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Phononic Band Gaps in Periodic Cellular Materials

Authors

  • Yvonne Liebold-Ribeiro,

    1. Institute of Materials Science, Friedrich-Alexander-University of Erlangen-Nuremberg, Erlangen, Germany
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  • Carolin Körner

    Corresponding author
    1. Institute of Materials Science, Friedrich-Alexander-University of Erlangen-Nuremberg, Erlangen, Germany
    • Institute of Materials Science, Friedrich-Alexander-University of Erlangen-Nuremberg, Martensstraße 5, D-91058ErlangenGermany

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  • We would like to acknowledge the funding by the German Research Council (DFG) who, within the framework of its ‘Excellence Initiative’, supports the Cluster of Excellence ‘Engineering of Advanced Materials’ at the University of Erlangen-Nuremberg.

Abstract

The dynamic mechanical properties of finite two-dimensional periodic cellular materials are investigated by finite element eigenmode analysis for different architectures of the unit cell. Frequency band gaps are examined in quadratic and hexagonal lattice topologies with regular, inverted, and chiral architecture. Pronounced band gaps develop for chiral lattices. The formation of band gaps can be traced back to the resonance behavior of the elementary building blocks of the cellular structure for different boundary conditions (mode transition). Based on the findings of this work periodic lattice materials with specific band gaps can be designed.

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