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Stochastic multi-scale modeling of carbon fiber reinforced composites with polynomial chaos

机译:具有多项式混沌的碳纤维增强复合材料的随机多尺度模拟

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摘要

A stochastic multi-scale modeling framework for uncertainty quantification of carbon fiber reinforced composites with a non-intrusive method called Polynomial Chaos Decomposition with Differentiation (PCDD) is presented. The performance behavior and reliability of the composites are dependent on its constituents properties (fiber and matrix properties) in addition to ply-orientation, ply-thickness, and loading conditions; hence, the uncertainties are considered using two stages: i) micro-scale modeling, and ii) macro-scale modeling. In the first stage, stochastic micro-scale modeling with PCDD is carried out to obtain the effective material properties of a lamina that are influenced by the uncertainties in its constituents. Then, these stochastic effective material properties are considered along with the uncertainties in geometrical properties of the laminate such as ply thicknesses and ply orientation to determine the stochastic performance of the laminate. The framework was applied for multi-scale buckling analysis and reliability estimation. Another approach for polynomial chaos called Stochastic Point Collocation (COLL) was also studied, and the results obtained with PCDD and COLL were compared with a large number of Latin Hypercube Sampling simulations. The results demonstrated the computational superiority of the proposed framework to achieve high accuracy stochastic response models as well as invaluable information about composites using a stochastic approach.
机译:提出了一种随机的多尺度建模框架,该框架使用一种称为微分的多项式混沌分解(PCDD)的非侵入性方法来量化碳纤维增强复合材料的不确定性。复合材料的性能和可靠性还取决于其组成特性(纤维和基质特性)以及层定向,层厚度和加载条件。因此,使用两个阶段来考虑不确定性:i)微观模型,ii)宏观模型。在第一阶段,使用PCDD进行随机微观建模,以获得层板的有效材料特性,该特性受其成分不确定性的影响。然后,将这些随机有效材料特性与层合板的几何性能的不确定性(如层厚度和层定向)一起考虑,以确定层合板的随机性能。该框架被应用于多尺度屈曲分析和可靠性评估。还研究了另一种称为随机点配置(COLL)的多项式混沌方法,并将PCDD和COLL获得的结果与大量的拉丁超立方体采样模拟进行了比较。结果证明了所提出的框架在实现高精度随机响应模型以及使用随机方法获得的有关复合材料的宝贵信息方面的计算优势。

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