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1.
Stability and bifurcation of plane-strain, undrained, rectilinear deformations on water-saturated granular soil specimens are discussed. The soil, sand or normally consolidated clay, is described by a 2D-flow theory of plasticity for frictional material with non-associated flow rule. Contractant material become unstable (liquefies) at the state of maximum deviatoric stress. For dilatant material the dominant failure mode is shear banding that occurs close to the state of maximum principal effectivestress ratio. The theoretical findings are supported by and are used to explain existing experimental results.  相似文献   

2.
An infinite dilatant elastic–plastic soil mass contains a single cylindrical or spherical cavity within which a slowly increasing pressure is applied. The removal of the cavity pressure takes place after a partly plastic state of the soil has been reached. Closed form solutions for the stress and displacement fields in the soil during any stage of the unloading process are derived. The non-associated Mohr–Coulomb yield criterion is used to account for dilation of the soil during shearing. Large strains are taken into account by adopting an appropriate strain definition within the plastically deforming region.  相似文献   

3.
The stress solution in plasticity with an associated or a non-associated flow rule is considered. Upon fully implicit integration of the relevant constitutive relations the stress is obtained as the projection of the (fictitious) elastic stress onto the yield surface for given values of the hardening softening variables. This projection is defined, for a general non-associated flow rule, in adjusted complementary elastic energy, which becomes exactly the complementary energy when the flow rule is associated. Isotropic elasticity and mean-stress dependent isotropic yield criteria (pertinent to soil) are considered and the implications of a certain class of non-associated flow rules are evaluated. This class relates to dilatant (or contractant) materials and involves non-associated plastic volume change. The corresponding stress solutions are shown to be strongly influenced by Poisson's ratio and by the dilation angle.  相似文献   

4.
姚仰平  祝恩阳 《岩土力学》2014,299(2):328-333
由于沉积等作用使得天然土材料内部颗粒排列表现为各向异性。土材料的各向异性使得材料内各平面滑动的内摩擦角不同。因此,在分析各向异性土的破坏问题中,除了考虑来自外部的应力分布以外,还需考虑土材料内部的强度分布。以横观各向同性土为例,阐述了同时考虑材料外部应力分布与材料内部强度分布下各向异性土的破坏机制。为说明,文中假定横观各向同性土内部各平面的内摩擦角正切值随空间方向而线性分布。外部加载进行时,横观各向同性土材料内部各处的应力不断变化,当其内部某处首次出现的应力达到该处的强度时,土材料发生破坏。进一步通过类比得出:区别于金属,各向同性土不是在最大剪应力面而是在最大剪压比面发生破坏;区别于各向同性土,各向异性土不是在最大剪压比面而是在最大剪压强比面发生破坏。  相似文献   

5.
剪胀性对于砂土,尤其是中密以及密实砂土,是一个非常显著的特性。相变线是剪胀性砂土的特征曲线,能够反映砂土的围压以及初时孔隙比对变形特性的影响。本文在边界面塑性理论的框架内,把相变状态参量引入到剪胀方程以及塑性硬化模量中,建立了一个能够描述砂土剪胀性以及循环特性的本构模型。本模型采用一套参量可以模拟不同初时孔隙比、不同围压、排水(或不排水)条件下单调(或循环)加载的应力-应变特性。验证表明本模型数值计算与试验结果相吻合。  相似文献   

6.
基于中主应力修正关系的边坡稳定性分析   总被引:1,自引:0,他引:1  
龚文俊  曾立峰  孙军杰  李明永 《岩土力学》2014,35(11):3111-3116
边坡稳定性分析时通常将应力条件简化为平面应变状态,采用三轴试验强度计算出的边坡稳定性偏于保守。在充分考虑中主应力物理含义及力学机制的基础上,将Mises屈服准则与Mohr-Coulomb(简称M-C)内切圆屈服准则进行匹配,得到了平面应变条件下土体屈服破坏时中主应力的理论修正关系,进而也得到了该条件下最大主应力与最小主应力的比值关系,从理论上证明了该比值关系是与土体平面应变破坏时内摩擦角成一定关系的常数,也在平面应变试验中得到了验证,从侧面反映出中主应力理论修正关系的合理性。由上述两种关系建立了土体平面应变破坏条件下的应力路径,结合Lade-Duncan强度准则,建立了平面应变条件下强度参数与三轴试验试验条件下强度参数转换公式,由该转换公式得到的平面应变条件下的强度参数与平面应变试验实测值误差在2%左右,大幅缩小了三轴试验实测值与平面应变试验实测值的误差。在均质边坡稳定分析中分别采用常规三轴试验强度值与由公式转换得到的平面应变强度值进行计算。研究结果表明,三轴试验条件下内摩擦角为10°~20°之间时,基于两种强度参数得出的安全系数相差不大;当三轴试验条件下内摩擦角大于20°时,平面应变条件下安全系数较三轴试验条件下提高19%左右,但该成果只在文中计算案例有效,两者误差的准确关系还有待于进一步研究。值得关注的是,由于平面应变条件下土体强度变大,边坡的临界滑面深度变浅了,其形态相应变陡。  相似文献   

