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Related papers: Frictional Contact Solving for Material Point Meth…

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Approximate full mass matrix methods for the material point method, known as FMPM(k) of order k, can improve the calculation of grid velocities from grid momentum. It can be implemented in any MPM code by inserting a new calculation task…

Computational Engineering, Finance, and Science · Computer Science 2026-04-09 John A. Nairn

Measuring the mechanical response of liquid interfaces without direct contact remains a major experimental challenge, particularly in liquid-liquid systems where no solid reference exists. Here, we develop a frequency-modulation atomic…

Soft Condensed Matter · Physics 2026-05-29 Lucie Corral , Christian Curtil , Medhi Lagaize , Marc Leonetti , Hubert R. Klein

In this paper, we develop a principled method to model line and surface contact with point contact (we call this point, equivalent contact point) that is consistent with physics-based models of surface (line) contact. Assuming that the set…

Robotics · Computer Science 2020-10-09 Jiayin Xie , Nilanjan Chakraborty

For model-based control, an accurate and in its complexity suitable representation of the real system is a decisive prerequisite for high and robust control quality. In a structured step-by-step procedure, a model predictive control (MPC)…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Jörg Fehr , Arnim Kargl , Hannes Eschmann

In this article, we present various numerical methods to solve multi-contact problems within the Non-Smooth Discrete Element Method. The techniques considered to solve the frictional unilateral conditions are based both on the bi-potential…

Numerical Analysis · Mathematics 2012-04-27 Serge Dumont

In recent years, soft robotics simulators have evolved to offer various functionalities, including the simulation of different material types (e.g., elastic, hyper-elastic) and actuation methods (e.g., pneumatic, cable-driven, servomotor).…

Robotics · Computer Science 2025-02-03 Etienne Ménager , Louis Montaut , Quentin Le Lidec , Justin Carpentier

This work introduces a contact interaction methodology for an unbiased treatment of contacting surfaces without assigning surfaces as master and slave. The contact tractions between interacting discrete segments are evaluated with respect…

Graphics · Computer Science 2025-06-06 Indrajeet Sahu , Nik Petrinic

This paper presents a novel stabilized mixed material point method (MPM) designed for the unified modeling of free-surface and seepage flow. The unified formulation integrates the Navier-Stokes equation with the Darcy-Brinkman-Forchheimer…

Numerical Analysis · Mathematics 2024-09-30 Bodhinanda Chandra , Ryota Hashimoto , Ken Kamrin , Kenichi Soga

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

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

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

The Material Point Method (MPM) is a hybrid Eulerian-Lagrangian approach capable of simulating large deformation problems of history-dependent materials. While the MPM can represent complex and evolving material domains by using Lagrangian…

Geophysics · Physics 2019-10-01 Ezra Y. S. Tjung , Shyamini Kularathna , Krishna Kumar , Kenichi Soga

We review recent machine-learning (ML) approaches for point defects in non-metallic materials, with an emphasis on defect formation energies. Existing studies largely fall into two categories: direct ML models that predict defect energetics…

Materials Science · Physics 2026-05-19 Yu Kumagai , Shin Kiyohara

Discrete particle simulations have become the standard in science and industrial applications exploring the properties of particulate systems. Most of such simulations rely on the concept of interacting spherical particles to describe the…

Numerical Analysis · Mathematics 2023-11-01 Igor Ostanin , Vasileios Angelidakis , Timo Plath , Sahar Pourandi , Anthony Thornton , Thomas Weinhart

We introduce a phase-field method for continuous modeling of cracks with frictional contacts. Compared with standard discrete methods for frictional contacts, the phase-field method has two attractive features: (1) it can represent…

Numerical Analysis · Mathematics 2020-01-29 Fan Fei , Jinhyun Choo

Recent advancements have demonstrated that fully Eulerian methods can effectively model frictionless contact between deformable solids. Unlike traditional Lagrangian approaches, which require contact detection and resolution algorithms, the…

Soft Condensed Matter · Physics 2024-12-20 Flavio Lorez , Mohit Pundir

Modeling deformable objects - especially continuum materials - in a way that is physically plausible, generalizable, and data-efficient remains challenging across 3D vision, graphics, and robotic manipulation. Many existing methods…

Robotics · Computer Science 2026-01-27 Yunuo Chen , Yafei Hu , Lingfeng Sun , Tushar Kusnur , Laura Herlant , Chenfanfu Jiang

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

Real applications in structural mechanics, where the dynamic behavior is linear, are rare. Usually, structures are made of components assembled together by means of joints whose behavior maybe highly nonlinear. Depending on the amount of…

Dynamical Systems · Mathematics 2018-11-26 Stefano Zucca , Christian M. Firrone

In this paper, a novel feedback control-based particle filter algorithm for the continuous-time stochastic hybrid system estimation problem is presented. This particle filter is referred to as the interacting multiple model-feedback…

Numerical Analysis · Mathematics 2013-05-28 Tao Yang , Henk A. P. Blom , Prashant G. Mehta
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