US Army Communications-Electronics RDEC, Fort Monmouth, NJ, USA.
IEEE Trans Ultrason Ferroelectr Freq Control. 2010 Jan;57(1):7-15. doi: 10.1109/TUFFC.2010.1372.
Poisson's ratio, the relation between lateral contraction of a thin, linearly elastic rod when subjected to a longitudinal extension, has a long and interesting history. For isotropic bodies, it can theoretically range from +1/2 to -1; the experimental gamut for anisotropics is even larger. The ratio is positive for all combinations of directions in most crystals. But as far back as the 1800s, Voigt and others found that negative values were encountered for some materials, a property now called auxeticity. Here we examine this property from the point of view of crystal stability and compute extrema of the ratio for various interesting and technologically important materials. Potential applications of the auxetic property are mentioned.
泊松比，即当一根细长的、线性弹性棒受到纵向拉伸时的横向收缩关系，有着悠久而有趣的历史。对于各向同性物体，理论上它的范围可以从+1/2 到-1；各向异性的实验范围甚至更大。在大多数晶体中，所有方向的组合的比值都是正的。但早在 19 世纪，Voigt 等人就发现，一些材料的泊松比会出现负值，这种特性现在被称为负泊松比。在这里，我们从晶体稳定性的角度来研究这一特性，并计算了各种有趣的、具有重要技术意义的材料的泊松比极值。还提到了负泊松比的潜在应用。
