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General equations describing shear displacements in incompressible hyperelastic materials, holding for an arbitrary form of strain energy density function, are presented and applied to the description of nonlinear Love-type waves…

Exactly Solvable and Integrable Systems · Physics 2026-03-20 Shawn Samuel Carl McAdam , Samuel Opoku Agyemang , Alexei Cheviakov

This work begins by applying peridynamics and phase-field modeling to predict 1-d interface motion with inertia in an elastic solid with a non-monotone stress-strain response. In classical nonlinear elasticity, it is known that subsonic…

Analysis of PDEs · Mathematics 2021-11-24 Janel Chua , Vaibhav Agrawal , Timothy Breitzman , George Gazonas , Kaushik Dayal

The characterisation of the dynamic properties of viscoelastic monolayers of surfactants at the gasliquid interface is very important in the analysis and prediction of foam stability. With most of the relevant dynamic processes being rapid…

Vibro-Acoustic Modulation method for detection and characterization of various structural and material flaws has been actively researched for the last two decades. Most of the studies focused on detection and monitoring of macro-cracks…

Applied Physics · Physics 2020-11-02 Dimitri Donskoy , Dong Liu

In this letter, we provide an experimental demonstration of amplitude-dependent dispersion tuning of surface acoustic waves interacting with nonlinear resonators. Leveraging the similarity between the dispersion properties of plate edge…

Applied Physics · Physics 2023-09-06 Setare Hajarolasvadi , Paolo Celli , Brian L. Kim , Ahmed E. Elbanna , Chiara Daraio

In this paper, the effect of weak nonlinearities in 1D locally resonant metamaterials is investigated via the method of multiple scales. Commonly employed to the investigate the effect of weakly nonlinear interactions on the free wave…

Applied Physics · Physics 2018-12-17 P. B. Silva , M. J. Leamy , M. G. D. Geers , V. G. Kouznetsova

We consider longwave mode of the interface instability in the system comprising of two immiscible fluid layers. The fluids fill out plane horizontal cavity which is subjected to horizontal harmonic vibration. The analysis is performed…

patt-sol · Physics 2007-05-23 Mikhail V. Khenner , Dmitrii V. Lyubimov

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

The nonequilibrium process in dislocation dynamics and its relaxation to the metastable transition profile is crucial for understanding the plastic deformation caused by line defects in materials. In this paper, we consider the full…

Analysis of PDEs · Mathematics 2022-01-07 Yuan Gao , Jean-Michel Roquejoffre

Acoustic wave propagation through a homogeneous material embedded in an unbounded medium can be formulated as a boundary integral equation and accurately solved with the boundary element method. The computational efficiency deteriorates at…

Numerical Analysis · Mathematics 2024-02-21 Elwin van 't Wout

Nonequilibrium interfacial thermodynamics is formulated in the presence of surface reactions for the study of diffusiophoresis in isothermal systems. As a consequence of microreversibility and Onsager-Casimir reciprocal relations,…

Chemical Physics · Physics 2018-12-24 Pierre Gaspard , Raymond Kapral

The wave turbulence framework has proven to be an effective tool for analyzing certain features of nonlinear energy transfer in one-dimensional nonlinear chains. In this work, we extend this approach to the $\alpha$-FPUT problem when the…

Statistical Mechanics · Physics 2026-05-26 Lorenzo Migliorelli , Giovanni Dematteis , Sergio Chibbaro , Miguel Onorato

We apply the well-established theoretical method developed for geometrical nonlinearities of micro/nano-mechanical clamped beams to circular drums. The calculation is performed under the same hypotheses, the extra difficulty being to…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 D. Cattiaux , S. Kumar , X. Zhou , A. Fefferman , E. Collin

The acoustic wave-propagation without mean flow and heat flux can be described in terms of velocity and pressure by the compressible nonlinear Navier-Stokes equations, where boundary layers appear at walls due to the viscosity and a…

Analysis of PDEs · Mathematics 2017-01-10 Anastasia Thoens-Zueva , Kersten Schmidt , Adrien Semin

The purpose of this paper is to investigate experimental and numerical dynamic responses of a preloaded vibro-impacting Hertzian contact under sinusoidal excitation. Dynamic response under random excitation is analysed in the second part of…

Classical Physics · Physics 2016-08-14 Emmanuel Rigaud , Joël Perret-Liaudet

In recent years, a new method for experimental nonlinear modal analysis has been developed, which is based on the extended periodic motion concept. The method is well suited to experimentally obtain amplitude-dependent modal properties…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Maren Scheel

The flow in a Hele-Shaw cell with a time-increasing gap poses a unique shrinking interface problem. When the upper plate of the cell is lifted perpendicularly at a prescribed speed, the exterior less viscous fluid penetrates the interior…

Fluid Dynamics · Physics 2021-01-20 Meng Zhao , Zahra Niroobakhsh , John Lowengrub , Shuwang Li

The impact of lossy multi-layer structures on nonequilibrium atom-surface interactions is discussed. Specifically, the focus lies on a fully non-Markovian and nonequilibrium description of quantum friction, the fluctuation-induced drag…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Marty Oelschläger , Kurt Busch , Francesco Intravaia

We study the transient dynamics of a viscous liquid contained in a narrow gap between a rigid surface and a parallel elastic plate. The elastic plate is deformed due to an externally applied time-varying pressure-field. We model the…

Fluid Dynamics · Physics 2017-05-16 Arie Tulchinsky , Amir D. Gat

The non-smooth dynamics is investigated for an elastic planar metainterface composed by two layers of buckling elements, each one allowing motion on one side only. Through the analogy between buckling and unilateral contact and by assuming…

Classical Physics · Physics 2022-12-13 Nikolin Hima , Francesco D' Annibale , Francesco Dal Corso