论文标题
使用静态计算将扭曲超材料的弹性特性映射到微极连续体上
Mapping of Elastic Properties of Twisting Metamaterials onto Micropolar Continuum using Static Calculations
论文作者
论文摘要
超材料工程的最新发展带来了普通固体中不存在的无数令人着迷的机械性能。其中，扭曲的超材料，声学手性或Willis耦合是样本大小的依赖性。这项工作的目的首先是检查新的扭曲立方超材料的机械性能。然后，我们使用有限元方法在微观结构元素计算（分析模型）上对其扭曲行为进行了比较研究，并将其与Eringen微极连续体进行了比较。值得注意的是，这三个模型的结果具有良好的定性和定量协议。最后，为连续体和单位单元中具有不同大小的微观结构进行了分散关系的系统比较，作为完美映射的最终证明。
Recent developments in the engineering of metamaterials have brought forth a myriad of mesmerizing mechanical properties that do not exist in ordinary solids. Among these, twisting metamaterials, acoustical chirality, or Willis coupling are sample-size dependent. The purpose of this work is, first, to examine the mechanical performance of a new twisting cubic metamaterial. Then, we perform a comparative investigation of its twisting behavior using the finite element method on microstructure elements computation, an analytical model, and we compare them to Eringen micropolar continuum. Notably, the results of the three models are in good qualitative and quantitative agreements. Finally, a systematic comparison of dispersion relations was made for the continuum and for the microstructures with different sizes in unit cells as final proof of perfect mapping.
