Hinged lattices that attain extremal values of Poisson’s ratio do not in general obey the theory of elasticity. Hinged structures that attain a Poisson’s ratio of − 1 are easy to stretch or deform volumetrically but they resist bending, in contrast to the predictions of elasticity theory. Their behavior corresponds to that of a Cosserat solid with divergent characteristic length. Hinged structures that attain a maximum Poisson’s ratio are rigid with respect to hydrostatic tension, are easy to shear or to stretch but are unstable with respect to hydrostatic compression.

中文翻译：

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极值铰接点阵不遵守弹性理论

获得泊松比极值的铰接晶格通常不遵循弹性理论。与弹性理论的预测相反，泊松比为 - 1 的铰接结构易于在体积上拉伸或变形，但它们抵抗弯曲。它们的行为对应于具有不同特征长度的 Cosserat 固体。达到最大泊松比的铰接结构在静水张力方面是刚性的，易于剪切或拉伸，但在静水压缩方面不稳定。