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The stress-gradient theory has a third order tensor as kinematic degree of freedom, which is work-conjugate to the stress gradient. This tensor was called micro-displacements just for dimensional reasons. Consequently, this theory requires…

Computational Physics · Physics 2020-02-19 Geralf Hütter , Karam Sab , Samuel Forest

Ultrathin polymer films that are produced e.g. by spin-coating are believed to be stressed since polymers are 'frozen in' into out-of-equilibrium configurations during this process. In the framework of a viscoelastic thin film model, we…

Soft Condensed Matter · Physics 2011-03-01 Falko Ziebert , Elie Raphael

Based on previous work for the static problem, in this paper we first derive one form of dynamic finite-strain shell equations for incompressible hyperelastic materials that involve three shell constitutive relations. In order to single out…

Computational Engineering, Finance, and Science · Computer Science 2020-12-16 Xiang Yu , Yibin Fu , Hui-Hui Dai

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

We propose a general method for deriving one-dimensional models for nonlinear structures. It captures the contribution to the strain energy arising not only from the macroscopic elastic strain as in classical structural models, but also…

Applied Physics · Physics 2020-03-18 Claire Lestringant , Basile Audoly

The kinetic damping mechanism of low frequency transverse perturbations propagating parallel to the magnetic field in a magnetized warm electron plasma is simulated by means of electromagnetic (EM) Vlasov simulations. The short-time-scale…

Plasma Physics · Physics 2022-10-26 Anjan Paul , Devendra Sharma

Paints and coatings often feature interfacial defects due to disturbances during the deposition process which, if they persist until solidification, worsen the product quality. In this article, we investigate the stability of a thin liquid…

Fluid Dynamics · Physics 2023-07-26 David Barreiro-Villaverde , Anne Gosset , Marcos Lema , Miguel Alfonso Mendez

Amorphous elastomers exhibit significant rate-stiffening and unique viscous flow characteristics across a wide range of strain rates, often undergoing glass transition above a strain rate threshold. We have developed a…

Soft Condensed Matter · Physics 2026-05-26 Bibekananda Datta , Sushan Nakarmi , Nitin P. Daphalapurkar

A new result enables direct calculation of thermoelastic damping in vibrating elastic solids. The mechanism for energy loss is thermal diffusion caused by inhomogeneous deformation, flexure in thin plates. The general result is combined…

Materials Science · Physics 2007-05-23 Andrew N. Norris , Douglas M. Photiadis

We consider mechanics of composite materials in which thin inclusions are modeled by lower-dimensional manifolds. By successively applying the dimensional reduction to junctions and intersections within the material, a geometry of…

Numerical Analysis · Mathematics 2019-03-06 Wietse M. Boon , Jan M. Nordbotten

A new relaxation approach is proposed which allows for the description of stress- and strain-softening at finite strains. The model is based on the construction of a convex hull replacing the originally non-convex incremental stress…

Computational Engineering, Finance, and Science · Computer Science 2023-02-08 Maximilian Köhler , Daniel Balzani

We propose a method for deriving equivalent one-dimensional models for slender non-linear structures. The approach is designed to be broadly applicable, and can handle in principle finite strains, finite rotations, arbitrary cross-sections…

Soft Condensed Matter · Physics 2021-02-03 Basile Audoly , Claire Lestringant

Experimental testing on dry woven fabrics exhibits a complex set of evidences that are difficult to be completely described using classical continuum models. The aim of this paper is to show how the introduction of energy terms related to…

Soft Condensed Matter · Physics 2016-09-16 Gabriele Barbagallo , Angela Madeo , Fabrice Morestin , Philippe Boisse

The weak properties in the thickness of the laminates in terms of rigidity, fatigue and impact resistance involve delamination sensitivity for thick structures. This issue has led to the development of three-dimensional (3D) preforms with…

Applied Physics · Physics 2019-07-23 Imen Gnaba , Peng Wang , Xavier Legrand , Damien Soulat

A lubrication model can be used to describe the dynamics of a weakly volatile viscous fluid layer on a hydrophobic substrate. Thin layers of the fluid are unstable to perturbations and break up into slowly evolving interacting droplets. A…

Fluid Dynamics · Physics 2024-01-18 Hangjie Ji , Thomas P. Witelski

In civil, mechanical, and aerospace engineering, structural dynamics is commonly understood to be a discipline concerned with the analysis and characterization of the vibratory response of structures. Key elements of the response are the…

Applied Physics · Physics 2018-09-13 Clemence L. Bacquet , Mahmoud I. Hussein

Soft solids with tunable mechanical response are at the core of new material technologies, but a crucial limit for applications is their progressive aging over time, which dramatically affects their functionalities. The generally accepted…

Soft Condensed Matter · Physics 2017-08-02 Mehdi Bouzid , Jader Colombo , Lucas Vieira Barbosa , Emanuela Del Gado

A new semi-analytic model of the metal rolling process is introduced, which, for the first time, is able to predict the through-thickness stress and strain oscillations present in long thin roll-gaps. The model is based on multiple-scales…

As an extension to strain-gradient models of size-dependent plastic behaviour, this work proposes a model for a stress-gradient theory. The model is distinguished from earlier works on the topic by its being embedded in a thermodynamically…

Materials Science · Physics 2020-12-30 B. D. Reddy , P. Steinmann , A. Kergassner

In the present research work, an attempt is made to develop a coupled non-linear turbulence-structure-damper model in a finite volume-finite difference (FV-FD) framework. Tuned liquid damper (TLD) is used as the additional damping system…

Fluid Dynamics · Physics 2023-10-20 Ananya Majumdar , Biplab Ranjan Adhikary , Partha Bhattacharya