Periodic Auxetics: Structure and Design.

Periodic Auxetics: Structure and Design.
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DOI:
10.1093/qjmam/hbx028
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发表时间:
2018-05
期刊:
The quarterly journal of mechanics and applied mathematics
影响因子:
--
通讯作者:
Streinu I
Streinu I
中科院分区:
其他
文献类型:
--
作者:
Borcea CS;Streinu I

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材料科学已经采用拉胀行为的术语来描述结构变形,其中在某些方向上的拉伸引起横向加宽,而不是横向收缩。在过去的三十年里,大多数研究都探索了重复或细胞结构,并使用负泊松比的概念作为拉胀行为的标志。然而,没有一般的拉胀原理已从这个角度建立。在本文中,我们表明,一个纯粹的几何方法周期性拉胀是容易识别的基本特征的框架与拉胀变形,可以产生一个系统的和无尽的系列周期性拉胀设计。临界特征是指通过位似椭球族表示的凸性。
Materials science has adopted the term of auxetic behavior for structural deformations where stretching in some direction entails lateral widening, rather than lateral shrinking. Most studies, in the last three decades, have explored repetitive or cellular structures and used the notion of negative Poisson’s ratio as the hallmark of auxetic behavior. However, no general auxetic principle has been established from this perspective. In the present article, we show that a purely geometric approach to periodic auxetics is apt to identify essential characteristics of frameworks with auxetic deformations and can generate a systematic and endless series of periodic auxetic designs. The critical features refer to convexity properties expressed through families of homothetic ellipsoids.
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