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Phononic Band Gaps in Periodic Cellular Materials
Author(s) -
LieboldRibeiro Yvonne,
Körner Carolin
Publication year - 2014
Publication title -
advanced engineering materials
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 114
eISSN - 1527-2648
pISSN - 1438-1656
DOI - 10.1002/adem.201300064
Subject(s) - periodic boundary conditions , materials science , finite element method , band gap , lattice (music) , hexagonal crystal system , condensed matter physics , hexagonal lattice , boundary value problem , electronic band structure , quadratic equation , physics , structural engineering , optoelectronics , geometry , acoustics , mathematics , crystallography , quantum mechanics , engineering , chemistry , antiferromagnetism
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.