Abstract

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.

摘要

具有尖锐凹角的星形拉胀结构在实践中受到高度应力。在本文中，通过引入周期性的饼干形图案设计了一种新型平面拉胀材料，以降低结构失效的风险。然后对拉胀和带隙特性进行了全面的数值研究。结果表明，应力水平显着降低了一个数量级。此外，所设计的结构可以在低得多的频率范围内产生较大的完全带隙，并具有良好的自准直效果。最后，参数分析允许人们定制具有最佳声学和机械性能的拉胀声子超材料。