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Voronoi tessellation based statistical volume element characterization for use in fracture modeling

机译：基于Voronoi细分的统计体积元素表征，用于裂缝建模

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Accurate characterization of random heterogeneity in a material microstructure is essential to the accurate characterization of complex fracture patterns that result from random crack nucleation and propagation. It is also important to characterize microstructural behavior at intermediate scales, between the length scale of material heterogeneity and the scale of a Representative Volume Element (RVE). The availability of material property data at multiple scales will ultimately allow adjustment of computational cost and level of accuracy with respect to resolution of complex fracture patterns. Statistical Volume Elements (SVE) may be generated at the mesoscale by partitioning an RVE. SVE provide a probabilistic characterization of material heterogeneity, while also presenting a continuum representation of apparent properties. Appropriate definition of an SVE requires modeling choices, such as partitioning methods and size. An essential modeling assumption is the choice of loading condition used to approximate SVE apparent behavior, since the constitutive properties of an SVE are not necessarily invariant with respect to the boundary condition applied. This work develops a Voronoi tessellation based partitioning scheme applied at various length scales, for heterogeneous materials with various contrast ratios. Results show the variability of failure strength for a given SVE as a function of loading direction. Results of the mesoscale material property analysis are implemented in an asynchronous spacetime discontinuous Galerkin (aSDG) finite element based fracture model. (C) 2018 Elsevier B.V. All rights reserved.
机译：材料微观结构中随机异质性的准确表征对于由随机裂纹成核和扩展产生的复杂断裂模式的准确表征至关重要。在材料异质性的长度尺度和代表性体积元素（RVE）的尺度之间的中等尺度上表征微观结构行为也很重要。材料属性数据在多个尺度上的可用性最终将允许调整计算成本和相对于复杂裂缝模式分辨率的精度水平。统计体积元素（SVE）可以通过划分RVE以中尺度生成。 SVE提供了材料异质性的概率表征，同时还提供了表观特性的连续表示。 SVE的适当定义需要建模选择，例如分区方法和大小。一个基本的建模假设是选择用于近似SVE视在行为的加载条件，因为SVE的本构特性不一定相对于所应用的边界条件是不变的。这项工作开发了一种基于Voronoi细分的分区方案，该方案适用于各种长度比例的具有不同对比度的异质材料。结果表明，给定SVE的破坏强度随载荷方向的变化。中尺度材料特性分析的结果在基于异步时空不连续Galerkin（aSDG）有限元的断裂模型中实现。 （C）2018 Elsevier B.V.保留所有权利。

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