CUED Publications database

Symmetry detection of auxetic behaviour in 2D frameworks

Mitschke, H and Schröder-Turk, GE and Mecke, K and Fowler, PW and Guest, SD (2013) Symmetry detection of auxetic behaviour in 2D frameworks. EPL, 102. ISSN 0295-5075

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A symmetry-extended Maxwell treatment of the net mobility of periodic bar-and-joint frameworks is used to derive a sufficient condition for auxetic behaviour of a 2D material. The type of auxetic behaviour that can be detected by symmetry has Poisson's ratio -1, with equal expansion/contraction in all directions, and is here termed equiauxetic. A framework may have a symmetry-detectable equiauxetic mechanism if it belongs to a plane group that includes rotational axes of order n = 6, 4, or 3. If the reducible representation for the net mobility contains mechanisms that preserve full rotational symmetry (A modes), these are equiauxetic. In addition, for n = 6, mechanisms that halve rotational symmetry (B modes) are also equiauxetic. © EPLA, 2013.

Item Type: Article
Divisions: Div D > Structures
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:14
Last Modified: 13 Apr 2021 08:38
DOI: 10.1209/0295-5075/102/66005