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In this article, we derive a model for a shell that is frictionally coupled to an elastic foundation. We use Kikuchi and Oden's model for Coulomb's law of static friction to derive a displacement-based static-friction law for a shell on an…

Classical Physics · Physics 2023-09-06 Kavinda Jayawardana

We proposed a toy model of granular compaction which includes some resistance due to granular arches. In this model, the solid/solid friction of contacting grains is a key parameter and a slipping threshold Wc is defined. Realistic…

Other Condensed Matter · Physics 2009-11-10 F. Ludewig , S. Dorbolo , N. Vandewalle

Networks of flexible filaments often involve regions of tight contact. Predictively understanding the equilibrium configurations of these systems is challenging due to intricate couplings between topology, geometry, large nonlinear…

We study the fluid-mediated approach of a deformable axisymmetric object towards a rigid substrate, focusing on how its shape influences contact formation. For low approach velocities and large Stokes numbers, we show that sharper profiles…

Soft Condensed Matter · Physics 2025-10-21 Joaquin Garcia-Suarez

Frictional properties of contacts between a smooth viscoelastic rubber and rigid surfaces are investigated using a torsional contact configuration where a glass lens is continuously rotated on the rubber surface. From the inversion of the…

Soft Condensed Matter · Physics 2017-02-01 M. Trejo , C. Frétigny , A. Chateauminois

Slender beam-like structures frequently occur in engineering applications and often interact at discrete locations through joints or connectors. Accurate modeling of such interactions is particularly challenging when different numerical…

Computational Engineering, Finance, and Science · Computer Science 2026-04-13 Ivo Steinbrecher , Nora Hagmeyer , Christoph Meier , Alexander Popp

A novel Material Point Method (MPM) is introduced for addressing frictional contact problems. In contrast to the standard multi-velocity field approach, this method employs a penalty method to evaluate contact forces at the discretised…

Numerical Analysis · Mathematics 2024-03-21 Emmanouil G. Kakouris , Manolis N. Chatzis , Savvas P. Triantafyllou

Traditional laws of friction believe that the friction coefficient of two specific solids takes constant value. However, molecular simulations revealed that the friction coefficient of nanosized asperity depends strongly on contact size and…

Materials Science · Physics 2022-08-01 X. M. Liang , G. F. Wang

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

The fundamental problem of friction in the presence of macroscopic adhesion, as in soft bodies, is receiving interest from many experimentalists. Since the first fracture mechanics `purely brittle' model of Savkoor and Briggs, models have…

Soft Condensed Matter · Physics 2018-11-14 A. Papangelo , M. Ciavarella

Humanoid robots locomote by making and breaking contacts with their environment. A crucial problem is therefore to find precise criteria for a given contact to remain stable or to break. For rigid surface contacts, the most general…

Robotics · Computer Science 2015-01-21 Stéphane Caron , Quang-Cuong Pham , Yoshihiko Nakamura

Anisotropy of friction force is proved to be an important factor in various contact problems. We study dynamical behavior of thin plates with respect to symmetric and asymmetric orthotropic friction. Terminal motion of plates with circular…

Classical Physics · Physics 2018-02-13 O. A. Silantyeva , N. N. Dmitriev

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

Computational Engineering, Finance, and Science · Computer Science 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

Providing dry solid contacts with on-demand macroscale frictional behaviour remains a formidable challenge in tribology, haptics or robotics. Metainterfaces created from surfaces with engineered asperity-based topographies can achieve such…

Classical Physics · Physics 2026-05-20 Li Fu , Djibril Gabriel Kashala , D. Dalmas , J Scheibert

We develop an efficient reduced basis method for the frictional contact problem formulated using Nitsche's method. We focus on the regime of small deformations and on Tresca friction. The key idea ensuring the computational efficiency of…

Numerical Analysis · Mathematics 2023-07-24 Idrissa Niakh , Guillaume Drouet , Virginie Ehrlacher , Alexandre Ern

The lattice fluid model of the system with short range and long range Coulomb interactions is suggested. In the framework of the collective variables method, the screening of the Coulomb interactions in the bulk is considered. It is shown…

Other Condensed Matter · Physics 2019-01-24 George Bokun , Dung di Caprio , Myroslav Holovko , Vyacheslav Vikhrenko

Friction is central to the motion of active (self-propelled) objects such as bacteria, animals, and robots. While in a viscous fluid friction is described by Stokes's law, objects in contact with other solid bodies are often governed by…

Soft Condensed Matter · Physics 2024-11-12 Alexander P. Antonov , Lorenzo Caprini , Anton Ldov , Christian Scholz , Hartmut Löwen

Particles bound to an interface interact because they deform its shape. The stresses that result are fully encoded in the geometry and described by a divergence-free surface stress tensor. This stress tensor can be used to express the force…

Soft Condensed Matter · Physics 2007-05-23 Martin Michael Mueller , Markus Deserno , Jemal Guven

Rubber friction is of major practical importance in applications such as tires, rubber seals, and footwear. This review article focuses on the theory and experimental studies of rubber friction on substrates with random roughness. We…

Soft Condensed Matter · Physics 2025-09-12 B. N. J. Persson , R. Xu

In simulations of colloidal matter, frictional contacts between particles are often neglected. For spherical colloids, such an approximation can be problematic, since frictional contacts couple translational and rotational degrees of…

Soft Condensed Matter · Physics 2026-05-27 Kay Hofmann , Kay-Robert Dormann , Benno Liebchen , Friederike Schmid