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In this paper, the inherent gradient flow structures of thermo-poro-visco-elastic processes in porous media are examined for the first time. In the first part, a modelling framework is introduced aiming for describing such processes as…

Numerical Analysis · Mathematics 2019-11-27 Jakub Wiktor Both , Kundan Kumar , Jan Martin Nordbotten , Florin Adrian Radu

In this paper we apply both the procedure of dimension reduction and the incorporation of structured deformations to a three-dimensional continuum in the form of a thinning domain. We apply the two processes one after the other, exchanging…

Optimization and Control · Mathematics 2017-12-07 Graça Carita , José Matias , Marco Morandotti , David R. Owen

Discrete particle simulations are used to study the shear rheology of dense, stabilized, frictional particulate suspensions in a viscous liquid, toward development of a constitutive model for steady shear flows at arbitrary stress. These…

Soft Condensed Matter · Physics 2018-02-14 Abhinendra Singh , Romain Mari , Morton M. Denn , Jeffrey F. Morris

The inadequacy of the classical viscous damping model in capturing dissipation across a wide range of applications has led to the development of non-viscous damping models. While non-viscous models describe damping force satisfactorily,…

Soft Condensed Matter · Physics 2025-03-13 Soumya Kanti Ganguly , Indrajit Mukherjee

The focus in this paper is an analysis of existing state of the arts directed toward the development of the next generation of vibration damping systems. The research work concentrates on an investigation related to…

Materials Science · Physics 2007-08-15 M. -V. Kireitseu , G. Tomlinson , J. Lu , H. Altenbach , G. Rongong , L. -V. Bochkareva , D. Hui

We provide a rigorous justification of various kinetic regimes exhibited by the nonlinear Schr\"{o}dinger equation with an additive stochastic forcing and a viscous dissipation. The importance of such damped-driven models stems from their…

Analysis of PDEs · Mathematics 2026-02-19 Ricardo Grande , Zaher Hani

We present a physical model for turbulent friction on rough surfaces with regularly distributed roughness elements. Wall shear stresses are expressed as functions of physical quantities. Surfaces with varying roughness densities and…

Fluid Dynamics · Physics 2016-10-24 Zhuoqun Li , Xiaojing Zheng

We use a minimal model for a dense suspension undergoing thickening and thinning to investigate microstructural changes in 2d simulations. Our simulations show that in steady flow the contact network contains distinct building blocks which…

Soft Condensed Matter · Physics 2026-04-15 William C. J. Buchholtz , Daniel L. Blair , Jeffrey S. Urbach , H. A. Vinutha , Emanuela Del Gado

Dynamic facilitation theory assumes short-ranged dynamic constraints to be the essential feature of supercooled liquids and draws much of its conclusions from the study of kinetically constrained models. While deceptively simple, these…

Materials Science · Physics 2012-06-12 Thomas Speck , David Chandler

In structural dynamics, energy dissipative mechanisms with non-viscous damping are characterized by their dependence on the time-history of the response velocity, mathematically represented by convolution integrals involving hereditary…

Dynamical Systems · Mathematics 2018-05-22 Mario Lázaro

The aim of this work is two-fold: to design devices for passive electric damping of structural vibrations by distributed piezoelectric transducers and electric networks, and to experimentally validate the effectiveness of such a damping…

Mathematical Physics · Physics 2010-07-13 F. dell'Isola , C. Maurini , M. Porfiri

The response of many materials to applied forces and boundary constraints depends upon internal geometric changes at multiple submacroscopic levels. Hierarchical structured deformations provide a mathematical setting for the description of…

Classical Analysis and ODEs · Mathematics 2025-05-15 Ana Cristina Barroso , José Matias , Marco Morandotti , David R. Owen , Elvira Zappale

A numerical model is constructed for modelling macroscale damping effects induced by the first order martensite phase transformations in a shape memory alloy rod. The model is constructed on the basis of the modified Landau-Ginzburg theory…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Linxiang X. Wang , Roderick V. N. Melnik

Glasses have a large excess of low-frequency vibrational modes in comparison with most crystalline solids. We show that such a feature is a necessary consequence of the weak connectivity of the solid, and that the frequency of modes in…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthieu Wyart , Leonardo E. Silbert , Sidney R. Nagel , Thomas A. Witten

The dynamics of viscous thin-film particle-laden flows down inclined surfaces are commonly modeled with one of two approaches: a diffusive flux model or a suspension balance model. The diffusive flux model assumes that the particles migrate…

Open cellular solids usually possess random microstructures that may contain a characteristic length scale, such as the cell size. This gives rise to size dependent mechanical properties where large systems behave differently from small…

Materials Science · Physics 2018-01-03 Stefan Liebenstein , Stefan Sandfeld , Michael Zaiser

In this paper the propagation of acoustic plane waves in turbulent, fully developed flow is studied by means of an experimental investigation carried out in a straight, smooth-walled duct.The presence of a coherent perturbation, such as an…

Fluid Dynamics · Physics 2018-12-31 H. Tiikoja , F. Auriemma , J. Lavrentjev

We study the dynamical regime of wave turbulence of a vibrated thin elastic plate based on experimental and numerical observations. We focus our study to the strongly non linear regime described in a previous letter by N. Yokoyama & M.…

Chaotic Dynamics · Physics 2015-06-16 Benjamin Miquel , Alexandros Alexakis , Christophe Josserand , Nicolas Mordant

A variational model for epitaxially-strained thin films on rigid substrates is derived both by {\Gamma}-convergence from a transition-layer setting, and by relaxation from a sharp-interface description available in the literature for…

Analysis of PDEs · Mathematics 2018-09-20 Elisa Davoli , Paolo Piovano

The importance of thermoelastic damping as a fundamental dissipation mechanism for small-scale mechanical resonators is evaluated in light of recent efforts to design high-Q micrometer- and nanometer-scale electro-mechanical systems (MEMS…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ron Lifshitz , M. L. Roukes