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Uncertainty analysis of mechanical properties of plain woven carbon fiber reinforced composite via stochastic constitutive modeling

机译:碳素纤维编织复合材料力学性能的随机本构关系不确定度分析

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摘要

Carbon fiber reinforced polymer (CFRP) composites possess inevitable geometric variabilities across scales, which directly relates to the fluctuations of mechanical properties. Meanwhile, complex damage and failure are involved in material behaviors. In this study, a phenomenological damage constitutive law of plain woven CFRP was first established based on experimental data. In order to further characterize the uncertainty of mechanical properties, a stochastic constitutive model was developed. A series of statistical volume element (SVE) finite element models were constructed according to the geometrical parameters extracted from micro-computed tomography (micro-CT) image. A set of mechanical response data including damage and failure stages were obtained from SVE simulation results. Uncertainty was introduced into several constitutive parameters and was then quantified by statistical Vine Copula method, margin characteristics, as well as correlations among these parameters, were analyzed. The proposed stochastic constitutive model was verified through comparison with experimental results, which showed the ability of the model to express the randomness of mechanical properties.
机译:碳纤维增强聚合物(CFRP)复合材料在各个尺度上具有不可避免的几何变异性,这直接与机械性能的波动有关。同时,物质行为涉及复杂的损坏和故障。在这项研究中,首先基于实验数据建立了平纹CFRP的现象学破坏本构关系。为了进一步表征机械性能的不确定性,建立了随机本构模型。根据从微计算机断层扫描(micro-CT)图像中提取的几何参数,构建了一系列统计体积元(SVE)有限元模型。从SVE仿真结果获得了包括损坏和失效阶段在内的一组机械响应数据。将不确定度引入几个本构参数中,然后通过统计Vine Copula方法进行量化,对边距特征以及这些参数之间的相关性进行分析。通过与实验结果进行比较,验证了所提出的随机本构模型,表明该模型具有表达机械性能随机性的能力。

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