Simulation of the Load-Unload Response Ratio and Critical Sensitivity in the Lattice Solid Model

The Load-Unload Response Ratio (LURR) method is an intermediate-term earthquake prediction approach that has shown considerable promise. It involves calculating the ratio of a specified energy release measure during loading and unloading where loading and unloading periods are determined from the earth tide induced perturbations in the Coulomb Failure Stress on optimally oriented faults. In the lead-up to large earthquakes, high LURR values are frequently observed a few months or years prior to the event. These signals may have a similar origin to the observed accelerating seismic moment release (AMR) prior to many large earthquakes or may be due to critical sensitivity of the crust when a large earthquake is imminent. As a first step towards studying the underlying physical mechanism for the LURR observations, numerical studies are conducted using the particle based lattice solid model (LSM) to determine whether LURR observations can be reproduced. The model is initialized as a heterogeneous 2-D block made up of random-sized particles bonded by elastic-brittle links. The system is subjected to uniaxial compression from rigid driving plates on the upper and lower edges of the model. Experiments are conducted using both strain and stress control to load the plates. A sinusoidal stress perturbation is added to the gradual compressional loading to simulate loading and unloading cycles and LURR is calculated. The results reproduce signals similar to those observed in earthquake prediction practice with a high LURR value followed by a sudden drop prior to macroscopic failure of the sample. The results suggest that LURR provides a good predictor for catastrophic failure in elastic-brittle systems and motivate further research to study the underlying physical mechanisms and statistical properties of high LURR values. The results provide encouragement for earthquake prediction research and the use of advanced simulation models to probe the physics of earthquakes.

Catastrophic Rupture Induced Damage Coalescence in Heterogeneous Brittle Media

In heterogeneous brittle media, the evolution of damage is strongly influenced by the multiscale coupling effect. To better understand this effect, we perform a detailed investigation of the damage evolution, with particular attention focused on the catastrophe transition. We use an adaptive multiscale finite-element model (MFEM) to simulate the damage evolution and the catastrophic failure of heterogeneous brittle media. Both plane stress and plane strain cases are investigated for a heterogeneous medium whose initial shear strength follows the Weibull distribution. Damage is induced through the application of the Coulomb failure criterion to each element, and the element mesh is refined where the failure criterion is met. We found that as damage accumulates, there is a stronger and stronger nonlinear increase in stress and the stress redistribution distance. The coupling of the dynamic stress redistribution and the heterogeneity at different scales result in an inverse cascade of damage cluster size, which represents rapid coalescence of damage at the catastrophe transition.

各向异性非线性强度条件下的边坡稳定性

解释了土体强度各向异性、非线性的物理本质,结合常规直剪试验、三轴试验结果,在前人工作基础上建立了边坡稳定性分析中强度各向异性、非线性的描述方法,其中特别提出了一个各向异性函数.基于Janbu普遍条分法(GPS),运用SPREADSHEET模板程序,提出了一个能将各向异性、非线性强度准则逐点等效到Mohr-Coulomb直线强度准则处理上的迭代方法,准确方便地获得了非线性强度下的边坡稳定性分析.最后的算例展示了方法的使用过程.

比较两种模型下饱和土的动态响应

比较Biot和Yamamoto两种模型下饱和土的动态响应，指出了这两种土模型的特点．首先从土骨架和孔隙水所满足的运动方程出发分析了两种土模型所反映能量损耗，然后计算了粗砂质和细砂质土层内弹性波随加载频率及土参数的衰减规律，总结了黏性摩擦和Coulomb摩擦在两种模型中具体体现，最后讨论了当加载为海浪时，两种模型对应的波浪衰减特点以及土床内孔隙水压力和应力相位角随孔隙度、渗透系数、黏性系数及剪切模量等土参数的变化．

Modified Generalized Beam Lattice Model Associated With Fracture Of Reinforced Fiber/Particle Composites

Lattice-type model can simulate in a straightforward manner heterogeneous brittle media. Mohr-Coulomb failure criterion has recently been involved into the generalized beam (GB) lattice model, and as a result, numerical experiments on concrete under various loading conditions can be conducted. The GB lattice model is further used to investigate the reinforced fiber/particle composites instead of only particle composites as the model did before. Numerical examples are given to show the effectiveness of the modeling procedure, and influences of inclusions (particle, fiber and rebar) on the fracture processes are also discussed. (c) 2008 Elsevier Ltd. All rights reserved.

On the interaction of water waves and seabed by the porous medium model

The interaction of water waves and seabed is studied by using Yamamoto's model, which takes into account the deformation of soil skeletal frame, compressibility of pore fluid flow as well as the Coulumb friction. When analyzing the propagation of three kinds of stress waves in seabed, a simplified dispersion relation and a specific damping formula are derived. The problem of seabed stability is further treated analytically based on the Mohr-Coulomb theory. The theory is finally applied to the coastal problems in the Lian-Yun Harbour and compared with observations and measurements in soil-wave tank with satisfactory results.

