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Construction of statistically similar representative volume elements for discontinuous fiber composites

机译：间断纤维复合材料的统计相似的代表性体积元素的构造

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摘要

A computational method is proposed for the construction of statistically similar representative volume elements (SSRVEs) for discontinuous fiber composites (DFCs) in order to enable an efficient calculation of material properties based on computational homogenization. The SSRVEs are obtained by solving an optimization problem which minimizes the difference between the power spectral density of a target microstructure and its simplified one. The SSRVEs are constructed for target microstructures serving as examples for DFCs, which are validated by means of comparing the mechanical properties of the target microstructures with the ones of the SSRVEs. The results show that the mechanical properties of the SSRVEs agree with the target microstructures and that the SSRVEs can extremely reduce the computational costs of finite element analyses to derive macroscopic material properties of DFCs.
机译：提出了一种计算方法，用于构造不连续纤维复合材料（DFC）的统计上相似的代表体积元素（SSRVE），以便能够基于计算均质化有效地计算材料性能。通过解决优化问题来获得SSRVE，该优化问题将目标微结构的功率谱密度与其简化的结构的功率谱密度之间的差异最小化。 SSRVE是为用作DFC实例的目标微结构而构造的，通过比较目标微结构的机械性能与SSRVE的机械性能来验证。结果表明，SSRVE的力学性能与目标微观结构相吻合，并且SSRVE可以极大地降低有限元分析得出DFC宏观材料性能的计算成本。

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