Abstract Investigations of wave propagation in composite materials have been used both to experimentally measure material properties and to validate material property model characterizations. For continuous fiber reinforced composites, these characterizations often have relied on a bulk description of the effective behavior of a Representative Volume Element (RVE) and assumed ideal conditions of transverse isotropy and a well defined direction of the fibers. Analytic models, based on these composite properties and fiber directions, can then be used to predict the speeds of waves propagating through the material. The goal of this work is to develop a probabilistic simulation to examine how variations in the composite properties and small angles of mis-alignment of the fibers affect wave speed. To achieve this, a joint probability function is constructed where a dominant material property and the angle of fiber orientation are considered independent random variables. Sampling from this joint distribution produces pairs of parameters that can be input into wave speed analysis. The resulting wave speed distributions can be used to characterize the joint effects of randomness in material property and fiber angle.

中文翻译：

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随机复合材料中波速的概率建模和仿真

摘要 复合材料中波传播的研究已被用于实验测量材料特性和验证材料特性模型表征。对于连续纤维增强复合材料，这些表征通常依赖于对代表性体积元 (RVE) 的有效行为的整体描述，并假设横向各向同性的理想条件和明确定义的纤维方向。然后可以使用基于这些复合材料特性和纤维方向的分析模型来预测波在材料中传播的速度。这项工作的目标是开发一种概率模拟，以检查复合材料特性的变化和纤维的小角度错位如何影响波速。为了达成这个，构建联合概率函数，其中主要材料特性和纤维取向角度被视为独立的随机变量。从这个联合分布中采样会产生成对的参数，这些参数可以输入到波速分析中。由此产生的波速分布可用于表征材料特性和纤维角度随机性的联合效应。