柴油、甲醇和水三组元乳化液滴微爆过程的研究

分别采用激光全息摄影技术和高速数字摄影技术观察了柴油、甲醇和水乳化液喷雾在高温高压(773K,3.1MPa)环境中发生微爆现象的瞬间和全过程,证实了微爆现象的存在.由于微爆机理的复杂性,尚难以用数学方法准确描述该过程.实验分析表明:若环境温度处于"最佳温度"范围内,乳化液滴表面首先形成"无水层",液滴内部形成一个水滴的概率很小,可能形成几个相对较大的水滴,只要其中一个较大水滴的蒸汽压力大于液滴的表面张力和环境压力之和,液滴就有可能发生微爆,微爆不仅与液滴直径、组分的质量分数和组分间的沸点差等乳化液的本身特性有关,而且环境温度和压力的影响也不容忽视.该研究可以为乳化液喷雾微爆过程的数学模拟提供参考.

岩石爆炸增渗模型实验及DEM数值模拟研究

岩体中爆炸提高矿石的渗透性可以极大地提高采矿效率，是碎裂岩型矿床预裂浸出法的关键技术。混凝土与岩体都具有脆性材料的特性，因此用浇筑于铁桶中的混凝土试件进行模型实验研究岩体的爆炸增渗效果。铁桶可以提高实验效率，使边界条件更为简单和易于操作，但是，实验和原型的差异需要论证。用自主开发的基于连续介质力学模型的离散元方法，模拟了有铁桶边界的模型实验，验证了数值模拟方法的可行性及有效性，给出了有弹性侧限边界约束的混凝土和较大尺度无反射边界条件的岩石中的爆炸差别。在此基础上，分析了岩石中爆炸造成的岩石破坏规律。计算结果表明：岩石破坏面总面积和破坏区的最大裂缝宽度受药量和岩石的抗拉强度影响，破坏面总面积和裂缝宽度随药量增加而增大，随抗拉强度增大而减小；在药量相同的条件下，实际岩石环境下的岩块破坏程度比铁桶约束的大。模型实验和数值模拟相结合的办法可以对混凝土和岩石的爆炸破坏给出较为合理的结果。

隧道开挖方式对建筑物桩基影响的数值模拟分析

运用岩石破裂与失稳过程分析RFPA~(2D)系统以及FLAC~(2D)程序对广州地铁二号线隧道通过电化教育学院录音楼引起建筑物桩基的变形与力学特性进行研究。RFPA~(2D)系统视材料为非均匀损伤材料,考虑修正后的Mohr-Coulomb准则(包含拉伸截断)作为单元破坏的强度判据,研究不同隧道开挖方式对建筑物桩基和地面移动的影响。分析表明,RFPA~(2D)系统是研究地表移动和破坏机理的适用工具。

Slope Stability Analysis Using Anisotropic and Nonlinear Failure Criteria

The shear strength of soils or rocks developed in a landslide usually exhibits anisotropic and nonlinear behavior. The process of sedimentation and subsequent consolidation can cause anisotropy of sedimentary soils or rocks, for instance. Nonlinearity of failure envelope could be attributed to "interlocking" or "dilatancy" of the material, which is generally dependent upon the stress level. An analytical method considering both anisotropy and nonlinearity of the failure envelops of soil and rocks is presented in the paper. The nonlinearfailure envelopes can be determined from routine triaxial tests. A spreadsheet program, which uses the Janbu's Generalized Procedure of Slice and incorporates anisotropic, illustrates the implementation of the approach and nonlinearfailure envelops. In the analysis, an equivalent Mohr-Coulomb linear failure criterion is obtained by drawing a tangent to the nonlinear envelope of an anisotropic soil at an appropriate stress level. An illustrative example is presented to show the feasibility and numerical efficiency of the method.

A New Model for Sediment Transport

The problem of predicting sediment transportation by water waves is treated analytically with the rate of wave energy dissipation or wave damping. With resorting to the theory of shallow water waves and the basis of Yamamoto’s Coulomb-damped poroelastic model, the Boussinesq-type equation has been derived over a variation depth bed. For convenience Cnoidal wave is just discussed, The Cnoidal wave with complex wave length and wave velocity, which are as a function of wave frequency, water depth, permeability, Poisson’s ratio and complex elastic moduli of bed soil, is applied to analyse the rate of sediment transportation. Considering the sediment transportation depended on the shear stress near-bed or the horizontal velocity, the conclusion of Yamamoto’s experiment in clay bed has been extended to general situation. It could be figured out that the model should provide a method to avoid the undistinguishable factors during sediment transport processes and relate mass transport with the sediment peculiarities.

Catastrophic Rupture Induced Damage Coalescence in Heterogeneous Brittle Media

In heterogeneous brittle media, the evolution of damage is strongly influenced by the multiscale coupling effect. To better understand this effect, we perform a detailed investigation of the damage evolution, with particular attention focused on the catastrophe transition. We use an adaptive multiscale finite-element model (MFEM) to simulate the damage evolution and the catastrophic failure of heterogeneous brittle media. Both plane stress and plane strain cases are investigated for a heterogeneous medium whose initial shear strength follows the Weibull distribution. Damage is induced through the application of the Coulomb failure criterion to each element, and the element mesh is refined where the failure criterion is met. We found that as damage accumulates, there is a stronger and stronger nonlinear increase in stress and the stress redistribution distance. The coupling of the dynamic stress redistribution and the heterogeneity at different scales result in an inverse cascade of damage cluster size, which represents rapid coalescence of damage at the catastrophe transition.