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This paper advances an analytical incremental contact model for the purely elastic or elastic-perfectly plastic Gaussian rough surfaces. The contact is modelled by the accumulation of identical circular contacts with radius given by the…

Materials Science · Physics 2022-04-06 Sihe Wang , Weike Yuan , Xuanming Liang , Gangfeng Wang

This work presents a concise theoretical and computational framework for the finite element formulation of frictional contact problems with arbitrarily large deformation and sliding. The aim of this work is to extend the contact theory…

Computational Engineering, Finance, and Science · Computer Science 2019-04-03 Thang X. Duong , Roger A. Sauer

Understanding contact between rough surfaces undergoing plastic deformation is crucial in many applications. We test Persson's multiscale contact mechanics theory for elastoplastic solids, assuming a constant penetration hardness. Using a…

Soft Condensed Matter · Physics 2026-01-07 Andreas Almqvist , Bo N. J. Persson

Finite element methods are used to study non-adhesive, frictionless contact between elastic solids with self-affine surfaces. We find that the total contact area rises linearly with load at small loads. The mean pressure in the contact…

Materials Science · Physics 2009-11-10 S. Hyun , L. Pei , J. -F. Molinari , M. O. Robbins

Experimental measurements of contact forces are limited to spheres and disks in three and two dimensions, making the evaluation of the shape effect and universality of force distributions and the comparison between experiments and theories…

Soft Condensed Matter · Physics 2021-10-22 Yinqiao Wang , Jin Shang , Yujie Wang , Jie Zhang

We consider some basic principles of fluid-induced lubrication at soft interfaces. In particular, we show how the presence of a soft substrate leads to an increase in the physical separation between surfaces sliding past each other. By…

Soft Condensed Matter · Physics 2009-11-10 J. M. Skotheim , L. Mahadevan

Thin elastic solids are easily deformed into a myriad of three-dimensional shapes, which may contain sharp localized structures as in a crumpled candy wrapper, or have smooth and diffuse features like the undulating edge of a flower.…

When two solid surfaces are brought in contact, water vapor present in the ambient air may condense in the region of the contact to form a liquid bridge connecting the two surfaces : this is the so-called capillary condensation. This…

Soft Condensed Matter · Physics 2007-05-23 F. Restagno , L. Bocquet , J. Crassous , E. Charlaix

We consider the escape of a flexible, self-avoiding polymer chain out of a confined geometry. By means of simulations, we demonstrate that the translocation time can be described by a simple scaling law that exhibits a nonlinear dependence…

Soft Condensed Matter · Physics 2009-11-11 Angelo Cacciuto , Erik Luijten

Recent experiments have shown that surface stresses in soft materials can have a significant strain-dependence. Here we explore the implications of this surface elasticity to show how, and when, we expect it to arise. We develop the…

Soft Condensed Matter · Physics 2020-05-28 Robert W. Style , Qin Xu

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…

Mathematical Physics · Physics 2019-06-26 Piotr Kalita , Pawel Szafraniec , Meir Shillor

Understanding and harnessing the coupling between lubrication pressure and elasticity provides materials design strategies for applications such as adhesives, coatings, microsensors, and biomaterials. Elastic deformation of compliant solids…

Soft Condensed Matter · Physics 2018-10-01 Yumo Wang , Georgia Pilkington , Charles Dhong , Joelle Frechette

We analyse the nature of the confinement of an infinitely long (and finite) linear semiflexible homo-polymer chain confined in between two geometrical constraints (A&B) under good solvent condition in two dimensions. The constraints are…

Soft Condensed Matter · Physics 2017-10-16 Pramod Kumar Mishra

A huge number of technological and biological systems involves the lubricated contact between rough surfaces of soft solids in relative accelerated motion. Examples include dynamical rubber seals and the human joints. In this study we…

Soft Condensed Matter · Physics 2017-02-09 M. Scaraggi , L. Dorogin , J. Angerhausen , H. Murrenhoff , B. N. J. Persson

A thin fiber or sheet curled into a circular container has a detached region whose shape and force ratios are independent of material properties and container radius. We compute this shape and compare it with experiments. The discrete…

Materials Science · Physics 2008-06-07 Victor Romero , Enrique Cerda , T. A. Witten , Tao Liang

In the sliding contact of elastomer on a rigid substrate, the coefficient of friction may depend on a large number of system and loading parameters, including normal force, sliding velocity, shape of contacting bodies, surface roughness and…

Materials Science · Physics 2016-04-13 Valentin L. Popov , Lars Voll , Stephan Kusche , Qiang Li , Svetlana V. Rozhkova

A novel multi-scale finite element formulation for contact mechanics between nominally smooth but microscopically rough surfaces is herein proposed. The approach integrates the interface finite element method (FEM) for modelling interface…

Computational Engineering, Finance, and Science · Computer Science 2025-04-03 Jacopo Bonari , Maria R. Marulli , Nora Hagmeyer , Matthias Mayr , Alexander Popp , Marco Paggi

When a body is exposed to external forces large local stresses may occur at the surface because of surface roughness. Surface stress concentration is important for many applications and in particular for fatigue due to pulsating external…

Soft Condensed Matter · Physics 2023-04-06 B. N. J. Persson

We consider an adhesive contact between a thin soft layer on a rigid substrate and a rigid cylindrical indenter ("line contact") with account of the surface tension of the layer. First, it is shown that the boundary condition for the…

Soft Condensed Matter · Physics 2020-02-06 Valentin L. Popov

We study the lubricated contact of sliding soft surfaces that are locally patterned but globally cylindrical, held together under an external normal force. The local patterns represent either naturally occurring surface roughness or…

Soft Condensed Matter · Physics 2024-09-04 Arash Kargar-Estahbanati , Bhargav Rallabandi
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