一种基于广义塑性力学的硬化剪胀土模型

分析弹塑性模型的特点之后,提出了一种以塑性功w^p和塑性剪应为εs^p作为硬化参量的双屈服面模型,它可以较好地反映硬化剪胀土的变形。模型符合广义塑性力学,可能方便地用于有限元计算。     

粗粒土剪胀性大型三轴试验研究

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。     

基于状态参数的粗粒土应变软化和剪胀性模型研究

基于状态参数的概念,将粗粒土峰值应力比和剪胀比视为状态参数的函数,同时考虑初始模量随围压的变化,提出了一个弹塑性模型和模型参数的确定方法。该模型形式较简单,概念清晰,可以描述较大的密度和压力范围内粗粒土的应变软化和剪胀性,以及它们对物理状态和有效围压的依赖性。通过比较模型预测与粗粒土的三轴试验结果,证明了模型的合理性。     

基于大三轴试验的粗粒土剪胀性研究

采用大三轴剪切仪对3种不同相对密度的双江口心墙坝覆盖层料进行固结排水剪切试验,重点研究粗粒土的剪胀特性,分析粗粒土的剪胀性与围压、相对密度之间的关系,并检验修正剑桥模型的剪胀方程、Rowe剪胀方程对粗粒土的适用性。结果表明,粗粒土在低围压下表现出明显的剪胀趋势,随着围压的增加,逐渐由剪胀向剪缩过渡;随着密度的增大,粗粒土的剪胀性明显增强;相变应力比是粗粒土剪胀强弱的一个重要影响因素,其随密度的增加而增加,随围压的增大则呈线性减小趋势;粗粒土的剪胀性与相对密度、围压关系密切,根据试验数据得出最大剪胀率 与相对密度 、围压 之间的关系式;修正剑桥模型的剪胀方程不能反映粗粒土的剪胀性;Rowe剪胀方程在一定程度上能反映粗粒土的剪胀性,但高围压下在压缩阶段低估了其压缩性,而在剪胀阶段则高估了其剪胀性。     

粗粒土与结构接触面的可逆性与不可逆性剪胀规律

进行了粗粒土与结构接触面的单调和往返剪切试验,研究了接触面的剪胀特性。试验结果表明,接触面的剪胀体应变是由一个完全可逆性的体应变分量和一个不可逆性的体应变分量构成的。不可逆性剪胀体应变反映了接触面内的土颗粒破碎和剪切压密两种物态变化,其变化规律与接触面的应力相对位移关系的演化规律具有相似性,是接触面力学特性演化的一个重要量度。可逆性剪胀体应变存在相变点,并表现出明显的剪切异向性,该异向性的主要内因是由于剪切引起的结构面附近土的结构异向性。基于接触面受力变形机理分析,引入有效剪应变等概念,建立了剪胀方程。     

结构性土固结不排水剪特性的一种描述方法

针对结构性土的固结不排水剪性状,提出一种基于扰动状态概念的描述方法。通过三轴固结不排水剪试验,分析了结构性土固结不排水剪切过程中的剪应力、孔隙水压力与轴向应变的关系特点。根据扰动状态概念的原理,采用邓肯-张的非线性弹性模型描述相对完整状态的应力-应变关系,用孔隙水压力作为参量定义了一个新的扰动函数,构建了一种描述结构性土固结不排水剪性状的本构关系。经验证,模型计算结果与试验数据吻合较好,可统一描述应变软化型和应变硬化型应力-应变关系。     

剪胀性砂土本构模型的研究

对于中密砂和密砂,剪胀现象是一个比较显著的特征,相变线是描述剪胀现象的一条特征线,它比较容易确定。因此,以相变线作为状态参考线,提出并定义了一种状态参量,在已有弹塑性模型基础上,将状态参量引入剪胀方程和塑性硬化模量表达式中,建立了一个新的考虑砂土剪胀性的本构模型。该模型尤其适合于中密砂和密砂,对于松砂则退化为原弹塑性模型。模型形式较简单,包含9个材料参数,且比较容易确定。数值模拟结果与试验数据吻合较好。     

