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Fractal Pattern of Particle Crushing of Granular Geomaterials during One-Dimensional Compression

机译:一维压缩过程中颗粒状土料颗粒破碎的分形规律

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This paper focuses on the effect of particle crushing on the behavior of granular geomaterials. Series of high-pressure one-dimensional compression tests were carried out on a quartz sand-gravel. A detail investigation was performed primarily on the compression behavior, the evolution of particle-size distribution (PSD), the fractal pattern of the grading curve, and the amount of particle crushing. It was found that both the yielding state and the state at the maximum compressibility are closely associated with the evolution of PSD and the fractal pattern of particle crushing. As the vertical stress increases, the fractal characteristic of the grading curve appears only within the finer part at first, evolves into bifractal within the overall measurable grading curve late, and translates into monofractal finally. Furthermore, a pair of particle crushing indexes Be1 and Be2 considering different particle size scales were proposed. The reasonability of using Be1 and Be2 to describe the amount of crushing corresponding to the scale of particles was discussed. Finally, it was found that the value of the ratio between the volumetric strain and the crushing index Be1 is constant and independent of the initial particle size and the initial PSD when the vertical stress is larger than the stress at the maximum compressibility or the coarser part of the grading curve is evolved into fractal.
机译:本文重点研究颗粒破碎对粒状土工材料行为的影响。在石英砂砾石上进行了一系列的高压一维压缩试验。主要对压缩行为,粒度分布(PSD)的演变,分级曲线的分形图案和颗粒破碎量进行了详细研究。发现屈服状态和最大可压缩状态都与PSD的演化和颗粒破碎的分形模式密切相关。随着垂直应力的增加,渐变曲线的分形特征最初仅出现在较细的部分内,后来在总体可测量渐变曲线内演变为双分形,最后转变为单分形。此外,提出了考虑不同粒径尺度的一对颗粒破碎指数Be1和Be2。讨论了使用Be1和Be2描述与颗粒大小相对应的粉碎量的合理性。最后,发现当垂直应力大于最大压缩率或较粗糙部分的应力时,体积应变与破碎指数Be1之比的值是恒定的,并且与初始粒径和初始PSD无关。渐变曲线的演变为分形。

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