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We study lightweight, elastic metamaterials consisting of tensegrity-inspired prisms, which present wide, low-frequency band gaps. For their realization, we alternate tensegrity elements with solid discs in periodic arrangements that we…

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

In this paper gradient based topology optimization (TO) is used to discover 3-D phononic structures that exhibit ultra-wide normalized all-angle all-mode band gaps. The challenging computational task of repeated 3-D phononic band-structure…

Materials Science · Physics 2017-01-27 Yan Lu , Yang Yang , James K. Guest , Ankit Srivastava

Inspired by [25], this paper investigates subwavelength bandgaps in phononic crystals consisting of periodically arranged hard elastic materials embedded in a soft elastic background medium. Our contributions are threefold. First, we…

Analysis of PDEs · Mathematics 2025-03-28 Yuanchun Ren , Bochao Chen , Yixian Gao , Peijun Li

We present graphic results with high-levels of abstraction to desribe the basic principles and rules of thumb for acoustic or phononic band-gap engineering. We use these rules for developing an improved machien mount for damping acoustic…

Materials Science · Physics 2007-08-28 E. A. Rietman , J. M. Glynn

Gels of semi-flexible polymers, network glasses made of low valence elements, softly compressed ellipses and dense suspensions under flow are examples of floppy materials. These systems present collective motions with almost no restoring…

Statistical Mechanics · Physics 2014-03-21 Gustavo Düring , Edan Lerner , Matthieu Wyart

By using two ab initio numerical methods we study the effects that disorder has on the spectral gaps and on wave localization in two-dimensional photonic band gap materials. We find that there are basically two different responses depending…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Lidorikis , M. M. Sigalas , C. M. Soukoulis , E. N. Economou

Mitigating low-frequency vibration or noise is of vital importance to both human health and mechanical engineering. Two-dimensional phononic crystal (PC) structures were proposed by attaching rubber and metallic cylinders on one or both…

Applied Physics · Physics 2025-06-26 Hao Zhu , Kai Zhao

We reveal the unique and fundamental advantage of inerter-based elastic metamaterials by a comparative study among different configurations. When the embedded inerter is connected to the matrix material on both ends, the metamaterial shows…

Applied Physics · Physics 2022-11-15 Faisal Jamil , Fei Chen , Bolei Deng , Robert G. Parker , Pai Wang

In the field of phononics, periodic patterning controls vibrations and thereby the flow of heat and sound in matter. Bandgaps arising in such phononic crystals realize low-dissipation vibrational modes and enable applications towards…

Mesoscale and Nanoscale Physics · Physics 2021-02-26 Jan N. Kirchhof , Kristina Weinel , Sebastian Heeg , Victor Deinhart , Sviatoslav Kovalchuk , Katja Hoeflich , Kirill I. Bolotin

The paper develops a new integral micromorphic elastic continuum model, which can describe dispersion properties of band-gap metamaterials, i.e., metamaterials that inhibit propagation of waves in a certain frequency range. The enrichment…

Applied Physics · Physics 2024-10-21 Michal Šmejkal , Milan Jirásek , Martin Horák

The introduction of structural defects in otherwise periodic media is well known to grant exceptional space control and localization of waves in various physical fields, including elasticity. Despite the variety of designs proposed so far,…

Applied Physics · Physics 2021-11-18 Marco Miniaci , Florian Allein , Raj Kumar Pal

We investigate the dynamic behavior of lattices with disorder introduced through non-local network connections. Inspired by the Watts-Strogatz small-world model, we employ a single parameter to determine the probability of local connections…

Applied Physics · Physics 2022-07-27 Matheus I. N. Rosa , Massimo Ruzzene

In this paper, we present a unit cell showing a band-gap in the lower acoustic domain. The corresponding metamaterial is made up of a periodic arrangement of this unit cell. We rigorously show that the relaxed micromorphic model can be used…

Applied Physics · Physics 2022-09-07 F. Demore , G. Rizzi , M. Collet , P. Neff , A. Madeo

Band structures encode electronic, optical, and acoustic properties of matter and can serve as an essential tool in material discovery and design. Dispersion anomalies -- sharp, non-standard features in the frequency-wavenumber relation --…

Applied Physics · Physics 2025-05-30 Mahmoud M. Samak , Osama R. Bilal

Stubbed plates, i.e., thin elastic sheets endowed with pillar-like resonators, display subwavelength, locally-resonant bandgaps that are primarily controlled by the intrinsic resonance properties of the pillars. In this work, we…

Materials Science · Physics 2020-06-30 Paolo Celli , Behrooz Yousefzadeh , Chiara Daraio , Stefano Gonella

Phononic crystals and metamaterials take advantage of pre-designed geometrical structures to sculpt elastic waves, controlling their dispersion using different mechanisms. These mechanisms revolve mostly around Bragg scattering (BS), local…

Applied Physics · Physics 2018-05-23 André Foehr , Osama R. Bilal , Sebastian D. Huber , Chiara Daraio

Using finite difference time domain and band structure computer simulations, we show that it is possible to construct optical cavities and waveguide architectures in hyperuniform disordered photonic solids that are unattainable in photonic…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 Marian Florescu , Salvatore Torquato , Paul Steinhardt

Complex periodic structures inherit spectral properties from the constituent parts of their unit cells, chiefly their spectral band gaps. Exploiting this intuitive principle, which is made precise in this work, means spectral features of…

Classical Analysis and ODEs · Mathematics 2024-01-15 Lucas Dunckley , Bryn Davies

In this paper we study and design quasi-2D optomechanical crystals, waveguides, and resonant cavities formed from patterned slabs. Two-dimensional periodicity allows for in-plane pseudo-bandgaps in frequency where resonant optical and…

Optics · Physics 2010-11-23 Amir H. Safavi-Naeini , Oskar Painter