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Hu  Nian  Yu  Hai-Sui  Yang  Dun-Shun  Zhuang  Pei-Zhi 《Acta Geotechnica》2020,15(5):1125-1151

This paper presents a fabric tensor-based bounding surface model accounting for anisotropic behaviour (e.g. the dependency of peak strength on loading direction and non-coaxial deformation) of granular materials. This model is developed based on a well-calibrated isotropic bounding surface model. The yield surface is modified by incorporating the back stress which is proportional to a contact normal-based fabric tensor for characterising fabric anisotropy. The evolution law of the fabric tensor, which is dependent on both rates of the stress ratio and the plastic strain, rules that the material fabric tends to align with the loading direction and evolves towards a unique critical state fabric tensor under monotonic shearing. The incorporation of the evolution law leads to a rotational hardening of the yield surface. The anisotropic critical state is assumed to be independent of the initial values of void ratio and fabric tensor. The critical state fabric tensor has the same intermediate stress ratio (i.e. b value) and principal directions as the critical state stress tensor. A non-associated flow rule in the deviatoric plane is adopted, which is able to predict the non-coaxial flow naturally. The stress–strain relation and fabric evolution of model predictions show a satisfactory agreement with DEM simulation results under monotonic shearing with different loading directions. The model is also validated by comparing with laboratory test results of Leighton Buzzard sand and Toyoura sand under various loading paths. The comparison results demonstrate encouraging applicability of the model for predicting the anisotropic behaviour of granular materials.

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3.
孙逸飞  沈扬 《岩土力学》2018,39(4):1219-1226
分数阶微分理论在土体静力黏弹性本构模型中得到了广泛应用,然而,其在动力弹塑性模型中的应用尚不多见。为此,基于分数阶微积分理论分析了粗粒料在循环荷载下的变形特性,提出了粗粒料在循环荷载下的分数阶应变率;并以此为基础,进一步建立了粗粒料受静动力荷载作用下的边界面塑性力学本构模型。所提出模型包含10个参数,均可以运用常规三轴试验获得。为了验证所提出模型,选取了几种已有不同文献中的不同粗粒料试验数据进行了模拟,发现,所提出的模型可以较好地模拟粗粒料在静动力加载下的应力-应变行为,对于循环荷载下的长期变形也能较好地预测。  相似文献   

4.
This paper presents a finite element program, for the modelling of rutting of flexible pavements. In its present version, the program incorporates a permanent deformation model for unbound granular materials based on the concept of the shakedown theory developed by Zarka for metallic structures under cyclic loadings and has been used to estimate the permanent deformations of unbound granular materials (UGM) subjected to traffic loading. The calculation is performed in two steps: the first step consists in modelling the resilient behaviour of the pavement in 3D, using non-linear elastic models, to determine the stress field in the pavement. Then stress paths are derived and used to calculate the permanent deformations and the displacements, using a Drucker–Prager yield surface. An application to the prediction of the permanent deformations of experimental pavements with an unbound granular base, tested on the LCPC pavement testing facility is presented.  相似文献   

5.
高速铁路路基上的轨道以及附近区域的结构物承受低幅值、高循环振动荷载的反复作用。在此低幅值、高循环荷载作用下土体会产生不可恢复的应变累积,导致轨道及附近区域结构物发生附加沉降。当前,描述土体的循环变形特征的理论分为两类:一类是基于经典塑性理论的应力-应变滞回模型(例如边界面模型),另一类是基于循环三轴试验经验规律的应变累积模型(例如Bochum累积模型)。为了能够预测土体在低幅值、高循环荷载作用下的应变累积行为,在前人对土体在低幅值、高循环荷载作用下大量试验研究的基础上,在经典弹塑性理论的框架下,提出一个土体在低幅值、高循环荷载作用下的应变累积模型。该模型通过用对数律来描述塑性体应变的累积规律,并以此作为应变累积的大小度量,然后通过修正Cam-clay模型的流动准则来描述应变累积的发展方向。最后,通过多组试验结果的模拟,表明所提出的应变累积模型能够较好地预测土体在低幅值、高循环荷载作用下的应变累积行为,具有广泛的应用前景。  相似文献   

