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Finding auxetic frameworks in periodic tessellations.

Holger Mitschke, Jan Schwerdtfeger, Fabian Schury

    Advanced Materials (Deerfield Beach, Fla.)
    |August 9, 2011
    PubMed
    Summary
    This summary is machine-generated.

    Researchers discovered novel auxetic materials by systematically searching geometric patterns. This approach yielded new auxetic mechanisms, demonstrating the power of geometric design in materials science.

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    Area of Science:

    • Materials Science
    • Mechanics of Materials
    • Computational Materials Design

    Background:

    • Traditional auxetic material discovery relies on intuition and optimization, not systematic searches.
    • Vast repositories of planar tessellations offer untapped potential for novel auxetic mechanisms.

    Purpose of the Study:

    • To present a systematic approach for identifying auxetic materials from existing geometric structures.
    • To discover and validate new auxetic mechanisms through computational and experimental methods.

    Main Methods:

    • Systematic search of planar tessellations for auxetic mechanisms.
    • Realization of auxetic mechanisms as skeletal structures with free pivoting vertices.
    • Fabrication of a cellular structure using selective electron beam melting (SEBM).
    • Experimental measurement of linear-elastic properties via tensile testing.
    • Finite element modeling (FEM) for property validation.

    Main Results:

    • Identified two previously unknown auxetic mechanisms with a theoretical Poisson's ratio (νss) of -1.
    • Fabricated the 'Triangle-Square Wheels' auxetic structure from Ti-6Al-4V alloy.
    • Experimental results showed an effective linear-elastic Poisson's ratio (νLE) of approximately -0.75.
    • FEM simulations confirmed the experimental findings.
    • Demonstrated strong correlation between skeletal and cellular structure Poisson's ratios, highlighting geometric influence.

    Conclusions:

    • Geometric design is fundamental to auxetic deformation behavior, independent of specific material details.
    • Systematic exploration of structure archives is a viable strategy for discovering auxetic materials.
    • This geometric approach is extendable to spatial networks and can aid in finding 3D auxetic mechanisms.