A hypoplastic model for clay and sand

The theory of hypoplasticity was developed initially for non-cohesive soils. However, sand and clay have many common properties; therefore arose the idea to extend the hypoplastic model to clay. The proposed model is able to describe the behaviour of cohesive soils with the incorporation of an appropriate structure tensor into the constitutive equation. This tensor is a stress-like internal parameter, also called back stress. This enables us to describe the behaviour of cohesive soils with the same material parameters for several states of consolidation and also to model barotropy and pycnotropy of sand. Numerical simulations of element tests are performed in order to check the performance of this hypoplastic model. Experimental data obtained with normally and overconsolidated clay and sand specimens with various densities are taken for comparison, and it is shown that the model is capable of describing the material behaviour of clay and sand. The determination of the material constants, the calibration method, is also presented in this paper.     

An Analytical Investigation of a Variable-Compliance-type Constitutive Equation

Summary. A constitutive equation is proposed in which the compliance is assumed to monotonically increase as a load is applied. The primary feature of the constitutive equation is that the equation can be applied to various loading conditions such as constant stress rate, constant strain rate, creep, or relaxation. The second feature is that the equation has exact solutions under many loading conditions. The present paper shows the exact solutions for the constitutive equation and investigates the mutual relationships between the exact solutions for the different loading conditions. The third feature is that it is comparatively easy to find the constants in the constitutive equation. The present paper shows how to solve the constitutive equation for the constants, and the constants for some native Japanese rocks. The constitutive equation used in the present paper is extremely simple. Therefore, the equation can be easily implemented in almost any FEM code. It is likely that additional terms of the constitutive equation will prove necessary for practical usage. However, additional terms can be found very easily by finding higher-order approximations of experimental data.     

剪切对非饱和土土-水特征曲线影响的探讨

用净平均应力和吸力等于常数、偏应力增大的三轴排水剪切试验，探讨了剪切对非饱和土水量变化的影响。试验结果表明，土-水特征曲线依赖于偏应力，改进了非饱和土中水量变化的本构关系，建立了含水量．吸力．净平均应力．偏应力形式的土．水特征曲线。     

A basic hypoplastic constitutive model for sand

Hypoplastic constitutive models are based on nonlinear tensor functions and are characterized by simple formulation and few parameters. In its early stage, mainly basic hypoplastic constitutive equations were concerned, where the stress tensor is assumed as the only state variable. There followed some enhanced models based on the basic constitutive equation by including void ratio as an additional state variable. In this paper, we first show that the widely used hypoplastic model by Wolffersdorff is seriously flawed because the underlying basic equation does not perform properly. We proceed to develop a basic hypoplastic constitutive equation by introducing a new tensorial term, which preserves the critical state at large strain. The model performance is demonstrated by parameter study for some element tests. This simple and robust basic equation is well suited to build more sophisticated models.     

A constitutive model for sand based on non-linear elasticity and the state parameter

The paper describes the development of a constitutive model for a poorly graded sand, which was used in geotechnical experiments on buried pipes (reported elsewhere). The sand was tested extensively in the laboratory to determine the state parameter constants. Triaxial tests on the sand included conventional drained triaxial compression tests, as well as more specialized shearing tests at constant mean effective stress and others at constant volume. Single element simulation of the triaxial tests was performed to validate the proposed constitutive model. The adopted model allowed non-linear elastic behaviour prior to yielding. After yielding of the sand, the state parameter-based model for the sand permitted non-associated plastic flow. Dilation and frictional strength were both dependent on the current value of the state parameter. The combination of laboratory testing and single element modelling resulted in the selection of a single set of material constants for the soil, which adequately described the full range of triaxial tests. Subsequently the model was applied to the problem of a plate loading test on the sand and the model predictions were compared with the test data.     

堆石料的剪胀特性与广义塑性本构模型

以三轴试验成果为基础,考虑颗粒破碎引起堆石料剪胀比与应力比之间的非线性关系,提出了能够反映堆石料低围压剪胀、高围压剪缩特性的剪胀方程。在广义塑性理论框架内构造堆石料的塑性流动方向向量和加载方向向量,引入依赖于密实度与平均应力的压缩参数,构造随平均应力、剪应力比和密实度变化的塑性模量,建立了一个考虑颗粒破碎的堆石料弹塑性本构模型。阐述了该模型10个参数的确定方法,并通过模拟不同围压和不同应力路径下堆石料的三轴压缩试验资料验证了模型与参数的合理性。     

A 1D Hypoplastic constitutive model for expansive soils

This paper presents a simple hypoplastic constitutive model that describes the essential features of the material behaviour of partially saturated clayey soils observed in oedometric compression tests. The model is formulated in terms of net stress and degree of saturation. The total strain rate is decomposed into a portion related to the changes in saturation and a portion for the evolution of net stress. However, no distinction is made between plastic and elastic strains. With this strain rate decomposition, the maximum swelling strain/stress are obtained by simulating wetting processes under constant stress/strain conditions. In addition to the void ratio, the model includes two scalar variables to track the loading history (preloading). The calibration of the model constants using common laboratory tests is discussed. Confined and unconfined swelling tests under oedometric conditions with subsequent loading and unloading phases carried out on three different materials were satisfactorily simulated by the model. Its promising results call for an extension to a 3D formulation.

