Sasagawa Takashi, Tanaka Masato, Omote Ryuji, Balzani Daniel
Toyota Central R&D Laboratories, Inc., 41-1 Yokomichi, Nagakute, Aichi, 480-1192, Japan.
Institute of Mechanics and Shell Structures, Technical University Dresden, August-Bebel-Straße 30, 01219, Dresden, Germany.
Sci Rep. 2020 Jun 30;10(1):10608. doi: 10.1038/s41598-020-66963-1.
A computational method is proposed in order to predict mechanical properties of discontinuous fiber composites (DFCs) based on computational homogenization with statistically similar representative volume elements (SSRVEs). The SSRVEs are obtained by reducing the complexity of real microstructures based on statistical measures. Specifically, they are constructed by minimizing an objective function defined in terms of differences between the power spectral density of target microstructures and that of the SSRVEs. In this paper, an extended construction method is proposed based on the reformulation of the objective function by integer design variables. The proposed method is applied to the representation of a real material, namely glass fiber reinforced nylon 6. The results show that the mechanical properties computed by numerical material tests using the SSRVEs agree with experimental results. Therefore, it is found that the nonlinear mechanical properties of the DFC can be suitably predicted by the proposed method without any special calibration to experiments performed on the composites.
提出了一种基于具有统计相似代表性体积单元（SSRVEs）的计算均匀化来预测不连续纤维复合材料（DFCs）力学性能的计算方法。通过基于统计量降低真实微观结构的复杂性来获得SSRVEs。具体而言，它们是通过最小化一个根据目标微观结构和SSRVEs的功率谱密度差异定义的目标函数来构建的。本文基于用整数设计变量对目标函数的重新表述，提出了一种扩展的构建方法。所提出的方法应用于一种真实材料的表征，即玻璃纤维增强尼龙6。结果表明，使用SSRVEs通过数值材料试验计算得到的力学性能与实验结果相符。因此，发现通过所提出的方法可以适当地预测DFC的非线性力学性能，而无需对复合材料进行的实验进行任何特殊校准。
