在均质化框架内高效且可靠的随机生成RVEs的方法
On efficient and reliable stochastic generation of RVEs for analysis of composites within the framework of homogenization
AI总结：
本文提出两种高效生成复合材料RVEs的方法，用于随机均质化分析，适用于球形和圆柱形混合包覆体，验证了其在低体积分数和高密度配置中的有效性。
摘要：
本文描述了用于生成适用于通过随机均质化分析复合材料有效性质的代表性体积元素（RVEs）的高效方法。我们关注由球形和圆柱形包覆体混合增强的复合材料。对于这些几何形状，我们给出了便于验证的交集显式条件。基于这些条件，我们提出了两种生成RVEs的方法：一种基于随机顺序吸附方案，另一种基于时间驱动分子动力学。我们测试了这些方法的效率，并表明第一种方法在低体积分数包覆体时极为有效，而第二种方法允许构建更密集的配置。所有算法均明确给出，以便直接实现。
英文摘要：
In this paper we describe efficient methods of generation of representative volume elements (RVEs) suitable for producing the samples for analysis of effective properties of composite materials via and for stochastic homogenization. We are interested in composites reinforced by a mixture of spherical and cylindrical inclusions. For these geometries we give explicit conditions of intersection in a convenient form for verification. Based on those conditions we present two methods to generate RVEs: one is based on the Random Sequential Adsorption scheme, the other one on the time driven Molecular Dynamics. We test the efficiency of these methods and show that the first one is extremely powerful for low volume fraction of inclusions, while the second one allows us to construct denser configurations. All the algorithms are given explicitly so they can be implemented directly.
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