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The production of mechanical stresses in living organisms largely relies on localized, force-generating active units embedded in filamentous matrices. Numerical simulations of discrete fiber networks with fixed boundaries have shown that…

Biological Physics · Physics 2018-05-10 Pierre Ronceray , Chase Broedersz , Martin Lenz

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

We study a material modeled as a network of nodes connected by edges. Using a discrete approach, we build a nonlinear algebraic system that connects applied forces to internal forces and node positions. The model can describe elasticity,…

Optimization and Control · Mathematics 2025-10-14 Ioannis Dassios

A MEMS-based sensing device is used to measure the normal and tangential stress fields at the base of a rough elastomer film in contact with a smooth glass cylinder in steady sliding. This geometry allows for a direct comparison between the…

Soft Condensed Matter · Physics 2009-11-15 Julien Scheibert , Alexis Prevost , Georges Debrégeas , Eytan Katzav , Mohktar Adda-Bedia

Stress in dense granular materials and other athermal particle aggregates is transmitted through a visually striking subnetwork of interparticle contacts, the filamentary segments of which are referred to as force chains. The emergence of…

Soft Condensed Matter · Physics 2021-02-16 K. P. Krishnaraj

Based on the convex force-motion polynomial model for quasi-static sliding, we derive the kinematic contact model to determine the contact modes and instantaneous object motion on a supporting surface given a position controlled…

Robotics · Computer Science 2017-05-31 Jiaji Zhou , J. Andrew Bagnell , Matthew T. Mason

The compressive yield stress of particle gels shows a highly nonlinear dependence on the packing fraction. We have studied continuous compression processes, and discussed the packing fraction dependence with the particle scale…

Soft Condensed Matter · Physics 2013-11-22 Ryohei Seto , Robert Botet , Martine Meireles , Günter K. Auernhammer , Bernard Cabane

The effect of increasing structural disorder on the distribution of contact forces P(f), inside three dimensional particle assemblies is systematically studied using computer simulations of model granular packings. Starting from a…

Soft Condensed Matter · Physics 2011-08-02 Leonardo E. Silbert

We investigate the Green function of two-dimensional dense random packings of grains in order to discriminate between the different theories of stress transmission in granular materials. Our computer simulations allow for a detailed…

Soft Condensed Matter · Physics 2009-11-11 N. Gland , P. Wang , Hernan A. Makse

A homogeneous elastic solid, bounded by a flat surface in its unstressed configuration, undergoes a finite strain when in frictionless contact against a rigid and rectilinear constraint, ending with a rounded or sharp corner, in a…

Soft Condensed Matter · Physics 2024-05-21 Francesco Dal Corso , Marco Amato , Davide Bigoni

The shear response of soft solids can be modeled with linear elasticity, provided the forcing is slow and weak. Both of these approximations must break down when the material loses rigidity, such as in foams and emulsions at their…

Soft Condensed Matter · Physics 2016-07-06 Julia Boschan , Daniel Vagberg , Ellak Somfai , Brian P. Tighe

For packings of hard but not perfectly rigid particles, the length scales that govern the packing geometry and the contact forces are well separated. This separation of length scales is explored in the force network ensemble, where one…

Soft Condensed Matter · Physics 2010-08-03 Brian P. Tighe , Jacco H. Snoeijer , Thijs J. H. Vlugt , Martin van Hecke

The problem of a general, symmetric contact, between elastically similar bodies, and capable of idealisation using half-plane theory, is studied in the presence of interfacial friction. It is subject to a constant set of loads - normal…

Soft Condensed Matter · Physics 2019-04-01 Hendrik Andresen , David A. Hills , James R. Barber , Jesus Vazquez

The mechanics of disordered fibrous networks such as those that make up the extracellular matrix are strongly dependent on the local connectivity or coordination number. For biopolymer networks this coordination number is typically between…

Soft Condensed Matter · Physics 2019-05-01 Sadjad Arzash , Jordan L. Shivers , Albert J. Licup , Abhinav Sharma , Fred C. MacKintosh

This paper deals with the complex problem of how to simulate multiparticle contacts. The collision process is responsible for the transfer and dissipation of energy in granular media. A novel model of the interaction force between particles…

Computational Physics · Physics 2007-05-23 Leszczynski Jacek

Network formation of associative semiflexible fibers and mixtures of fibers and colloidal particles is simulated for the Johnson-Kendall-Roberts (JKR) model of elastic contacts, and a phase diagram in terms of particle elasticity and…

Soft Condensed Matter · Physics 2013-06-13 Robert D. Groot

We analyse the general solutions for the stress field in planar annuli of isostatic media, a model often used for marginally rigid granular materials in Couette cells. We demonstrate that these solutions are much richer than in rectangular…

Soft Condensed Matter · Physics 2017-02-14 Raphael Blumenfeld , Julian Ma

In this paper, we propose a model-simulation framework for virtual tensile strength tests of random fiber structures, as they appear in nonwoven materials. The focus is on the efficient handling with respect to the problem-inherent…

Numerical Analysis · Mathematics 2020-10-07 Marc Harmening , Nicole Marheineke , Raimund Wegener

This is the first paper of a series of three, reporting on numerical simulation studies of geometric and mechanical properties of static assemblies of spherical beads under an isotropic pressure. Frictionless systems assemble in the unique…

Disordered Systems and Neural Networks · Physics 2008-02-01 Ivana Agnolin , Jean-Noël Roux

Recent experimental results on the static or quasistatic response of granular materials have been interpreted to suggest the inapplicability of the traditional engineering approaches, which are based on elasto-plastic models (which are…

Soft Condensed Matter · Physics 2007-05-23 Chay Goldenberg , Isaac Goldhirsch