7.
本文对增量非线性模型进行了一般的讨论,指出了这类模型和其它一些模型的差别和联系,澄清了一些基本概念。文中介绍了土的非线性剪胀应力-应变模型,用一种砂样的试验数据确定KKG、KG和Ev三种模型的模量。对用这些模型计算的值与相应的试验值进行了比较和分析。结果表明,KKG模型的拟合能力和预测能力都较强,尤其是它能较好地模拟土的剪胀行为,预计的孔隙压力和有效应力路经与试验结果也比较吻合。这也说明,对一般的增量非线性模型作适当简化所得到的模型,是能在一定程度上较好地描述土的本构力学特性的。  相似文献   

8.
The paper by W. H. Zhou and J. H. Yin includes a problem regarding the pull-out resistance of a soil nail within dilatant soils. They calculate the pull-out force due to soil dilatancy using cylindrical expansion in an elastic medium. However, the soil in the vicinity of the nail experiences significant local softening behavior. This discussion indicates another method for calculating the normal stress due to soil dilatancy.  相似文献   

9.
In this paper the incremental nonlinear models are generally discussed, the correlation of this sort of models with others and the difference between them are interpreted, and some basic concepts are clarified. We presented a nonlinear dilatant stress-strain model for soil, which is referred to as KKG model for the sake of simplicity. The experimental results of a sand sample are used to determine the moduli for the following models KKG, KG (the deformation model), and Eν (elastoplastic model) respectively. The comparison of the calculation values of these models with the associated experimental results shows good fittings and prediction of KKG model, and its good simulation of soil dilatant behaviour in particular. The predicted pore pressure and effective stress path have a reasonably good agreement with observed results as well.  相似文献   

10.
A series of consolidated drained triaxial test was performed on weakly bonded soils that were artificially prepared by mixing sand (87%) and kaolin (13%). To create weakly bond strength, samples were fired at 500°C for 5 h. A critical state (CS) concept was used to interpret the results in order to describe the behaviour of the studied soil. Defining the CS is not always straightforward. Several tests showed changing in deviator stress q and volumetric strain εv up to the end of tests. Hence, defining the CS requires careful assessments on q–εa, Δu–εa, q–p′ and v–ln p′ spaces which were performed. A ‘discontinuity’ approach was applied to position the CS on dilatant path in v–ln p′ spaces after considering stress-strain and volumetric strain curves. The critical state line in a v–ln p? space from bonded samples exhibited differences to the destructured samples. This suggests that the influence of cementation bond is substantially clear at lower stresses but as stresses increase beyond the stress yield, cementation degradation becomes more significant. The effect of bonding can be clearly visualised from the normalisation of the stress paths of destructured and bonded samples.  相似文献   

11.
The mathematical structure and numerical analysis of classical small deformation elasto–plasticity is generally well established. However, development of large deformation elastic–plastic numerical formulation for dilatant, pressure sensitive material models is still a research area. In this paper we present development of the finite element formulation and implementation for large deformation, elastic–plastic analysis of geomaterials. Our developments are based on the multiplicative decomposition of the deformation gradient into elastic and plastic parts. A consistent linearization of the right deformation tensor together with the Newton method at the constitutive and global levels leads toward an efficient and robust numerical algorithm. The presented numerical formulation is capable of accurately modelling dilatant, pressure sensitive isotropic and anisotropic geomaterials subjected to large deformations. In particular, the formulation is capable of simulating the behaviour of geomaterials in which eigentriads of stress and strain do not coincide during the loading process. The algorithm is tested in conjunction with the novel hyperelasto–plastic model termed the B material model, which is a single surface (single yield surface, affine single ultimate surface and affine single potential surface) model for dilatant, pressure sensitive, hardening and softening geomaterials. It is specifically developed to model large deformation hyperelasto–plastic problems in geomechanics. We present an application of this formulation to numerical analysis of low confinement tests on cohesionless granular soil specimens recently performed in a SPACEHAB module aboard the Space Shuttle during the STS‐89 mission. We compare numerical modelling with test results and show the significance of added confinement by the thin hyperelastic latex membrane undergoing large stretching. Copyright © 2001 John Wiley & Sons, Ltd.  相似文献   

