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In this letter, we develop a framework to study the mechanical response of athermal amorphous solids via a coupling of mesoscale and microscopic models. Using measurements of coarse grained quantities from simulations of dense disordered…

Soft Condensed Matter · Physics 2021-04-07 Chen Liu , Suman Dutta , Pinaki Chaudhuri , Kirsten Martens

Collective behaviors in cellular systems are regulated not only by biochemical signalling pathways but also by intercellular mechanical forces, whose quantification in contractile monolayers remains poorly understood. Here, by integrating…

Quantitative Methods · Quantitative Biology 2025-10-30 Yucheng Huo , Kexin Guo , Massimo Paradiso , K. Jimmy Hsia

This paper proposes a phase space to compare the static packings of a granular system compatible to a macrostate that is set by the external stress. The nature of this phase space is analyzed, showing that the consideration of the allowed…

Soft Condensed Matter · Physics 2019-02-20 Ignacio G. Tejada

We experimentally and numerically examine stress-dependent electrical transport in granular materials to elucidate the origins of their universal dielectric response. The ac responses of granular systems under varied compressive loadings…

Disordered Systems and Neural Networks · Physics 2019-10-25 Chongpu Zhai , Dorian Hanaor , Gwénaëlle Proust , Yixiang Gan

Disordered soft materials, such as fibrous networks in biological contexts exhibit a nonlinear elastic response. We study such nonlinear behavior with a minimal model for networks on lattice geometries with simple Hookian elements with…

Soft Condensed Matter · Physics 2015-03-13 M. Sheinman , C. P. Broedersz , F. C. MacKintosh

Network analysis provides a powerful framework for the interpretation of genome-wide data. While static network approaches have proved fruitful, there is increasing interest in the insights gained from the analysis of cellular networks…

We characterize the force state of shear-loaded granular matter by relating the macroscopic stress to statistical properties of the force network. The purely repulsive nature of the interaction between grains naturally provides an upper…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wouter G. Ellenbroek , Jacco H. Snoeijer

The stress-gradient theory has a third order tensor as kinematic degree of freedom, which is work-conjugate to the stress gradient. This tensor was called micro-displacements just for dimensional reasons. Consequently, this theory requires…

Computational Physics · Physics 2020-02-19 Geralf Hütter , Karam Sab , Samuel Forest

We use a minimal model for a dense suspension undergoing thickening and thinning to investigate microstructural changes in 2d simulations. Our simulations show that in steady flow the contact network contains distinct building blocks which…

Soft Condensed Matter · Physics 2026-04-15 William C. J. Buchholtz , Daniel L. Blair , Jeffrey S. Urbach , H. A. Vinutha , Emanuela Del Gado

Using discrete calculus, we derive the missing stress-geometry equation for rigid granular materials in two dimensions, in the mean-field approximation. We show that (i) the equation imposes that the voids cannot carry stress, (ii) stress…

Soft Condensed Matter · Physics 2014-02-11 Eric DeGiuli , Christian Schoof

We experimentally and computationally analyze impact-shock-induced stress wave propagation in packings of disordered flexible fibers. We find that dispersive wave propagation, associated with large stress attenuation, occurs much more…

Soft Condensed Matter · Physics 2025-02-04 Peng Wang , Thomas Pähtz , Kun Luo , Yu Guo

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

The mechanics of granular media at low liquid saturation levels remain poorly understood. Macroscopic mechanical properties are affected by microscale forces and processes, such as capillary forces, inter-particle friction, liquid flows,…

Soft Condensed Matter · Physics 2017-09-04 Filippo Bianchi , Marcel Thielmann , Roman Mani , Dani Or , Hans Juergen Herrmann

The evolution of the internal granular structure in shear-arrested and shear-flowing states of granular materials is characterized using fabric tensors as descriptors of the internal contact and force networks. When a dilute system of…

Soft Condensed Matter · Physics 2020-05-20 Ishan Srivastava , Jeremy B. Lechman , Gary S. Grest , Leonardo E. Silbert

The origin of rigidity in disordered materials is an outstanding open problem in statistical physics. Previously, a class of 2D cellular models has been shown to undergo a rigidity transition controlled by a mechanical parameter that…

Soft Condensed Matter · Physics 2023-01-18 Matthias Merkel , Lisa Manning

The vertex model is a popular framework for modelling tightly packed biological cells, such as confluent epithelia. Cells are described by convex polygons tiling the plane and their equilibrium is found by minimizing a global mechanical…

Biological Physics · Physics 2021-03-17 Oliver E. Jensen , Emma Johns , Sarah Woolner

Stress induced yielding/fluidization in disordered solids, characterized by irreversibility and enhanced dissipation, is important for a wide range of industrial and geological processes. Although, such phenomena in thermal systems have…

Soft Condensed Matter · Physics 2022-06-28 Sebanti Chattopadhyay , Sharadhi Nagaraja , Sayantan Majumdar

Transmission of forces in static granular materials are studied within the framework of the force network ensemble, by numerically evaluating the mechanical response of hexagonal packings of frictionless grains and rectangular packings of…

Soft Condensed Matter · Physics 2007-05-23 Srdjan Ostojic , Debabrata Panja

The complexity of the cells can be described and understood by a number of networks such as protein-protein interaction, cytoskeletal, organelle, signalling, gene transcription and metabolic networks. All these networks are highly dynamic…

Molecular Networks · Quantitative Biology 2007-07-26 Mate S. Szalay , Istvan A. Kovacs , Tamas Korcsmaros , Csaba Bode , Peter Csermely

In recent work it was clarified that amorphous solids under strain control do not possess nonlinear elastic theory in the sense that the shear modulus exists but nonlinear moduli exhibit sample to sample fluctuations that grow without bound…

Soft Condensed Matter · Physics 2017-03-29 Vladimir Dailidonis , Valery Ilyin , Itamar Procaccia , Carmel A. B. Z. Shor