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Anisotropy of interfacial energy is the principal driving force for material microstructure evolution yet its origins remain uncertain and a quantitative description lacking. We present and justify a concise hypothesis on the topography and…

Materials Science · Physics 2013-05-07 Vasily V. Bulatov , Bryan W. Reed , Mukul Kumar

We study the response of a two-dimensional hexagonal packing of rigid, frictionless spherical grains due to a vertically downward point force on a single grain at the top layer. We use a statistical approach, where each configuration of the…

Statistical Mechanics · Physics 2007-05-23 S. Ostojic , D. Panja

The consolidation of suspended particulate matter under external forces such as pressure or gravity is of widespread interest. In this work, we derive a constitutive relation to describe the deformation of a {\it two-dimensional} strongly…

Soft Condensed Matter · Physics 2014-02-26 Saikat Roy , Mahesh S Tirumkudulu

Grain growth is a key process in the thermomechanical treatment of metals. Recently, the presence of local residual stresses within fully recrystallized grains has attracted increasing interest in connection with shear-coupled grain…

It has been claimed that quasistatic granular materials, as well as nanoscale materials, exhibit departures from elasticity even at small loadings. It is demonstrated, using 2D and 3D models with interparticle harmonic interactions, that…

Statistical Mechanics · Physics 2007-05-23 C. Goldenberg , I. Goldhirsch

The response to a localized force provides a sensitive test for different models of stress transmission in granular solids. The elasto-plastic models traditionally used by engineers have been challenged by theoretical and experimental…

Soft Condensed Matter · Physics 2009-11-13 C. Goldenberg , I. Goldhirsch

A bonded particle model is used to explore how variations in the material properties of brittle, isotropic solids affect critical behavior in fragmentation. To control material properties, a new model is proposed which includes breakable…

Soft Condensed Matter · Physics 2023-09-14 Joel T. Clemmer , Mark O. Robbins

Amorphous packings of spheres have been intensely investigated in order to understand the mechanical and flow behaviour of dense granular matter, and to explore universal aspects of the transition from fluid to structurally arrested or…

Soft Condensed Matter · Physics 2016-06-22 H. A. Vinutha , Srikanth Sastry

We analyze the isotropic compaction of mixtures composed of rigid and deformable incompressible particles by the non-smooth contact dynamics approach (NSCD). The deformable bodies are simulated using a hyper-elastic neo-Hookean constitutive…

Soft Condensed Matter · Physics 2020-09-30 Manuel Cárdenas-Barrantes , David Cantor , Jonathan Barés , Mathieu Renouf , Emilien Azéma

Recent advances in single macromolecule experiments have sparked interest in the ensemble dependence of force-extension relations. The thermodynamic limit may not be attainable for such systems, that leads to inequivalence of the…

Soft Condensed Matter · Physics 2018-07-30 Sandipan Dutta , Panayotis Benetatos

Granular heaps are critical in both industrial applications and natural processes, exhibiting complex behaviors that have sparked significant research interest. The stress dip phenomenon observed beneath granular heaps continues to be a…

Soft Condensed Matter · Physics 2024-09-02 Hanyu Li , Houfei Yuan , Zhikun Zeng , Shuyang Zhang , Chijin Zhou , Xinyu Ai , Yujie Wang

Some important biomolecules (for instance, bacterial FtsZ and eukaryotic DNA) are known to posses spontaneous (intrinsic) curvature. Using a simple extension of the wormlike chain model, we study the response of a weakly bending filament in…

Soft Condensed Matter · Physics 2010-03-25 Panayotis Benetatos , Eugene M. Terentjev

We employ a first principles, force-level approach to self-consistently construct the anharmonic tube confinement field for entangled fluids of rigid needles and for primitive-path (PP) level chains in two limiting situations where chain…

Soft Condensed Matter · Physics 2016-12-21 Kenneth S. Schweizer , Daniel M. Sussman

We report experimental evidence of a Gardner-like transition from variable to persistent force contacts in a two-dimensional, bidisperse granular crystal by analyzing the variability of both particle positions and force networks formed…

Soft Condensed Matter · Physics 2022-11-30 Lars Kool , Patrick Charbonneau , Karen E. Daniels

Using cyclic shear to drive a two dimensional granular system, we determine the structural characteristics for different inter-particle friction coefficients. These characteristics are the result of a competition between mechanical…

Soft Condensed Matter · Physics 2021-01-06 Xulai Sun , Walter Kob , Raphael Blumenfeld , Hua Tong , Yujie Wang , Jie Zhang

This paper investigates the statistical behavior of two-dimensional grain microstructures during grain growth under anisotropic grain boundary characters. We employ the threshold-dynamics method, which allows for unparalleled computational…

Materials Science · Physics 2023-09-19 Jaekwang Kim , Nikhil Chandra Admal

We study experimentally the collective motion of grains inside a U shaped tube undergoing vertical oscillations, and we develop a very simple quantitative model that captures relevant features of the observed behaviour. The height…

Soft Condensed Matter · Physics 2016-08-14 I. Sánchez , J. R. Darias , R. Paredes , C. J. Lobb , G. Gutiérrez

We introduce novel sets of measures with the goal of describing dynamical properties of force networks in dense particulate systems. The presented approach is based on persistent homology and allows for extracting precise, quantitative…

Data Analysis, Statistics and Probability · Physics 2015-06-19 Miroslav Kramar , Arnaud Goullet , Lou Kondic , Konstantin Mischaikow

We study a scalar lattice model for inter-grain forces in static, non-cohesive, granular materials, obtaining two primary results. (i) The applied stress as a function of overall strain shows a power law dependence with a nontrivial…

Soft Condensed Matter · Physics 2009-10-31 Matthew G. Sexton , Joshua E. S. Socolar , David G. Schaeffer

Confinement of a slender body into a granular array induces stress localization in the geometrically nonlinear structure, and jamming, reordering, and vertical dislocation of the surrounding granular medium. By varying the initial packing…

Soft Condensed Matter · Physics 2018-02-21 David J. Schunter , Martin Brandenbourger , Sophia Perriseau , Douglas P. Holmes