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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

A new microscopic derivation of the elastic constants of amorphous solids is presented within the framework of nonaffine lattice dynamics, which makes use of a perturbative form of the low-frequency eigenvectors of the dynamical matrix…

Soft Condensed Matter · Physics 2024-08-06 Bingyu Cui , Giancarlo Ruocco , Alessio Zaccone

This article presents the experimental characterization of nonreciprocal elastic wave transmission in a single-mode elastic waveguide. This asymmetric system is obtained by coupling a selection layer with a conversion layer: the selection…

Classical Physics · Physics 2015-12-09 Thibaut Devaux , Vincent Tournat , Olivier Richoux , Vincent Pagneux

Using the density functional formalism we derive expression for the distortion free energy for systems with continuous broken symmetry and use it to derive expression for the elastic constants of smectic phases in which director is tilted…

Soft Condensed Matter · Physics 2009-11-07 Yashwant Singh , Jokhan Ram

According to a proposal of L\"uscher it is possible to determine elastic scattering phases in infinite volume from the energy spectrum of two-particle states in a periodic box. We demonstrate the applicability of this method in the broken…

High Energy Physics - Lattice · Physics 2009-10-22 Frank Zimmermann , Jörg Westphalen , Meinulf Göckeler , Hans A. Kastrup

Elastic wave propagation is intrinsically sensitive to the mechanical properties of the medium through which it travels. In soft elastomers, this makes guided elastic waves natural probes of viscoelastic and acoustoelastic behavior over a…

Soft Condensed Matter · Physics 2026-05-01 Samuel Croquette , Pierre Chantelot , Daniel A. Kiefer , Claire Prada , Fabrice Lemoult

A general nonlinear theory for the elasticity of pre-stressed single crystals is presented. Various types of elastic moduli are defined, their importance is determined, and relationships between them are presented. In particular, B moduli…

Materials Science · Physics 2022-01-05 Valery I. Levitas

Propagation of gravitational and acoustic plane waves in a flat universe filled with a general relativistic, homogeneous and isotropic, spatially flat continuum is studied. The continuum is described by analogues of nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vratko Polák , Vladimír Balek

Despite the fact that quantitative experimental data have been available for more than forty years now, nematoacoustics still poses intriguing theoretical and experimental problems. In this paper, we prove that the main observed features of…

Soft Condensed Matter · Physics 2014-05-13 Paolo Biscari , Antonio DiCarlo , Stefano S. Turzi

We consider the scattering of elastic waves by highly oscillating anisotropic periodic media with bounded support. Applying the two-scale homogenization, we first obtain a constant coefficient second-order partial differential elliptic…

Analysis of PDEs · Mathematics 2018-02-06 Yi-Hsuan Lin , Shixu Meng

We present a mechanism to explicitly couple the finite-difference discretizations of 2D acoustic and isotropic elastic wave systems that are separated by straight interfaces. Such coupled simulations allow the application of the elastic…

Computational Physics · Physics 2021-04-13 Longfei Gao , David Keyes

We study the reflection of an acoustic plane wave from a steadily sliding planar interface with velocity strengthening friction or a shear band in a confined granular medium. The corresponding acoustic impedance is utterly different from…

Condensed Matter · Physics 2009-11-10 C. Caroli , B. Velicky

Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the…

Statistical Mechanics · Physics 2022-06-02 Rudolf Haussmann

Thermodynamic framework of finite strain viscoelasticity with second order weak nonlocality in the deformation gradient is investigated. The application of Liu procedure leads to a class of third grade elastic materials where the second…

Soft Condensed Matter · Physics 2011-07-06 P. Ván , C. Papenfuss

We consider the simplest instabilities involving multiple unstable electrostatic plasma waves corresponding to four-dimensional systems of mode amplitude equations. In each case the coupled amplitude equations are derived up to third order…

patt-sol · Physics 2009-10-30 John David Crawford , Edgar Knobloch

We consider a model problem of the scattering of linear acoustic waves in free homogeneous space by an elastic solid. The stress tensor in the solid combines the effect of a linear dependence of strains with the influence of an existing…

Numerical Analysis · Mathematics 2018-04-23 Thomas S. Brown , Tonatiuh Sánchez-Vizuet , Francisco-Javier Sayas

Dispersion of acoustic plasmons and isotropic Landau parameters are calculated in three- and two-dimensional two-component electron-electron and electron-hole liquids at various concentration and mass ratios using Landau-Silin kinetic…

Mesoscale and Nanoscale Physics · Physics 2022-12-05 A. N. Afanasiev

Many materials of interest are polycrystals, i.e. aggregates of single crystals. Randomly distributed orientations of single crystals lead to macroscopically isotropic properties. Here, we briefly review strategies of calculating effective…

Materials Science · Physics 2017-10-17 Daniel N. Blaschke

In the present work, the overall nonlinear elastic behavior of a 1D multi-modular structure incorporating possible imperfections at the discrete (micro-scale) level, is derived with respect to both tensile and compressive applied loads. The…

Soft Condensed Matter · Physics 2019-04-10 S. Palumbo , L. Deseri , D. R. Owen , M. Fraldi

In this paper, we study the nonlinear stability of the composite wave consisting of planar rarefaction and planar contact waves for viscous conservation laws with degenerate flux under multi-dimensional periodic perturbations. To the level…

Analysis of PDEs · Mathematics 2023-02-15 Meichen Hou , Lingda Xu
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