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This work proposes a novel model and numerical formulation for lubricated contact problems describing the mutual interaction between two deformable 3D solid bodies and an interposed fluid film. The solid bodies are consistently described…

Computational Engineering, Finance, and Science · Computer Science 2022-01-05 Mostafa Faraji , Alexander Seitz , Christoph Meier , Wolfgang A. Wall

The complex physics behind electroadhesion-based tactile displays poses an enormous modeling challenge since not only the fingerpad structure with multiple nonlinear layers, but also the roughness at the microscopic scale play a decisive…

Soft Condensed Matter · Physics 2022-12-19 Fabian Forsbach , Markus Heß , Antonio Papangelo

This paper introduces BFEMP, a new approach for monolithically coupling the Material Point Method (MPM) with the Finite Element Method (FEM) through barrier energy-based particle-mesh frictional contact using a variational time-stepping…

Numerical Analysis · Mathematics 2022-02-02 Xuan Li , Yu Fang , Minchen Li , Chenfanfu Jiang

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

Optimization and Control · Mathematics 2017-01-24 Matthew Lawry , Kurt Maute

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

Contact problems with Coulomb friction in linear elasticity are notoriously difficult and their mathematical analysis is still largely incomplete. In this paper, a model problem with heterogeneous friction coefficient is considered in…

Analysis of PDEs · Mathematics 2022-01-12 Patrick Ballard , Flaviana Iurlano

Understanding the dynamics of two inertial bodies coupled via a friction interface is essential for a wide range of systems and motion control applications. Coupling terms within the dynamics of an inertial pair connected via a passive…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Michael Ruderman , Andrei Zagvozdkin , Dmitrii Rachinskii

We present a locally adapted parametric finite element method for interface problems. For this adapted finite element method we show optimal convergence for elliptic interface problems with a discontinuous diffusion parameter. The method is…

Numerical Analysis · Mathematics 2016-11-16 Johan Hoffman , Bärbel Holm , Thomas Richter

The problem of a crack impinging on an interface has been thoroughly investigated in the last three decades due to its important role in the mechanics and physics of solids. In this investigation, this problem is revisited in view of the…

Materials Science · Physics 2017-05-24 Marco Paggi , Jose Reinoso

We present a novel computational framework to simulate the electromechanical response of self-sensing carbon nanotube (CNT)-based composites experiencing fracture. The computational framework combines electrical-deformation-fracture finite…

Computational Engineering, Finance, and Science · Computer Science 2023-02-22 L. Quinteros , E. García-Macías , E. Martínez-Pañeda

Understanding the physical interaction with wearable robots is essential to ensure safety and comfort. However, this interaction is complex in two key aspects: (1) the motion involved, and (2) the non-linear behaviour of soft tissues.…

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

This article's main scope is the presentation of a computational method for the simulation of contact problems within the finite element method involving complex and rough surfaces. The approach relies on the MPJR (eMbedded Profile for…

Soft Condensed Matter · Physics 2025-04-03 Jacopo Bonari , Marco Paggi , Daniele Dini

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

We study a finite element approximation of a coupled fluid-structure interaction consisting of a three-dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two-dimensional elastic plate. To avoid the use…

Numerical Analysis · Mathematics 2026-02-10 Lander Besabe , Hyesuk Lee

Cementless implants have become widely used for total hip replacement surgery. The long-term stability of these implants is achieved by bone growing around and into the porous surface of the implant, a process called osseointegration.…

Medical Physics · Physics 2022-11-01 Katharina Immel , Vu-Hieu Nguyen , Guillaume Haiat , Roger A. Sauer

A key challenge in 3D finite element models of coupled railway vehicle-bridge dynamics is the rigorous definition of kinematic constraints and the development of an efficient, robust solution. This paper presents a novel approach that can…

Numerical Analysis · Mathematics 2026-03-09 Pablo Antolin , Khanh Nguyen , José M. Goicolea

Roboticists have been seeking to address this situation in recent years through the use of soft robots. Unfortunately, identifying appropriate models for the complete analysis and investigation of soft robots for design and control purposes…

Robotics · Computer Science 2022-05-24 Soheil Habibian , Benjamin B. Wheatley , Suehye Bae , Joon Shin , Keith W. Buffinton

The friction force observed at macroscale is the result of interactions at various lower length scales that are difficult to model in a combined manner. For this reason, simplified approaches are required, depending on the specific aspect…

Materials Science · Physics 2018-01-12 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

This paper presents a fast first-order method for solving the quasi-static contact problem with the Coulomb friction. It is known that this problem can be formulated as a second-order cone linear complementarity problem, for which…

Optimization and Control · Mathematics 2022-12-21 Yoshihiro Kanno
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