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Exploiting the benefits of multi-scale analysis in reliability analysis for composite structures

机译：在复合结构可靠性分析中利用多尺度分析的好处

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This paper investigates two critical issues, namely propagation of multi-scale uncertainty, and selection of failure criteria, related to reliability analysis of composites by using multi-scale methods. Due to the multi-scale architecture of composites, uncertainties exist in both microscale and macroscale parameters. It is necessary, therefore,, to consider random variables at various length scales to ensure accurate estimates of the reliability of composites. Three types of homogenization methods, namely rule of mixtures, Mori-Tanaka and computational homogenization, are adopted to link these two scales, and to propagate uncertainty from micro to macro scales. By integrating these homogenization methods with the stochastic finite element method and structural reliability methods, the reliability of composites can be investigated with a limit state function based on a chosen failure criterion. This multi-scale reliability analysis procedure has been applied to analyse laminated fibre reinforced composites made of AS4/3501 carbon/epoxy. Firstly, a comparative study has been conducted to evaluate the performance of the assumed homogenization methods for the reliability of composites, and to identify advantages compared with a single scale analysis. The results show that multi-scale analysis can provide more accurate reliability estimates. Secondly, several popularly used failure criteria for composites have been compared using multi scale reliability analysis. (C) 2016 The Authors. Published by Elsevier Ltd.
机译：本文研究了与使用多尺度方法进行复合材料可靠性分析有关的两个关键问题，即多尺度不确定性的传播和破坏准则的选择。由于复合材料的多尺度体系结构，因此微观尺度和宏观尺度参数均存在不确定性。因此，有必要考虑各种长度尺度的随机变量，以确保复合材料可靠性的准确估算。三种类型的均化方法，即混合法则，Mori-Tanaka方法和计算均化方法，被用来链接这两个尺度，并将不确定性从微观尺度扩展到宏观尺度。通过将这些均化方法与随机有限元方法和结构可靠性方法相结合，可以基于选择的破坏准则，利用极限状态函数来研究复合材料的可靠性。此多尺度可靠性分析程序已应用于分析由AS4 / 3501碳/环氧树脂制成的层压纤维增强复合材料。首先，进行了一项比较研究，以评估假设的均质化方法对复合材料可靠性的性能，并确定与单尺度分析相比的优势。结果表明，多尺度分析可以提供更准确的可靠性估计。其次，使用多尺度可靠性分析比较了几种常用的复合材料破坏准则。 （C）2016作者。由Elsevier Ltd.发布

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