Reprogramming Static Deformation Patterns in Mechanical Metamaterials.
Reprogramming Static Deformation Patterns in Mechanical Metamaterials.
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DOI：
10.3390/ma11102050
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发表时间：
2018-10-20
期刊：
影响因子：
--
通讯作者：
Karpov EG
中科院分区：
文献类型：
--
作者：
Danso LA;Karpov EG
本文讨论了一种X-支撑的超材料晶格，它具有在变形衰减谱中表现出带隙的不寻常特性，因此具有重新编程变形模式的能力。本文还介绍了系统传输矩阵重零特征值情况下的极化非局域晶格的设计。我们发展了一个单模态的基本解，每个节点具有多个自由度的静态罗利波的形式。当用带隙的极化矢量构造解时，这些波可以在材料边界处被阻挡。该单模态解被用作建立任何应用的本质和自然边界条件的解析位移解的基础。随后，我们解决的带隙设计，导致一个全面的方法来预测内部的X-支撑平面晶格的变形模式的行为。总体而言，我们表明，刚度参数和单元格的纵横比的x-支撑晶格可以调整到完全块或过滤静态边界变形，并扭转变形或应变能衰减参数的依赖性的罗利波数，一种行为被称为反向圣维南的边缘效应（RSV）。这些发现可以指导未来的研究在工程智能材料和结构有趣的功能，如载荷模式识别，应变能重新分配，应力缓解。
This paper discusses an x-braced metamaterial lattice with the unusual property of exhibiting bandgaps in their deformation decay spectrum, and, hence, the capacity for reprogramming deformation patterns. The design of polarizing non-local lattice arising from the scenario of repeated zero eigenvalues of a system transfer matrix is also introduced. We develop a single mode fundamental solution for lattices with multiple degrees of freedom per node in the form of static Raleigh waves. These waves can be blocked at the material boundary when the solution is constructed with the polarization vectors of the bandgap. This single mode solution is used as a basis to build analytical displacement solutions for any applied essential and natural boundary condition. Subsequently, we address the bandgap design, leading to a comprehensive approach for predicting deformation pattern behavior within the interior of an x-braced plane lattice. Overall, we show that the stiffness parameter and unit-cell aspect ratio of the x-braced lattice can be tuned to completely block or filter static boundary deformations, and to reverse the dependence of deformation or strain energy decay parameter on the Raleigh wavenumber, a behavior known as the reverse Saint Venant’s edge effect (RSV). These findings could guide future research in engineering smart materials and structures with interesting functionalities, such as load pattern recognition, strain energy redistribution, and stress alleviation.
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影响因子：
3.7
作者：
Nilsson, Johan;Castro Neto, A. H.;Peres, N. M. R.
通讯作者：
Peres, N. M. R.
DOI：
10.1016/s0020-7403(02)00048-6
发表时间：
2002-07-01
影响因子：
7.3
作者：
Karpov, EG;Dorofeev, DL;Stephen, NG
通讯作者：
Stephen, NG
影响因子：
8.6
作者：
Pendry, JB;Holden, AJ;Youngs, I
通讯作者：
Youngs, I
影响因子：
8.6
作者：
Pendry, JB
通讯作者：
Pendry, JB
DOI：
10.1016/s0022-5096(03)00048-6
发表时间：
2003-08-01
影响因子：
5.3
作者：
Donev, A;Torquato, S
通讯作者：
Torquato, S