A novel planar auxetic phononic crystal with periodic cookie-shaped cellular microstructures

The star-shaped auxetic structures with sharp reentrant corners are highly stressed in practice. In this article, a novel planar auxetic material is designed by introducing periodic cookie-shaped pattern to decrease the risk of structure failure. Then both auxetic and band gap properties are comprehensively investigated numerically. The results reveal that the stress level significantly decreases by an order of magnitude. Moreover, the designed structure can yield a large complete band gap in a much lower frequency region and has a good self-collimation effect. Finally, the parameter analysis allows one to tailor an auxetic phononic metamaterial with optimal acoustic and mechanical properties.

Automated summary

A novel planar auxetic material is designed in this study by introducing a periodic cookie-shaped pattern to reduce stress levels and create a complete band gap at lower frequencies. The designed structure features a self-collimation effect and parameter analysis can help tailor optimal acoustic and mechanical properties for auxetic phononic metamaterials.