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Numerical determination of representative volumes for granular materials

机译:粒状物料代表体积的数值确定

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A numerical approach has been proposed to quantify the size of representative volume elements (RVEs) for materials that consist of particles in a matrix material. Various series of random particle distributions with different densities have been generated, which are used as input for nonlinear finite element simulations. A statistical procedure has been used to determine averages and standard deviations for each test series. Several criteria have been taken to quantify the size of the RVE, including peak load, dissipated energy and strain concentration factor. The various criteria lead to different RVE sizes. Furthermore, the sensitivity of these three properties to the particle size distribution is assessed. An investigation is made in which smaller particles in an RVE were replaced by larger ones while the aggregate density distribution was kept constant. Finally, the interaction is studied between the size of the RVE and the internal length scale of the underlying level of observation.
机译:已经提出了一种数值方法来量化由基质材料中的颗粒组成的材料的代表性体积元素(RVE)的尺寸。已经生成了具有不同密度的各种系列的随机粒子分布,这些序列用作非线性有限元模拟的输入。统计程序已用于确定每个测试系列的平均值和标准偏差。已经采取了一些标准来量化RVE的大小,包括峰值负荷,耗散能量和应变集中系数。各种标准导致不同的RVE大小。此外,评估了这三种性质对粒度分布的敏感性。进行了研究,其中将RVE中的较小颗粒替换为较大的颗粒,同时将聚集体密度分布保持恒定。最后,研究了RVE的大小与基础观测水平的内部长度尺度之间的相互作用。

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