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An adhesive unilateral contact between visco-elastic bodies at small strains and in a Kelvin-Voigt rheology is scrutinized, neglecting inertia. The flow-rule for debonding the adhesive is considered rate independent, unidirectional, and…

偏微分方程分析 · 数学 2013-09-30 Martin Kruzik , Christos G. Panagiotopoulos , Tomas Roubicek

We address a model for adhesive unilateral frictionless Signorini-type contact between bodies of heat-conductive viscoelastic material, in the linear Kelvin-Voigt rheology, undergoing thermal expansion. The flow-rule for debonding the…

偏微分方程分析 · 数学 2010-04-22 Riccarda Rossi , Tomas Roubicek

An adhesive unilateral contact of elastic bodies with a small viscosity in the linear Kelvin-Voigt rheology at small strains is scrutinized. The flow-rule for debonding the adhesive is considered rate-independent and unidirectional, and…

数值分析 · 数学 2013-03-08 Tomas Roubicek , Christos G. Panagiotopoulos , Vladislav Mantic

A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit…

偏微分方程分析 · 数学 2019-06-11 Tomáš Roubíček

In this paper we analyze a system for brittle delamination between two visco-elastic bodies, also subject to inertia, which can be interpreted as a model for dynamic fracture. The rate-independent flow rule for the delamination parameter is…

偏微分方程分析 · 数学 2016-06-01 Riccarda Rossi , Marita Thomas

Two models for quasistatic adhesive unilateral contact delaminating in mixed fracture mode, i.e. distinguishing the less-dissipative Mode I (opening) from the more-dissipative Mode II (shearing), and allowing rigorous mathematical and…

数值分析 · 数学 2015-12-01 Christos G. Panagiotopoulos , Vladislav Mantic , Tomas Roubicek

We propose a model for unilateral contact with adhesion between a viscoelastic body and a rigid support, encompassing thermal and frictional effects. Following the approach by M. Fremond, adhesion is described in terms of a surface damage…

偏微分方程分析 · 数学 2012-07-23 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

In this paper, we consider a contact problem with adhesion between a viscoelastic body and a rigid support, taking thermal effects into account. The PDE system we deal with is derived within the modelling approach proposed by M. Fremond…

偏微分方程分析 · 数学 2015-05-14 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

We perform a dimension reduction analysis for a coupled rate-dependent/rate-independent adhesive-contact model in the setting of visco-elastodynamic plates. We work with a weak solvability notion inspired by the theory of (purely)…

偏微分方程分析 · 数学 2025-11-14 Giovanna Bonfanti , Elisa Davoli , Riccarda Rossi

In this paper we analyze a new temperature-dependent model for adhesive contact that encompasses nonlocal adhesive forces and damage effects, as well as nonlocal heat flux contributions on the contact surface. The related PDE system…

偏微分方程分析 · 数学 2021-04-13 Giovanna Bonfanti , Michele Colturato , Riccarda Rossi

Application of the principle of energy balance to a rigid indenter in contact with elastic layer on a flat rigid substrate provides a very simple derivation of the detachment criterion which earlier has been obtained by much more…

软凝聚态物质 · 物理学 2018-05-23 Valentin L. Popov

The adhesion between dry solid surfaces is typically governed by contact forces, involving surface forces and elasticity. For surfaces immersed in a fluid, out-of-contact adhesion arises due to the viscous resistance to the opening of the…

软凝聚态物质 · 物理学 2024-09-18 Vincent Bertin , Alexandros T. Oratis , Jacco H. Snoeijer

The thermodynamical model of visco-elastic deformable solids at finite strains is formulated in a fully Eulerian way in rates. Also effects of thermal expansion or buoyancy due to evolving mass density in a gravity field are covered. The…

偏微分方程分析 · 数学 2023-09-14 Tomáš Roubíček

In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the frame-indifference principle. The system features a force…

偏微分方程分析 · 数学 2024-09-04 S. Almi , R. Badal , M. Friedrich , S. Schwarzacher

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

In this paper we extend the asymptotic analysis in [LLOO], performed on a structure consisting of two linearly elastic bodies connected by a thin soft nonlinear Kelvin-Voigt viscoelastic adhesive layer, to the case in which the total mass…

偏微分方程分析 · 数学 2019-12-13 Elena Bonetti , Giovanna Bonfanti , Christian Licht , Riccarda Rossi

The paper studies the evolution of the thermomechanical and electric state of a thermoviscoelastic thermistor that is in frictional contact with a reactive foundation. The mechanical process is dynamic, while the electric process is…

数学物理 · 物理学 2019-01-28 Krzysztof Bartosz , Tomasz Janiczko , Paweł Szafraniec , Meir Shillor

We present a novel theory of the adhesive contact of linear viscoelastic materials against rigid substrates moving at constant velocity. Despite the non-conservative behavior of the system, the closure equation of the contact problem can be…

软凝聚态物质 · 物理学 2022-09-15 Giuseppe Carbone , Cosimo Mandriota , Nicola Menga

Soft adhesive contacts are ubiquitous in nature and are increasingly used in synthetic systems, such as flexible electronics and soft robots, due to their advantages over traditional joining techniques. While methods to study the failure of…

软凝聚态物质 · 物理学 2022-12-20 Tara K. Venkatadri , Thomas Henzel , Tal Cohen

Adhesive contact between a thin elastic sheet and a substrate in a liquid environment arises in a range of biological, physical and technological applications. By considering the dynamics of this process that naturally couples fluid flow,…

流体动力学 · 物理学 2015-08-26 Andreas Carlson , Shreyas Mandre , L. Mahadevan
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