EXTREME COSSERAT ELASTIC CUBE STRUCTURE WITH LARGE MAGNITUDE OF NEGATIVE POISSON'S RATIO

被引：24

作者：

Andrade, Carlos ^{[1
]}

Ha, Chan Soo ^{[1
]}

Lakes, Roderic S. ^{[2
]}

机构：

[1] Univ Wisconsin, Madison, WI 53706 USA

[2] Univ Wisconsin, Dept Engn Phys, Madison, WI USA

来源：

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES | 2018年 / 13卷 / 01期

基金：

美国国家科学基金会;

关键词：

auxetic; negative Poisson's ratio; Cosserat; metamaterial; ROTATING RIGID UNITS; AUXETIC BEHAVIOR; SYSTEM;

D O I：

10.2140/jomms.2018.13.93

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A structure consisting of pivoting cubes is presented. It has zero Young's modulus and zero bulk modulus. Poisson's ratio has large negative values in all directions; the structure exhibits anisotropy in Poisson's ratio. The structure is compliant in tension but rigid in torsion and bending. The Cosserat characteristic length tends to infinity.

引用

页码：93 / 101

页数：9

共 17 条

[1] ALMGREN RF, 1985, J ELASTICITY, V15, P427, DOI 10.1007/BF00042531
[2] A three-dimensional rotating rigid units network exhibiting negative Poisson's ratios
Attard, Daphne
Grima, Joseph N.
[J]. PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2012, 249 (07): : 1330 - 1338
[3] Auxetic behaviour from rotating rhombi
Attard, Daphne
Grima, Joseph N.
[J]. PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2008, 245 (11): : 2395 - 2404
[4] Folding and faulting of an elastic continuum
Bigoni, Davide
Gourgiotis, Panos A.
[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 472 (2187):
[5] Cosserat E., 1909, Theorie des corps deformables
[6] Eringen AC, 1968, Fracture, V2, P662
[7] Stress channelling in extreme couple-stress materials Part I: Strong ellipticity, wave propagation, ellipticity, and discontinuity relations
Gourgiotis, Panos A.
Bigoni, Davide
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2016, 88 : 150 - 168
[8] Auxetic behavior from rotating triangles
Grima, JN
Evans, KE
[J]. JOURNAL OF MATERIALS SCIENCE, 2006, 41 (10) : 3193 - 3196
[9] Auxetic behaviour from, rotating rigid units
Grima, JN
Alderson, A
Evans, KE
[J]. PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2005, 242 (03): : 561 - 575
[10] LAKES R, 1987, SCIENCE, V238, P551, DOI 10.1126/science.238.4826.551-a

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