Advanced Materials

AUXETIC TILINGS: Finding Auxetic Frameworks in Periodic Tessellations (Adv. Mater. 22–23/2011)

Authors

  • Holger Mitschke,

    1. Institut für Theoretische Physik, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstr. 7, 91058 Erlangen, Germany
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  • Jan Schwerdtfeger,

    1. Friedrich-Alexander Universität Erlangen-Nürnberg, Institute of Advanced Materials and Processes (ZMP), Dr.-Mack-Str. 81, 90762 Fürth, Germany
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  • Fabian Schury,

    1. Department Mathematik, Lehrstuhl Angewandte Mathematik II, Friedrich-Alexander Universität Erlangen-Nürnberg, Martenstr. 3, 91058 Erlangen, Germany
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  • Michael Stingl,

    1. Department Mathematik, Lehrstuhl Angewandte Mathematik II, Friedrich-Alexander Universität Erlangen-Nürnberg, Martenstr. 3, 91058 Erlangen, Germany
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  • Carolin Körner,

    1. Friedrich-Alexander Universität Erlangen-Nürnberg, Institute of Materials Science and Technology (WTM), Martensstr. 5, 91058 Erlangen, Germany
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  • Robert F. Singer,

    1. Friedrich-Alexander Universität Erlangen-Nürnberg, Institute of Materials Science and Technology (WTM), Martensstr. 5, 91058 Erlangen, Germany
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  • Vanessa Robins,

    1. Applied Maths, Research School of Physics, The Australian National University, Canberra, 0200 ACT, Australia
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  • Klaus Mecke,

    1. Institut für Theoretische Physik, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstr. 7, 91058 Erlangen, Germany
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  • Gerd E. Schröder-Turk

    Corresponding author
    1. Institut für Theoretische Physik, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstr. 7, 91058 Erlangen, Germany
    • Institut für Theoretische Physik, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstr. 7, 91058 Erlangen, Germany.
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Abstract

Micro-structured materials with a negative Poisson ratio are termed auxetic. In a Research News (p. 2669), Mitschke et al. demonstrate how the geometric analysis of periodic tessellations or tilings can help identify novel auxetic material designs. At least some of the tessellations that are auxetic in a “skeletal structure” model are also auxetic when realized as a linear-elastic cellular structure, produced for example by selective electron beam melting. ADMA23-22-23-Frontispice.indd 3 6/9/11 1:56:44 AM

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