6.
朱晟 《岩土力学》2006,27(Z2):221-224
三轴试验的结果表明,由于应用于水利工程的沥青混凝土自身的孔隙率小,侧向作用效应十分明显,体积变形较小,且主要表现为剪胀特性,目前已有的非线性和弹塑性模型难以正确地反映复杂应力状态下的这种力学行为。考虑沥青混凝土不遵守关联流动法则和Drucker公设,其弹性系数伴随塑性变形过程而改变,建议了一个在弹塑性耦合基础上的双屈服面弹塑性模型,与室内三轴试验结果吻合良好。  相似文献   

7.
沥青混凝土心墙堆石坝三维地震反应分析   总被引:3,自引:1,他引:2  
朱晟 《岩土力学》2008,29(11):2933-2938
基于沥青混凝土的动力三轴试验资料,建立了相应的动力计算模型。采用三维有效应力动力分析方法,结合即将开工的某沥青混凝土心墙堆石坝,利用TSDA程序计算分析了坝体的加速度、动应力反应和大坝的地震永久变形,并对坝基细砂层在地震过程中的液化问题进行了研究,认为沥青混凝土心墙具有良好的抗震性能,大坝在地震过程中是安全的;坝基砂Ⅲ层可能发生液化,需要进行加固处理,分析结论可供同类工程建设参考。  相似文献   

8.
结构性粘土的边界面砌块体模型   总被引:6,自引:0,他引:6  
把天然粘土的变形看作是由结构的破坏引起的。总的变形由结构性粘土的弹性变形、结构面的滑移塑性变形和结构体破损引起的的损伤塑性变形组成。把滑移屈服面看作可以扩大、旋转的运动硬化面,并作为边界面,通过内插塑性模量来描述滑移塑性变形。采用损伤边界面,通过规定加荷或反向加荷产生损伤变形,卸荷不产生损伤变形来描述损伤塑性变形。建立了结构性粘土的边界面砌块体模型,并用试验进行了验证。  相似文献   

9.
考虑循环载荷下饱和黏土软化的损伤边界面模型研究   总被引:1,自引:0,他引:1  
胡存  刘海笑  黄维 《岩土力学》2012,33(2):459-466
研究表明,循环载荷作用下饱和黏土将发生软化,其机制主要有两个:一是孔压的积累;二是土体原有结构的不断损伤和新结构的不断重塑。针对上述机制,基于广义各向同性硬化准则建立了考虑饱和黏土循环软化的损伤单面模型。该模型在有效应力空间中引入损伤变量,表征土体结构的损伤和重塑程度,在连续的循环加载下,损伤不断累积,边界面则随着损伤的累积不断收缩,以模拟饱和黏土刚度和强度的软化;以应力反向点作为边界面的广义各向同性硬化中心和映射法则的映射中心,灵活地选择塑性模量的插值公式以模拟塑性变形和孔压的累积以及应力-应变的滞回特性。应用该模型对不排水循环三轴试验进行模拟,并且考查了循环周次、循环应力水平和固结历史对饱和黏土循环软化特性的影响,并与相关试验比较,验证了模型的有效性。  相似文献   

10.
循环荷载作用下接触面的边界面模型研究   总被引:1,自引:0,他引:1  
孙吉主  施戈亮 《岩土力学》2007,28(2):311-314
基于边界面的概念,建立了循环荷载作用下砂与结构物接触面的边界面塑性模型,以描述其剪切应力与剪应变的滞回特性。该模型考虑了初始相对密度和法向应力的影响,同时在弹性模量中引入损伤因子,反映了接触面在循环荷载下逐渐硬化的性质。通过比较理论计算与试验结果,显示了该模型的合理性。  相似文献   

