Degradation of rock fracture asperities in unloading,reloading, and reversal

Among the constitutive models for rock fractures developed over the years, Barton's empirical model has been widely used. Although Barton's failure criterion predicts peak shear strength of rock fractures with acceptable precision, it has some limitations in estimating the peak shear displacement, post‐peak shear strength, dilation, and surface degradation. The first author modified Barton's original model in order to address these limitations. Barton proposed his model for degradation of fracture asperities in unloading, reloading, and shear displacement reversal based on just one cyclic direct shear test. In this study, a database of results of 18 cyclic direct shear tests available in the literature was collected and analyzed. Modifications were made to Barton's original model (in terms of fracture cyclic shearing) to make it consistent with the modified model proposed by the first author. Copyright © 2010 John Wiley & Sons, Ltd.     

Selection of sand models and identification of parameters using an enhanced genetic algorithm

Numerous constitutive models of granular soils have been developed during the last few decades. As a consequence, how to select an appropriate model with the necessary features based on conventional tests and with an easy way of identifying parameters for geotechnical applications has become a major issue. This paper aims to discuss the selection of sand models and parameters identification by using genetic algorithm. A real‐coded genetic algorithm is enhanced for the optimization with high efficiency. Models with gradually varying features (elastic‐perfectly plastic modelling, nonlinear stress–strain hardening, critical state concept and two‐surface concept) are selected from numerous sand models as examples for optimization. Conventional triaxial tests on Hostun sand are selected as the objectives in the optimization. Four key points are then discussed in turn: (i) which features are necessary to be accounted for in constitutive modelling of sand; (ii) which type of tests (drained and/or undrained) should be selected for an optimal identification of parameters; (iii) what is the minimum number of tests that should be selected for parameter identification; and (iv) what is the suitable and least strain level of objective tests to obtain reliable and reasonable parameters. Finally, a useful guide, based on all comparisons, is provided at the end of the discussion. Copyright © 2015 John Wiley & Sons, Ltd.     

Explicit integration of a porosity‐dependent hydro‐mechanical model for unsaturated soils

An adaptive substepping explicit integration scheme is developed for a porosity‐dependent hydro‐mechanical model for unsaturated soils. The model is referred to as the modified σ –Θ model in this paper, which features the employment of the subloading surface plasticity and the stress–saturation approach. On numerical aspects, convex/nonconvex subloading surfaces in the σ –Θ space may result in incorrect loading–unloading decisions during the integration. A new loading–unloading decision method is developed here to solve the problem and then embedded into the explicit integration scheme for the modified σ –Θ model. In addition, to enhance the accuracy of the explicit integration, local errors from both hydraulic and mechanical components are included in the error control for each substep. A drift correction method is also developed to ensure the state point lies on the subloading surface in the σ –Θ space within a set error level. The performance of the loading–unloading decision method for the modified σ –Θ model is discussed through comparing it with the conventional loading–unloading decision method. The importance of involving the hydraulic component in the error control is also demonstrated. The accuracy and efficiency of the proposed adaptive substepping explicit integration scheme for the modified p–Θ model are also studied via several numerical examples. Copyright © 2016 John Wiley & Sons, Ltd.     

Description of deformation process in inherently anisotropic granular materials

The main focus in this work is on modeling of mechanical response of granular materials that display inherent anisotropy. Both the experimental and numerical investigations are described. First, the results of direct shear as well as drained/undrained triaxial tests that involve crushed limestone with elongated angular‐shaped particles are reviewed. Afterward, a mathematical framework is presented for modeling of elastic/ inelastic deformation that incorporates the multi‐laminate approach. The deformation is monitored on a set of randomly oriented planes, and the formulation incorporates the thickness of the shear band that is associated with sliding/separation process. A systematic procedure for identification of material functions/ parameters is outlined that is based on the results of direct shear tests, and the framework is later applied to simulate the behavior under triaxial conditions. The results of numerical simulations are compared with the experimental data. Copyright © 2011 John Wiley & Sons, Ltd.     

基于梯度分析法的长江上游水库群供水-发电-环境互馈关系解析

长江上游水资源耦合系统优化调控涉及供水、发电和生态需水等相互竞争、不可公度的调控目标。其供水-发电-环境互馈协变机制难以数学解析和刻画，多维目标效益均衡优化调控难以实施。为此，以多目标优化、运筹学理论及方法为基础，提出了基于梯度分析法的供水-发电-环境两两互馈关系研究方法。通过多目标约束优化方法求解长江上游水库群联合优化调度在供水-发电-环境目标空间的最优解集，并进行插值构造了供水-发电-环境互馈关系多维空间曲面，以此为基础，采用一阶差分近似求解供水对环境和发电对环境偏导函数值，以量化环境对供水变化和发电变化响应的梯度，进而解析环境-供水和环境-发电间互馈协变关系。该方法为水库群优化调度多目标互馈关系研究提供了一种新的思路。     

岩土材料弹塑性动本构模型研究概况

本文介绍了砂土本构模型研究的历史及现状,特别是对国内较少涉及的动弹塑性本构模型研究情况作了详细的介绍,并就作者的理解体会作了一些评价。     

The frictional behavior of lizardite and antigorite serpentinites: Experiments,constitutive models,and implications for natural faults

Laboratory studies of the frictional behavior of rocks can provide important information about the strength and sliding stability of natural faults. We have conducted friction experiments on antigorite and lizardite serpentinites, rocks common to both continental and oceanic crustal faults. We conducted both velocity-step tests and timed-hold tests on bare surfaces and gouge layers of serpentinite at room temperature. We find that the coefficient of friction of lizardite serpentinite is quite low (0.15–0.35) and could explain the apparent low stresses observed on crustal transform faults, while that of antigorite serpentinite is comparable to other crustal rocks (0.50–0.85). The frictional behavior of both types of serpentinite is well described by a two-mechanism model combining state-variable-dominated behavior at high slip velocities and flow-dominated behavior at low velocities. The two-mechanism model is supported by data from velocity-step tests and timed-hold tests. The low velocity behavior of serpentinite is strongly rate strengthening and should result in stable fault creep on natural faults containing either antigorite or lizardite serpentinite.     

金川超镁铁质岩体矿物化学特征及矿物地质温度计、压力计研究

根据金川超镁铁质岩体主要造岩矿物和副矿物的共生组合关系及各种矿物的化学成分特点；选用５种较成熟、使用较方便的矿物地质温度计、压力计（主要是辉石温压计和角闪石压力计），对岩体形成的温、压条件进行了估算，其结果为：成岩温度为１０００～１３００℃（上限可到１４００～１５００℃），成岩压力约为５×１０￣８～１１×１０￣８ｐａ。金川超镁铁质岩体的主要岩石类型为尖晶石二辉橄榄岩，这一岩石类型在复杂体系相关系图中的稳定区域大致处于５×ｌ０￣８～１５×１０￣８ｐａ的范围，这与矿物温压计估算的成岩温压条件是一致的。     

Cumulative frequency b value without upper bound magnitude and its regression determination

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