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We study the role of record statistics of damage avalanches in predicting the fracture of a heterogeneous material under tensile loading. The material is modeled using a two-dimensional random spring network where disorder is introduced…

Statistical Mechanics · Physics 2023-12-05 Subrat Senapati , Subhadeep Roy , Anuradha Banerjee , R. Rajesh

Plastic deformation in amorphous solids is carried by localized shear transformations that self-organize into avalanches. In amorphous carbon modeled with a machine-learned interatomic potential, we find that the energetics and organization…

Materials Science · Physics 2026-04-28 Fraser Birks , Ibrahim Ghanem , Lars Pastewka , James Kermode , Maciej Buze

Avalanches are often defined as signals higher than some detection level in bursty systems. The choice of the detection threshold affects the number of avalanches, but it can also affect their temporal correlations. We simulated the…

Statistical Mechanics · Physics 2022-06-02 Juha Savolainen , Lasse Laurson , Mikko Alava

We analyze a two-dimensional spring network model comprising breakable and unbreakable springs. Computer simulations showed this system to exhibit intermittent stress drops in a larger strain regime, and these stress drops resulted in…

Statistical Mechanics · Physics 2024-05-02 Haruka Noguchi , Satoshi Yukawa

Scale-invariant avalanches -- with events of all sizes following power-law distributions -- are considered critical. Above the upper critical dimension of four, the mean-field solution with a robust $3/2$ size exponent describes the…

Statistical Mechanics · Physics 2026-02-03 K. Duplat , A. Douin , O. Ramos

Yield stress fluids display complex dynamics, in particular when driven into the transient regime between the solid and the flowing state. Inspired by creep experiments on dense amorphous materials, we implement mesocale elasto-plastic…

Soft Condensed Matter · Physics 2018-10-01 Chen Liu , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

This work is concerned with the purely dissipative version of a well-established model of rate-independent strain-gradient plasticity. In the conventional theory of plasticity the approach to determining plastic flow is local, and based on…

Classical Physics · Physics 2020-08-26 B. D. Reddy , S. Sysala

Much of the progress achieved in understanding plasticity and failure in amorphous solids had been achieved using experiments and simulations in which the materials were loaded using strain control. There is paucity of results under stress…

Statistical Mechanics · Physics 2015-06-19 Vladimir Dailidonis , Valery Ilyin , Pankaj Mishra , Itamar Procaccia

Uniform spherical beads were used to explore the behavior of a granular system near its critical angle of repose on a conical bead pile. We found two tuning parameters that could take the system to a critical point where a simple power-law…

We use a discrete-time formulation to study the asymmetric avalanche process [Phys. Rev. Lett. vol. 87, 084301 (2001)] on a finite ring and obtain an exact expression for the average avalanche size of particles as a function of toppling…

Statistical Mechanics · Physics 2009-11-10 A. M. Povolotsky , V. B. Priezzhev , Chin-Kun Hu

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

Disordered Systems and Neural Networks · Physics 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

We report arrays of monodisperse water-in-oil microdroplets printed onto a substrate in a form of a compact linear chain -- a 1D-crystal -- pinned at one end. The chain spontaneously collapses under capillary forces via a sequence of…

Soft Condensed Matter · Physics 2024-06-24 Ronald Terrazas Mallea , Jonathan Pullas Navarrete , Jan Guzowski

The ubiquitous wall slip behavior of viscoplastic fluids renders the analysis of their steady torsional flow data to determine their yield stress and other parameters of their shear viscosity material function challenging. Roughened…

Fluid Dynamics · Physics 2021-06-28 Dilhan M. Kalyon

Plastic deformation of crystalline and amorphous matter often involves intermittent local strain burst events. To understand the physical background of the phenomenon a minimal stochastic mesoscopic model was introduced, where…

Materials Science · Physics 2017-02-15 Péter Dusán Ispánovity , Dániel Tüzes , Péter Szabó , Michael Zaiser , István Groma

We review limiting models for fracture in bundles of fibers, with statistically distributed thresholds for breakdown of individual fibers. During the breakdown process, avalanches consisting of simultaneous rupture of several fibers occur,…

Statistical Mechanics · Physics 2009-10-30 M. Kloster , A. Hansen , P. C. Hemmer

Fiber bundles with statistically distributed thresholds for breakdown of individual fibers are interesting models of the static and dynamics of failures in materials under stress. They can be analyzed to an extent that is not possible for…

Soft Condensed Matter · Physics 2009-09-29 Per C. Hemmer , Alex Hansen , Srutarshi Pradhan

Cascading large-amplitude bursts in neural activity, termed avalanches, are thought to provide insight into the complex spatially distributed interactions in neural systems. In human neuroimaging, for example, avalanches occurring during…

Neurons and Cognition · Quantitative Biology 2021-07-28 Kanika Bansal , Javier O. Garcia , Nina Lauharatanahirun , Sarah F. Muldoon , Paul Sajda , Jean M. Vettel

Strain rate sensitivity is a key feature of material deformation, whose importance is growing both because miniaturized components experience higher effective rates and because small scale simulations increasingly probe such conditions. As…

Materials Science · Physics 2026-01-01 M. Aissaoui , C. Kahloun , O. U. Salman , S. Queyreau

We formulate a phenomenological elasto-plastic theory to describe a solid undergoing a structural transition from a square (p4mm) to an oblique (p2) lattice in two dimensions. Within our theory, the components of the strain may be…

Materials Science · Physics 2010-03-18 Arya Paul , Surajit Sengupta , Madan Rao

It is well known experimentally that well-quenched amorphous solids exhibit a plastic instability in the form of a catastrophic shear localization at a well defined value of the external strain. The instability may develop to a shear-band…

Soft Condensed Matter · Physics 2015-02-05 Ashwin J. , Oleg Gendelman , Itamar Procaccia , Carmel Shor