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Understanding the contact between rough surfaces undergoing plastic deformation is crucial in many applications. We study the effect of plastic deformation on the surface separation between two solids with random roughness. Assuming a…

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

I study the contact between a rigid solid with a randomly rough surface and an elastic block with a flat surface. I derive a relation between the (average) interfacial separation $u$ and the applied normal squeezing pressure $p$. I show…

Soft Condensed Matter · Physics 2007-10-01 B. N. J. Persson

We study the average separation between an elastic solid and a hard solid with a nominal flat but randomly rough surface, as a function of the squeezing pressure. We present experimental results for a silicon rubber (PDMS) block with a flat…

Soft Condensed Matter · Physics 2009-11-13 B. Lorenz , B. N. J. Persson

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…

Soft Condensed Matter · Physics 2009-11-13 C. Yang , B. N. J. Persson , J. Israelachvili , K. Rosenberg

We present a molecular dynamics study of the contact between a rigid solid with a randomly rough surface and an elastic block with a flat surface. The numerical calculations mainly focus on the contact area and the interfacial separation…

Soft Condensed Matter · Physics 2008-05-08 C. Yang , B. N. J. Persson

We study the time dependency of the (average) interfacial separation between an elastic solid with a flat surface and a rigid solid with a randomly rough surface, squeezed together in a fluid. We use an analytical theory describing the…

Soft Condensed Matter · Physics 2015-05-27 B. Lorenz , B. N. J. Persson

The description of elastic, nonadhesive contacts between solids with self-affine surface roughness seems to necessitate knowledge of a large number of parameters. However, few parameters suffice to determine many important interfacial…

Soft Condensed Matter · Physics 2013-12-09 Nikolay Prodanov , Wolf B. Dapp , Martin H. Müser

We have employed a numerical procedure to analyze the adhesive contact between a soft elastic layer and a rough rigid substrate. The solution of the problem is obtained by calculating the Green's function which links the pressure…

Computational Physics · Physics 2010-06-04 Giuseppe Carbone , Michele Scaraggi , Ugo Tartaglino

We report a molecular dynamics study of the contact between a rigid solid with a randomly rough surface and an elastic block with a flat surface. We study the contact area and the interfacial separation from small contact (low load) to full…

Soft Condensed Matter · Physics 2011-11-10 C. Yang , B. N. J. Persson

The adhesive contact between elastic solids with randomly rough, self affine fractal surfaces is studied by molecular dynamics (MD) simulations. The interfacial binding energy obtained from the simulations of nominally flat and curved…

Soft Condensed Matter · Physics 2011-12-23 N. Mulakaluri , B. N. J. Persson

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

We generalize the Persson contact mechanics and rubber friction theory to the case where both surfaces have surface roughness. The solids can be rigid, elastic or viscoelastic, and can be homogeneous or layered. We calculate the contact…

Soft Condensed Matter · Physics 2016-01-20 Michele Scaraggi , Bo N. J. Persson

It has recently been suggested that many contact mechanics problems between solids can be accurately studied by mapping the problem on an effective one dimensional (1D) elastic foundation model. Using this 1D mapping we calculate the…

Materials Science · Physics 2013-11-06 I. A. Lyashenko , Lars Pastewka , Bo N. J. Persson

The effect of self-affine roughness on solid contact is examined with molecular dynamics and continuum calculations. The contact area and normal and lateral stiffnesses rise linearly with the applied load, and the load rises exponentially…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Sreekanth Akarapu , Tristan Sharp , Mark O. Robbins

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…

Soft Condensed Matter · Physics 2007-05-23 C. Yang , U. Tartaglino , B. N. J. Persson

We systematically check explicit and implicit assumptions of Persson's contact mechanics theory. It casts the evolution of the pressure distribution ${\rm Pr}(p)$ with increasing resolution of surface roughness as a diffusive process, in…

Soft Condensed Matter · Physics 2014-06-25 Wolf B. Dapp , Nikolay Prodanov , Martin H. Müser

In purely normal elastic rough surface contact problems, Persson's theory of contact shows that the evolution of the probability density function (PDF) of contact pressure with the magnification is governed by a diffusion equation. However,…

Soft Condensed Matter · Physics 2024-08-20 Yang Xu , Junki Joe , Xiaobao Li , Yunong Zhou

Persson's theory of purely normal rough surface contact was developed two decades ago during the study of tire-road interaction, and gradually became one of the dominant approaches to study the solid-solid interaction between rough…

Statistical Mechanics · Physics 2025-12-05 Yang Xu , Xiaobao Li , Qi Chen , Yunong Zhou

We present a newly developed approach for the calculation of interfacial stiffness and contact area evolution between two rough bodies exhibiting self affine surface structures. Using spline assisted discretization to define localised…

Soft Condensed Matter · Physics 2021-06-04 Dorian Hanaor , Yixiang Gan , Itai Einav

The logarithmic relation between interfacial separation and squeezing pressure between randomly rough surfaces, has been predicted by both theory and experiment. However, the experimental slope between interfacial separation and logarithmic…

Soft Condensed Matter · Physics 2008-10-17 C. Yang , B. N. J. Persson , J. Israelachvili , K. Rosenberg
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