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In this paper we analyze an isothermal and isotropic model for viscoelastic media combining linearized perfect plasticity (allowing for concentration of plastic strain and development of shear bands) and damage effects in a dynamic setting.…

偏微分方程分析 · 数学 2019-04-04 Elisa Davoli , Tomáš Roubíček , Ulisse Stefanelli

Instabilities in thin elastic sheets, such as wrinkles, are of broad interest both from a fundamental viewpoint and also because of their potential for engineering applications. Nematic liquid crystal elastomers offer a new form of control…

软凝聚态物质 · 物理学 2019-10-03 Madison S. Krieger , Marcelo A. Dias

We investigate the link between the geometric environment of particles, the local deformations of the solvent, and the bulk effective viscosity in non-Brownian suspensions. First, we discuss the caging of particles by their neighbors,and…

软凝聚态物质 · 物理学 2024-09-10 Virgile Thiévenaz , Nathan Vani , Alban Sauret

We present a finite element discretisation to model the interaction between a poroelastic structure and an elastic medium. The consolidation problem considers fully coupled deformations across an interface, ensuring continuity of…

数值分析 · 数学 2023-06-21 S. Badia , M. Hornkjøl , A. Khan , K. -A. Mardal , A. F. Martín , R. Ruiz-Baier

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…

统计力学 · 物理学 2022-06-02 Rudolf Haussmann

The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions…

偏微分方程分析 · 数学 2025-02-05 Tomáš Roubíček

Although density functional theory provides reliable predictions for the static properties of simple fluids under confinement, a theory of comparative accuracy for the transport coefficients has yet to emerge. Nonetheless, there is evidence…

The volumetric stretch energy has been widely applied to the computation of volume-/mass-preserving parameterizations of simply connected tetrahedral mesh models. However, this approach still lacks theoretical support. In this paper, we…

数值分析 · 数学 2022-10-19 Tsung-Ming Huang , Wei-Hung Liao , Wen-Wei Lin , Mei-Heng Yueh , Shing-Tung Yau

Chemo-mechanical coupled systems have been a subject of interest for many decades now. Previous attempts to solve such models have mainly focused on elastic materials without taking into account the plastic deformation beyond yield, thus…

计算工程、金融与科学 · 计算机科学 2020-01-15 Rupesh Kumar Mahendran , Hirshikesh , Ratna Kumar Annabattula , Sundararajan Natarajan

An initial stress within a solid can arise to support external loads or from processes such as thermal expansion in inert matter or growth and remodelling in living materials. For this reason it is useful to develop a mechanical framework…

软凝聚态物质 · 物理学 2016-02-17 Artur L. Gower , Pasquale Ciarletta , Michel Destrade

Materials deform elasto-plastically and fail under various loading conditions, typically quantified by the stress triaxiality, which is the ratio between the dilatational (hydrostatic) stress and the deviatoric (shear-like) one. We show…

软凝聚态物质 · 物理学 2026-03-23 Pawandeep Kaur , Noam Ottolenghi , Edan Lerner , David Richard , Eran Bouchbinder

We consider a static theory of dislocations with moment stress in an anisotropic or isotropic elastoplastical material as a T(3)-gauge theory. We obtain Yang-Mills type field equations which express the force and the moment equilibrium.…

凝聚态物理 · 物理学 2008-11-26 Markus Lazar

We investigate the possibility of projecting low dimensional chaos from spatiotemporal dynamics of a model for a kind of plastic instability observed under constant strain rate deformation conditions. We first discuss the relationship…

混沌动力学 · 物理学 2013-03-28 Ritupan Sarmah , G. Ananthakrishna

Strain localization is an instability phenomenon occurring in deformable solid materials which undergo dissipative deformation mechanisms. Such instability is characterized by the localization of the displacement or velocity fields in a…

地球物理 · 物理学 2021-04-21 Antoine B. Jacquey , Hadrien Rattez , Manolis Veveakis

We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the present…

偏微分方程分析 · 数学 2020-09-09 Husnu A. Erbay , Yasemin Sengul

Confined geometries offer useful and experimentally amenable mechanical testing arrangements in which to study the molecular and micro-structural processes which govern plastic yield in stress environments dominated by hydrostatic pressure…

材料科学 · 物理学 2021-06-09 Owen Brazil , Johann P. de Silva , John B. Pethica , Graham L. W. Cross

Taking into account the nonequivalence of fixed-force and fixed-length ensembles in the weak-force regime, equations of state are derived that describe the equilibrium extension or compression of an ideal Gaussian polymer chain in response…

软凝聚态物质 · 物理学 2007-05-23 Richard M. Neumann

We analyze plane strain cold rolling processes, at large strains but slow strain rates, by finite element modeling. At low temperatures, slow strain rates, and moderate thickness reductions during rolling (at which Bauschinger effect can be…

软凝聚态物质 · 物理学 2022-06-30 Nikhil Padhye

We evaluate the loss of stability of axially compressed slender and thick-walled tubes subject to a residual stress distribution. The nonlinear theory of elasticity, when used to analyze the underlying deformation, shows that the residual…

软凝聚态物质 · 物理学 2025-05-13 Tao Zhang , Luis Dorfmann , Yang Liu

In this work, a higher-order irrotational strain gradient plasticity theory is studied in the small strain regime. A detailed numerical study is based on the problem of simple shear of a non-homogeneous block comprising an elastic-plastic…

材料科学 · 物理学 2019-06-26 Nothando Mhlongo , B Daya Reddy
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