Analogies across auxetic models based on deformation mechanism

Physica Status Solidi - Rapid Research Letters - Tập 11 Số 6 - 2017
Teik‐Cheng Lim1
1School of Science and Technology, Singapore University of Social Sciences, Singapore

Tóm tắt

This paper reviews 2D auxetic models, including 3D deformation models with 2D auxetic behavior, from mechanism perspective instead of geometrical perspective. On this basis, auxetic models across different geometrical groups can be regrouped into clusters that exhibit analogy in deformation mechanism. Factors that are taken into consideration include the identification of corresponding (i) rotation and non‐rotation units, as well as (ii) linkages/joints between rotation and non‐rotation units and non‐linkages/non‐joints across various auxetic models. As a result, five clusters of auxetic models have been identified, in which auxetic models within each cluster are analogous to each other. The identified clusters are those that exhibit: (a) double periodicity in the rotation direction of their rotating units, (b) synchronized rotation direction of their rotation units, (c) single periodicity in the rotation direction of their rotating units, (d) random rotation of their rotation units, and (e) non‐rotation of units. Results from this analogy identification place auxetic models in a systematic representation and will enrich future development of auxetic models, particularly those that do not fall within these five clusters. It is proposed that future work includes 3D auxetic models as well as ordering of analogous auxetic models according to their joints or linkage geometries.

Từ khóa


Tài liệu tham khảo

Love A. E. H., 1944, The Mathematical Theory of Elasticity

L. J.Gibson The elastic and plastic behaviour of cellular materials Doctoral thesis University of Cambridge Churchill College (1981).

10.1098/rspa.1982.0087

10.1098/rspa.1982.0088

Landau L. D., 1959, Theory of Elasticity

Fung Y. C., 1965, Foundations of Solid Mechanics

10.1115/1.2042483

10.1093/qjmamj/hbh021

Wojciechowski K. W., 1995, Mol. Phys. Rep, 10, 129

10.1143/JPSJ.72.1819

10.1007/BF00042531

10.1080/00268978700101761

10.1016/0375-9601(89)90971-7

10.1088/0305-4470/36/47/005

10.1103/PhysRevE.67.036121

10.1103/PhysRevA.40.7222

10.1126/science.235.4792.1038

10.1126/science.238.4826.551-a

10.1007/BF00551939

10.1088/0022-3727/22/12/012

10.1088/0022-3727/22/12/013

10.1016/0160-9327(91)90123-S

10.1002/adma.19930050416

Alderson A., 1999, Chem. Ind, 10, 384

10.1002/(SICI)1521-4095(200005)12:9<617::AID-ADMA617>3.0.CO;2-3

10.1023/B:JMSC.0000026928.93231.e0

10.1243/09544100JAERO185

Liu Y., 2010, Sci. Res. Essays, 5, 1052

10.1038/nmat3134

10.1016/j.commatsci.2012.02.012

10.1002/pssb.201248550

Darja R., 2013, Acta Chim. Slov, 60, 715

10.5545/sv-jme.2016.3656

10.1063/1.4964479

10.1002/adem.201600053

10.1007/978-981-287-275-3

10.1002/pssb.201670549

10.1023/A:1006781224002

10.1002/adma.201304464

Gibson L. J., 1988, Cellular Solids: Structure and Properties

10.1002/pssb.200572706

10.1016/S1359-6454(00)00269-X

10.1016/j.actamat.2005.02.006

10.1002/adem.201600609

10.1016/j.compscitech.2009.07.010

10.1016/j.ijsolstr.2012.12.004

10.1039/b505839b

10.1038/srep18373

10.1002/adma.201404106

10.1002/pssb.200777704

10.1109/84.585787

10.1007/s004190050117

10.1080/08927020500401139

10.1002/pssb.201384237

10.1021/ma970787m

10.1002/pssb.200460393

10.1002/adma.200901956

10.1039/c3sm51148k

10.1098/rspa.2013.0856

10.1038/srep18306

10.1002/pssb.200460390

10.1243/PIME_PROC_1963_177_018_02

10.1007/s10853-007-1583-0

10.1002/adma.201603959

10.1063/1.461966

10.1038/353124a0

10.1177/002199839502900106

10.1007/BF00349875

10.1023/A:1018660130501

10.1007/s10853-010-4846-0

10.1007/s10853-006-6339-8

10.1007/s002690100209

10.1002/pssb.201451732

10.1016/S0020-7403(96)00025-2

10.1016/j.wavemoti.2009.04.002

10.1016/j.jmps.2011.09.012

10.1088/0964-1726/25/5/054005

10.1002/adma.201301986

10.1002/pssb.201600015

10.1002/pssb.201384256

10.1088/0964-1726/25/5/054002

10.1143/JPSJ.69.2702

10.1080/00150190701260660

10.1016/0022-5096(92)90063-8

10.1177/002199838401800504

10.1177/002199838802200703

10.1177/073168449901801701

10.1177/002199839903301904

10.1177/0731684403022001489

10.1177/0021998304038645

10.1177/0021998305051112

10.1016/j.compstruct.2013.06.009

10.1002/pssb.201552024

10.1002/pssb.201600140

10.1002/pssb.201600212

10.1002/pssr.201600119

10.1016/j.compositesb.2016.03.003

10.1088/0964-1726/25/5/054007

10.1002/pssb.201600120

10.1002/pssb.201552192

Thông tin
Thông tin xuất bản

Physica Status Solidi - Rapid Research Letters

Tập 11 Số 6

Thông tin tác giả