     

Numerical integration and FE implementation of a hypoplastic constitutive model

Hypoplastic constitutive equation based on nonlinear tensor functions possesses a failure surface but no yield surface. In this paper, we consider the numerical integration and FE implementation of a simple hypoplastic constitutive equation. The accuracy of several integration methods, including implicit and explicit methods, is examined by performing a set of triaxial compression tests. Adaptive explicit schemes show the best performance. In addition, the stress drift away from the failure surface is corrected with a predictor-corrector scheme, which is verified by two boundary value problems, i.e. rigid footing tests and slope stability.     

不同加载方向条件下堆石料剪胀特性试验研究

剪胀方程描述的是塑性应变增量比例大小的变化规律,是构建弹塑性模型的重要组成部分。然而目前堆石料的剪胀方程大都是根据等围压 路径得到的,这些剪胀方程是否能反映不同应力路径条件下堆石料的剪胀规律还尚不明了。开展了等围压 、等轴向力 、等平均主应力p、等主应力比 共4种应力路径下的堆石料大型三轴试验,研究了应力路径对堆石料剪胀规律的影响。试验表明：不同路径的剪胀比 和应力比 均呈近似线性关系,但剪胀比与应力比不存在一致的关系,表现出明显的应力路径相关性;在 - 空间中,剪胀线随着应力增量方向的变化会发生平移和转动,其斜率 和截距参数 均随 ( )的增大而增大;目前的剪胀理论不能较好地描述剪胀的应力路径相关性,提出了一个考虑应力增量方向影响的修正剪胀方程并对其进行了试验验证。     

基于广义塑性力学的土体次加载面循环塑性模型(Ⅱ):本构方程与验证

按广义塑性力学原理，导出了土体次加载面循环塑性模型的本构方程，建立了相应的加卸载准则以及模型参数的确定方法。通过多种应力路径下土的本构响应的模拟，表明次加载面循环塑性模型能较好地反映循环荷载作用下土体呈现的非线性、滞回性与变形的积累性三方面主要特征，初步验证了模型的有效性。     

利用旁压试验的砂土初始状态反演分析

讨论了砂土旁压试验的反分析问题。建议利用旁压试验实测数据反演确定土体的初始状态而非材料参数,材料参数可以通过实验室常规试验确定。主要利用了新型的亚塑性本构模型参数不受土体状态影响的特点。主要内容包括：建立有限元数值模型,利用文献中的试验数据确定了特定砂土的材料参数;通过模拟砂土的实验室旁压试验,验证了数值模型;通过改变土体初始应力状态和相对密实度进行数值计算,并利用数值计算成果,建立了可适用于砂土初始状态反演分析的实测旁压荷载和土体中应力与相对密度的数学关系。     

主应力方向对砂土剪胀性的影响分析

剪胀性是土特有的一种材料属性,而准确地描述砂土的剪胀性则是建立砂土本构模型的重要基础。大量常规三轴试验发现,在以相同加载条件下剪切时密砂和松砂会表现出完全不同的剪胀性和应力-应变关系特性,说明砂土的剪胀性不仅与其所处的应力状态有关,也与其物理状态相关。状态参量理论很好地解释了砂土所处应力状态和物理状态对剪胀性的共同作用。空心扭剪三轴试验仪可以实现不同主应力方向的单调剪切试验。试验结果表明,当砂土以不同主应力方向单调剪切时,即使处于相同初始应力条件和物理状态,砂土也会表现出不同的剪胀性,说明了主应力方向也是决定砂土剪胀性的重要条件。本文通过分析试验中主应力方向对砂土剪胀性的影响,提出了一个含有主应力方向的状态参量,并建立了相应的剪胀方程。通过与试验数据的对比,验证了该方法的正确性和准确性。     

复杂应力条件下土体各向异性及其建模思路

由于加荷方式不同,土体在复杂应力状态下在各主应力方向上应力-应变关系表现出显著应力各向异性,在常规三轴试验基础上,采用经典弹塑性理论各向同性土体模型对此不能合理描述。通过真三轴试验,总结应力各向异性柔度矩阵规律,结合试验规律进行相应理论研究,用非线性各向异性弹性矩阵代替弹塑性模型的弹性矩阵,用具有各向异性屈服准则的弹塑性模型描述塑性部分,建立非线性各向异性弹性-塑性模型,可以改善柔度矩阵矩阵形态,反映复杂应力状态下土体应力各向异性特征。     

冲击荷载下红砂岩非线性黏弹性损伤本构研究

根据红砂岩在冲击荷载作用下应力曲线表现出的明显的分段特征,以朱王唐本构模型为基础进行改进,建立了一种非线性体、Maxwell体和基于Weibull分布的损伤体并联的本构模型;根据红砂岩动态力学特性,对朱王唐本构模型进行简化,并基于Lemaitre等效应变假设推导出一种率型损伤本构方程.对两种新建本构方程进行试验验证,讨...     

