Chiral three-dimensional lattices with tunable Poisson's ratio

被引：143

作者：

Ha, Chan Soo ^{[1
]}

Plesha, Michael E. ^{[1
]}

Lakes, Roderic S. ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Engn Phys, Madison, WI 53706 USA

来源：

SMART MATERIALS AND STRUCTURES | 2016年 / 25卷 / 05期

基金：

美国国家科学基金会;

关键词：

chirality; negative Poisson's ratio; auxetic; Cosserat; ELASTICITY; BEHAVIOR;

D O I：

10.1088/0964-1726/25/5/054005

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

Chiral three-dimensional cubic lattices are developed with rigid cubical nodules and analyzed via finite element analysis. The lattices exhibit geometry dependent Poisson's ratio that can be tuned to negative values. Poisson's ratio tends to zero as the cubes become further apart. The lattices exhibit stretch-twist coupling. Such coupling cannot occur in a classical elastic continuum but it can occur in a chiral Cosserat solid.

引用

页数：6

共 28 条

[1] Smart tetrachiral and hexachiral honeycomb: Sensing and impact detection [J].

Abramovitch, H. ;

Burgard, M. ;

Edery-Azulay, Lucy ;

Evans, K. E. ;

Hoffmeister, M. ;

Miller, W. ;

Scarpa, F. ;

Smith, C. W. ;

Tee, K. F. .

COMPOSITES SCIENCE AND TECHNOLOGY, 2010, 70 (07) :1072-1079

[2] Microstructural evolution in the processing of auxetic microporous polymers [J].

Alderson, K. L. ;

Webber, R. S. ;

Evans, K. E. .

PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2007, 244 (03) :828-841

[3] SIZE EFFECTS DUE TO COSSERAT ELASTICITY AND SURFACE DAMAGE IN CLOSED-CELL POLYMETHACRYLIMIDE FOAM [J].

ANDERSON, WB ;

LAKES, RS .

JOURNAL OF MATERIALS SCIENCE, 1994, 29 (24) :6413-6419

[4] Evaluation of hexagonal chiral structure for morphing airfoil concept [J].

Bornengo, D ;

Scarpa, F ;

Remillat, C .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING, 2005, 219 (G3) :185-192

[5] On three-dimensional dilational elastic metamaterials [J].

Bueckmann, Tiemo ;

Schittny, Robert ;

Thiel, Michael ;

Kadic, Muamer ;

Milton, Graeme W. ;

Wegener, Martin .

NEW JOURNAL OF PHYSICS, 2014, 16

[6]

Cook R, 2002, Concepts and Applications of Finite Element Analysis, V4th

[7]

Eringen AC, 1968, Fracture, V2, P662

[8] A generalised three-dimensional tethered-nodule model for auxetic materials [J].

Gaspar, N. ;

Smith, C. W. ;

Alderson, A. ;

Grima, J. N. ;

Evans, K. E. .

JOURNAL OF MATERIALS SCIENCE, 2011, 46 (02) :372-384

[9]

Gibson L.J., 1998, CELLULAR SOLIDS

[10] THE MECHANICS OF TWO-DIMENSIONAL CELLULAR MATERIALS [J].

GIBSON, LJ ;

ASHBY, MF ;

SCHAJER, GS ;

ROBERTSON, CI .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 382 (1782) :25-42

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