Band Gap Analysis for Materials with Cookie-Shaped Auxetic Microstructures, Using Finite Elements

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. Microstructures, 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.

Automated summary

This study utilizes finite element numerical models to discover and analyze the band gaps that occur in a material with cookie-shaped auxetic microstructures. The advantage of these microstructures lies in their production and fatigue resistance.