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arXiv 1107.2069cond-mat.softcond-mat.stat-mech
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多分散性对颗粒材料细观力学的影响

Influence of polydispersity on micromechanics of granular materials

M. Reza Shaebani, Mahyar Madadi, Stefan Luding, Dietrich E. Wolf

摘要:

我们研究了多分散性对二维和三维颗粒填料宏观物理性质的影响。一个平均场的方法来近似作为微观的功能的宏观尺度量。我们表明,织物和应力张量的痕迹是成比例的平均包装性能(例如包装分数,平均配位数,平均法向力)和无量纲的校正因子,这只取决于颗粒尺寸分布的时刻。在线性仿射响应区域中,各向同性填料的刚度张量的元素也得到了类似的结果。我们的理论预测与模拟结果吻合得很好。

英文摘要:

We study the effect of polydispersity on the macroscopic physical properties of granular packings in two and three dimensions. A mean-field approach is developed to approximate the macroscale quantities as functions of the microscopic ones. We show that the trace of the fabric and stress tensors are proportional to the mean packing properties (e.g. packing fraction, average coordination number, and average normal force) and dimensionless correction factors, which depend only on the moments of the particle-size distribution. Similar results are obtained for the elements of the stiffness tensor of isotropic packings in the linear affine response regime. Our theoretical predictions are in good agreement with the simulation results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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