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We develop a dynamical effective medium theory to accurately predict the unusual properties of elastic metamaterials in two dimensions near the resonant frequencies. The theory shows that the effective bulk modulus, shear modulus, and mass…

Materials Science · Physics 2007-07-10 Ying Wu , Yun Lai , Zhao-Qing Zhang

The analysis of the secondary Bjerknes force between two bubbles suggests that this force is analogous to the electrostatic forces. The same analogy is suggested by the existence of a scattering cross section of an acoustic wave on a…

General Physics · Physics 2023-05-11 Ion Simaciu , Zoltan Borsos , Gheorghe Dumitrescu , Glauber T. Silva , Tiberiu Bărbat

The paper deals with the interaction between buckling and resonance instabilities of mechanical systems. Taking into account the effect of geometric nonlinearity in the equations of motion through the geometric stiffness matrix, the problem…

Exactly Solvable and Integrable Systems · Physics 2008-02-07 Alberto Carpinteri , Marco Paggi

We study interior control of the acoustic wave equation via effective point sources generated by a finite cluster of resonant perturbations (modeling acoustic subwavelength bubbles). At the abstract level, after localizing the whole-space…

Analysis of PDEs · Mathematics 2026-05-26 Arpan Mukherjee , Mourad Sini

Space-time-varying materials pledge to deliver nonreciprocal dispersion in linear systems by inducing an artificial momentum bias. Although such a paradigm eliminates the need for actual motion of the medium, experimental realization of…

Applied Physics · Physics 2020-02-18 M. A. Attarzadeh , J. Callanan , M. Nouh

Thin low-frequency acoustic absorbers that are economical to produce in large quantities are scarce, and their efficiency is often limited to a narrow frequency range. In this paper, we present opportunities to use highly porous mineral…

Fluid Dynamics · Physics 2024-12-18 Bart Van Damme , Théo Cavalieri , Cong-Truc Nguyen , Camille Perrot

We extend effective medium theory (EMT) to time-modulated, frequency-dispersive acoustic metamaterials with multiple resonances. While previous studies focused on non-dispersive or single-resonance systems, advances in programmable…

Applied Physics · Physics 2025-05-12 Xinghong Zhu , Hong-Wei Wu , Jensen Li

In this work, a recent theoretically predicted phenomenon of enhanced permittivity with electromagnetic waves using lossy materials is investigated for t he analogous case of mass density and acoustic waves, which represents inertial…

Materials Science · Physics 2014-09-19 Matthew D. Guild , Victor M. Garcia-Chocano , Weiwei Kan , Jose Sanchez-Dehesa

We derive a general theory of effective properties in metasolids based on phononic crystals with low frequency resonances. We demonstrate that in general these structures need to be described by means of a frequency-dependent and non-local…

Materials Science · Physics 2015-12-09 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

Experiments on generation of 1, 2, 4, and 6 sonoluminescent bubbles in water with an external ultrasound source in an acoustic sphere resonator with glass walls have been carried out. Theoretical examination has shown that the observed…

Fluid Dynamics · Physics 2007-05-23 V. B. Belyaev , B. F. Kostenko , M. B. Miller , A. V. Sermyagin

When placed onto a vibrating liquid bath, a droplet may adopt a permanent bouncing behavior, depending on both the forcing frequency and the forcing amplitude. The relationship between the droplet deformations and the bouncing mechanism is…

Soft Condensed Matter · Physics 2015-06-18 M. Hubert , D. Robert , H. Caps , S. Dorbolo , N. Vandewalle

This work presents a multiple scattering formulation of two dimensional acoustic metamaterials. It is shown that in the low frequency limit multiple scattering allows us to define frequency-dependent effective acoustic parameters for arrays…

Materials Science · Physics 2015-05-28 Daniel Torrent , José Sánchez-Dehesa

Multiple scattering of wave in strong heterogeneity can cause resonance-like wave anomaly where the signal exhibits low-frequency, high intensity, and slowly propagating wave packet velocity. For example, long period event in volcanic…

Classical Physics · Physics 2019-12-19 Yinbin Liu

Understanding the ultrasound pressure-driven dynamics of microbubbles confined in viscoelastic materials is relevant for multiple biomedical applications, ranging from contrast-enhanced ultrasound imaging to ultrasound-assisted drug…

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

Single-beam acoustical tweezers are used to manipulate individual microbubbles and provide quantitative measurements of the local shear modulus of soft hydrogels. The microbubbles are directly generated by electrolysis of the hydrogel and…

Soft Condensed Matter · Physics 2025-06-04 Antoine Penneron , Thomas Brunet , Diego Baresch

The outcome of this paper was a shape of the interaction of two oscillating bubbles. This was done to express the secondary Bjerknes force using the Maxwell equations for a liquid. These subsequent equations were written for the quantities…

General Physics · Physics 2024-03-20 Ion Simaciu , Gheorghe Dumitrescu , Zoltan Borsos , Viorel Drafta

This paper presents a simple ball-and-spring model for the propagation of small amplitude vibrations in a granular material. In this model, the positional disorder in the sample is ignored and the particles are placed on the vertices of a…

Condensed Matter · Physics 2009-10-22 Michael Leibig

In these fluid dynamics videos, we show how bubbles flowing in a thin microchannel interact under an acoustic field. Because of acoustic interactions without direct contact, bubbles self-organize into periodic patterns, and spontaneously…

Fluid Dynamics · Physics 2010-10-18 P. Marmottant , D. Rabaud , P. Thibault , M. Mathieu

Contact-based vibrations play a critical role in the dynamics of granular materials. Significant insights into vibrational granular dynamics have been obtained with reduced-dimensional systems containing macroscale particles. We study…

Mesoscale and Nanoscale Physics · Physics 2016-05-18 Morgan Hiraiwa , Maroun Abi Ghanem , Samuel P. Wallen , Amey Khanolkar , Alexei A. Maznev , Nicholas Boechler
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