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相关论文: An Eshelbian approach to the nonlinear mechanics o…

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Looking at rational solid-fluid mixture theories in the context of their biomechanical perspectives, this work aims at proposing a two-scale constitutive theory of a poroelastic solid infused with an inviscid compressible fluid. The…

经典物理 · 物理学 2018-08-29 S. Quiligotti , G. Maugin , F. dell'Isola

A mechanical interaction of compressible viscoelastic fluids with viscoelastic solids in Kelvin-Voigt rheology using the concept of higher-order (so-called 2nd-grade multipolar) viscosity is investigated in a quasistatic variant. The…

偏微分方程分析 · 数学 2023-02-23 Tomáš Roubíček

We study the flow of an electrically charged fluid through an elastic and porous medium. A three continuum model consisting of an elastic solid, a viscous fluid, and a mobile charge continuum is used. The relevant laws of physics are…

软凝聚态物质 · 物理学 2024-03-19 Jiashi Yang

The Eshelbian (or configurational) force is the main concept of a celebrated theoretical framework associated with the motion of dislocations and, more in general, defects in solids. In a similar vein, in an elastic structure where a…

软凝聚态物质 · 物理学 2015-09-21 Davide Bigoni , Francesco Dal Corso , Federico Bosi , Diego Misseroni

We present a series of experimental investigations on binary mixtures of Bose-Einstein condensates. Our focus lies on the regime where the interaction parameters place the system at the threshold of miscibility. We demonstrate that the…

量子气体 · 物理学 2025-12-09 Franco Rabec , Jérôme Beugnon , Jean Dalibard , Sylvain Nascimbene

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

图形学 · 计算机科学 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

In this work, we consider fluid-structure interaction simulation with nonlinear hyperelastic models in the solid part. We use a partitioned approach to deal with the coupled nonlinear fluid-structure interaction problems. We focus on…

数值分析 · 数学 2013-12-20 Ulrich Langer , Huidong Yang

In the dilute limit Eshelby's inclusion theory captures the behavior of a wide range of systems and properties. However, because Eshelby's approach neglects interfacial stress, it breaks down in soft materials as the inclusion size…

软凝聚态物质 · 物理学 2016-03-22 Francesco Mancarella , Robert W. Style , John S. Wettlaufer

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

偏微分方程分析 · 数学 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

In this paper, we present a novel interface-driven adaptive variational procedure using a fully Eulerian description of fluid-structure interaction. The proposed fully-Eulerian procedure involves a fixed background unstructured mesh on…

计算物理 · 物理学 2022-02-08 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

From bone and wood to concrete and carbon fibre, composites are ubiquitous natural and engineering materials. Eshelby's inclusion theory describes how macroscopic stress fields couple to isolated microscopic inclusions, allowing prediction…

A first principles approach to the nonlinear flow of dense suspensions is presented which captures shear thinning of colloidal fluids and dynamical yielding of colloidal glasses. The advection of density fluctuations plays a central role,…

软凝聚态物质 · 物理学 2009-11-07 Matthias Fuchs , Michael E. Cates

These lectures start with the mean field theory for a symmetric binary fluid mixture, addressing interfacial tension, the stress tensor, and the equations of motion (Model H). We then consider the phase separation kinetics of such a…

软凝聚态物质 · 物理学 2012-09-12 M. E. Cates

The usual approach to the development of new nonlinear dielectric materials focuses on the search for materials in which the components possess an inherently large nonlinear dielectric response. In contrast, based on thermodynamics, we have…

材料科学 · 物理学 2009-11-10 J. P. Huang

The behavior of suspensions of rigid particles in a non-Newtonian fluid is studied in the framework of a nonlinear homogenization method. Estimates for the overall properties of the composite material are obtained. In the case of a…

软凝聚态物质 · 物理学 2010-07-28 Xavier Chateau , Guillaume Ovarlez , Kien Luu Trung

An initial-and boundary-value problem for the Kelvin-Voigt system, modeling a mixture of n incompressible and viscoelastic fluids, with non-constant density, is investigated in this work. The existence of global-in-time weak solutions is…

偏微分方程分析 · 数学 2025-06-13 S. N. Antontsev , H. B. de Oliveira , I. V. Kuznetsov , D. A. Prokudin , Kh. Khompysh

This paper is concerned with the diffusion of a fluid through a viscoelastic solid undergoing large deformations. Using ideas from the classical theory of mixtures and a thermodynamic framework based on the notion of maximization of the…

计算工程、金融与科学 · 计算机科学 2015-03-17 Satish Karra

A new concept of semi-compressible fluids is introduced for slightly compressible visco-elastic fluids (typically rather liquids than gasses) where mass density variations are negligible in some sense, while being directly controlled by…

偏微分方程分析 · 数学 2020-04-17 Tomáš Roubíček

We consider a system of multiple insulating rigid bodies moving inside of an electrically conducting compressible fluid. In this system we take into account the interaction of the fluid with the bodies as well as with the electromagnetic…

偏微分方程分析 · 数学 2022-08-15 Jan Scherz

Building upon the classical chemo-mechanical theory of Larch{\'e} and Cahn for equilibrium, numerous studies have investigated the transport of species in solids, with or without trapping phenomena. In most applications -- such as the…

软凝聚态物质 · 物理学 2025-12-24 Alberto Salvadori , Mattia Serpelloni , Robert M. McMeeking
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