剪胀角对地基承载力的影响

采用有限元强度“折减”的基本原理,给出了地基承载力确定的数值模拟方法,并讨论了剪胀性材料的地基承载力与材料剪胀角的变化关系。算例表明,地基承载力随剪胀角的增大而增大。因此,求解地基承载力时,需要考虑剪胀角的影响。     

邓肯-张模型和沈珠江双屈服面模型的改进

邓肯-张非线性弹性模型和沈珠江双屈服面弹塑性模型已经被广泛地应用于高土石坝等土工建筑物应力位移分析中，但是邓肯-张模型存在不能反映土剪胀性的缺陷，沈珠江模型在高围压或较大剪应变条件下也存在模拟土剪胀性偏大的不足。笔者提出了一个能够统一模拟低围压到高围压条件下土剪胀特性的数学表达式，对上述两个模型进行了改进。采用粗粒土的大型三轴试验结果的初步验证分析表明，改进模型能较好地拟合粗粒土在低围压条件下剪胀以及高围压条件下剪缩的应-应变特性。     

钱塘江冲海积粉土剪胀性三轴试验研究

钱塘江两岸广泛分布着冲海积粉土.通过大量的三轴固结不排水CU和固结排水CD试验,探讨饱和粉土的应力应变性状和剪胀特性。试验表明,钱塘江冲海积粉土显著的特性之一是在剪切中膨胀,剪胀主要与粉土的密度和围压有关。CU试验中密(e=0.739～0.866)的原状样在围压600kPa范围内剪切膨胀,稍密(e=0.890～0.906)的击实样在围压低于400kPa剪切膨胀。由于粉土膨胀的本质不排水强度在剪切中保持增加,对于这种情况就没有惟一的"不排水强度";CD试验稍密(e=0.889～0.945)的击实样在围压低于400kPa时剪切膨胀。钱塘江冲海积粉土的剪切破坏要经历一个大的变形过程,固结排水剪切过程的应力应变性状可分为4个阶段。取应变继续而没有进一步体积变化的临界状态做破坏标准,确定粉土排水剪切强度指标较合理。     

Fabric dilatancy and the plasticity modeling of granular media

A novel conceptual model of the mechanics of sands is developed within an elastic–plastic framework. Central to this model is the realization that volume changes in anisotropic granular materials occur as a result of two fundamentally different mechanisms. The first is purely kinematic, dilative, and is the result of the changes in anisotropic fabric. There is also a second volume change in granular media that occurs as a direct response to changes in stress as in a standard elastic/plastic continuum. The inclusion of the two sources of volume change results in three important datum states. When subjected to isotropic strains, the resulting stress state in granular materials is not isotropic but lies upon the kinematic normal consolidation line. There exists a state at which the fabric‐induced volumetric strain rate becomes equal to the stress‐induced volumetric strain rate making the total plastic volumetric strain rate equal to zero. Granular response changes from contractive to dilative at this phase transformation line. The third datum state is the one in which the stress‐induced volumetric strain rate is zero. The sand, however, continues to dilate at this state with the difference between stress and dilation ratio a constant as predicted by Taylor's stress–dilatancy rule. These predictions are shown in accordance with experimental data from a series of drained tests and undrained on Ottawa sand. Copyright © 2011 John Wiley & Sons, Ltd.     

从各向异性的角度解释和模拟土的非共轴特性

从发挥面的角度出发,分析论证各向异性是引起岩土材料出现非共轴现象的根本原因,得到与材料力学一致的结论。当共轭的两发挥面与沉积面的夹角不相等时,主应力面上将出现塑性应变增量的切向分量,所以塑性应变增量的主方向与应力的主方向非共轴。按照这一结论,对非共轴的数值模拟,也应当根据各向异性本构模型进行。为考虑各向异性影响新近提出的各向异性变换应力法,改变了各应力分量的相对大小,得到的各向异性变换应力张量与真实应力张量的主方向不一致,因此也能反映非共轴。利用各向异性变换应力法,能够在现有的弹塑性本构模型的框架下,描述土的非共轴现象。以各向异性UH模型为例,预测各种加载条件下的非共轴变形,验证了该方法的有效性。     

