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We present a new formulation based on the classical Dirichlet-Neumann formulation for interface coupling problems in linearized elasticity. By using Taylor series expansions, we derive a new set of interface conditions that allow our…

数值分析 · 数学 2017-10-06 Pavel Bochev , James Cheung , Max Gunzburger , Mauro Perego

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…

软凝聚态物质 · 物理学 2024-12-20 Flavio Lorez , Mohit Pundir

Slender beam-like structures frequently occur in engineering applications and often interact at discrete locations through joints or connectors. Accurate modeling of such interactions is particularly challenging when different numerical…

计算工程、金融与科学 · 计算机科学 2026-04-13 Ivo Steinbrecher , Nora Hagmeyer , Christoph Meier , Alexander Popp

With the increasing demand for the accuracy of numerical simulation of pavement mechanics, the variational inequality model and its induced finite element method which can simulate the interlayer contact state becomes a potential solution.…

数值分析 · 数学 2024-06-10 Zhizhuo Zhang , Xiaobing Nie , Mikaël Barboteu , Jinde Cao

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…

机器人学 · 计算机科学 2024-10-21 Zeshun Zong , Chenfanfu Jiang , Xuchen Han

In this paper, we present a principled method to model general planar sliding motion with distributed convex contact patch. The effect of contact patch with indeterminate pressure distribution can be equivalently modeled as the contact…

机器人学 · 计算机科学 2019-04-18 Jiayin Xie , Nilanjan Chakraborty

The quasistatic normal-compliance contact problem of isotropic homogeneous linear visco-elastic bodies with Coulomb friction at small strains in Kelvin-Voigt rheology is considered. The discretization is made by a semi-implicit formula in…

数值分析 · 数学 2016-12-14 Roman Vodička , Vladislav Mantič , Tomáš Roubíček

We evaluate a number of different finite element approaches for fluid-structure (contact) interaction problems against data from physical experiments. For this we take the data from experiments by Hagemeier [Mendeley Data, doi:…

流体动力学 · 物理学 2021-03-03 Henry von Wahl , Thomas Richter , Stefan Frei , Thomas Hagemeier

Numerical and analytical methods are developed for the investigation of contact sets in electrostatic-elastic deflections modeling micro-electro mechanical systems. The model for the membrane deflection is a fourth-order semi-linear partial…

数值分析 · 数学 2020-04-20 Kelsey L. DiPietro , Ronald D. Haynes , Weizhang Huang , Alan E. Lindsay , Yufei Yu

We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is governed by surface diffusion and contact line (point)…

数值分析 · 数学 2020-06-08 Quan Zhao , Wei Jiang , Weizhu Bao

We study an unsteady non linear fluid-structure interaction problem which is a simplified model to describe blood flow through viscoleastic arteries. We consider a Newtonian incompressible two-dimensional flow described by the Navier-Stokes…

偏微分方程分析 · 数学 2016-02-17 C. Grandmont , M. Hillairet

In this article, we present a numerical approach to ensure the preservation of physical bounds on the solutions to linear and nonlinear hyperbolic convection-reaction problems at the discrete level. We provide a rigorous framework for error…

数值分析 · 数学 2025-01-22 Ben S. Ashby , Abdalaziz Hamdan , Tristan Pryer

This paper extends the distributed rolling contact FrBD framework to linear viscoelasticity by considering classic derivative Generalised Maxwell and Kelvin-Voigt rheological representations of the bristle element. With this modelling…

应用物理 · 物理学 2026-04-30 Luigi Romano

Dynamic fragmentation simulations are essential for predicting material response at high strain rates, yet explicit dynamic simulations that combine an extrinsic cohesive-zone model (CZM) with penalty-based contact often exhibit severe…

Soft dielectric elastomers that can exhibit extremely large deformations under the action of an electric field enable applications such as soft robotics, biomedical devices, energy harvesting among others. A key impediment in the use of…

软凝聚态物质 · 物理学 2025-05-13 Daniel Katusele , Carmel Majidi , Kaushik Dayal , Pradeep Sharma

In this work, the Cosserat formulation of geometrically exact beam dynamics is extended by adding the electric potential as an additional degree of freedom to account for the electromechanical coupling in the Dielectric Elastomer Actuators…

计算工程、金融与科学 · 计算机科学 2021-12-01 Dengpeng Huang , Sigrid Leyendecker

Elastic contact in hydrodynamic environments is a complex multiphysics phenomenon and can be found in applications ranging from engineering to biological systems. Understanding the intricacies of this coupled problem requires the…

流体动力学 · 物理学 2024-09-17 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

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…

数值分析 · 数学 2026-03-09 Pablo Antolin , Khanh Nguyen , José M. Goicolea

This paper concerns with finite element approximations of a quasi-static poroelasticity model in displacement-pressure formulation which describes the dynamics of poro-elastic materials under an applied mechanical force on the boundary. To…

数值分析 · 数学 2014-12-01 Xiaobing Feng , Zhihao Ge , Yukun Li

We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stress-stretch and voltage-stretch tests. We show how the relationship between electric displacement and…

软凝聚态物质 · 物理学 2018-11-14 Giuseppe Zurlo , Michel Destrade , Tongqing Lu