11.
A hierarchical concept is proposed for the development of constitutive models to account for various factors that influence behaviour of (geologic) materials. It permits evolution of models of progressively higher grades from the basic model representing isotropic hardening with associative behaviour. Factors such as non-associativeness and induced anisotropy due to friction and cyclic loading, and softening are introduced as corrections or perturbations to the basic model. The influence of these factors is captured through non-associativeness manifested by deviation from normality of the plastic strain increments to the yield surface, F. Details of four models: isotropic hardening with associative behaviour, isotropic hardening with non-associative behavioural anisotropic hardening and strain-softening with a damage variable are presented. They are verified with respect to laboratory multiaxial test data under various paths of loading, unloading and reloading for typical soils, rock and concrete. The proposed concept is general, yet sufficiently simplified in terms of physical understanding, number of constants and their physical meanings, determination of the constants and implementation.  相似文献   

12.
Viscoelastic damage model for asphalt concrete   总被引:1,自引:1,他引:0  
The strain rate-dependent mechanical behavior of asphalt concrete was characterized using unconfined compression tests carried out at different loading rates. It was shown that at high strain rates, the elastic deformation and peak axial stress are highly sensitive to strain rate. Both increase as the strain rate increases. At very low strain rates, elastic response and unconfined compressive strength are relatively independent of the loading rate. Based on the experimental observations, a simple viscoelastic damage model is proposed for the strain rate-dependent unconfined compression behavior of asphalt concrete. In the model, strain rate response is modeled by a two-component viscoelastic model consisting of a constant elastic modulus and a viscous modulus that is related by a power-law function to the axial strain rate. Failure and strain softening are modeled via a damage formulation where damage evolution in the asphalt concrete is given by a simple form of the Weibull distribution function. The model was shown to be capable of describing the strain rate-dependent deformation, compressive strength, strain-softening and creep behavior of asphalt concrete. The model is relatively simple and requires only five material parameters.  相似文献   

13.
Hypoplastic model for sands with loading surface   总被引:3,自引:3,他引:0  
Although the hypoplastic models for sands have exhibited good predictive capability in monotonic loading, they are not able to reproduce memory effects and predict excessive plastic accumulation under cyclic loading. To overcome these issues, a loading surface has been incorporated into a hypoplastic model. This surface is capped and has two hardening variables. Notions from the bounding surface plasticity were borrowed in order to formulate the hardening functions. With this novel model, some salient features can be described: the model can account for the accumulation of plastic deformation, a memory effect is provided by the new surface, and stress-induced anisotropy effects observed in sands are successfully simulated. A short calibration guide of the parameters is given, and some simulations for Hostun RF loose sand and Toyoura sand are presented.  相似文献   

14.
循环荷载作用下黏土改进边界面模型   总被引:1,自引:0,他引:1  
李剑  陈善雄  姜领发 《岩土力学》2015,36(2):387-392
为克服边界面模型应用不便、不能反映卸载过程中土体的弹塑性性质的缺陷,提出了一个循环荷载作用下可考虑弹塑性加、卸载过程的重塑黏土改进边界面模型。模型采用了简单的边界面形式,可大大简化该模型理论的推导与计算;采取了不预先定义边界面大小的方式,有效地降低了改进边界面模型在应用过程中的经验性;加入边界面胀缩规则,使模型可考虑土样卸载过程中的弹塑性性质,进而可反映土样的滞回特性。通过对重塑黏土进行循环三轴数值模拟试验,并与真实试验结果进行对比分析,验证了改进边界面模型的合理性和有效性。数值验证结果表明,改进边界面模型具有物理意义明确、参数易于确定、形式相对简单的特点,且该模型计算精度较高,计算结果与试验结果吻合得较好。  相似文献   

15.
The main purpose of the paper is to present a relatively simple, yet realistic, constitutive model for simulations of structured sensitive clays. The proposed constitutive model can simulate 1‐D and isotropic consolidation, and drained and undrained shear response of sensitive structured clay. The proposed sensitive bounding surface model is based on concepts from the modified Cam clay model 8 and bounding surface plasticity 27 , with the addition of a simple degradation law. The key material parameters are M, λ, κ, and ν from the modified Cam clay framework, h from the bounding surface framework to model a smoothed elasto‐plastic transition, and ωv, ωq, and Ssr to model softening associated with destructuration. The model has separate parameters to model destructuration caused by volumetric strain and deviatoric strain. The model is capable of modeling unusual behavior of strain softening during 1‐D compression (i.e., a reduction of effective stress as void ratio decreases). A good match between test results and the model simulation is demonstrated. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

