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We consider the dynamics of two-phase fluids, in particular the moving contact line, on a solid substrate. The dynamics are governed by the sharp-interface model consisting of the incompressible Navier-Stokes\slash Stokes equations with the…

Computational Physics · Physics 2020-07-15 Quan Zhao , Weiqing Ren

Urban rail transit often operates with high service frequencies to serve heavy passenger demand during rush hours. Such operations can be delayed by two types of congestion: train congestion and passenger congestion, both of which interact…

Systems and Control · Computer Science 2025-09-16 Toru Seo , Kentaro Wada , Daisuke Fukuda

This paper proposes a low order geometrically exact flexible beam formulation based on the utilisation of generic beam shape functions to approximate distributed kinematic properties of the deformed structure. The proposed nonlinear beam…

Classical Physics · Physics 2018-09-05 C. Howcroft , R. G. Cook , S. A. Neild , M. H. Lowenberg , J. E. Cooper , E. B. Coetzee

A general approach to simulate the mechanical behavior of textile materials by taking into account all their constitutive elementary fibers and contacts between them is presented in this paper. A finite element code, based on an implicit…

Materials Science · Physics 2009-12-08 Damien Durville

The presence of surface defects (roughness, surface imperfections, profiles, etc.) in a contact inevitably leads to the modification of its local properties, such as the coefficient of friction. In railway wheelsets, this surface condition…

Classical Physics · Physics 2025-10-03 Victor Lalleman , Pierre Gosselet , Cédric Hubert , Stéphane Salengro , Vincent Magnier

Nonlinearities and instabilities in mechanical structures have shown great promise for embedding advanced functionalities. However, simulating structures subject to nonlinearities can be challenging due to the complexity of their behavior,…

Soft Condensed Matter · Physics 2025-10-23 Paul Ducarme , Bart Weber , Martin van Hecke , Johannes T. B. Overvelde

We propose an accurate and energy-stable parametric finite element method for solving the sharp-interface continuum model of solid-state dewetting in three-dimensional space. The model describes the motion of the film\slash vapor interface…

Numerical Analysis · Mathematics 2023-07-04 Weizhu Bao , Quan Zhao

A fluid-structure interaction technique for the simulation of inflatable structures is introduced. The presented finite-element/boundary-element (FEBE) technique couples an isogeometric finite element discretization of a flexible shell…

Numerical Analysis · Mathematics 2015-06-16 T. M. van Opstal

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

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

Robotic manipulation can greatly benefit from the data efficiency, robustness, and predictability of model-based methods if robots can quickly generate models of novel objects they encounter. This is especially difficult when effects like…

Robotics · Computer Science 2023-10-19 Bibit Bianchini , Mathew Halm , Michael Posa

The modeling and simulation of coupled neuromusculoskeletal-exoskeletal systems play a crucial role in human biomechanical analysis, as well as in the design and control of exoskeletons. However, conventional dynamic simulation frameworks…

Robotics · Computer Science 2023-11-07 Wei Jin , Jiaqi Liu , Qiwei Zhang , Xiaoxu Zhang , Qining Wang , Hongbin Fang , Jian Xu

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

Research on control using models based on machine-learning methods has now shifted to the practical engineering stage. Achieving high performance and theoretically guaranteeing the safety of the system is critical for such applications. In…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Ryuta Moriyasu , Masayuki Kusunoki , Kenji Kashima

Dynamical systems theory has long provided a foundation for understanding evolving phenomena across scientific domains. Yet, the application of this theory to complex real-world systems remains challenging due to issues in mathematical…

Machine Learning · Computer Science 2024-11-05 Samuel A. Moore , Brian P. Mann , Boyuan Chen

The Finite Elements with Switch Detection (FESD) is a high-accuracy method for the numerical simulation and solution of optimal control problems subject to discontinuous ODEs. In this article, we extend the FESD method [Nurkanovi\'c et al.,…

Optimization and Control · Mathematics 2023-05-29 Armin Nurkanović , Jonathan Frey , Anton Pozharskiy , Moritz Diehl

Accurately depicting multiphysics interactions in interfacial systems requires computational frameworks capable of reconciling geometric adaptability with strict conservation fidelity. However, traditional spatiotemporal discretisation…

Computational Engineering, Finance, and Science · Computer Science 2025-11-18 Suhaib Ardah , Francisco J. Profito , Daniele Dini

Modelling pedestrian-driver interactions is critical for understanding human road user behaviour and developing safe autonomous vehicle systems. Existing approaches often rely on rule-based logic, game-theoretic models, or 'black-box'…

Artificial Intelligence · Computer Science 2025-11-03 Yueyang Wang , Mehmet Dogar , Gustav Markkula

The paper presents a two-dimensional geometrically nonlinear formulation of a beam element that can accommodate arbitrarily large rotations of cross sections. The formulation is based on the integrated form of equilibrium equations, which…

Numerical Analysis · Mathematics 2021-04-20 Milan Jirásek , Emma La Malfa Ribolla , Martin Horák

Simulation of contact and friction dynamics is an important basis for control- and learning-based algorithms. However, the numerical difficulties of contact interactions pose a challenge for robust and efficient simulators. A…

Robotics · Computer Science 2021-09-16 Jan Brüdigam , Jana Janeva , Stefan Sosnowski , Sandra Hirche