一种横观各向同性岩体蠕变模型

层状岩体由于层理面或者结构面的存在,在力学上具有横观各向同性的特点,现有的各向同性蠕变模型难以全面反映横观各向同性岩体的蠕变力学特性。为构建能够反映横观各向同性岩体的三维蠕变模型,以能反映瞬时应变、减速蠕变和稳态蠕变特征的黏弹性Burgers模型为基础,基于常泊松比假定,在三维各向同性蠕变本构方程的基础上,按照算子替换的方法,将横观各向同性柔度矩阵代替各向同性柔度矩阵,并考虑了平行和垂直层理方向岩体蠕变力学行为的差异性,推导了横观各向同性岩体的三维蠕变本构方程。根据本构方程的特点,提出了根据平行和垂直方向岩体蠕变试验结果进行三维蠕变本构模型中蠕变参数的辨识方法。将提出的模型应用于三轴蠕变试验参数辨识,从而获得了一套完整的三维蠕变参数,并与试验结果进行对比分析,从而验证了所提模型与方法的合理性和有效性。进一步,指出了传统蠕变试验设计方案的局限性,给出了横观各向同性材料蠕变试验设计建议。研究成果为研究岩体三维蠕变机制提供了新思路,可对岩体蠕变试验设计提供相应的科研支撑。     

粒状介质三维复杂应力加载离散元数值试验方法

实际荷载条件下（如交通、地震荷载）,粒状岩土材料常受到三维复杂应力路径作用。目前,多数粒状岩土材料的本构理论和模型都基于简单应力路径加载条件下的物理试验提出,在更加复杂应力路径下的适用性则需要进一步验证。但受机械控制的限制,物理试验中无法实现很多客观存在的三维复杂应力路径加载。为了能够再现并分析三维复杂应力路径下粒状介质的力学响应,提出了一种离散元数值试验方法,该方法采用球形数值试样,通过直接控制试样边界应力达到对3个主应力大小和方向的任意控制,从而可以实现诸多物理试验中无法实现的复杂应力路径。通过与目前常见的一些物理试验进行定性对比,论证了该数值试验方法通过高精度的加载控制和测量能够再现已有物理试验现象。在此基础上,进一步开展了应力主轴的三维旋转,分析了在这种实际存在却无法通过物理试验再现的加载条件下粒状介质的变形规律,初步显示了提出的数值试验方法在深入研究三维复杂应力路径下粒状介质力学响应方面所拥有的能力和优势。     

剪胀性砂土边界面模型的研究

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。     

Hydromechanical Behaviour of Fontainebleau Sandstone

Summary. The hydromechanical behaviour of Fontainebleau sandstone is studied on the basis of isotropic and triaxial compression tests in drained and undrained conditions on water saturated samples. The effect of the evolution of the compressibility of the rock with the applied stress on the poromechanical parameters is shown. On the basis of micro-mechanical considerations, a new expression for the Skempton coefficient B is proposed as a function of the porosity, the drained bulk compressibility and the grain and fluid compressibility. The relation between rock deformation and pore-pressure evolution in undrained deviatoric tests is analysed. An elasto-plastic constitutive model with stress-dependent elasticity and damage is proposed to describe the behaviour of the rock and validated through back analysis of drained and undrained tests.     

Testing and modeling of the state-dependent behaviors of rockfill material

Dense Tacheng rockfill material (TRM) exhibits strain softening and dilation during drained triaxial tests, and therefore, an adapted Rowe’s stress–dilatancy equation was proposed for TRM. This equation incorporates an internal state index related to the density and pressure, as well as the coefficient of particle breakage and rotation. The adapted Rowe’s stress–dilatancy equation indicates that the relationship between stress and dilatancy is not constant, but varies with density and pressure. This result is in agreement with TRM test data. A state-dependent model was established for TRM using generalized plasticity theory combined with the adapted Rowe’s stress–dilatancy equation. The model includes twelve constants calibrated using TRM test data from Group A, and this model was used to predict the strain softening and dilatancy behaviors of dense TRM. Furthermore, the model predictions were validated using test data from Group B. In summary, the model accurately represented the stress–strain and dilatancy behaviors of TRM over a wide range of densities and pressures.