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The classical Hertzian contact model establishes a monotonic correlation between contact force and area. Here, we showed that the interplay between local friction and structural instability can deliberately lead to unconventional contact…

Computational Engineering, Finance, and Science · Computer Science 2024-01-29 Riad Sahli , Jeppe Mikkelsen , Mathias Satherstrom Boye , Marcelo A. Dias , Ramin Aghababaei

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…

Soft Condensed Matter · Physics 2022-09-15 Giuseppe Carbone , Cosimo Mandriota , Nicola Menga

Adhesion hysteresis can be caused by elastic instabilities that are triggered by surface roughness or chemical heterogeneity. However, the role of these instabilities in adhesion hysteresis remains poorly understood because we lack…

Soft Condensed Matter · Physics 2022-02-09 Antoine Sanner , Lars Pastewka

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…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

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

A highly accurate, single-pass, unbiased frictional contact algorithm for higher-order elements based on the concept of midplane is presented. Higher-order elements offer a lucrative choice for contact problems as they can better represent…

Computational Physics · Physics 2025-06-30 Indrajeet Sahu , Nik Petrinic

Viscoelasticity is well known to cause significant hysteresis of crack closure and opening when an elastomer is brought in and out of contact with a flat, rigid, adhesive counterface. A separate origin of adhesive hysteresis is small-scale,…

Soft Condensed Matter · Physics 2023-04-06 Christian Müller , Manar Samri , René Hensel , Eduard Arzt , Martin H. Müser

In this paper, we propose a numerical model to describe the adhesive normal contact between a "rigid" spherical indenter and a viscoelastic rough substrate. The model accounts for dissipative process under the assumption that viscoelastic…

Soft Condensed Matter · Physics 2020-12-15 Guido Violano , Antoine Chateauminois , Luciano Afferrante

Insects, pick-and-place manufacturing, engineered adhesives, and soft robots employ soft materials to stick to surfaces even in the presence of roughness. Experiments show that the force required for making contact is lower than for…

Soft Condensed Matter · Physics 2023-07-27 Antoine Sanner , Nityanshu Kumar , Ali Dhinojwala , Tevis D. B. Jacobs , Lars Pastewka

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.…

Computational Engineering, Finance, and Science · Computer Science 2020-12-03 Janine C. Mergel , Julien Scheibert , Roger A. Sauer

We study the deformations of elastic filaments confined within slowly-shrinking circular boundaries, under contact forces with friction. We perform computations with a spring-lattice model that deforms like a thin inextensible filament of…

Soft Condensed Matter · Physics 2022-02-23 Silas Alben

Hypothesis: Understanding contact angle hysteresis on rough surfaces is important as most industrially relevant and naturally occurring surfaces possess some form of random or structured roughness. We hypothesise that hysteresis originates…

Fluid Dynamics · Physics 2023-08-11 Pawan Kumar , Paul Mulvaney , Dalton J. E. Harvie

We report on an experimental investigation of the interplay between friction, contact geometry and finite strains for smooth frictional contacts between rigid spherical glass probes and flat silicone substrates. Using both bulk and layered…

Soft Condensed Matter · Physics 2025-09-26 Marco Ceglie , Cosimo Mandriota , Giuseppe Carbone , Nicola Menga , Antoine Chateauminois

Contact force--indentation depth measurements in contact experiments involving compliant materials, such as polymers and gels, show a hysteresis loop whose size depends on the maximum indentation depth. This depth-dependent hysteresis (DDH)…

Soft Condensed Matter · Physics 2018-03-26 Weilin Deng , Haneesh Kesari

In this study, we propose a theory of rough adhesive contact of viscoelastic materials in steady-state sliding. By exploiting a boundary formulation based on Green function approach, the unknown contact domain is calculated by enforcing the…

Soft Condensed Matter · Physics 2024-01-31 C. Mandriota , N. Menga , G. Carbone

Hertzian contact of a rigid sphere and a highly deformable soft solid is investigated using integrated photoelasticity. The experiments are performed by pressing a styrene sphere of 15 mm diameter against a 44 x 44 x 47 mm$^3$ cuboid made…

Materials Science · Physics 2022-12-28 Benjamin Mitchell , Yuto Yokoyama , Ali Nassiri , Yoshiyuki Tagawa , Yannis Korkolis , Brad Kinsey

We present a nonlocal formulation of contact mechanics that accounts for the interplay of deformations due to multiple contact forces acting on a single particle. The analytical formulation considers the effects of nonlocal mesoscopic…

Soft Condensed Matter · Physics 2016-02-09 Marcial Gonzalez , Alberto Cuitino

Friction in static and sliding contact of rough surfaces is important in numerous physical phenomena. We seek to understand macroscopically observed static and sliding contact behavior as the collective response of a large number of…

Soft Condensed Matter · Physics 2018-11-12 Srivatsan Hulikal , Nadia Lapusta , Kaushik Bhattacharya

Phenomena including friction and earthquakes are complicated by the joint presence of disorder and non-linear instabilites, such as those triggered by the presence of velocity weakening. In [de Geus and Wyart, Phys. Rev. E 106, 065001…

Disordered Systems and Neural Networks · Physics 2025-12-01 Tom W. J. de Geus , Matthieu Wyart

We present a theoretical analysis of frictional transitions along the Stribeck curve for rough elastic contacts lubricated by a Newtonian fluid. Building on the mean-field framework of Persson and Scaraggi (J. Phys.: Condens. Matter 21…

Soft Condensed Matter · Physics 2026-03-30 Vincent Bertin , Olivier Pouliquen
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