only, the residual strength depends upon the yield conditions and the plastic deformation mechanisms and is generally considerably lower than the maximum strength. It is shown that non‐coaxial models give non‐unique solutions for the shear stress ratio on the shear band. The Double Shearing model is applied to various failure problems of soils such as the direct simple shear test, the biaxial test, infinite slopes, interfaces and for the calculation of the undrained shear strength. Copyright © 2006 John Wiley & Sons, Ltd.  相似文献   

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