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We investigate by means of computer simulations the effect of structural disorder on the statistics of cracking for a thin layer of material under uniform and isotropic drying. The layer is discretized into a triangular lattice of springs.…

Statistical Mechanics · Physics 2011-10-13 Gabriel Villalobos , Ferenc Kun , José D. Muñoz

Instability patterns of rolling up a sleeve appear more intricate than the ones of walking over a rug on floor, both characterized as uniaxially compressed soft-film/stiff-substrate systems. This can be explained by curvature effects. To…

Soft Condensed Matter · Physics 2018-05-28 Yifan Yang , Hui-Hui Dai , Fan Xu , Michel Potier-Ferry

Understanding crack propagation in structures subjected to fluid loads is crucial in various engineering applications, ranging from underwater pipelines to aircraft components. This study investigates the dynamic response of structures,…

Computational Engineering, Finance, and Science · Computer Science 2023-10-06 Md Rushdie Ibne Islam

As a consequence of shearing, wing cracks can emerge from pre-existing fractures. The process involves the interaction of sliding of the existing fracture surfaces and the tensile material failure that creates wing cracks. This work devises…

Numerical Analysis · Mathematics 2020-09-11 Hau Dang-Trung , Eirik Keilegavlen , Inga Berre

Two laboratory scale experiments of dry and under-water avalanches of non-cohesive granular materials are investigated. We trigger solitary waves and study the conditions under which the front is transversally stable. We show the existence…

Soft Condensed Matter · Physics 2009-11-11 F. Malloggi , J. Lanuza , B. Andreotti , E. Clément

We present solutions for the self-similar propagation of a shock wave in a hydrostatic, adiabatic medium with a point mass gravitational field. In contrast to the well-known, Sedov-Taylor blastwave, these solutions apply to the case when…

High Energy Astrophysical Phenomena · Physics 2018-08-29 Eric R. Coughlin , Eliot Quataert , Stephen Ro

We analyze 21 aftershock sequences of California to test for evidence of space-time diffusion. Aftershock diffusion may result from stress diffusion and is also predicted by any mechanism of stress weakening. Here, we test an alternative…

Geophysics · Physics 2015-06-26 Agnes Helmstetter , Guy Ouillon , Didier Sornette

Large scale networks delineating collective dynamics often exhibit cascading failures across nodes leading to a system-wide collapse. Prominent examples of such phenomena would include collapse on financial and economic networks.…

Statistical Finance · Quantitative Finance 2020-01-07 Sudarshan Kumar , Tiziana Di Matteo , Anindya S. Chakrabarti

Dynamic crack propagation drives catastrophic solid failures. In many amorphous brittle materials, sufficiently fast crack growth involves small-scale, high-frequency microcracking damage localized near the crack tip. The ultra-fast…

Materials Science · Physics 2012-03-30 Claudia Guerra , Julien Scheibert , Daniel Bonamy , Davy Dalmas

Mean-field coupled lattice maps are used to approximate the physics of driven threshold systems with long range interactions. However, they are incapable of modeling specific features of the dynamic instability responsible for generating…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Eric F. Preston , Jorge S. Sa Martins , John Rundle

The problem of the spreading of a granular mass released at the top of a rough inclined plane was investigated. We experimentally measure the evolution of the avalanche from the initiation up to the deposit using a Moir\'e image processing…

Soft Condensed Matter · Physics 2019-06-19 Olivier Pouliquen , Yoel Forterre

At low temperatures the critical state in superconducting films can be unstable with respect to thermomagnetic dendritic avalanches. By numerical simulations of disk-shaped superconductors, we consider how the dynamics and morphology of the…

Superconductivity · Physics 2013-09-26 J. I. Vestgarden , Y. M. Galperin , T. H. Johansen

Surface waves play important roles in many fundamental and applied areas from seismic detection to material characterizations. Supershear surface waves with propagation speeds greater than bulk shear waves have recently been reported, but…

Soft Condensed Matter · Physics 2022-10-19 Guo-Yang Li , Xu Feng , Antoine Ramier , Seok-Hyun Yun

In many complex systems a continuous input of energy over time can be suddenly relaxed in the form of avalanches. Conventional avalanche models disregard the possibility of internal dynamical effects in the inter-avalanche periods, and thus…

Statistical Mechanics · Physics 2015-07-02 E. A. Jagla , François P. Landes , Alberto Rosso

In this thesis I discuss analytical approaches to disordered systems using field theory. Disordered systems are characterized by a random energy landscape due to heterogeneities, which remains fixed on the time scales of the phenomena…

Disordered Systems and Neural Networks · Physics 2013-12-30 Alexander Dobrinevski

We study the diffusion of anti-plane elastic waves in a two dimensional continuum by many, randomly placed, screw dislocations. Building on a previously developed theory for coherent propagation of such waves, the incoherent behavior is…

Materials Science · Physics 2016-08-30 Dmitry Churochkin , Fernando Lund

A dissipative stochastic sandpile model is constructed and studied on small world networks in one and two dimensions with different shortcut densities $\phi$, where $\phi=0$ represents regular lattice and $\phi=1$ represents random network.…

Statistical Mechanics · Physics 2022-02-23 Himangsu Bhaumik , S. B. Santra

Amorphous solids are yield stress materials that flow when a sufficient load is applied. Their flow consists of periods of elastic loading interrupted by rapid stress drops, or avalanches, coming from microscopic rearrangements known as…

Disordered Systems and Neural Networks · Physics 2021-09-08 Daniel Korchinski , Céline Ruscher , Jörg Rottler

Disordered materials under an imposed forcing can display creep and aging effects, accompanied by intermittent, spatially heterogeneous dynamics. We propose a unifying microscopic description of these phenomena, based on the notion that as…

Disordered Systems and Neural Networks · Physics 2024-09-27 Daniel J. Korchinski , Dor Shohat , Yoav Lahini , Matthieu Wyart

We present a continuum theory which describes the fast growth of a crack by surface diffusion. This mechanism overcomes the usual cusp singularity by a self-consistent selection of the crack tip radius. It predicts the saturation of the…

Materials Science · Physics 2009-11-07 Efim A. Brener , Robert Spatschek
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