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Directional properties of fibre network materials evaluated by means of discrete homogenization
European Journal of Mechanics - A/Solids ( IF 4.1 ) Pub Date : 2020-04-04 , DOI: 10.1016/j.euromechsol.2020.104009
Salvatore Gazzo , Massimo Cuomo , Claude Boutin , Loredana Contrafatto

Lattice fibre materials are challenging the standard modelling approaches due to their specific nature that results in peculiar effective behaviours such as extremely anisotropic materials or generalized continuum media. In this context, the aim of this paper is to the determine qualitatively and quantitatively the role of the morphological and mechanical parameters by investigating simple archetypical microstructures. The study is conducted through a up-scaling approach making use of the Homogenization method of discrete periodic media in the framework of a variational approach. The outcomes of this method are presented for several microstructures considered as Euler beam lattices. The effective modelling are established for rectangular or skew arrays, braced or not braced, with rigid or pivot connections and their properties are analyzed. A particular emphasis is given to anisotropy and strain gradient features in relation with the geometry of the pattern and nature of the connections.



中文翻译:

通过离散均质评估纤维网络材料的方向性

晶格纤维材料由于其特殊的性质(例如极各向异性的材料或广义连续介质)会导致特殊的有效行为,因此它们正挑战标准建模方法。在这种情况下,本文的目的是通过研究简单的原型微观结构,定性和定量地确定形态学和力学参数的作用。该研究是通过在变分方法框架内利用离散周期介质的均质化方法的放大方法进行的。对于几种被视为欧拉束晶格的微结构,提出了该方法的结果。建立了具有刚性或枢轴连接的矩形或倾斜阵列的支撑或不支撑的有效建模,并分析了它们的属性。

更新日期:2020-04-21
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