考虑颗粒破碎的粗粒土剪胀性统一本构模型

粗粒土作为无黏性散粒状材料具有状态依赖特性,土体的剪切特性受密度和应力水平影响。易破碎是粗粒土的另一个特点,颗粒破碎影响粗粒土的剪胀、内摩擦角、峰值强度和渗透系数。为了能够准确地描述粗粒土的应力-应变关系,采用初始状态参量描述粗粒土的内部状态,根据三轴试验数据建立考虑颗粒破碎耗能的应力-应变关系,采用相关联流动法则推导考虑颗粒破碎的粗粒土剪胀性“统一本构模型”,并建立初始状态参量与模型参数之间的关系。所建立的统一本构模型既考虑了颗粒破碎对剪胀、内摩擦角的影响,又考虑了剪切特性对土体初始状态的依赖。采用变异粒子群算法拟合试验曲线,确定模型参数。模型计算结果能够很好地拟合试验曲线。采用同一组参数对假定的初始状态进行模拟计算,计算结果表明,模型能够模拟不同初始密度和应力水平下粗粒土变形的一般规律。     

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。     

粗粒料颗粒破碎数值模拟研究

粗粒料在外力作用下存在明显的颗粒破碎特性,研究颗粒破碎过程是当前研究的热点问题之一。基于粗粒料单颗粒破碎机制,考虑单颗粒破碎强度与直径的变化规律,采用非线性接触H-Z模型和密度控制法建立了粗粒料颗粒破碎数值模型。开展粗粒料双轴剪切试验数值模拟研究,并与室内试验结果进行对比分析。研究表明：建立的粗粒料颗粒破碎数值模型能够较好地模拟粗粒料偏应力与轴向应变和体积应变与轴向应变的关系;数值模拟获得的粗粒料颗粒破碎率与室内试验结果基本一致;去除试样制备过程和固结过程引起的颗粒破碎,不同围压条件下的颗粒破碎率归一化后基本重合,且可以近似地采用双曲线函数进行拟合。颗粒破碎率随着围压的增大,逐渐增大,试验级配趋于Einav提出的颗粒破碎的最终级配（分维数等于2.6）     

堆石粗粒料颗粒破碎试验研究

利用室内大型三轴试验,对堆石等粗粒料的颗粒破碎进行了分析。结果表明,颗粒破碎率随围压的增加而增加,呈非线性状态,二者之间的关系可以用双曲线表示。颗粒破碎的增加将导致粗粒料的抗剪强度降低,峰值内摩擦角与颗粒破碎率之间呈幂函数关系,不论颗粒的岩性、强度、大小、形状、级配和初始孔隙比等情况如何,试验资料都落在一个狭窄的区域,如果围压和材料的试验参数已知,则可估计颗粒破碎率。     

考虑颗粒破碎引起级配演变的粗粒料屈服函数研究

级配作为粗粒料的重要物理特性,显著影响着粗粒料本身的力学性质。准确预测土体在加载过程中的级配演变,是有效分析土体结构全寿命周期强度和变形特性的基础。引入Einav的分形破碎理论,认为土体在加载过程中的颗粒破碎耗能增量正比于颗粒分形破碎率增量,结合考虑颗粒破碎的能量平衡方程,选取已有文献中的试验数据,对粗粒料加载过程中的级配演变进行了研究,提出了一种预测试样加载过程中级配演变的方法。在此基础上,建立了一个可以反映粗粒料级配演变的屈服函数,对该屈服面函数进行了初步探讨。每一个屈服面对应土体的一个级配演化曲线;屈服面是土体剪切应变的等值面,屈服面的轨迹和剪应变大小密切相关。     

