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In this work, a higher-order irrotational strain gradient plasticity theory is studied in the small strain regime. A detailed numerical study is based on the problem of simple shear of a non-homogeneous block comprising an elastic-plastic…

Materials Science · Physics 2019-06-26 Nothando Mhlongo , B Daya Reddy

The mechanics of cohesive or cemented granular materials is complex, combining the heterogeneous responses of granular media, like force chains, with clearly defined material properties. Here, we use a discrete element model (DEM)…

Soft Condensed Matter · Physics 2020-11-17 Yuta Yamaguchi , Soumyajyoti Biswas , Takahiro Hatano , Lucas Goehring

In a recent paper [Phys. Rev. X 12, 031021], we reported experimental observations of ``ultrastable'' states in a shear-jammed granular system subjected to small-amplitude cyclic shear. In such states, all the particle positions and contact…

Soft Condensed Matter · Physics 2022-12-06 Yiqiu Zhao , Yuchen Zhao , Dong Wang , Hu Zheng , Bulbul Chakraborty , Joshua E. S. Socolar

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 granular system composed of frictional glass beads is simulated using the Discrete Element Method. The inter-grain forces are based on the Hertz contact law in the normal direction with frictional tangential force. The damping due to…

Geophysics · Physics 2017-12-06 Laure Lemrich , Paul A. Johnson , Robert Guyer , Xiaoping Jia , Jan Carmeliet

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

Pattern Formation and Solitons · Physics 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

We study the nonlinear elastic response of a two-dimensional material to a localized boundary force, with the particular goal of understanding the differences observed between isotropic granular materials and those with hexagonal…

Soft Condensed Matter · Physics 2009-11-13 B. P. Tighe , J. E. S. Socolar

In the present work, the overall nonlinear elastic behavior of a 1D multi-modular structure incorporating possible imperfections at the discrete (micro-scale) level, is derived with respect to both tensile and compressive applied loads. The…

Soft Condensed Matter · Physics 2019-04-10 S. Palumbo , L. Deseri , D. R. Owen , M. Fraldi

Fractal patterns are observed in computational mechanics of elastic-plastic transitions in two models of linear elastic/perfectly-plastic random heterogeneous materials: (1) a composite made of locally isotropic grains with weak random…

Statistical Mechanics · Physics 2015-05-13 J. Li , M. Ostoja-Starzewski

Atomistic deformation simulations in the nominally elastic regime are performed for a model binary glass with strain rates as low as $10^{4}$/sec (corresponding to 0.01 shear strain per 1$\mu$sec). A robust elasticity is revealed that…

Soft Condensed Matter · Physics 2020-11-21 P. M. Derlet , R. Maass

Recoverable strain is the strain recovered once a stress is removed from a body, in the direction opposite to that in which the stress had acted. To date, the phenomenon has been understood as being elastic in origin: polymer chains…

Soft Condensed Matter · Physics 2025-05-07 Henry A. Lockwood , Suzanne M. Fielding

The early planetesimal growth proceeds through a sequence of sticking collisions of dust agglomerates. Very uncertain is still the relative velocity regime in which growth rather than destruction can take place. The outcome of a collision…

Earth and Planetary Astrophysics · Physics 2013-01-17 Alexander Seizinger , Roland Speith , Wilhelm Kley

This work presents a detailed review of the methods proposed to implement Mindlin's no-slip and partial slip model under constant normal loading and Mindlin Deresiewicz's extensional work on micro-slip under varying normal loading, for the…

Other Condensed Matter · Physics 2025-09-10 S Ganguli , P S Goswami , M Bose

Failure of amorphous materials is characterized by the emergence of dissipation. The connection between particle dynamics, dissipation, and overall material rheology, however, has still not been elucidated. Here, we take a new approach…

Soft Condensed Matter · Physics 2021-08-09 K. L. Galloway , D. J. Jerolmack , P. E. Arratia

We study a mesoscopic elasto-plastic model of amorphous matter with varying dimensionless compression modulus, $K/\mu$, where $K$ and $\mu$ are the compression and shear moduli. We study both cyclic shear with amplitude $\Gamma$ and forward…

Soft Condensed Matter · Physics 2026-03-25 A. Elgailani , D. Vandembroucq , C. E. Maloney

We perform molecular dynamic (MD) simulations of frictional non-thermal particles driven by an externally applied shear stress. After the system jams following a transient flow, we probe its mechanical response in order to clarify whether…

Soft Condensed Matter · Physics 2012-02-09 Raffaele Pastore , Massimo Pica Ciamarra , Antonio Coniglio

The linear-frictional contact model is the most commonly used contact mechanism for discrete element (DEM) simulations of granular materials. Linear springs with a frictional slider are used for modeling interactions in directions normal…

Computational Engineering, Finance, and Science · Computer Science 2020-02-25 Matthew R. Kuhn , Kiichi Suzuki , Ali Daouadji

The mechanical behavior of disordered materials such as dense suspensions, glasses or granular materials depends on their thermal and mechanical past. Here we report the memory behavior of a quenched mesoscopic elasto-plastic (QMEP) model.…

Soft Condensed Matter · Physics 2024-09-13 Dheeraj Kumar , Muhittin Mungan , Sylvain Patinet , Damien Vandembroucq

This paper describes a modification of Ehlers' model for the inelastic behavior of granular media. The modified model can be applied for describing the inelastic behavior of porous media. The key feature is a subtle change of the yield…

Soft Condensed Matter · Physics 2023-07-21 Martin Abendroth , Alexander Malik , Bjoern Kiefer

Micron-scale single crystalline materials deform plastically via large intermittent strain bursts that make the deformation process unpredictable. Here we investigate this stochastic phenomenon by analysing the plastic response of an…