Poisson's ratio in cubic materials

被引：100
|
作者：
Norris, Andrew N. [1 ]
机构：
[1] Rutgers State Univ, Piscataway, NJ 08854 USA
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2006年 / 462卷 / 2075期
关键词：
Poisson's ratio; cubic symmetry; anisotropy;
D O I：
10.1098/rspa.2006.1726
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Expressions are given for the maximum and minimum values of Poisson's ratio V for materials with cubic symmetry. Values less than - 1 occur if and only if the maximum shear modulus is associated with the cube axis and is at least 25 times the value of the minimum shear modulus. Large values of P1 occur in directions at which the Young modulus is approximately equal to one half of its III value. Such directions, by their nature, are very close to 111. Application to data for cubic crystals indicates that certain Indium Thallium alloys simultaneously exhibit Poisson's ratio less than -1 and greater than + 2.
引用
收藏
页码：3385 / 3405
页数：21
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