论文标题
创新的非材料的机械建模交替交替的五角星晶格和禁闭板
Mechanical modeling of innovative metamaterials alternating pentamode lattices and confinement plates
论文作者
论文摘要
这项研究检查了新型的机械超材料的机械行为交替交替使用五角星晶格和僵硬的板。此类晶格的晶胞由当前有关五角星材料的文献中分析的面部以立方体单元的脸部的子晶格组成。研究的系统仅在无穷小的拉伸主导的方向上显示出三种软变形模式，而不是五个无限制的五角星晶格的零能量模式。我们开发了用于垂直和弯曲刚度特性的分析公式，并研究了此类数量对主要设计参数的依赖性：晶格常数，固体体积分数，杆的横截面面积和层厚度。一个值得注意的结果是，分析结构的有效压缩模量等于文献中当前可用的最刚性的各向同性弹性网络的年轻模量的三分之二，并伴随着针对无限剪切和扭曲机制的零依据。通过对已经可用或正在开发的替代设备的响应进行比较，讨论了提议的超材料作为新型的地震隔离设备和冲击保护设备的使用。
This study examines the mechanical behavior of a novel class of mechanical metamaterials alternating pentamode lattices and stiffening plates. The unit cell of such lattices consists of a sub-lattice of the face cubic-centered unit cell typically analyzed in the current literature on pentamode materials. The studied systems exhibit only three soft deformation modes in the infinitesimal stretch-dominated regime, as opposed to the five zero-energy modes of unconfined pentamode lattices. We develop analytical formulae for the vertical and bending stiffness properties and study the dependence of such quantities on the main design parameters: the lattice constant, the solid volume fraction, the cross-section area of the rods, and the layer thickness. A noteworthy result is that the effective compression modulus of the analyzed structures is equal to two thirds of the Young modulus of the stiffest isotropic elastic networks currently available in the literature, being accompanied by zero-rigidity against infinitesimal shear and twisting mechanisms. The use of the proposed metamaterials as novel seismic-isolation devices and impact-protection equipment is discussed by drawing comparisons with the response of alternative devices already available or under development.
