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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

This is a review of theoretical results from the three-dimensional equations of anisotropic elasticity or linear piezoelectricity on waves and vibrations in quartz crystal plates. It covers both the classical results on acoustic wave…

Applied Physics · Physics 2023-06-02 Jiashi Yang

Although recent advances have made it possible to manipulate electromagnetic and acoustic wavefronts with sub-wavelength metasurface slabs, the design of elastodynamic counterparts remains challenging. We introduce a novel but simple design…

Applied Physics · Physics 2017-11-15 Xiaoshi Su , Zhaocheng Lu , Andrew N. Norris

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

Regarding lightweighting structures for aeronautics, automotive or construction applications, the level of performance of solutions proposed in terms of damping and isolation is fundamental. Hence multilayered plate appears as an…

Classical Physics · Physics 2012-10-22 Kerem Ege , Thibault Boncompagne , Bernard Laulagnet , Jean-Louis Guyader

We develop and study a 1D model for the acoustic wave propagation with two-phase physics and irreversible elastoplastic deformations in the rock matrix. We address the effect of the P-wave energy attenuation due to pore-scale plastic…

Geophysics · Physics 2018-10-23 Viktoriya Yarushina , Alexander Minakov

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel

The purpose of this paper is to present a new mathematical model for the dynamics of thin Cosserat elastic plates. Our approach, which is based on a generalization of the classical Reissner-Mindlin plate theory, takes into account the…

Mathematical Physics · Physics 2009-02-03 Lev Steinberg

The port-Hamiltonian formulation is a powerful method for modeling and interconnecting systems of different natures. In this paper, the port-Hamiltonian formulation in tensorial form of a thick plate described by the Mindlin-Reissner model…

Analysis of PDEs · Mathematics 2020-10-07 Andrea Brugnoli , Daniel Alazard , Valérie Pommier-Budinger , Denis Matignon

Metastructures are engineered systems composed of periodic arrays of identical components, called resonators, designed to achieve specific dynamic effects, such as creating a band gap-a frequency range where waves cannot propagate through…

Computational Engineering, Finance, and Science · Computer Science 2024-12-10 Patricio Peralta-Braz , Mehrisadat Makki Alamdari , Mahbub Hassan , Elena Atroshchenko

We theoretically study and experimentally report the propagation of nonlinear hysteretic torsional pulses in a vertical granular chain made of cm-scale, self-hanged magnetic beads. As predicted by contact mechanics, the torsional coupling…

Classical Physics · Physics 2015-08-05 J. Cabaret , P. Béquin , G. Theocharis , V. Andreev , V. E. Gusev , V. Tournat

Viscoelastic microfluidic devices are promising for various microscale procedures such as particle sorting and separation. In this study, we perform three dimensional computational investigation of a particle in a viscoelastic channel flow…

Fluid Dynamics · Physics 2019-10-29 Amir Hossein Raffiee , Arezoo M. Ardekani , Sadegh Dabiri

This article proposes a novel analytical model for the anisotropic multi-layer structures containing magnetically biased graphene sheets. The multi-layer structure is composed of various magnetic materials. An external magnetic field is…

The study of this theoretical work definitely adds extra four new dispersive shear-horizontal waves propagating in the transversely isotropic piezoelectromagnetic (PEM) plates of class 6 mm. In this study, the following mechanical,…

Classical Physics · Physics 2018-04-25 Aleksey Anatolievich Zakharenko

Fibre-reinforced elastomers are lightweight and strong materials that can sustain large deformations. When filled with magnetic particles, their effective mechanical response can be modified by an external magnetic field. In the present…

Soft Condensed Matter · Physics 2025-04-25 Harold Berjamin , Stephan Rudykh

In vivo measurement of the mechanical properties of thin-walled soft tissues (e.g., mitral valve, artery and bladder) and in situ mechanical characterization of thin-walled artificial soft biomaterials in service are of great challenge and…

Soft Condensed Matter · Physics 2020-09-02 Guo-Yang Li , Qiong He , Robert Mangan , Guoqiang Xu , Chi Mo , Jianwen Luo , Michel Destrade , Yanping Cao

We detail the application of bounding volume hierarchies to accelerate second-virial evaluations for arbitrary complex particles interacting through hard and soft finite-range potentials. This procedure, based on the construction of…

Soft Condensed Matter · Physics 2017-12-14 Maxime M. C. Tortora , Jonathan P. K. Doye

We study the attenuation of long-wavelength shear sound waves propagating through model jammed packings of frictionless soft spheres interacting with repulsive springs. The elastic attenuation coefficient, $\alpha(\omega)$, of transverse…

Disordered Systems and Neural Networks · Physics 2010-09-09 Vincenzo Vitelli

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

We explore interactions of elastic waves propagating in plates (with soil parameters) structured with concrete pillars buried in the soil. Pillars are 2 m in diameter, 30 m in depth and the plate is 50 m in thickness. We study the frequency…