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Auxetic behaviour from stretching connected squares

机译:拉伸连接正方形引起的辅助行为

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Systems with negative Poisson's ratio (auxetic) exhibit the unusual characteristic of getting fatter when stretched and thinner when compressed. Such behaviour is a scale-independent property and is the result of a cooperation between the internal geometry of the system and the way this deforms when uniaxially stretched. Here, we analyse the anisotropic mechanical properties for a system constructed from connected squares which can deform through changes in length of the sides of the squares (idealised 'ystretching squares' model). In particular, we show that this system may exhibit a negative Poisson's ratio which depends on the angle between the squares and the direction of loading but is independent of the size of the squares which suggests that this model may be implemented at any scale of structure including the micro- and nano-level. We also show how this model compares and complements the existing 'rotating squares' model which also works on a system with the same geometric characteristics and which has been shown to lead to auxeticity in various classes of materials.
机译:泊松比为负的系统(膨胀性)表现出不同寻常的特性:拉伸时变胖,压缩时变薄。这种行为是与尺寸无关的属性,并且是系统内部几何结构与单轴拉伸时其变形方式之间相互作用的结果。在这里,我们分析了由连接的正方形构成的系统的各向异性力学性能,该正方形可以通过正方形边长的变化而变形(理想化的“拉伸正方形”模型)。特别是,我们表明该系统可能表现出负泊松比,该泊松比取决于正方形之间的角度和荷载方向,但与正方形的大小无关,这表明该模型可以在包括结构在内的任何规模的结构上实施微米和纳米级别。我们还将展示此模型如何比较和补充现有的“旋转正方形”模型,该模型也可在具有相同几何特征的系统上工作,并且已证明可导致各种材料的膨胀性。

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