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首页> 外文期刊>Proceedings of the institution of mechanical engineers >Computational modelling of particulate-reinforced materials up to high volume fractions: Linear elastic homogenisation
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Computational modelling of particulate-reinforced materials up to high volume fractions: Linear elastic homogenisation

机译：颗粒增强材料达到大容量分数的计算模型：线性弹性均质化

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摘要

This work focuses on the analysis of the micro and macroscopic mechanical response of particle-reinforced composites. A particular attention is paid to the influence of two fundamental design parameters, i.e. the particles shape and their volume fraction (up to very high values ranging from 0 to almost 0.8), on the overall mechanical response of the structure as well as on the resulting elastic symmetry of the material. The strain energy-based homogenisation technique of periodic media is here applied to a 2D finite element model of a representative volume element of the composite. Different algorithms are developed to generate, with a good level of accuracy, the real microstructure of the composite material characterised by circular as well as polygonal particles. Moreover, for each studied configuration, a link between the geometrical parameters of the microstructure (particles shape, size, distribution, and volume fraction) and the size of the representative volume element is also provided in order to properly describe the constitutive behaviour of the composite at the macroscopic scale. The numerical results are compared with analytical models taken from the literature to prove on the one hand the limitations of the analytical approaches and on the other hand the effectiveness of the proposed numerical models.
机译：这项工作侧重于分析粒子增强复合材料的微观和宏观机械响应。特别注意两个基本设计参数的影响，即颗粒形状及其体积分数（高达0至差约0.8）的体积分数，在结构的整体机械响应以及所得的情况下材料的弹性对称。周期性介质的应变能量的均化技术在此应用于复合材料的代表性体积元件的2D有限元模型。开发不同的算法以产生良好的精度水平，复合材料的真实微观结构，其特征在于圆形以及多边形颗粒。此外，对于每个研究的配置，还提供了微结构（粒子形状，尺寸，分布和体积分数）和代表体元素的尺寸之间的链路，以便适当地描述复合材料的组成型行为在宏观规模。将数值结果与从文献中取出的分析模型进行了比较，以证明分析方法的局限性，另一方面是所提出的数值模型的有效性。

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