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We present a differentiable dynamics solver that is able to handle frictional contact for rigid and deformable objects within a unified framework. Through a principled mollification of normal and tangential contact forces, our method…

We introduce a model of friction between two contacting (stationary or co-sliding) rough surfaces, each comprising a random ensemble of polydisperse hemispherical bumps. In the simplest version of the model, the bumps experience on contact…

Soft Condensed Matter · Physics 2023-05-10 Suzanne M Fielding

A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit…

Analysis of PDEs · Mathematics 2019-06-11 Tomáš Roubíček

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a contact line. This is a main challenge in numerical simulations of two-phase flows with moving contact lines. We derive a two-dimensional…

Fluid Dynamics · Physics 2019-05-23 Hanna Holmgren , Gunilla Kreiss

A dynamic wetting problem is studied for a moving thin fiber inserted in fluid and with a chemically inhomogeneous surface. A reduced model is derived for contact angle hysteresis by using the Onsager principle as an approximation tool. The…

Fluid Dynamics · Physics 2020-12-02 Xianmin Xu , Xiaoping Wang

Frictional properties of interfaces with dynamic chemical bonds have been the subject of intensive experimental investigation and modeling, as it provides important insights into the molecular origin of the empirical rate and state laws,…

Mesoscale and Nanoscale Physics · Physics 2020-01-24 Wengen Ouyang , Yao Cheng , Ming Ma , Michael Urbakh

This paper develops a comprehensive two-dimensional generalisation of the recently introduced Friction with Bristle Dynamics (FrBD) framework for rolling contact problems. The proposed formulation extends the one-dimensional FrBD model to…

Applied Physics · Physics 2026-05-05 Luigi Romano

Contact angle is an essential characteristic in wetting, capillarity and moving contact line; however, although contact angle phenomena are effectively simulated, an accurate and real-time measurement for contact angle has not been well…

Computational Physics · Physics 2018-01-23 Binghai Wen , Bingfang Huang , Zhangrong Qin , Chunlei Wang , Chaoying Zhang

The motion of three-phase contact lines is one of the most relevant research topics of micro- and nano-fluidics. According to many hydrodynamic and molecular models, the dynamics of contact lines is assumed overdamped and dominated by…

Fluid Dynamics · Physics 2022-09-29 Michele Pellegrino , Berk Hess

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

Based on the convex force-motion polynomial model for quasi-static sliding, we derive the kinematic contact model to determine the contact modes and instantaneous object motion on a supporting surface given a position controlled…

Robotics · Computer Science 2017-05-31 Jiaji Zhou , J. Andrew Bagnell , Matthew T. Mason

This paper presents an analytical study about the behavior of arbitrary shaped and sized non-cohesive two-dimensional granular materials. Several mechanical properties and relations are unraveled by connecting micro and macro scales in an…

Geophysics · Physics 2013-02-06 Alex X. Jerves , José E. Andrade

A height-function-based numerical approach is developed for enforcing contact angles on flat and curved solid surfaces within two-dimensional volume-of-fluid simulations. This method incorporates the contact line position into the curvature…

Despite decades of research, the modeling of moving contact lines has remained a formidable challenge in fluid dynamics whose resolution will impact numerous industrial, biological, and daily life applications. On the one hand, molecular…

Soft Condensed Matter · Physics 2018-11-09 E. R. Smith , P. E. Theodorakis , R. V. Craster , O. K. Matar

We outline a phenomenological model to assess friction at the interface between two bodies in mutual contact. Although the approach is general, the application inspiring the approach is the Discrete Element Method. The kinematics of the…

Computational Engineering, Finance, and Science · Computer Science 2020-07-28 Luning Fang , Dan Negrut

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

Classically, the quantity of contact area $A_R$ between two bodies is considered a proxy for the force of friction. However, bond density across the interface - quality of contact - is also relevant, and contemporary debate often centers…

Soft Condensed Matter · Physics 2022-09-09 Sam Dillavou , Yohai Bar Sinai , Michael P Brenner , Shmuel M Rubinstein

We report experiments on the rapid contact line motion present in the early stages of capillary driven spreading of drops on dry solid substrates. The spreading data fails to follow a conventional viscous or inertial scaling. By integrating…

Fluid Dynamics · Physics 2013-05-30 Andreas Carlson , Gabriele Bellani , Gustav Amberg

Using as a starting point conservation of momentum, a multiphase mechanical energy balance equation is derived that accounts for multiple material phases and interfaces present within a moving control volume. This balance is applied to a…

Fluid Dynamics · Physics 2022-12-26 Dalton J. E. Harvie

Droplets on hydrophobic surfaces are ubiquitous in microfluidic applications and there exists a number of commonly used multicomponent and multiphase lattice Boltzmann schemes to study such systems. In this paper we focus on a popular…

Fluid Dynamics · Physics 2011-02-02 Sebastian Schmieschek , Jens Harting