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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

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

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

Surface roughness is known to easily suppress the adhesion of elastic surfaces. Here a simple model for the contact of \emph{viscoelastic} rough surfaces with significant levels of adhesion is presented. This approach is derived from our…

软凝聚态物质 · 物理学 2008-02-27 Guillaume Haiat , Etienne Barthel

This paper deals with the large-time analysis of a PDE system modelling contact with adhesion, in the case when thermal effects are taken into account. The phenomenon of adhesive contact is described in terms of phase transitions for a…

偏微分方程分析 · 数学 2009-09-15 Elena Bonetti , Giovanna Bonfanti , 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

We present our recent study on rough adhesive contacts of viscoelastic materials in steady-state sliding, focusing on the interplay between adhesion and viscoelasticity by means of a novel energy approach. We investigate tribological…

软凝聚态物质 · 物理学 2024-11-13 Cosimo Mandriota , Nicola Menga , Giuseppe Carbone

The friction and adhesion between elastic bodies are strongly influenced by the roughness of the surfaces in contact. Here we develop a multiscale molecular dynamics approach to contact mechanics, which can be used also when the surfaces…

软凝聚态物质 · 物理学 2007-05-23 C. Yang , U. Tartaglino , B. N. J. Persson

We develop two new continuum contact models for coupled adhesion and friction, and discuss them in the context of existing models proposed in the literature. Our new models are able to describe sliding friction even under tensile normal…

计算工程、金融与科学 · 计算机科学 2019-10-22 Janine C. Mergel , Riad Sahli , Julien Scheibert , Roger A. Sauer

We present a novel convex formulation that models rigid and deformable bodies coupled through frictional contact. The formulation incorporates a new corotational material model with positive semi-definite Hessian, which allows us to extend…

计算工程、金融与科学 · 计算机科学 2023-03-17 Xuchen Han , Joseph Masterjohn , Alejandro Castro

We consider a mathematical model which describes the quasistatic frictionless contact of a viscoelastic body with a rigid-plastic foundation. We describe the mechanical assumptions, list the hypotheses on the data and provide three…

偏微分方程分析 · 数学 2023-09-11 Piotr Bartman , Anna Ochal , Mircea Sofonea

In this work, we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a non-monotone relation between the tangential stress and the tangential velocity. This leads to a system…

数值分析 · 数学 2024-01-02 Piotr Bartman , Krzysztof Bartosz , Michał Jureczka , Paweł Szafraniec

We study the adhesive contact between elastic solids with randomly rough, self affine fractal surfaces. We present molecular dynamics (MD) simulation results for the interfacial stress distribution and the wall-wall separation. We compare…

软凝聚态物质 · 物理学 2009-11-13 C. Yang , B. N. J. Persson , J. Israelachvili , K. Rosenberg

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

Contact involving soft materials often combines dry adhesion, sliding friction, and large deformations. At the local level, these three aspects are rarely captured simultaneously, but included in the theoretical models by Mergel et al.…

计算工程、金融与科学 · 计算机科学 2020-12-03 Janine C. Mergel , Julien Scheibert , Roger A. Sauer

In this paper we prove the existence and uniqueness of the weak solution for a dynamic thermoviscoelastic problem which describes frictional contact between a body and a foundation. We employ the nonlinear constitutive viscoelastic law with…

数学物理 · 物理学 2019-01-28 Stanisław Migórski , Paweł Szafraniec

This paper consists of two parts. In the first part we prove the unique solvability for the abstract variational-hemivariational inequality with history-dependent operator. The proof is based on the existing result for the static…

偏微分方程分析 · 数学 2016-08-17 Justyna Ogorzaly

We develop an analytical theory of adhesive interaction of viscoelastic spheres in quasistatic approximation. Deformations and deformation rates are assumed to be small, which allows for the application of the Hertz contact theory, modified…

材料科学 · 物理学 2007-05-23 Nikolai V. Brilliantov , Thorsten Poeschel

This paper constructs and analyzes a model for the dynamic frictional contact between a viscoelastic body and a moving foundation. The contact involves wear of the contacting surface and the diffusion of the wear debris. The relationships…

数学物理 · 物理学 2019-06-26 Piotr Kalita , Pawel Szafraniec , Meir Shillor

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

流体动力学 · 物理学 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov
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