Symmetry detection of auxetic behaviour in 2D frameworks
Mitschke H, Schröder-Turk G, Mecke K, Fowler PW, Guest SD (2013)
Publication Status: Published
Publication Type: Journal article
Publication year: 2013
Journal
Publisher: EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
Book Volume: 102
Journal Issue: 6
DOI: 10.1209/0295-5075/102/66005
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. Copyright (c) EPLA, 2013
Authors with CRIS profile
Holger Mitschke
Lehrstuhl für Theoretische Physik
Gerd Schröder-Turk
Professur für Theoretische Physik
Klaus Mecke
Lehrstuhl für Theoretische Physik
Additional Organisation(s)
Involved external institutions
United Kingdom (GB)How to cite
APA:
Mitschke, H., Schröder-Turk, G., Mecke, K., Fowler, P.W., & Guest, S.D. (2013). Symmetry detection of auxetic behaviour in 2D frameworks. EPL - Europhysics Letters, 102(6). https://doi.org/10.1209/0295-5075/102/66005
MLA:
Mitschke, Holger, et al. "Symmetry detection of auxetic behaviour in 2D frameworks." EPL - Europhysics Letters 102.6 (2013).
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