Abstract This paper proposes to take into account the influence of some morphological fluctuations – often observed in unidirectional composite materials – on the modelling of the elastic behaviour of such materials. This work relies on a Generalized Self-Consistent Scheme coupled with a Morphologically Representative Pattern based approach. An analytical model is proposed to deal with “non-percolated” or trapped matrix regions. Closed-form analytical expressions are provided to investigate different kinds of morphological fluctuation effects on the effective transverse elastic behaviour. Finally some examples are given to illustrate the effectiveness of this approach.

中文翻译：

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形态波动对单向纤维增强复合材料横向弹性行为影响的分析建模

摘要 本文建议考虑一些形态波动（通常在单向复合材料中观察到）对此类材料弹性行为建模的影响。这项工作依赖于广义自洽方案以及基于形态学代表模式的方法。提出了一种分析模型来处理“非渗透”或被困矩阵区域。提供了封闭形式的解析表达式来研究不同类型的形态波动对有效横向弹性行为的影响。最后给出了一些例子来说明这种方法的有效性。