16.
Improved, microfabric‐inspired rotational hardening rules for the plastic potential and bounding surfaces associated with the generalized bounding surface model for cohesive soils are presented. These hardening rules include 2 new functions, fη and , that improve the simulation of anisotropically consolidated cohesive soils. Three model parameters are associated with the improved hardening rules. A detailed procedure for obtaining suitable values for these parameters is presented. The first 2 parameters affect the simulation of constant stress ratio loading where, because of the presence of fη, the third parameter is inactive. The second new function, , accelerates the rotation of the plastic potential and bounding surfaces during shearing, which is particularly important for overconsolidated soils tested in extension. This paper also describes the proper manner in which to define the inherent anisotropy. This seemingly straightforward test has rarely been discussed in sufficient detail.  相似文献   

17.
雷小芹  杨果林 《岩土力学》2012,33(2):635-640
利用FLAC3D程序提供的二次开发平台UDM在VC++编译环境下实现了一基于修正剑桥模型的简化边界面模型的开发。介绍了边界面模型的基本原理,并给出了开发关键技术和具体实施方法。通过三轴加卸载试验、不排水静三轴试验、不排水动三轴试验等几种数值试验与修正剑桥模型进行了对比研究。计算结果验证了所开发的边界面模型的正确性及相对修正剑桥模型的优越性。  相似文献   

18.
Repeated small amplitude dynamic loading of the soil in the vicinity of buildings, as arising from traffic or construction activities, may cause differential foundation settlements and structural damage. In this paper, a numerical model for soils under repeated dynamic loading is formulated. It is assumed that the dynamic part of the loading is small with respect to the static part, reflecting the stress conditions in the soil underneath buildings. As the plastic deformation in the soil is only observed after a considerable amount of dynamic loading cycles, only the accumulation of the average plastic deformation is considered. The model accounts for the dependency of the deformation on the stress conditions and the dynamic loading amplitude. The accumulation model is implemented in a finite element framework, using a consistent tangent approach in combination with a backward Euler integration scheme. A triaxial test is considered in a first numerical example. The available analytical solution for this problem allows to validate the numerical implementation. Second, the differential settlement of a two‐storey building founded on loose sandy soil under repeated vehicle passages is considered. The differential foundation settlement causes the stresses to increase at the bottom of the wall, which may result in damage. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

19.
This paper presents parallel and serial viscoelasto‐plastic models to simulate the rate‐independent and the rate‐dependent permanent deformation of stone‐based materials, respectively. The generalized Maxwell viscoelastic and Chaboche's plastic models were employed to formulate the proposed parallel and serial viscoelasto‐plastic constitutive laws. The finite element (FE) implementation of the parallel model used a displacement‐based incremental formulation for the viscoelastic part and an elastic predictor—plastic corrector scheme for the elastoplastic component. The FE framework of the serial viscoelasto‐plastic model employed a viscoelastic predictor—plastic corrector algorithm. The stone‐based materials are consisted of irregular aggregates, matrix and air voids. This study used asphalt mixtures as an example. A digital sample was generated with imaging analysis from an optically scanned surface image of an asphalt mixture specimen. The modeling scheme employed continuum elements to mesh the effective matrix, and rigid bodies for aggregates. The ABAQUS user material subroutines defined with the proposed viscoelasto‐plastic matrix models were employed. The micromechanical FE simulations were conducted on the digital mixture sample with the viscoelasto‐plastic matrix models. The simulation results showed that the serial viscoelasto‐plastic matrix model generated more permanent deformation than the parallel one by using the identical material parameters and displacement loadings. The effect of loading rates on the material viscoelastic and viscoelasto‐plastic mixture behaviors was investigated. Permanent deformations under cyclic loadings were determined with FE simulations. The comparison studies showed that the simulation results correctly predicted the rate‐independent and rate‐dependent viscoelasto‐plastic constitutive properties of the proposed matrix models. Overall, these studies indicated that the developed micromechanical FE models have the abilities to predict the global viscoelasto‐plastic behaviors of the stone‐based materials. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

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