Journal article
Finding auxetic frameworks in periodic tessellations
Advanced Materials Research, Vol.23(22-23), pp.2669-2674
2011
Abstract
It appears that most models for micro-structured materials with auxetic deformations were found by clever intuition, possibly combined with optimization tools, rather than by systematic searches of existing structure archives. Here we review our recent approach of finding micro-structured materials with auxetic mechanisms within the vast repositories of planar tessellations. This approach has produced two previously unknown auxetic mechanisms, which have Poisson's ratio νss = -1 when realized as a skeletal structure of stiff incompressible struts pivoting freely at common vertices. One of these, baptized Triangle-Square Wheels, has been produced as a linear-elastic cellular structure from Ti-6Al-4V alloy by selective electron beam melting. Its linear-elastic properties were measured by tensile experiments and yield an effective Poisson's ratio νLE ≈ -0.75, also in agreement with finite element modeling. The similarity between the Poisson's ratios νSS of the skeletal structure and νLE of the linear-elastic cellular structure emphasizes the fundamental role of geometry for deformation behavior, regardless of the mechanical details of the system. The approach of exploiting structure archives as candidate geometries for auxetic materials also applies to spatial networks and tessellations and can aid the quest for inherently three-dimensional auxetic mechanisms.
Details
- Title
- Finding auxetic frameworks in periodic tessellations
- Authors/Creators
- H. Mitschke (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergJ. Schwerdtfeger (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergF. Schury (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergM. Stingl (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergC. Körner (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergR.F. Singer (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergV. Robins (Author/Creator) - Australian National UniversityK. Mecke (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergG.E. Schröder-Turk (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
- Publication Details
- Advanced Materials Research, Vol.23(22-23), pp.2669-2674
- Publisher
- trans tech publications
- Identifiers
- 991005546327807891
- Copyright
- © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- Domestic collaboration
- International collaboration
- Citation topics
- 7 Engineering & Materials Science
- 7.63 Mechanics
- 7.63.980 Impact-Resistant Structures
- Web Of Science research areas
- Chemistry, Multidisciplinary
- Chemistry, Physical
- Materials Science, Multidisciplinary
- Nanoscience & Nanotechnology
- Physics, Applied
- Physics, Condensed Matter
- ESI research areas
- Materials Science