An hexagonal array of fourfold interconnected hexagonal nodules for modeling auxetic microporous polymers: a comparison of 2D and 3D models
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Materials and structures that exhibit negative Poisson’s ratios are categorized under auxetic systems. Auxetic materials attract considerable attention due to their counter intuitive properties, and such materials have been examined at length by Lakes and co-authors [ 1, 2], Evans and co-authors [ 3, 4] and others (e.g., [ 5, 6, 7, 8, 9]). It was shown that a Poisson’s ratio as low as v = −12 was achievable for a polymeric microporous material that consists of nodules interconnected by fibrils [ 3, 4]. Using rectangular blocks with fibril connections, as shown in Fig. 1a, Alderson and Evans [ 10, 11] developed 2D models of Young’s moduli and Poisson’s ratios for varying geometrical parameters and fibril stiffness. The influence of processing parameters on the microstructures, and hence the mechanical properties, of these fibril-linked nodules were experimentally investigated by Alderson et al. [ 12, 13]. In spite of its rectangular shape selected for the nodules, they were arranged in...
KeywordsFibril Representative Volume Element Hexagonal Array Rectangular Model Hexagonal Model
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