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The transmission of acoustic phonons is an important element in the design and performance of nano-mechanical devices operating in the mesoscopic limit. Analytic expressions for the power transmission coefficient, T, exist only in the…

Applied Physics · Physics 2019-03-27 John Bartlett , Karwan Rostem , Edward Wollack

We study the oscillation spectrum and acoustic properties of a liquid drop in the phase-separated fluid when the interfacial dynamics of phase conversion can be described in terms of the kinetic growth coefficient. For a readily mobile…

Soft Condensed Matter · Physics 2007-05-23 S. N. Burmistrov , T. Satoh

We present a novel approach for simulating acoustic (pressure) wave propagation across different media separated by a diffuse interface through the use of a weak compressibility formulation. Our method builds on our previous work on an…

Numerical Analysis · Mathematics 2025-11-11 Abbas Ballout , Oscar A. Marino , Gerasimos Ntoukas , Gonzalo Rubio , Esteban Ferrer

We investigate the elastic wave propagation in various hyperelastic materials which subjected to simple-shear deformation. Two compressible types of three conventional hyperelastic models are considered. We found pure elastic wave modes can…

Soft Condensed Matter · Physics 2017-04-13 Linli Chen , Zheng Chang , Taiyan Qin

We consider fundamental issues of the mathematical theory of the wave propagation in waveguides with inclusions. Analysis is performed in terms of a boundary eigenvalue problem for the Maxwell equations which is reduced to an eigenvalue…

Mathematical Physics · Physics 2012-09-25 Yury Smirnov , Yury Shestopalov

We report both experimentally and theoretically that the enhanced acoustic transmission can occur in the subwavelength region through a thin but stiff structured-plate without any opening. This exotic acoustic phenomenon is essentially…

Classical Physics · Physics 2011-04-22 Zhaojian He , Han Jia , Chunyin Qiu , Shasha Peng , Xuefei Mei , Feiyan Cai , Pai Peng , Manzhu Ke , Zhengyou Liu

In contrary to elastic media, it is easy to attain one-way coupling feature among electrical elements, which enables unidirectional transmission of electrical wave. In this paper, we explore and exploit the interaction of a piezoelectric…

Applied Physics · Physics 2021-04-09 Yisheng Zheng , Junxian Zhang , Yegao Qu , Guang Meng

In this paper we study the Cauchy problem for doubly dissipative elastic waves in two space dimensions, where the damping terms consist of two different friction or structural damping. We derive energy estimates and diffusion phenomena with…

Analysis of PDEs · Mathematics 2020-03-24 Wenhui Chen

We investigate the scattering of elastic waves off a disordered region described by a one-dimensional random-phase sine-Gordon model. The collective pinning results in an effective static disorder potential with universal and non-Gaussian…

Disordered Systems and Neural Networks · Physics 2021-07-01 Tsuyoshi Yamamoto , Leonid I. Glazman , Manuel Houzet

In this paper, we present the realization of an elastic metamaterial allowing independent tuning of negative density and stiffness for elastic waves propagating along a designated direction. In electromagnetic (or acoustic) metamaterials,…

Other Condensed Matter · Physics 2016-01-14 Joo Hwan Oh , Young Eui Kwon , Hyung Jin Lee , Yoon Young Kim

In thermoacoustic and photoacoustic tomography an electromagnetic wave is sent through a medium, heating it and therefore generating an elastic expansion that in turns generates an acoustic wave that is measured outside the medium. The…

Analysis of PDEs · Mathematics 2023-02-08 Yavar Kian , Gunther Uhlmann

We investigate the stabilization of a locally coupled wave equations with only one internal viscoelastic damping of Kelvin-Voigt type. The main novelty in this paper is that both the damping and the coupling coefficients are non smooth.…

Analysis of PDEs · Mathematics 2020-04-16 Mohammad Akil , Ibtissam Issa , Ali Wehbe

The challenge of achieving effective sound insulation using metamaterials persists in the field. In this research endeavor, a novel three-layer membrane-type acoustic metamaterial is introduced as a potential solution. Through the…

Applied Physics · Physics 2025-02-25 Jun Lan , Yumin Zhou , Xin Bu , Yifeng Li

The properties of crystals consisting of several components can be widely tuned. Often solid solutions are produced, where substitutional or interstitional disorder determines the crystal thermodynamic and mechanical properties. The…

Soft Condensed Matter · Physics 2019-10-30 Tadeus Ras , Michael Szafarczyk , Matthias Fuchs

This paper is concerned with the 2-dim two-phase interface Euler equation linearized at a pair of monotone shear flows in both fluids. We extend the Howard's Semicircle Theorem and study the eigenvalue distribution of the linearized Euler…

Analysis of PDEs · Mathematics 2022-08-25 Xiao Liu

It is discussed that the classical effective medium theory for the elastic properties of random heterogeneous materials is not congruous with the effective medium theory for the electrical conductivity. In particular, when describing the…

Materials Science · Physics 2020-02-17 Snarskii Andrei , Shamonin Mikhail , Yuskevich Pavel

Vibration attenuation has played a crucial role in engineering structure, wherein metamaterials have found escalated usage. These structures can be cleverly built to be lightweight and have negative mass properties, which can attenuate…

Classical Physics · Physics 2024-06-27 Arghya Mondal

The paper deals with three evolution problems arising in the physical modelling of acoustic phenomena of small amplitude in a fluid, bounded by a surface of extended reaction. The first one is the widely studied wave equation with acoustic…

Analysis of PDEs · Mathematics 2026-01-06 Enzo Vitillaro

Propagation of acoustic waves in an one-dimensional water duct containing many air filled blocks is studied by the transfer matrix formalism. Energy distribution and interface vibration of the air blocks are computed. For periodic…

Condensed Matter · Physics 2009-10-31 Pi-Gang Luan , Zhen Ye

The acoustic dispersion properties of monodimensional waveguide filters can be assessed by means of the simple prototypical mechanical system made of an infinite stack of periodic massive blocks, connected to each other by elastic joints.…

Applied Physics · Physics 2019-02-15 Andrea Bacigalupo , Luigi Gambarotta , Marco Lepidi , Francesca Vadalà