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We study the influence of thermal fluctuations on the fracture of elastic networks, via simulations of the uniaxial extension of central-force spring networks with varying rigidity, i.e. connectivity. Studying their failure response, both…

Soft Condensed Matter · Physics 2020-06-09 Justin Tauber , Aimée R. Kok , Jasper van der Gucht , Simone Dussi

Polycrystalline metal failure often begins with stress concentration at grain boundaries. Identifying which microstructural features trigger these events is important but challenging because these extreme damage events are rare and the…

Applications · Statistics 2025-10-28 Yinling Zhang , Samuel D. Dunham , Curt A. Bronkhorst , Nan Chen

A load sharing system has several components and the failure of one component can affect the lifetime of the surviving components. Since component failure does not equate to system failure for different system designs, the analysis of the…

Applications · Statistics 2023-07-20 Tim Pesch , Erhard Cramer , Edward Cripps , Adriano Polpo

The instability introduced in a large scale-free network by the triggering of node-breaking avalanches is analyzed using the fiber-bundle model as conceptual framework. We found, by measuring the size of the giant component, the avalanche…

Statistical Mechanics · Physics 2016-08-16 Y. Moreno , J. B. Gómez , A. F. Pacheco

Numerical simulations of concrete fracture performed with a probabilistic mesoscale discrete model are presented. The model represents a substantial part of material randomness by assigning random locations to the largest aggregates. The…

Computational Engineering, Finance, and Science · Computer Science 2022-08-05 Jan Eliáš , Miroslav Vořechovský

We study the avalanche dynamics in the data packet transport on scale-free networks through a simple model. In the model, each vertex is assigned a capacity proportional to the load with a proportionality constant $1+a$. When the system is…

Statistical Mechanics · Physics 2009-11-10 E. J. Lee , K. -I. Goh , B. Kahng , D. Kim

Crack initiation and propagation are fundamental problems in materials science, often leading to catastrophic failure. While fracture in elastic solids occurs instantaneously above a critical load, viscoelastic materials may sustain high…

Soft Condensed Matter · Physics 2026-05-14 Giuseppe Carbonea , Cosimo Mandriotab , Guido Violanob , Luciano Afferrante , Nicola Menga

We formulate the problem of probabilistic predictions of global failure in the simplest possible model based on site percolation and on one of the simplest model of time-dependent rupture, a hierarchical fiber bundle model. We show that…

Materials Science · Physics 2009-11-11 J. Andersen , D. Sornette

A two-dimensional lattice model with bond disorder is used to investigate the fracture behaviour under stress-controlled conditions. Although the cumulative energy of precursors does not diverge at the critical point, its derivative with…

Materials Science · Physics 2007-05-23 G. Meacci , A. Politi , M. Zei

Slip at a frictional interface occurs via intermittent events. Understanding how these events are nucleated, can propagate, or stop spontaneously remains a challenge, central to earthquake science and tribology. In the absence of disorder,…

Disordered Systems and Neural Networks · Physics 2022-12-21 Tom W. J. de Geus , Matthieu Wyart

The statistics of records for a time series generated by a continuous time random walk is studied, and found to be independent of the details of the jump length distribution, as long as the latter is continuous and symmetric. However, the…

Statistical Mechanics · Physics 2011-04-13 Sanjib Sabhapandit

The statistical ensemble of avalanche intensities is considered to investigate diffusion in ultrametric space of hierarchically subordinated avalanches. The stationary intensity distribution and the steady-state current are obtained. The…

Statistical Mechanics · Physics 2007-05-23 Alexander I. Olemskoi

By applying effective medium-style calculations to random spring networks, we demonstrate that internal stresses fundamentally alter the nature of the rigidity transition in disordered materials, changing it from continuous to first-order…

Materials Science · Physics 2009-11-11 D. A. Head

Crystalline plasticity is strongly interlinked with dislocation mechanics and nowadays is relatively well understood. Concepts and physical models of plastic deformation in amorphous materials on the other hand - where the concept of linear…

Soft Condensed Matter · Physics 2015-02-12 Stefan Sandfeld , Zoe Budrikis , Stefano Zapperi , David Fernandez Castellanos

We present a one-dimensional numerical model based on elastically coupled sliders on a frictional incline of variable tilt. This very simple approach makes possible to study the precursors to the avalanche and to provide a rationalization…

Soft Condensed Matter · Physics 2017-09-20 Axelle Amon , Baptiste Blanc , Jean-Christophe Géminard

We investigate dynamic fracture of heterogeneous materials experimentally by measuring displacement fields as a rupture propagates through a periodic array of obstacles of controlled fracture energy. Our measurements demonstrate the…

Soft Condensed Matter · Physics 2021-07-21 Gabriele Albertini , Mathias Lebihain , François Hild , Laurent Ponson , David S. Kammer

We investigate how the dimensionality of the embedding space affects the microscopic crackling dynamics and the macroscopic response of heterogeneous materials. Using a fiber bundle model with localized load sharing computer simulations are…

Disordered Systems and Neural Networks · Physics 2019-03-01 Zsuzsa Danku , Geza Odor , Ferenc Kun

Near real-time damage diagnosis of building structures after extreme events (e.g., earthquakes) is of great importance in structural health monitoring. Unlike conventional methods that are usually time-consuming and require human expertise,…

Signal Processing · Electrical Eng. & Systems 2019-10-25 Seyed Omid Sajedi , Xiao Liang

Crack formation is conventionally described as a nucleation phenomenon despite the fact that the temperatures necessary to overcome the nucleation barrier are far too high. In this paper we consider the possibility that cracks are created…

Statistical Mechanics · Physics 2009-10-31 Peter F. Arndt , Thomas Nattermann

Solids subject to continuous changes of temperature or mechanical load often exhibit discontinuous avalanche-like responses. For instance, avalanche dynamics have been observed during plastic deformation, fracture, domain switching in…

Statistical Mechanics · Physics 2016-10-27 Francisco J. Perez-Reche
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