Scattering of waves by three-dimensional obstacles in elastic metamaterials with zero index

2016 ◽  
Vol 94 (22) ◽  
Author(s):  
Fengming Liu ◽  
Feng Zhang ◽  
Wei Wei ◽  
Ni Hu ◽  
Gang Deng ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Elastic Metamaterials ◽  
Zero Index

scholarly journals Three-Dimensional Acoustic Double-Zero-Index Medium with a Fourfold Degenerate Dirac-like Point

2020 ◽  
Vol 124 (7) ◽  
Author(s):  
Changqing Xu ◽  
Guancong Ma ◽  
Ze-Guo Chen ◽  
Jie Luo ◽  
Jinjie Shi ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Double Zero ◽  
Zero Index

Anisotropic mass density by three-dimensional elastic metamaterials

2015 ◽  
Author(s):  
E. Gutiérrez-Reyes ◽  
J. Flores-Méndez ◽  
A. L. González ◽  
F. Pérez-Rodríguez
Keyword(s):  
Mass Density ◽  
Three Dimensional ◽  
Elastic Metamaterials ◽  
Anisotropic Mass Density

Three-Dimensional Anisotropic Zero-Index Lenses

2014 ◽  
Vol 62 (8) ◽  
pp. 4135-4142 ◽  
Author(s):  
Li Hua Yuan ◽  
Wen Xuan Tang ◽  
Hui Li ◽  
Qiang Cheng ◽  
Tie Jun Cui
Keyword(s):  
Three Dimensional ◽  
Zero Index

DIRAC DISPERSION AND ZERO-INDEX IN TWO DIMENSIONAL AND THREE DIMENSIONAL PHOTONIC AND PHONONIC SYSTEMS

2012 ◽  
Vol 44 ◽  
pp. 163-190 ◽  
Author(s):  
Che-Ting Chan ◽  
Xueqin Huang ◽  
Fengming Liu ◽  
Zhi Hong Hang
Keyword(s):  
Three Dimensional ◽  
Two Dimensional ◽  
Zero Index

scholarly journals Large characteristic lengths in 3D chiral elastic metamaterials

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Tobias Frenzel ◽  
Vincent Hahn ◽  
Patrick Ziemke ◽  
Jonathan Ludwig Günter Schneider ◽  
Yi Chen ◽  
...  
Keyword(s):  
Size Dependence ◽  
Characteristic Length ◽  
Axial Strain ◽  
Three Dimensional ◽  
Small Sample ◽  
Micropolar Continuum ◽  
Chiral Metamaterials ◽  
Mechanical Metamaterials ◽  
Unit Cells ◽  
Elastic Metamaterials

AbstractThree-dimensional (3D) chiral mechanical metamaterials enable behaviors not accessible in ordinary materials. In particular, a coupling between displacements and rotations can occur, which is symmetry-forbidden without chirality. In this work, we solve three open challenges of chiral metamaterials. First, we provide a simple analytical model, which we use to rationalize the design of the chiral characteristic length. Second, using rapid multi-photon multi-focus 3D laser microprinting, we manufacture samples with more than 105 micrometer-sized 3D chiral unit cells. This number surpasses previous work by more than two orders of magnitude. Third, using analytical and numerical modeling, we realize chiral characteristic lengths of the order of ten unit cells, changing the sample-size dependence qualitatively and quantitatively. In the small-sample limit, the twist per axial strain is initially proportional to the sample side length, reaching a maximum at the characteristic length. In the thermodynamic limit, the twist per axial strain is proportional to the square of the characteristic length. We show that chiral micropolar continuum elasticity can reproduce this behavior.

scholarly journals On three-dimensional dilational elastic metamaterials

2014 ◽  
Vol 16 (3) ◽  
pp. 033032 ◽  
Author(s):  
Tiemo Bückmann ◽  
Robert Schittny ◽  
Michael Thiel ◽  
Muamer Kadic ◽  
Graeme W Milton ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Elastic Metamaterials
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