Periodic tilings and auxetic deployments
Periodic tilings and auxetic deployments
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DOI：
10.1177/1081286520948116
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发表时间：
2020-08-24
影响因子：
2.6
通讯作者：
Streinu, Ileana
中科院分区：
文献类型：
--
作者：
Borcea, Ciprian S.;Streinu, Ileana
研究了具有三自由度的平面周期框架的几何特性。虽然在材料科学中已经以手性或缺失肋骨模型的名义考虑了这种结构设计的几种形象，但所有先前的研究都只涉及局部特性和有限的部署场景。我们描述了框架的整体构形空间，并强调了形变的几何基础。可以考虑任意维的类似结构。
We investigate geometric characteristics of a specific planar periodic framework with three degrees of freedom. While several avatars of this structural design have been considered in materials science under the name of chiral or missing rib models, all previous studies have addressed only local properties and limited deployment scenarios. We describe the global configuration space of the framework and emphasize the geometric underpinnings of auxetic deformations. Analogous structures may be considered in arbitrary dimension.