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In this paper we use a deterministic multi-asperity model to investigate the elastic contact of rough spheres. Synthetic rough surfaces with controllable spectra were used to identify individual asperities, their locations and curvatures.…

Applied Physics · Physics 2018-11-06 Vladislav A. Yastrebov

A novel implementation of the traditional node-to-node Coulomb contact-friction problem is presented that utilizes run-time parameter updates on conventional elasto-plastic elements. The two-noded elements are defined by an independent…

Applied Physics · Physics 2025-02-27 Asifur Rahman , Kevin R. Mackie

We present a GPU-friendly framework for real-time implicit simulation of elastic material in the presence of frictional contacts. The integration of hyperelasticity, non-interpenetration contact, and friction in real-time simulations…

Graphics · Computer Science 2025-03-20 Ziqiu Zeng , Siyuan Luo , Fan Shi , Zhongkai Zhang

High-order spatial discretisations and full discretisations of parabolic partial differential equations on evolving surfaces are studied. We prove convergence of the high-order evolving surface finite element method, by showing high-order…

Numerical Analysis · Mathematics 2016-06-24 Balázs Kovács

A preconditioning framework for the coupled problem of frictional contact mechanics and fluid flow in the fracture network is presented. The porous medium is discretized using low-order continuous finite elements, with cell-centered…

Numerical Analysis · Mathematics 2022-05-25 Andrea Franceschini , Laura Gazzola , Massimiliano Ferronato

A topology optimization approach for designing large deformation contact-aided shape morphing compliant mechanisms is presented. Such mechanisms can be used in varying operating conditions. Design domains are described by regular hexagonal…

Computational Engineering, Finance, and Science · Computer Science 2020-10-23 Prabhat Kumar , Roger A. Sauer , Anupam Saxena

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

In this paper we introduce an abstract nonsmooth optimization problem and prove existence and uniqueness of its solution. We present a numerical scheme to approximate this solution. The theory is later applied to a sample static contact…

Numerical Analysis · Mathematics 2019-03-12 Michal Jureczka , Anna Ochal

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

Multivalent particles bind to targets via many independent ligand-receptor bonding interactions. This microscopic design spans length scales in both synthetic and biological systems. Classic examples include interactions between cells,…

Soft Condensed Matter · Physics 2020-04-22 Tine Curk , Nicholas B. Tito

We formulate and analyze a Nitsche-type algorithm for frictional contact problems. The method is derived from, and analyzed as, a stabilized finite element method and shown to be quasi-optimal, as well as suitable as an adaptive scheme…

Numerical Analysis · Mathematics 2021-06-24 Tom Gustafsson , Juha Videman

A higher-order fictitious domain method (FDM) for Reissner-Mindlin shells is proposed which uses a three-dimensional background mesh for the discretization. The midsurface of the shell is immersed into the higher-order background mesh and…

Computational Engineering, Finance, and Science · Computer Science 2020-09-21 D. Schöllhammer , T. P. Fries

In this paper, we introduce a novel parallel contact algorithm designed to run efficiently in High-Performance Computing based supercomputers. Particular emphasis is put on its computational implementation in a multiphysics finite element…

Computational Engineering, Finance, and Science · Computer Science 2022-08-02 G. Guillamet , M. Rivero , M. Zavala-Aké , M. Vázquez , G. Houzeaux , S. Oller

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

Robotic manipulation in unstructured environments requires planners to reason jointly about free-space motion and sustained, frictional contact with the environment. Existing (local) planning and simulation frameworks typically separate…

Robotics · Computer Science 2026-02-05 Bingkun Huang , Xin Ma , Nilanjan Chakraborty , Riddhiman Laha

This work performs the convergence analysis of the polytopal nodal discretisation of contact-mechanics (with Tresca friction) recently introduced in [18] in the framework of poro-elastic models in fractured porous media. The scheme is based…

Numerical Analysis · Mathematics 2024-04-24 Jérôme Droniou , Ali Haidar , Roland Masson

Contact-aware topology optimization faces challenges in robustness, accuracy, and applicability to internal structural surfaces under self-contact. This work builds on the recently proposed barrier-based Incremental Potential Contact (IPC)…

Optimization and Control · Mathematics 2022-08-26 Zeshun Zong , Xuan Li , Jianping Ye , Sian Wen , Yin Yang , Danny M. Kaufman , Minchen Li , Chenfanfu Jiang

This study presents a fractional-order continuum mechanics approach that allows combining selected characteristics of nonlocal elasticity, typical of classical integral and gradient formulations, under a single frame-invariant framework.…

Numerical Analysis · Mathematics 2020-05-21 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

We analyze the isotropic compaction of mixtures composed of rigid and deformable incompressible particles by the non-smooth contact dynamics approach (NSCD). The deformable bodies are simulated using a hyper-elastic neo-Hookean constitutive…

Soft Condensed Matter · Physics 2020-09-30 Manuel Cárdenas-Barrantes , David Cantor , Jonathan Barés , Mathieu Renouf , Emilien Azéma

We report on the elastic contact between a spherical lens and a patterned substrate, composed of an hexagonal lattice of cylindrical pillars. The stress field and the size of the contact area are obtained by means of numerical methods…

Materials Science · Physics 2016-09-28 Rene Ledesma-Alonso , Elie Raphael , Liliane Leger , Frederic Restagno , Christophe Poulard
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