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arXiv 1011.2302cond-mat.soft
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粒状材料在准静态条件下如何变形

How granular materials deform in quasistatic conditions

Jean-Noël Roux, Gaël Combe

摘要:

基于模型粒状材料的准静态变形的数值模拟,两个流变制度的区别,根据宏观应变是否仅仅反映微观材料应变内的晶粒在其接触区域(I型应变),或导致在微观水平上的不稳定性和接触网络重排(II型应变)。我们讨论的发生制度I和II的模拟模型材料制成的磁盘(2D)或球体(3D)。在单调试验(如三轴压缩)中,从状态I到状态II的过渡既不同于弹性限度,也不同于屈服阈值。这两种类型的响应之间的区别被证明是至关重要的敏感性接触级力学,相关的变量和尺度要考虑在微观力学方法,能量平衡和可能发生的宏观不稳定性

英文摘要:

Based on numerical simulations of quasistatic deformation of model granular materials, two rheological regimes are distinguished, according to whether macroscopic strains merely reflect microscopic material strains within the grains in their contact regions (type I strains), or result from instabilities and contact network rearrangements at the microscopic level (type II strains). We discuss the occurrence of regimes I and II in simulations of model materials made of disks (2D) or spheres (3D). The transition from regime I to regime II in monotonic tests such as triaxial compression is different from both the elastic limit and from the yield threshold. The distinction between both types of response is shown to be crucial for the sensitivity to contact-level mechanics, the relevant variables and scales to be considered in micromechanical approaches, the energy balance and the possible occurrence of macroscopic instabilities

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