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We propose that wave propagation through a class of mechanical metamaterials opens unprecedented avenues in seismic wave protection based on spectral properties of auxetic-like metamaterials. The elastic parameters of these metamaterials…

Classical Physics · Physics 2016-01-18 Bogdan Ungureanu , Younes Achaoui , Stefan Enoch , Stéphane Brûlé , Sébastien Guenneau

Topological mechanical metamaterials have enabled new ways to control stress and deformation propagation. Exemplified by Maxwell lattices, they have been studied extensively using a linearized formalism. Herein, we study a two-dimensional…

Topological states of quantum matter exhibit unique disorder-immune surface states protected by underlying nontrivial topological invariants of the bulk. Such immunity from backscattering makes topological surface or edge states ideal…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 S. Hossein Mousavi , Alexander B. Khanikaev , Zheng Wang

The field of topological mechanics has recently emerged due to the interest in robustly transporting various types of energy in a flaw and defect-insensitive fashion. While there have been a significant number of studies based on…

Materials Science · Physics 2021-12-08 Jin-Wu Jiang , Harold S. Park

Topological insulators, which allow edge or interface waves but forbid bulk waves, have revolutionized our scientific cognition of acoustic/elastic systems. Due to their nontrivial topological characteristics, edge (interface)waves are…

Applied Physics · Physics 2021-04-28 Weijian Zhou , Weiqiu Chen , Michel Destrade , C. W. Lim

The investigation of topologically protected waves in classical media has opened unique opportunities to achieve exotic properties like one-way phonon transport, protection from backscattering and immunity to imperfections. Contrary to…

Applied Physics · Physics 2018-09-26 M. Miniaci , R. K. Pal , B. Morvan , M. Ruzzene

Photonic structures with topologically nontrivial bands are usually designed by arranging simple meta-atoms, ideally, single-mode ones, in a carefully designed photonic lattice with symmetry that guarantees the emergence of topological…

Optics · Physics 2020-10-21 Roman S. Savelev , Maxim A. Gorlach

We prove the possibility of achieving unidirectional edge modes in time-modulated supercell structures. Such finite structures consist of two trimers repeated periodically. Because of their symmetry, they admit degenerate edge eigenspaces.…

Analysis of PDEs · Mathematics 2022-05-23 Habib Ammari , Jinghao Cao

Topological mechanical metamaterials are artificial structures whose unusual properties are protected very much like their electronic and optical counterparts. Here, we present an experimental and theoretical study of an active metamaterial…

Soft Condensed Matter · Physics 2015-12-08 Lisa M. Nash , Dustin Kleckner , Alismari Read , Vincenzo Vitelli , Ari M. Turner , William T. M. Irvine

Multi-stable mechanical structures find cutting-edge applications across various domains due to their reconfigurability, which offers innovative possibilities for engineering and technology advancements. This study explores the emergence of…

Applied Physics · Physics 2024-02-13 Zhen Wang , Feiyang Sun , Xiaodong Xu , Xin Li , Chuanqing Chen , Minghui Lu

We report on the experimental observation of topologically protected edge waves in a two-dimensional elastic hexagonal lattice. The lattice is designed to feature K point Dirac cones that are well separated from the other numerous elastic…

Materials Science · Physics 2017-10-25 Javier Vila , Raj K. Pal , Massimo Ruzzene

A novel computational framework for designing metamaterials with negative Poisson's ratio over a large strain range is presented in this work by combining the density-based topology optimization together with a mixed stress/deformation…

Computational Engineering, Finance, and Science · Computer Science 2019-07-31 Guodong Zhang , Kapil Khandelwal

Photonic topological insulators (PTIs) have been widely studied due to the robustness of energy transport via supported edge modes immune to structural disorder. In this work, a topological gap waveguide is constructed by introducing line…

Applied Physics · Physics 2023-10-05 Yan Ren , Hai Lin , Rui Zhou , Xintong Shi , Jing Jin , Y. Liu

We investigate symmetry-protected topological water waves within a strategically engineered square lattice system. Thus far, symmetry-protected topological modes in hexagonal systems have primarily been studied in electromagnetism and…

Flexible mechanical metamaterials are compliant structures engineered to achieve unique properties via the large deformation of their components. While their static character has been studied extensively, the study of their dynamic…

Applied Physics · Physics 2023-02-22 Bolei Deng , Jordan R. Raney , Katia Bertoldi , Vincent Tournat

This study theoretically and experimentally investigates the transmission properties of a metamaterial slab comprised of two layers of metallic fish-scale structure arrays and a sandwiched dielectric layer. Calculations show that the…

A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler

Wave scattering structures with amplification and dissipation can be modelled by non-Hermitian systems, opening new ways to control waves at small length scales. In this work, we study the phenomenon of topologically protected edge states…

Analysis of PDEs · Mathematics 2020-06-11 Habib Ammari , Erik Orvehed Hiltunen

Topological metamaterials unlock confined and robust elastic wave control in mechanical structures. Recent breakthroughs have precipitated the development of 3D topological mechanical metamaterials, which extend beyond the conventional 1D…

Applied Physics · Physics 2023-10-30 Patrick Dorin , Mustafa Khan , K. W. Wang

Recent progress in topological mechanics have revealed a family of Maxwell lattices that exhibit topologically protected floppy edge modes. These modes lead to a strongly asymmetric elastic wave response. In this paper, we show how…

Soft Condensed Matter · Physics 2020-04-01 Di Zhou , Jihong Ma , Kai Sun , Stefano Gonella , Xiaoming Mao