考虑颗粒破碎影响的粗粒土本构模型

颗粒破碎直接改变了粗粒土本身结构,对粗粒土的剪胀、内摩擦角、峰值强度、渗透系数都会产生影响。为了能够准确地描述粗粒土的应力-应变关系,特别是高应力条件下出现显著颗粒破碎时的应力-应变关系,亟待建立考虑颗粒破碎的粗粒土本构模型。根据三轴试验数据,建立考虑颗粒破碎耗能的应力-应变关系,采用相关联流动法则导出考虑颗粒破碎的粗粒土本构模型。所建立的本构模型考虑了颗粒破碎对粗粒土剪胀、内摩擦角的影响。通过变异粒子群优化算法确定模型参数,拟合试验曲线。模型计算结果与试验曲线拟合较好,能够很好地描述粗粒土在不同围压下的体积剪胀、剪缩和应力硬化、软化现象。     

基于大型直剪试验的强风化粗粒料剪胀特性试验研究

剪胀性是岩土材料的重要特性之一,为研究不同工况条件下粗粒料室内大型直剪试验中的剪胀特性,采用新型室内大型直剪仪对3组不同含水率、4组不同剪切速率、5组不同含砾率等3种不同影响因素的试样进行了室内大型直剪试验,分析了剪切时试样的垂直位移与水平剪切位移及垂直应力的关系。试验结果表明：在保持其他影响因素相同条件下,垂直应力的增加导致相同水平剪切位移对应的剪缩量增加;试样的最大剪缩量随着含水率的增加有一定程度的增大,而随着剪切速率的增加而减小;含砾率低于30%试样的最大剪缩量较含砾超过于30%试样的剪缩量大很多,最大剪缩量差别为3倍。当试样含砾率小于50%时,由于试样中富含细颗粒的影响,使得应力-应变曲线具有应变软化属性以及剪胀性趋于一固定值。峰值强度前的应力比-位移增量关系采用非线性的二次项拟合比线性关系的拟合度更好,认为Matsuoka提出的二维剪胀公式不适用于粗粒料,将其修正成二次多项式并给出试验中的经验参数μ的取值区间。     

颗粒材料的剪胀模型

本文研究了颗粒材料的剪切变形机制,建立了颗粒体在变形过程中应力与组构量的相互关系,论证了产生剪胀的微观组构条件,推导出各向异性组构颗粒体剪胀方程。做了相应的单剪试验,理论结果与试验结果相当吻合,从而验证了理论模型的正确性。     

颗粒破碎及剪胀对钙质砂抗剪强度影响研究

钙质砂是海洋沉积物中的一种,富含碳酸钙或其他难溶碳酸盐类物质的特殊介质。由于其颗粒质脆,受力后易产生破碎,表现出与常规陆源砂不同的力学性质。通过对取自南沙群岛永暑礁附近海域的钙质砂进行三轴剪切试验,分析了钙质砂颗粒破碎与剪胀对其抗剪强度的影响。试验结果表明,颗粒破碎与剪胀对钙质砂强度有着重要影响,低围压下剪胀对其强度的影响远大于颗粒破碎,随着围压的增加,钙质砂颗粒破碎加剧,剪胀影响越来越小,而颗粒破碎的影响则越来越显著;颗粒破碎对强度的影响随着围压的增大而增大,当破碎达到一定程度后颗粒破碎渐趋减弱,其影响也渐趋于稳定。     

考虑颗粒破碎影响的粗粒土本构关系

粗粒土在较大的应力条件下容易产生颗粒破碎现象,而现有的大多数模型都没有考虑剪切过程中的颗粒破碎。模型将塑性功引入土体受力变形过程的能量方程中,推导得到土体流动法则。采用直线型屈服轨迹和非相关联流动法则,利用不排水应力路径计算得到硬化函数,建立了一个考虑颗粒破碎的粗粒土本构模型。对比分析表明：该模型对粗粒土在各种围压下的应力-应变和体应变计算结果与试验曲线吻合较好。     

