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Elastic filaments are vital to biological, physical and engineering systems, from cilia driving fluid in the lungs to artificial swimmers and micro-robotics. Simulating slender structures requires intricate balance of elastic, body, active,…

Biological Physics · Physics 2023-06-02 Paul Fuchter , Hermes Bloomfield-Gadêlha

In Part I of this two part series, we presented a multi-neighbor dependent contact model for adhesive elastic-plastic particles built upon the method of dimensionality reduction that is valid for the elastic and fully-plastic contact…

Soft Condensed Matter · Physics 2023-09-15 William Zunker , Ken Kamrin

We present a newly developed approach for the calculation of interfacial stiffness and contact area evolution between two rough bodies exhibiting self affine surface structures. Using spline assisted discretization to define localised…

Soft Condensed Matter · Physics 2021-06-04 Dorian Hanaor , Yixiang Gan , Itai Einav

The objective of this work is the development of a novel finite element formulation describing the contact interaction of slender beams in complex 3D configurations involving arbitrary beam-to-beam orientations. It is shown in a…

Computational Engineering, Finance, and Science · Computer Science 2018-05-28 Christoph Meier , Alexander Popp , Wolfgang A. Wall

This paper develops a comprehensive two-dimensional generalisation of the recently introduced Friction with Bristle Dynamics (FrBD) framework for rolling contact problems. The proposed formulation extends the one-dimensional FrBD model to…

Applied Physics · Physics 2026-05-05 Luigi Romano

We present a deformable Discrete Element Method (DEM) that extends the classical rigid-particle formulation through a reduced-order description of elastic grain-scale deformation. The method hinges on two developments. First, an energetic…

Soft Condensed Matter · Physics 2026-02-16 Thomas Henzel , Konstantinos Karapiperis

Simulating soft matter systems such as the cytoskeleton can enable deep understanding of experimentally observed phenomena. One challenge of modeling such systems is realistic description of the steric repulsion between nearby polymers.…

Soft Condensed Matter · Physics 2021-12-22 Carlos Floyd , Aravind Chandrasekaran , Haoran Ni , Qin Ni , Garegin A. Papoian

We present a discrete element method (DEM) model to simulate the mechanical behavior of sea ice in response to ocean waves. The interaction of ocean waves and sea ice can potentially lead to the fracture and fragmentation of sea ice…

Computational Physics · Physics 2018-08-07 Zhijie Xu , Alexandre M. Tartakovsky , Wenxiao Pan

This paper presents the Virtual Element Method (VEM) for the modeling of crack propagation in 2D within the context of linear elastic fracture mechanics (LEFM). By exploiting the advantage of mesh flexibility in the VEM, we establish an…

Computational Engineering, Finance, and Science · Computer Science 2018-08-02 Vien Minh Nguyen-Thanh , Xiaoying Zhuang , Hung Nguyen-Xuan , Timon Rabczuk , Peter Wriggers

This paper is devoted to the study of a hemivariational inequality modeling the quasistatic bilateral frictional contact between a viscoelastic body and a rigid foundation. The damage effect is built into the model through a parabolic…

Numerical Analysis · Mathematics 2019-12-18 Weimin Han , Michal Jureczka , Anna Ochal

In this paper, we develop a novel phase-field model for fluid-structure interaction (FSI), that is capable to handle very large deformations as well as topology changes like contact of the solid to the domain boundary. The model is based on…

Computational Physics · Physics 2023-05-03 Dominic Mokbel , Helmut Abels , Sebastian Aland

An extension to the interface finite element with eMbedded Profile for Joint Roughness (MPJR interface finite element) is herein proposed for solving the frictional contact problem between a rigid indenter of any complex shape and an…

Soft Condensed Matter · Physics 2025-04-03 Jacopo Bonari , Marco Paggi , José Reinoso

Frictional properties of contacts between a smooth viscoelastic rubber and rigid surfaces are investigated using a torsional contact configuration where a glass lens is continuously rotated on the rubber surface. From the inversion of the…

Soft Condensed Matter · Physics 2017-02-01 M. Trejo , C. Frétigny , A. Chateauminois

We investigate through numerical simulations the hydrodynamic interactions between two rigid spherical particles suspended on the axis of a cylindrical tube filled with an elastoviscoplastic fluid subjected to pressure-driven flow. The…

We develop a Discrete Element Method (DEM) for elastodynamics using polyhedral elements. We show that for a given choice of forces and torques, we recover the equations of linear elastodynamics in small deformations. Furthermore, the…

Numerical Analysis · Mathematics 2016-12-01 Laurent Monasse , Christian Mariotti

To describe many-particle systems suspended in incompressible low-Reynolds-number fluids, effective hydrodynamic interactions can be introduced. Here, we consider particles embedded in elastic media. The effective elastic interactions…

Soft Condensed Matter · Physics 2017-02-07 Mate Puljiz , Shilin Huang , Günter K. Auernhammer , Andreas M. Menzel

We present the Neural Approximated Virtual Element Method to numerically solve elasticity problems. This hybrid technique combines classical concepts from the Finite Element Method and the Virtual Element Method with recent advances in deep…

Numerical Analysis · Mathematics 2025-07-09 Stefano Berrone , Moreno Pintore , Gioana Teora

Faceted shapes, such as polyhedra, are commonly found in systems of nanoscale, colloidal, and granular particles. Many interesting physical phenomena, like crystal nucleation and growth, vacancy motion, and glassy dynamics are challenging…

Computational Physics · Physics 2017-03-08 Matthew Spellings , Ryan L. Marson , Joshua A. Anderson , Sharon C. Glotzer

We present an experiment in which a horizontal quasi-2D granular system with a fixed neighbor network is cyclically compressed and decompressed over 1000 cycles. We remove basal friction by floating the particles on a thin air cushion, so…

Soft Condensed Matter · Physics 2017-08-02 Jonathan E. Kollmer , Karen E. Daniels

Discrete fine-scale models, in the form of either particle or lattice models, have been formulated successfully to simulate the behavior of quasi-brittle materials whose mechanical behavior is inherently connected to fracture processes…

Materials Science · Physics 2016-02-17 Roozbeh Rezakhani , Gianluca Cusatis
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