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Frictional sliding contact in hydrodynamic environments can be found in a range of engineering applications. Accurate modeling requires an integrated numerical framework capable of resolving large relative motions, multiphase interactions,…

Computational Physics · Physics 2025-10-01 Biswajeet Rath , Rajeev K. Jaiman

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 present a contact mechanics problem, which we consider to be representative for contacts between nominally flat surfaces. The main ingredients of the mathematically fully defined contact problem are: Self-affine roughness, linear…

Soft Condensed Matter · Physics 2015-12-09 Martin H. Müser , Wolf B. Dapp

We present a novel convex formulation that models rigid and deformable bodies coupled through frictional contact. The formulation incorporates a new corotational material model with positive semi-definite Hessian, which allows us to extend…

Computational Engineering, Finance, and Science · Computer Science 2023-03-17 Xuchen Han , Joseph Masterjohn , Alejandro Castro

Dynamics simulation with frictional contacts is important for a wide range of applications, from cloth simulation to object manipulation. Recent methods using smoothed lagged friction forces have enabled robust and differentiable simulation…

Graphics · Computer Science 2024-08-01 Egor Larionov , Andreas Longva , Uri M. Ascher , Jan Bender , Dinesh K. Pai

Sliding friction between two dry surfaces is reasonably described by the speed-independent Amonton-Coulomb friction force law. However, there are many situations where the frictional contact points between two surfaces are "active" and may…

Soft Condensed Matter · Physics 2025-01-17 Rohan Shah , Nick Gravish

An extension to the interface finite element with eMbedded Profile for Joint Roughness (MPJR interface finite element) is herein proposed for solving the frictional contact problem between a rigid indenter of any complex shape and an…

Soft Condensed Matter · Physics 2025-04-03 Jacopo Bonari , Marco Paggi , José Reinoso

This paper constructs and analyzes a model for the dynamic frictional contact between a viscoelastic body and a moving foundation. The contact involves wear of the contacting surface and the diffusion of the wear debris. The relationships…

Mathematical Physics · Physics 2019-06-26 Piotr Kalita , Pawel Szafraniec , Meir Shillor

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

In this paper, we propose an efficient numerical treatment for solving contact problems with friction between deformable bodies. The discretized normal and tangential constraints at the candidate contact interface are expressed by using…

Numerical Analysis · Mathematics 2007-05-23 Laurent Baillet , Taoufik Sassi

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

We present a barrier method for treating frictional contact on interfaces embedded in finite elements. The barrier treatment has several attractive features, including: (i) it does not introduce any additional degrees of freedom or…

Numerical Analysis · Mathematics 2022-06-17 Yidong Zhao , Jinhyun Choo , Yupeng Jiang , Minchen Li , Chenfanfu Jiang , Kenichi Soga

We present a convex formulation of compliant frictional contact and a robust, performant method to solve it in practice. By analytically eliminating contact constraints, we obtain an unconstrained convex problem. Our solver has proven…

Computational Engineering, Finance, and Science · Computer Science 2022-06-24 Alejandro Castro , Frank Permenter , Xuchen Han

We present a computational framework for simulating filaments interacting with rigid bodies through contact. Filaments are challenging to simulate due to their codimensionality, i.e., they are one-dimensional structures embedded in…

Robotics · Computer Science 2025-09-18 Wei-Chen Li , Glen Chou

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

Barrier potentials gained popularity as a means for robust contact handling in physical modeling and for modeling self-avoiding shapes. The key to the success of these approaches is adherence to geometric constraints, i.e., avoiding…

Graphics · Computer Science 2025-05-29 Zizhou Huang , Max Paik , Zachary Ferguson , Daniele Panozzo , Denis Zorin

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

Accurate frictional contact is critical in simulating the assembly of rod-like structures in the practical world, such as knots, hairs, flagella, and more. Due to their high geometric nonlinearity and elasticity, rod-on-rod contact remains…

Graphics · Computer Science 2024-02-21 Dezhong Tong , Andrew Choi , Jungseock Joo , M. Khalid Jawed

This work presents a self-contained continuum formulation for coupled chemical, mechanical and thermal contact interactions. The formulation is very general and hence admits arbitrary geometry, deformation and material behavior. All model…

Classical Physics · Physics 2021-08-12 Roger A. Sauer , Thang X. Duong , Kranthi K. Mandadapu

In this paper, we introduce a novel convex formulation that seamlessly integrates the Material Point Method (MPM) with articulated rigid body dynamics in frictional contact scenarios. We extend the linear corotational hyperelastic model…

Robotics · Computer Science 2024-10-21 Zeshun Zong , Chenfanfu Jiang , Xuchen Han
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