12.
地下水渗流作用下内部不稳定砂性土将发生潜蚀现象,潜蚀作用引起的土体渗透破坏会对土工建筑物或地基造成不良影响。考虑土体有效应力和细颗粒应力折减,建立渗流场中细颗粒受力模型,根据极限受力平衡状态得到潜蚀过程中砂性土细颗粒起动临界水力坡降计算公式,并通过DEM-CFD耦合方法以及现有试验数据进行验证。结果表明:砂性土中细颗粒以滚动方式起动,起动临界水力坡降受渗流水流、土体特性以及颗粒自身特性共同影响;砂性土表层细颗粒起动临界水力坡降受埋深影响较大,埋深1 cm的细颗粒最高、最低起动临界水力坡降相差10.169%,埋深10 cm时差异减少至1.061%。该计算方法与数值模拟和渗流试验结果的最大标准误差分别为6.038%、11.211%,可以较为准确地预测砂性土细颗粒起动临界水力坡降。  相似文献   

13.
董建军  邵龙潭 《岩土力学》2006,27(Z1):95-98
应力路径对土的强度和变形性质具有重要影响。相对于饱和土而言,控制吸力条件下的非饱和土三轴压缩状态的应力路径研究更加复杂。随着非饱和土本构理论的不断发展,理论和试验研究结果表明,非饱和土弹塑性本构模型可以用来近似地描述非饱和土的强度和变形性质。因而,运用非饱和土弹塑性本构模型对控制吸力条件下的3种非饱和土三轴压缩应力路径试验进行数值模拟是一种有效的理论研究手段。采用Barcelona模型能够对此类试验进行较好的数值模拟,其研究结果表明,在控制吸力条件的三轴压缩状态下应力路径对非饱和土的强度和变形性质具有重要影响。  相似文献   

14.
An iterative process based upon a hybrid ‘residual force’ method is presented for solving elasto–plastic soil–structure interaction problems. In this approach the soil and the structure are treated as separate bodies and related only by compatibility of displacements and equilibrium of forces at the soil–structure interface. This scheme enables a significant improvement in numerical stability and rate of convergence over the conventional initial stress method. It is also shown that various interface conditions such as shear failure, slip and breakaway, and frictional and dilatant behaviour can be readily accounted for. Some practical aspects associated with the proposed scheme are emphasized for a number of numerical examples.  相似文献   

15.
天然硅藻土的应力水平与孔隙空间分布的关系   总被引:4,自引:1,他引:3  
采用压汞法研究了不同固结压力作用下具有强结构性的天然沉积硅藻土的微观孔隙入口孔径分布与应力水平的关系。研究结果表明:当应力水平小于固结屈服应力时,具有强结构性的天然沉积硅藻土的微观孔隙入口孔径分布几乎与应力水平无关,而当外加应力水平达到固结屈服压力时,虽然总体孔隙空间体积几乎与天然沉积状态时一样,但其微观孔隙入口孔径分布则发生显著变化。在屈服后阶段,随着应力水平的增大硅藻土的孔隙空间体积逐渐减少,最大孔隙变小,整体孔隙空间的孔径趋于均匀。并对微观结构变化与宏观力学特性的内在联系也进行了初步探讨。  相似文献   

