Journal article
Symmetry detection of auxetic behaviour in 2D frameworks
Europhysics Letters, Vol.102(6)
2013
Abstract
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.
Details
- Title
- Symmetry detection of auxetic behaviour in 2D frameworks
- Authors/Creators
- H. Mitschke (Author/Creator)G.E. Schröder-Turk (Author/Creator)K. Mecke (Author/Creator)P.W. Fowler (Author/Creator)S.D. Guest (Author/Creator)
- Publication Details
- Europhysics Letters, Vol.102(6)
- Publisher
- IOP Science
- Number of pages
- 6
- Identifiers
- 991005545538107891
- Copyright
- EPLA, 2013
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- 7 Engineering & Materials Science
- 7.63 Mechanics
- 7.63.980 Impact-Resistant Structures
- Web Of Science research areas
- Physics, Multidisciplinary
- ESI research areas
- Physics