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Collagen is the main structural and load-bearing element of various connective tissues, where it forms the extracellular matrix that supports cells. It has long been known that collagenous tissues exhibit a highly nonlinear stress-strain…

We develop the theory of the coupling between in-plane order and out-of-plane geometry in twisted, two-dimensionally ordered filament bundles based on the non-linear continuum elasticity theory of columnar materials. We show that twisted…

软凝聚态物质 · 物理学 2015-06-03 Gregory M. Grason

Diverging correlation lengths on either side of the jamming transition are used to formulate a rheological model of granular shear flow, based on the propagation of stress through force chain networks. The model predicts three distinct flow…

软凝聚态物质 · 物理学 2009-11-11 Gregg Lois , Jean M. Carlson

We describe a new continuum approach to the modelling of stress propagation in static granular media, focussing on the conical sandpile created from a point source. We argue that the stress continuity equations should be closed by means of…

统计力学 · 物理学 2015-06-25 M. E. Cates , J. P. Wittmer

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…

软凝聚态物质 · 物理学 2017-02-14 Raphael Blumenfeld , Julian Ma

The simplest solvable problem of stress transmission through a static granular material is when the grains are perfectly rigid and have an average coordination number of $\bar{z}=d+1$. Under these conditions there exists an analysis of…

统计力学 · 物理学 2016-08-31 S. F. Edwards , D. V. Grinev

Prestress in amorphous solids bears the memory of their formation, and plays a profound role in their mechanical properties, from stiffening or softening elastic moduli to shifting frequencies of vibrational modes, as well as directing…

软凝聚态物质 · 物理学 2021-10-15 Shang Zhang , Ethan Stanifer , Vishwas Vasisht , Leyou Zhang , Emanuela Del Gado , Xiaoming Mao

A simple micromechanical model of polycrystalline materials is proposed, which enables us to swiftly produce grain-boundary-stress distributions induced by the uniform external loading (in the elastic strain regime). Such statistical…

材料科学 · 物理学 2024-05-24 Timon Mede , Samir El Shawish

We study, using simulations, the steady-state flow of dry sand driven by gravity in two-dimensions. An investigation of the microscopic grain dynamics reveals that grains remain separated but with a power-law distribution of distances and…

软凝聚态物质 · 物理学 2016-08-31 Colin Denniston , Hao Li

We develop a framework for stress response in two dimensional granular media, with and without friction, that respects vector force balance at the microscopic level. We introduce local gauge degrees of freedom that determine the response of…

无序系统与神经网络 · 物理学 2017-10-16 Kabir Ramola , Bulbul Chakraborty

Disordered solids often change their elastic response as they slowly age. Using experiments and simulations, we study how aging disordered planar networks under an applied stress affects their nonlinear elastic response. We are able to…

软凝聚态物质 · 物理学 2020-11-18 Daniel Hexner , Nidhi Pashine , Andrea J. Liu , Sidney R. Nagel

Odd elasticity describes the unusual elastic response of solids whose stress-strain relationship is not compatible with an elastic potential. Here, we present a study of odd elasticity in a driven granular matter system composed of grains…

软凝聚态物质 · 物理学 2023-12-01 Rosalind Huang , Rituparno Mandal , Colin Scheibner , Vincenzo Vitelli

One of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from ``microscopic'' quantities like the contact forces in a granular assembly. Different averaging…

统计力学 · 物理学 2007-05-23 Marc Lätzel , Stefan Luding , Hans J. Herrmann

We present simulations of static model sandpiles in two dimensions (2D) and focus on the stress distribution in such arrays made of discrete particles. We use the simplest possible model, i.e. spherical particles with a linear spring and a…

无序系统与神经网络 · 物理学 2009-10-30 S. Luding

Real-world solids, such as rocks, soft tissues, and engineering materials, are often under some form of stress. Most real materials are also, to some degree, anisotropic due to their microstructure, a characteristic often called the…

经典物理 · 物理学 2022-08-09 Soumya Mukherjee , Michel Destrade , Artur L. Gower

Understanding string dynamics yields insights into the intricate dynamic behaviors of various filamentary thin structures in nature and industry covering multiple length scales. In this work, we investigate the planar dynamics of a flexible…

软凝聚态物质 · 物理学 2018-04-20 Zhenwei Yao

The mechanics of animal cells is strongly determined by stress fibers, which are contractile filament bundles that form dynamically in response to extracellular cues. Stress fibers allow the cell to adapt its mechanics to environmental…

Predicting the mechanical response of the soft gel materials under external deformation is of paramount importance in many areas, such as foods, pharmaceuticals, solid-liquid separations, cosmetics, aerogels and drug delivery. Most of the…

软凝聚态物质 · 物理学 2023-05-22 Divas Singh Dagur , Yezaz Ahmed Gadi Man , Saikat Roy

A simple analytical model of intergranular normal stresses is proposed for a general elastic polycrystalline material with arbitrary shaped and randomly oriented grains under uniform loading. The model provides algebraic expressions for the…

材料科学 · 物理学 2023-04-21 Samir El Shawish , Timon Mede

In many adult tissues, stem cells and differentiated cells are not homogeneously distributed : stem cells are arranged in periodic "niches", and differentiated cells are constantly produced and migrate out of these niches. In this article,…

生物物理 · 物理学 2016-03-23 Edouard Hannezo , Alice Coucke , Jean-François Joanny