16.
Cavity expansion theories are employed in a wide range of geotechnical applications including interpretation of pressure meter tests, evaluation of shaft capacity of piles, and pulling forces for horizontal directional drilling. Most of these theories assume infinite medium and isotropic stress field, which may not be justified for many applications. The main objectives of this paper are two folds: to investigate the effects of the free surface, stress gradient, and in situ stress anisotropy on the displacements during the expansion phase of cavities embedded in dilatant sands; and to establish correction factors to account for these effects. The investigation was conducted using two-dimensional finite element analyses. It was found that the cavity expansion theory due to Yu and Houlsby (Geotechnique 41:173–183, 1991) can be used reliably for cases subjected to an initial isotropic stress and embedment depth to diameter ratio of 20 or higher. However, it becomes inaccurate for shallow embedment depth and/or stress anisotropy conditions. An analytical procedure to account for the effects of embedment and/or stress anisotropy was proposed. The applicability of the proposed procedure was demonstrated for a wide range of soil properties and geometrical configurations. The results obtained confirmed its ability to estimate the cavity pressures within 10?% of the values obtained using FEA calculations.  相似文献   

17.
程钰  周正明 《岩土力学》2011,32(5):1399-1404
非饱和湿陷性土与湿胀性土分别具有亚稳态孔隙比结构和超稳态孔隙比结构,广义吸力是维持这种结构稳定的主要因素。随着广义吸力的丧失,两种结构均处于一个不稳定的孔隙状态,土体会向一个更加稳定的孔隙比结构发展。超孔隙比结构孔隙比增大,土体产生膨胀,亚稳孔隙比减小,土体产生收缩。基于这一稳态孔隙比理论,建立了广义吸力丧失引起的孔隙比的增量方程,来统一考虑非饱和土的湿陷性和湿胀性变形特性,并通过经典试验数据验证了增量方程的合理性  相似文献   

18.
We present analogue models of the formation of dilatant normal faults and fractures in carbonate fault zones, using cohesive hemihydrate powder (CaSO4·½H2O). The evolution of these dilatant fault zones involves a range of processes such as fragmentation, gravity-driven breccia transport and the formation of dilatant jogs. To allow scaling to natural prototypes, extensive material characterisation was done. This showed that tensile strength and cohesion depend on the state of compaction, whereas the friction angle remains approximately constant. In our models, tensile strength of the hemihydrate increases with depth from 9 to 50 Pa, while cohesion increases from 40 to 250 Pa. We studied homogeneous and layered material sequences, using sand as a relatively weak layer and hemihydrate/graphite mixtures as a slightly stronger layer. Deformation was analyzed by time-lapse photography and Particle Image Velocimetry (PIV) to calculate the evolution of the displacement field. With PIV the initial, predominantly elastic deformation and progressive localization of deformation are observed in detail. We observed near-vertical opening-mode fractures near the surface. With increasing depth, dilational shear faults were dominant, with releasing jogs forming at fault-dip variations. A transition to non-dilatant shear faults was observed near the bottom of the model. In models with mechanical stratigraphy, fault zones are more complex. The inferred stress states and strengths in different parts of the model agree with the observed transitions in the mode of deformation.  相似文献   

19.
基于ANSYS软件模拟桩的挤入过程   总被引:2,自引:0,他引:2  
唐世栋  李阳 《岩土力学》2006,27(6):973-976
基于ANSYS软件分析了桩土之间的相互作用,模拟了桩打入时土中的应力、应变情况。通过结合ANSYS中的接触分析和生死单元,以DP材料来模拟土体,采用循环命令的方式来分析桩土接触时复杂的应力状态。模拟结果得到了圆孔扩张理论和极限平衡法的验证。  相似文献   

20.
人工冻土围压SHPB试验与冲击压缩特性分析   总被引:1,自引:0,他引:1  
利用分离式Hopkinson压杆(SHPB),以铝质套筒作为围压装置,分别研究温度为-8、-12、-16 ℃在不同应变率下的人工冻结黏土围压状态变形特征和轴向动态应力-应变关系。研究结果表明:在围压状态下,冻土呈黏塑性破坏特征;当人工冻结黏土温度为-16 ℃、平均应变率分别为410、457、525、650、827 s-1时,其最大应力分别为10.76、12.18、14.27、20.24、23.34 MPa,最大应变分别为0.081 7、0.097 2、0.105 0、0.131 0和0.166 0,表现出较强应变率效应;-12 ℃和-16 ℃时在应变率为457 s-1下的最大应力分别为8.28 MPa和12.18 MPa;当应变率相同时,温度越低,最大应力越大,冻结黏土表现出较强的温度相关性。人工冻土的动力学特性为冻土开挖方法的研究提供依据。  相似文献   

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