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Related papers: Dynamic Model of Planar Sliding

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We present a Discrete Element Method algorithm for the simulation of elastic fibers in frictional contacts. The fibers are modeled as chains of cylindrical segments connected to each other by springs taking into account elongation, bending…

Soft Condensed Matter · Physics 2023-03-08 Jérôme Crassous

A drift-kinetic model to describe the plasma dynamics in the scrape-off layer region of tokamak devices at arbitrary collisionality is derived. Our formulation is based on a gyroaveraged Lagrangian description of the charged particle…

Plasma Physics · Physics 2019-04-18 R. Jorge , P. Ricci , N. F. Loureiro

This technical report provides an in-depth evaluation of both established and state-of-the-art methods for simulating constrained rigid multi-body systems with hard-contact dynamics, using formulations of Nonlinear Complementarity Problems…

Robotics · Computer Science 2025-04-29 Vassilios Tsounis , Ruben Grandia , Moritz Bächer

A general half-plane contact problem in which the geometry is specified in a piecewise-quadratic sense over three segments is solved in closed form. This includes the effects of a moment applied sufficient to introduce separation of one…

Classical Physics · Physics 2019-02-22 Hendrik Andresen , David A. Hills , Jesus Vazquez

Recent experiments indicate that frictional sliding occurs by the nucleation of detachment fronts at the contact interface that may appear well before the onset of global sliding. This intriguing precursory activity is not accounted for by…

Soft Condensed Matter · Physics 2015-02-04 Alessandro Taloni , Andrea Benassi , Stefan Sandfeld , Stefano Zapperi

Elastic contact in hydrodynamic environments is a complex multiphysics phenomenon and can be found in applications ranging from engineering to biological systems. Understanding the intricacies of this coupled problem requires the…

Fluid Dynamics · Physics 2024-09-17 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

This paper presents a novel contact-implicit trajectory optimization method using an analytically solvable contact model to enable planning of interactions with hard, soft, and slippery environments. Specifically, we propose a novel contact…

Robotics · Computer Science 2020-07-23 Iordanis Chatzinikolaidis , Yangwei You , Zhibin Li

We introduce a general differentiable solver for time-dependent deformation problems with contact and friction. Our approach uses a finite element discretization with a high-order time integrator coupled with the recently proposed…

We present a new method to solve the dynamics of disordered spin systems on finite time-scales. It involves a closed driven diffusion equation for the joint spin-field distribution, with time-dependent coefficients described by a dynamical…

Condensed Matter · Physics 2009-10-28 A. C. C. Coolen , S. N. Laughton , D. Sherrington

In this paper we present a discrete model governing the deformation of a convex regular polygon subjected not to cross a given flat rigid surface, on which it initially lies in correspondence of one point only. First, we set up the model in…

Analysis of PDEs · Mathematics 2022-05-10 Paolo Piersanti , Kristen White , Bogdan Dragnea , Roger Temam

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

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

Mechanical interactions between rigid rings and flexible cables find broad application in both daily life (hanging clothes) and engineering systems (closing a tether-net). A reduced-order method for the dynamic analysis of sliding rings on…

Graphics · Computer Science 2024-05-21 Weicheng Huang , Peifei Xu , Zhaowei Liu

We present a complete numerical analysis for a general discretization of a coupled flow-mechanics model in fractured porous media, considering single-phase flows and including frictionless contact at matrix-fracture interfaces, as well as…

Numerical Analysis · Mathematics 2024-06-14 Francesco Bonaldi , Jérôme Droniou , Roland Masson

If a contact of two purely elastic bodies with no sliding (infinite coefficient of friction) is subjected to superimposed oscillations in the normal and tangential directions, then a specific damping appears, that is not dependent on…

Soft Condensed Matter · Physics 2015-12-29 M. Popov , V. L. Popov , R. Pohrt

A mechanical system consisting of an elastic beam under harmonic excitation and an attached sliding body is investigated. Recent experimental observations suggest that the system passively (self-)adapts the axial location of the slider to…

Adaptation and Self-Organizing Systems · Physics 2021-01-12 Malte Krack , Noha Aboulfotoh , Jens Twiefel , Jörg Wallaschek , Lawrence A. Bergman , Alexander F. Vakakis

Inspired by the turf-ball interaction in golf, this paper seeks to understand the bounce of a ball that can be modelled as a rigid sphere and the surface as supplying an elasto-plastic contact force in addition to Coulomb friction. A…

Dynamical Systems · Mathematics 2022-08-25 Stanisław W. Biber , Alan R. Champneys , Robert Szalai

Active control of friction by ultrasonic vibration is a well-known effect with numerous technical applications ranging from press forming to micromechanical actuators. Reduction of friction is observed with vibration applied in any of the…

Soft Condensed Matter · Physics 2017-05-10 Mikhail Popov , Qiang Li

This study presents an innovative direct numerical simulation approach for complex particle systems with irregular shapes and large numbers. Using partially saturated methods, it accurately models arbitrary shapes, albeit at considerable…

Fluid Dynamics · Physics 2024-07-23 J. E. Marquardt , N. Hafen , M. J. Krause

Models of folding of a triangular lattice embedded in a discrete space are studied as simple models of the crumpling transition of fixed-connectivity membranes. Both the case of planar folding and three-dimensional folding on a…

Statistical Mechanics · Physics 2008-02-03 Mark Bowick , Philippe Di Francesco , Olivier Golinelli , Emmanuel Guitter