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Related papers: Avalanche Dynamics of Crack Propagation and Contac…

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Motivated by recent experiments, we extend the Joanny-deGennes calculation of the elasticity of a contact line to an arbitrary contact angle and an arbitrary plate inclination in presence of gravity. This requires a diagonalization of the…

Disordered Systems and Neural Networks · Physics 2015-05-14 Pierre Le Doussal , Kay Joerg Wiese

We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition of two crack…

Disordered Systems and Neural Networks · Physics 2013-08-28 Knut Skogstrand Gjerden , Arne Stormo , Alex Hansen

We study avalanches in a model for a planar crack propagating in a disordered medium. Due to long-range interactions, avalanches are formed by a set of spatially disconnected local clusters, the sizes of which are distributed according to a…

Statistical Mechanics · Physics 2015-05-14 Lasse Laurson , Stephane Santucci , Stefano Zapperi

We investigate crack propagation in a simple two-dimensional visco-elastic model and find a scaling regime in the relation between the propagation velocity and energy release rate or fracture energy, together with lower and upper bounds of…

Materials Science · Physics 2017-06-22 Yuko Aoyanagi , Ko Okumura

The propagation of a crack front in disordered materials is jerky and characterized by bursts of activity, called avalanches. These phenomena are the manifestation of an out-of-equilibrium phase transition originated by the disorder. As a…

Statistical Mechanics · Physics 2020-04-14 Clément Le Priol , Julien Chopin , Pierre Le Doussal , Laurent Ponson , Alberto Rosso

The depinning of a contact line is studied as a dynamical critical phenomenon by a functional renormalization group technique. In $D=2-\epsilon$ interface dimensions, the roughness exponent is $\zeta=\epsilon/3$ to all orders in…

Condensed Matter · Physics 2009-10-22 Deniz Ertas , Mehran Kardar

We study the correlations between avalanches in the depinning dynamics of elastic interfaces driven on a random substrate. In the mean field theory (the Brownian force model), it is known that the avalanches are uncorrelated. Here we obtain…

Disordered Systems and Neural Networks · Physics 2020-03-18 Pierre Le Doussal , Thimothée Thiery

We analyze the scaling of the crack roughness and of avalanche precursors in the two dimensional random fuse model by numerical simulations, employing large system sizes and extensive sample averaging. We find that the crack roughness…

Statistical Mechanics · Physics 2009-11-10 Stefano Zapperi , Phani Kumar V. V. Nukala , Srdan Simunovic

We investigate propagating fronts in disordered media that belong to the universality class of wetting contact lines and planar tensile crack fronts. We derive from first principles their nonlinear equations of motion, using the generalized…

Materials Science · Physics 2008-04-21 E. Katzav , M. Adda-Bedia , M. Ben Amar , A. Boudaoud

Shear cracks propagation is a basic dynamical process that mediates interfacial failure. We develop a general weakly nonlinear elastic theory of shear cracks and show that these experience tensile-mode crack tip deformation, including…

Materials Science · Physics 2015-06-03 Roi Harpaz , Eran Bouchbinder

The dynamics of a single crack moving through a heterogeneous medium is studied in the quasi-static approximation. Equations of motion for the crack front are formulated and the resulting scaling behaviour analyzed. In a model scalar system…

Disordered Systems and Neural Networks · Physics 2009-10-28 Sharad Ramanathan , Deniz Ertaş , Daniel S. Fisher

We perform large scale simulations of a two dimensional lattice model for amorphous plasticity with random local yield stresses and long-range quadrupolar elastic interactions. We show that as the external stress increases towards the…

Soft Condensed Matter · Physics 2013-12-12 Zoe Budrikis , Stefano Zapperi

We propose an approach to describe the propagation of a crack (or boundary of an adhesive contact) in a viscoelastic material which is only based on the consideration of the rheology of the material without the introduction of any…

Soft Condensed Matter · Physics 2018-05-21 Emanuel Willert , Valentin L. Popov

We study the critical behavior of a driven interface in a medium with random pinning forces by analyzing spatial and temporal correlations in a lattice model recently proposed by Sneppen [Phys. Rev. Lett. {\bf 69}, 3539 (1992)]. The static…

Condensed Matter · Physics 2009-10-22 Heiko Leschhorn , Lei-Han Tang

Disordered elastic interfaces display avalanche dynamics at the depinning transition. For short-range interactions, avalanches correspond to compact reorganizations of the interface well described by the depinning theory. For long-range…

Statistical Mechanics · Physics 2021-01-20 Clément Le Priol , Pierre Le Doussal , Alberto Rosso

Elastic interfaces in quenched random media driven by external forces exhibit a continuous depinning phase transition between pinned and moving phases at a critical external force. Recent work [Phys. Rev. Lett. 129, 175701 (2022)] has shown…

Statistical Mechanics · Physics 2026-02-03 Tuuli Sillanpää , Sanni Nousiainen , Lasse Laurson

We have studied the roughness of a contact line of a liquid meniscus on a disordered substrate by measuring its width distribution. The comparison between the measured width distribution and the width distribution calculated in previous…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sebastien Moulinet , Alberto Rosso , Werner Krauth , Etienne Rolley

The dynamics of a "peeling front" or an elastic line is studied under creep (constant load) conditions. Our experiments show an exponential dependence of the creep velocity on the inverse force (mass) applied. In particular, the dynamical…

Materials Science · Physics 2008-11-28 Jari Rosti , Juha Koivisto , Paola Traversa , Xavier Illa , Jean-Robert Grasso , Mikko J. Alava

We study avalanche dynamics and local activity of forced-flow imbibition fronts in disordered media. We focus on the front dynamics as the mean velocity $\bar{v}$ of the interface is decreased and the pinning state is approached. Scaling…

Statistical Mechanics · Physics 2010-03-05 Marc Pradas , Juan M. López , A. Hernández-Machado

We study the effect of the sample thickness in planar crack front propagation in a disordered elastic medium using the random fuse model. We employ different loading conditions and we test their stability with respect to crack growth. We…

Disordered Systems and Neural Networks · Physics 2015-06-16 Pallab Barai , Phani K. V. V. Nukala , Mikko J. Alava , Stefano Zapperi
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