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首页> 外文期刊>International Journal of Mechanical Sciences >Statistical model predicts softening and fluidization induced by vibration in granular materials
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Statistical model predicts softening and fluidization induced by vibration in granular materials

机译：统计模型预测粒状材料振动诱导的软化和流化

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摘要

Softening effect and fluidization have been explored and identified as general phenomena of granular materials in the presence of vibrations. In the framework of statistical mechanics, we propose a statistical model to predict the softening effect, finding that the softening effect can be simply described by two parameters, the average potential energy of grain-contacts and the correction factor accounting for the grain-contact orientation. The average potential energy is strongly dependent on the effective pressure applied on the granular system, and a power-law scaling with effective pressure is observed experimentally as well as theoretically based on the Hertz contact theory. Laboratory observations both on the compressive modulus and the shear modulus of the tested granular materials show consistence with our theoretical predictions, which provide a direct verification on our proposed model. A fluidization model is further implemented based on the proposed statistical model, which is also supported by the experimental observations. A quantitative analysis regarding the vibration amplitude as well as the vibration frequency further verifies the model of effective viscosity of the granular system in the presence of vibrations.
机译：已经探讨了软化效果和流化，并鉴定为振动存在下颗粒材料的一般现象。在统计力学框架中，我们提出了一种统计模型来预测软化效果，发现可以通过两个参数简单地描述软化效果，晶粒触点的平均势能以及晶粒接触方向的校正因子算法。平均电位能量强烈依赖于施加粒度系统上施加的有效压力，并且基于赫兹接触理论，从实验和理论上观察到具有有效压力的动力法缩放。在测试粒状材料的压缩模量和剪切模量上的实验室观察显示了我们的理论预测，这提供了对我们所提出的模型的直接验证。进一步基于所提出的统计模型进一步实施流化模型，该模型也被实验观察结果支持。关于振动幅度的定量分析以及振动频率进一步验证了振动存在下颗粒系统的有效粘度的模型。

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