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Within periodic materials and structures, wave scattering and dispersion occur across constituent material interfaces leading to a banded frequency response. In an earlier paper, the elastodynamics of one-dimensional periodic materials and…

Materials Science · Physics 2023-12-19 M. I. Hussein , G. M. Hulbert , R. A. Scott

Manipulating elastic waves using a transformation approach is challenging due to the complex constitutive relationship. However, for flexural waves, approximated as scalar waves, two straightforward approaches emerge based on geometric…

Applied Physics · Physics 2023-07-27 Pengfei Zhao , Liyou Luo , Yongquan Liu , Jensen Li

The quest for wave channeling and manipulation has driven a strong research effort on topological and architected materials, capable of propagating localized electromagnetical or mechanical signals. With reference to an elastic structural…

Classical Physics · Physics 2019-02-20 G. Bordiga , L. Cabras , A. Piccolroaz , D. Bigoni

The propagation of intense acoustic waves in a one-dimensional phononic crystal is studied. The medium consists in a structured fluid, formed by a periodic array of fluid layers with alternating linear acoustic properties and quadratic…

Pattern Formation and Solitons · Physics 2016-10-18 Noé Jiménez , Ahmed Mehrem , Rubén Picó , Lluís M. García-Raffi , Víctor J. Sánchez-Morcillo

We investigate the gap in the single-electron spectrum of twisted bilayer graphene. In a perfect infinite lattice of a twisted bilayer, the gap varies exponentially in response to weak changes of the twist angle. Such a large sensitivity…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 A. V. Rozhkov , A. O. Sboychakov , A. L. Rakhmanov , Franco Nori

In this paper, we study wave transmission in a rotating fluid with multiple alternating convectively stable and unstable layers. We have discussed wave transmissions in two different circumstances: cases where the wave is propagative in…

Fluid Dynamics · Physics 2021-04-21 Tao Cai , Cong Yu , Xing Wei

Thin elastic sheets supported on compliant media form wrinkles under lateral compression. Since the lateral pressure is coupled to the sheet's deformation, varying it periodically in time creates a parametric excitation. We study the…

Soft Condensed Matter · Physics 2021-06-25 Haim Diamant

The nonlinear propagation of 3D wave-packets in a 1D Bragg-induced band-gap system, shows that tranverse effects (free space diffraction) affect the interplay of periodicity and nonlinearity, leading to the spontaneous formation of fast and…

Optics · Physics 2008-07-03 A. Di Falco , C. Conti , S. Trillo

Nonreciprocal wave propagation allows for directional energy transport. In this work, we systematically investigate wave dynamics in an elastic lattice that combines nonreciprocal stiffness with viscous damping. After establishing how…

Applied Physics · Physics 2026-02-03 Harshit Kumar Sandhu , Saurav Dutta , Rajesh Chaunsali

The thickness vibrations of a finitely deformed infinite periodic laminate made out of two layers of dielectric elastomers is studied. The laminate is pre-stretched by inducing a bias electric field perpendicular the the layers. Incremental…

Soft Condensed Matter · Physics 2015-06-03 Gal Shmuel , Gal deBotton

In this work, we investigate the dynamics and attenuation properties of a one-dimensional inertial amplified lattice with opposite chirality. The unit cell of the structure consists of a hollow-square plate connected to a ring through…

Spiral waves in two-dimensional excitable media have been observed experimentally and studied extensively. It is now well-known that the symmetry properties of the medium of propagation drives many of the dynamics and bifurcations which are…

Dynamical Systems · Mathematics 2014-04-15 Laurent Charette , Victor G. LeBlanc

Although metamaterials have been widely used for controlling elastic waves through bandgap engineering, the directed guidance of stress waves in non-periodic structures has remained a challenge. This work demonstrates that spatially graded…

Applied Physics · Physics 2023-10-20 Charles Dorn , Dennis M. Kochmann

Complex textured surfaces occur in nature and industry, from fingerprints to lithography-based micropatterns. Wrinkling by confinement to an incompatible substrate is an attractive way of generating reconfigurable patterned topographies,…

Soft Condensed Matter · Physics 2023-03-21 Ian Tobasco , Yousra Timounay , Desislava Todorova , Graham C. Leggat , Joseph D. Paulsen , Eleni Katifori

We have investigated the effect of twisting on electronic band structure, effective mass and carrier mobilities of three prototypes of AGNRs (N=6, 7 & 8) using Density functional theory combined with Deformation potential theory and…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Rajesh Thakur , P. K. Ahluwalia , Ashok Kumar , Brij Mohan , Raman Sharma

We theoretically study the effects of electron-electron interaction in twisted bilayer graphene in applied transverse dc electric field. When the twist angle is not very small, the electronic spectrum of the bilayer consists of four Dirac…

Strongly Correlated Electrons · Physics 2018-07-04 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

We introduce a complete physical model for the single-particle electronic structure of twisted bilayer graphene (tBLG), which incorporates the crucial role of lattice relaxation. Our model, based on $k \cdot p$ perturbation theory, combines…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Stephen Carr , Shiang Fang , Ziyan Zhu , Efthimios Kaxiras

We investigate experimentally the distribution of configurations of a ring with an elementary topological constraint, a ``figure-8'' twist. Using vibrated granular chains, which permit controlled preparation and direct observation of such a…

Soft Condensed Matter · Physics 2015-07-22 M. B. Hastings , Z. A. Daya , E. Ben-Naim , R. E. Ecke

We analyze the effect of twists on the electronic structure of configurations of infinite stacks of graphene layers. We focus on three different cases: an infinite stack where each layer is rotated with respect to the previous one by a…

Strongly Correlated Electrons · Physics 2019-11-26 Tommaso Cea , Niels R. Walet , Francisco Guinea

Advances in material architectures have enabled endowing materials with exotic attributes not commonly available in the conventional realm of mechanical engineering. Twisting, a mechanism whereby metamaterials are used to transform static…