Band gap analysis for materials with cookie-shaped auxetic microstructures, using finite elementsBand gap analysis for materials with cookie-shaped auxetic microstructures, using finite elements Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2025-02-212023enMicrostructures, including auxetic ones, influence the overall behavior of a material. Particularly during wave propagation, band gaps may appear. This study focuses on the discovery and analysis of the band gaps that occur in a material with auxetic microstructures of the cookie type, which have certain advantages with respect to production and fatigue resistance. Finite element analysis at a representative volume element, using Bloch theory, and verification with a plate made of microstructures at various assemblages has been used.Featured Application The production of materials with microstructures becomes feasible in view of additive manufacturing technology. Easily produced cookie-shaped auxetic microstructures are able to block the propagation of waves at specific frequencies, as is demonstrated here with extensive numerical models based on finite elements.http://creativecommons.org/licenses/by/4.0/Applied Sciences135Chinis_et_al_Appl. Sci._13(5)_2023.pdfChania [Greece]Library of TUC2025-02-21application/pdf4.9 MBfree Chinis Dimitrios Χηνης Δημητριος Stavroulakis Georgios Σταυρουλακης Γεωργιος MDPI Auxetic materials Band gap analysis Bloch theory Mechanical metamaterials Finite element applications