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

Holger Mitschke, Jan Schwerdtfeger, Fabian Schury, Michael Stingl, Carolin Körner, Robert F. Singer, Vanessa Robins, Klaus Mecke, Gerd E. Schröder‐Turk

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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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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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Available 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

Key concepts: Auxetics, Materials science, Tessellation (computer graphics), Poisson distribution, Poisson's ratio, Composite material, Crystallography, Geometry

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