Anisotropic UH model for soils based on a simple transformed stress method

A simple method called anisotropic transformed stress (ATS) method is proposed to develop failure criteria and constitutive models for anisotropic soils. In this method, stress components in different directions are modified differently in order to reflect the effect of anisotropy. It includes two steps of mapping of stress. First, a modified stress tensor is introduced, which is a symmetric multiplication of stress tensor and fabric tensor. In the modified stress space, anisotropic soils can be treated to be isotropic. Second, a TS tensor is derived from the modified stress tensor for the convenience of developing anisotropic constitutive models to account for the effect of intermediate principal stress. By replacing the ordinary stress tensor with the TS tensor directly, the unified hardening model is extended to model the anisotropic deformation of soils. Anisotropic Lade's criterion is adopted for shear yield and shear failure in the model. The form of the original model formulations remains unchanged, and the model parameters are independent of the loading direction. Good agreement between the experimental results and predictions of the anisotropic unified hardening model is observed. Copyright © 2016 John Wiley & Sons, Ltd.     

A plasticity constitutive model for unsaturated,anisotropic, nonexpansive soils

The paper describes and evaluates an incremental plasticity constitutive model for unsaturated, anisotropic, nonexpansive soils (CMUA). It is based on the modified Cam-Clay (MCC) model for saturated soils and enhances it by introducing anisotropy (via rotation of the MCC yield surface) and an unsaturated compressibility framework describing a double dependence of compressibility on suction and on the degree of saturation of macroporosity. As the anisotropic and unsaturated features can be activated independently, the model is downwards compatible with the MCC model. The CMUA model can simulate effectively: the dependence of compressibility on the level of developed anisotropy, uniqueness of critical state independent of the initial anisotropy, an evolving compressibility during constant suction compression, and a maximum of collapse. The model uses Bishop's average skeleton stress as its first constitutive variable, favouring its numerical implementation in commercial numerical analysis codes (eg, finite element codes) and a unified treatment of saturated and unsaturated material states.     

Stress–dilatancy behavior for sand under loading and unloading conditions

Experimental results have shown very different stress–dilatancy behavior for sand under loading and unloading conditions. Experimental results have also shown significant effects of inherent anisotropy. In this article, a micromechanics‐based method is presented, by which the stress–dilatancy relation is obtained through the consideration of slips at the interparticle contacts in all orientations. The method also accounts for the effect of inherent anisotropy in sand. Experimental results on Toyoura sand and Hostun sand are used for illustration of the proposed method. Copyright © 2011 John Wiley & Sons, Ltd.     

粗粒土的颗粒破碎耗能及剪胀方程研究

颗粒破碎对于粗粒土的应力变形性质有显著影响。在Rowe剪胀方程的基础上考虑颗粒破碎耗能的影响,并引入颗粒破碎的演化规律对颗粒破碎耗能进行计算,得到了一个简单实用且对粗粒土适用性较好的剪胀方程。主要结论如下：（1）通过粗粒土的三轴CD试验结果分析并证明了弹性应变对于剪胀比的影响较小,因此,可以将剪胀比 表示为 ,进而得到了剪胀方程表达式的一般形式。（2）将剪胀方程中的临界状态应力比Mc折减为摩擦系数M,并引入了颗粒破碎的演化规律,将M定量表示为广义剪应变的函数,从而使得所计算的破碎耗能在剪切过程中是递增的,且逐渐趋于稳定值,符合了颗粒破碎不可逆的规律。（3）试验表明,剪胀方程中的未知量 与摩擦系数M之间呈现显著的线性关系,将该关系代入剪胀方程即确定了方程的具体表达形式,并且利用堆石料的三轴CD试验证明了其对粗粒土的剪胀性预测效果较好。