粗粒土的破碎耗能计算及影响因素

粗粒土的颗粒破碎直接改变了土体本身结构,对粗粒土的剪胀和内摩擦角都会产生影响。在土体剪切过程中,体积应力和剪切应力在体积应变和剪切应变上做功,这部分能量在剪切过程中转化为颗粒的弹性储能、颗粒间的摩擦耗能、颗粒剪胀时对外做功和颗粒破碎耗能4部分。准确计算剪切过程中粗粒土破碎耗能的目的是：从能量角度分析颗粒破碎对土体本构关系的影响,为建立考虑颗粒破碎的粗粒土本构关系创造条件。通过分析粗粒土的常规三轴试验数据,计算得到了剪切过程中的粗粒土破碎耗能。计算结果表明,常规三轴试验条件下粗粒土破碎耗能主要受固结应力、土体摩擦系数M等因素的影响。     

An elastoplastic constitutive model for frozen saline coarse sandy soil undergoing particle breakage

The mechanical property of frozen saline sandy soil is complicated due to its complex components and sensitivity to salt content and confining pressure. Thus, a series of triaxial compression tests were carried out on sandy samples with different Na₂SO₄ contents under different confining pressures to explore the effects of particle breakage, pressure melting, shear dilation and strain softening or hardening. The test results indicate that the stress–strain curves exhibit strain softening/hardening phenomena when the confining pressures are below or above 6 MPa, respectively. A shear dilation phenomenon was observed in the loading process. With increasing confining pressure, the strength firstly increases and then decreases. By taking into consideration the changes between the grain size distributions before and after triaxial compression tests, a failure strength line incorporating the influences of both particle breakage and pressure melting is proposed. In order to describe the deformation characteristics of frozen saline sandy soil, an elastoplastic incremental constitutive model is established based on the test results. The proposed model considers the plastic compressive, plastic shear and breakage mechanisms by adopting the non-associated flow rule. The breakage mechanism can be reflected by an index related to the initial, current and ultimate grain size distributions. The hardening parameters corresponding to compressive and shear mechanisms consider the influence of particle breakage. Then the effect of particle breakage on both the stress–strain and volumetric strain curves is analyzed. The calculated results fit well with the test results, indicating that the developed constitutive model can well describe the mechanical and deformation features of frozen saline sandy soil under various stress levels and stress paths. In addition, the strain softening/hardening, contraction, high dilation and particle breakage can be well captured.

     

Effect of particle size distribution on the bio-cementation of coarse aggregates

The effect of grain size distribution on the unconfined compressive strength (UCS) of bio-cemented granular columns is examined. Fine and coarse aggregates were mixed in various percentages to obtain five different grain size distributions. A four-phase percolation strategy was adopted where a bacterial suspension and a cementation solution (urea and calcium chloride) were percolated sequentially. The results show that a gap-graded particle size distribution can improve the UCS of bio-cemented coarser granular materials. A maximum UCS of approximately 575 kPa was achieved with a particle size distribution containing 75% coarse aggregate and 25% fine aggregate. Furthermore, the minimum UCS obtained has applications where mitigation of excessive bulging of stone/sand columns, and possible slumping that might occur during their installation, is needed. The finding also implies that the amount of biochemical treatments can be reduced by adding fine aggregate to coarse aggregate resulting in effective bio-cementation within the pore matrix of the coarse aggregate column as it could substantially reduce the cost associated with bio-cementation process. Scanning electron microscopy results confirm that adding fine aggregate to coarse aggregate provides more bridging contacts (connected by calcium carbonate precipitation) between coarse aggregate particles, and hence, the maximum UCS achieved was not necessarily associated with the maximum calcium carbonate precipitation.     

Validation of a model for impact breakage incorporating particle size effect

Investigation of a breakage probability model published by Vogel and Peukert [Vogel, L. and Peukert, W., 2004. Determination of material properties relevant to grinding by practicable labscale milling tests. Int. J. Miner. Process., 74S, 329–338.] has led to a modification of their model to describe the degree of impact breakage, t₁₀. The modified model takes a form similar to the JKMRC prior art breakage model, but with particle size and breakage properties incorporated explicitly in the model.