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

页码：3385 / 3405

页数：21

共 50 条

[31] THE POISSON RATIO OF POROUS MATERIALS
Pabst, W.
Gregorova, E.
[J]. CHARACTERISATION OF POROUS SOLIDS VIII, 2009, (318): : 424 - 431
[32] Estimation of the Poisson's Ratio of Rubber Elastic Materials.
Posfalvi, Odon
[J]. Kautschuk und Gummi, Kunststoffe, 1982, 35 (11): : 940 - 941
[33] Continuous and discrete microstructured materials with null Poisson's ratio
Carta, Giorgio
Cabras, Luigi
Brun, Michele
[J]. JOURNAL OF THE EUROPEAN CERAMIC SOCIETY, 2016, 36 (09) : 2183 - 2192
[34] Negative Poisson's ratio materials via isotropic interactions
Rechtsman, Mikael C.
Stillinger, Frank H.
Torquato, Salvatore
[J]. PHYSICAL REVIEW LETTERS, 2008, 101 (08)
[35] Correlation between Poisson's ratio and porosity in porous materials
Kovácik, J
[J]. JOURNAL OF MATERIALS SCIENCE, 2006, 41 (04) : 1247 - 1249
[36] Abnormal Poisson's ratio and Linear Compressibility in Perovskite Materials
Huang, C. W.
Ren, Wei
Viet Cuong Nguyen
Chen, Zuhuang
Wang, Junling
Sritharan, T.
Chen, Lang
[J]. ADVANCED MATERIALS, 2012, 24 (30) : 4170 - 4174
[37] Variation of Poisson's ratio of refractory materials with thermal shocks
Podworny, J.
Wojsa, J.
Wala, T.
[J]. CERAMICS INTERNATIONAL, 2011, 37 (07) : 2221 - 2227
[38] Measurement of Poisson's ratio of dental composite restorative materials
Chung, SM
Yap, AUJ
Koh, WK
Tsai, KT
Lim, CT
[J]. BIOMATERIALS, 2004, 25 (13) : 2455 - 2460
[39] Void-containing materials with tailored Poisson's ratio
Goussev, OA
Richner, P
Rozman, MG
Gusev, AA
[J]. JOURNAL OF APPLIED PHYSICS, 2000, 88 (07) : 4013 - 4016
[40] Measurement methods of complex Poisson's ratio of viscoelastic materials
Pritz, T
[J]. APPLIED ACOUSTICS, 2000, 60 (03) : 279 - 292

← 1 2 3 4 5 →