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Over the last half-century, linear viscoelastic models for crack growth in soft solids have flourished but their predictions have rarely been compared to experiments. In fact, most available models are either very approximate or cast in…

软凝聚态物质 · 物理学 2024-07-02 Etienne Barthel

The problem of quasistatic evolution in small strain associative elastoplasticity is studied in the framework of the variational theory for rate-independent processes. Existence of solutions is proved through the use of incremental…

偏微分方程分析 · 数学 2007-05-23 Gianni Dal Maso , Antonio DeSimone , Maria Giovanna Mora

We rigorously derive an effective bending model for elastoplastic rods starting from three-dimensional finite plasticity. For the derivation we lean on a framework of evolutionary $\Gamma$-convergence for rate-independent systems. The main…

偏微分方程分析 · 数学 2024-09-16 Stefan Neukamm , Kai Richter

We investigate the time-evolution of elastoplastic materials reinforced by randomly distributed long-range interactions. Starting from a rate-independent system on a discrete spring lattice that combines local linearized elasticity,…

偏微分方程分析 · 数学 2025-09-15 Simone Hermann

We consider initial boundary-value problems for nonlinear systems of conservation laws in one space variable. It is known that in general different viscous mechanisms yield different solutions in the zero-viscosity limit. Here we focus on…

偏微分方程分析 · 数学 2024-01-29 Fabio Ancona , Andrea Marson , Laura V. Spinolo

In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, for interaction between an incompressible viscous fluid and a thin structure. We consider a benchmark…

数值分析 · 数学 2014-06-16 Martina Bukac

We formulate a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain setting in the Kelvin's-Voigt's rheology where the viscosity stress tensor complies with the principle of time-continuous frame-indifference.…

偏微分方程分析 · 数学 2018-06-13 Manuel Friedrich , Martin Kruzik

In this work, we study the effective behavior of a two-dimensional variational model within finite crystal plasticity for high-contrast bilayered composites. Precisely, we consider materials arranged into periodically alternating thin…

偏微分方程分析 · 数学 2019-02-01 Elisa Davoli , Rita Ferreira , Carolin Kreisbeck

An improved linear model is developed for elasto-plastic and adhesive contact. New correlations are proposed and validated to estimate the key input parameters of the model, including contact stiffness, yield point, maximum pull-off force…

流体动力学 · 物理学 2022-07-19 Wenguang Nan , Wei Pin Goh , Mohammad Tarequr Rahman

We propose an improved viscosity model accounting for experiments of emulsions of two immiscible liquids at arbitrary volume fractions and low shear rates. The model is based on a recursive-differential method formulated in terms of the…

软凝聚态物质 · 物理学 2009-04-01 Carlos I. Mendoza , I. Santamaria-Holek

Plastic deformation of heterogeneous solid structures is often characterized by random intermittent local plastic events. On the mesoscale this feature can be represented by a spatially fluctuating local yield threshold. Here we study the…

统计力学 · 物理学 2023-02-16 Dénes Berta , Gábor Péterffy , Péter Dusán Ispánovity

We study the dynamics of small perturbations to the rest state of a viscoelastic rate type fluid with temperature dependent material parameters. We show that if the material parameters are chosen appropriately, then the quiescent state of…

流体动力学 · 物理学 2017-05-24 Judith Stein , Vít Průša

We study the existence of weak martingale solutions to a stochastic moving boundary problem arising from the interaction between an isentropic compressible fluid and a viscoelastic structure. In the model, we consider a three-dimensional…

偏微分方程分析 · 数学 2025-05-22 Jeffrey Kuan , Krutika Tawri

A constitutive model based on the combination of damage mechanics and plasticity is developed to analyse concrete structures subjected to dynamic loading. The aim is to obtain a model, which requires input parameters with clear physical…

材料科学 · 物理学 2011-03-09 Peter Grassl , Ulrika Nystrom , Rasmus Rempling , Kent Gylltoft

A theoretical and computational investigation is carried out of a dissipative model of rate-independent strain-gradient plasticity and its regularization. It is shown that the flow relation, when expressed in terms of the Cauchy stress, is…

材料科学 · 物理学 2017-04-12 C Carstensen , F Ebobisse , AT McBride , BD Reddy , P Steinmann

Localization of plastic strain induced by softening can be objectively described by a regularized plasticity model that postulates a dependence of the current yield stress on a nonlocal softening variable defined by a differential…

材料科学 · 物理学 2012-02-02 Milan Jirasek , Jan Zeman , Jaroslav Vondrejc

This work presents a unified viscoelastic-viscoplastic continuum framework for modeling rate-dependent granular flows across regimes. The formulation incorporates two distinct rate-dependent mechanisms, namely micro-inertia and viscoelastic…

软凝聚态物质 · 物理学 2026-04-28 Bodhinanda Chandra , Sachith Dunatunga , Ken Kamrin

Materials are often heterogeneous at various length scales, with variations in grain structure, defects, and composition which has a strong influence on the emergent macroscopic plastic behavior. In particular, heterogeneities lead to…

材料科学 · 物理学 2024-06-17 Dénes Berta , David Kurunczi-Papp , Lasse Laurson , Péter Dusán Ispánovity

We discuss the plastic behavior of an amorphous matrix reinforced by hard particles. A mesoscopic depinning-like model accounting for Eshelby elastic interactions is implemented. Only the effect of a plastic disorder is considered.…

材料科学 · 物理学 2016-02-17 Botond Tyukodi , Claire A. Lemarchand , Jesper S. Hansen , Damien Vandembroucq

In this paper, we consider a coupled PDE system describing phase separation and damage phenomena in elastically stressed alloys in the presence of inertial effects. The material is considered on a bounded Lipschitz domain with mixed…

偏微分方程分析 · 数学 2016-09-16 Christian Heinemann , Christiane Kraus