论文标题
手性二维周期性块状材料，具有弹性界面：辅助和声学特性
Chiral two-dimensional periodic blocky materials with elastic interfaces: auxetic and acoustic properties
论文作者
论文摘要
这里有两个新型的手性块晶格拓扑，这是具有有趣的辅助和声学行为的构想。架构的手性材料由正方形或六角形刚性的周期性重复以及通过线性弹性界面连接的六角形刚性和重块组成，其手性是由于块相对于连接其质心的线的块相等旋转而产生的。派生了拉格朗日模型的管理方程，并配制了遗传学本本特征以获得频带结构。通过标准持续化方法分析得出等效的微极连续性，该方法与Bacigalupo和Gambarotta（2017）提出的程序一致，从中得出了频谱的近似值。此外，通过适当的冷凝程序以封闭形式获得了等效库奇连续体的总体弹性模量。进行了参数分析，该分析涉及Cauchy等效连续模型的整体弹性模量和频带结构的频率分析，以捕获手性角度的影响以及界面的切向刚度之间的比率。最后，它显示了手性和界面刚度如何影响强大的辅助性，以及等效的微极模型如何提供与当前的分散曲线在广泛的波矢量幅度方面非常吻合。
Two novel chiral block lattice topologies are here conceived having interesting auxetic and acoustic behavior. The architectured chiral material is made up of a periodic repetition of square or hexagonal rigid and heavy blocks connected by linear elastic interfaces, whose chirality results from an equal rotation of the blocks with respect to the line connecting their centroids. The governing equation of the Lagrangian model is derived and a hermitian eigenproblem is formulated to obtain the frequency band structure. An equivalent micropolar continuum is analytically derived through a standard continualization approach in agreement with the procedure proposed by Bacigalupo and Gambarotta (2017) from which an approximation of the frequency spectrum is derived. Moreover, the overall elastic moduli of the equivalent Cauchy continuum are obtained in closed form via a proper condensation procedure. The parametric analysis involving the overall elastic moduli of the Cauchy equivalent continuum model and the frequency band structure is carried out to catch the influence of the chirality angle and of the ratio between the tangential and normal stiffness of the interface. Finally, it is shown how chirality and interface stiffness may affect strong auxeticity and how the equivalent micropolar model provides dispersion curves in excellent agreement with the current ones for a wide range of the wave vector magnitude.
