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The scaling properties of one-dimensional deconstructed surfaces are studied by numerical simulations of a disaggregation model. The model presented here for the disaggregation process takes into account the possibility of having quenched…

Statistical Mechanics · Physics 2007-05-23 Juan R. Sanchez

The morphology of fracture surfaces encodes the various complex damage and fracture processes occurring at the microstructure scale that have lead to the failure of a given heterogeneous material. Understanding how to decipher this…

Statistical Mechanics · Physics 2009-11-11 Laurent Ponson , Daniel Bonamy , Elisabeth Bouchaud

Three dimensional calculations of ductile crack growth under mode I plane strain, small scale yielding conditions are carried out using an elastic-viscoplastic constitutive relation for a progres- sively cavitating plastic solid with two…

Stress enhancement in the vicinity of brittle cracks makes the macro-scale failure properties extremely sensitive to the micro-scale material disorder. Therefore: (i) Fracturing systems often display a jerky dynamics, so-called crackling…

Statistical Mechanics · Physics 2010-01-04 D. Bonamy

Self-affine rough interfaces are ubiquitous in experimental systems, and display characteristic scaling properties as a signature of the nature of disorder in their supporting medium, i.e. of the statistical features of its heterogeneities.…

Disordered Systems and Neural Networks · Physics 2021-07-21 Sebastian Bustingorry , Jill Guyonnet , Patrycja Paruch , Elisabeth Agoritsas

To unravel how the microstructure affects the fracture surface roughness in heterogeneous brittle solids like rocks or ceramics, we characterized the roughness statistics of post-mortem fracture surfaces in home-made materials of adjustable…

We argue that fracture surfaces may exhibit anomalous dynamic scaling properties akin to what occurs in some models of kinetic roughening. We determine the complete scaling behavior of the local fluctuations of a brittle fracture in a…

Statistical Mechanics · Physics 2009-10-31 Juan M. Lopez , Jean Schmittbuhl

Statistical topography of two-dimensional interfaces in the presence of quenched disorder is studied utilizing combinatorial optimization algorithms. Finite-size scaling is used to measure geometrical exponents associated with contour loops…

Disordered Systems and Neural Networks · Physics 2009-10-30 Chen Zeng , J. Kondev , D. McNamara , A. A. Middleton

The scaling properties of post-mortem fracture surfaces of brittle (silica glass), ductile (aluminum alloy) and quasi-brittle (mortar and wood) materials have been investigated. These surfaces, studied far from the initiation, were shown to…

Static friction induced by moir\'e superstructure in twisted incommensurate finite layered material interfaces reveals unique double periodicity and lack of scaling with contact size. The underlying mechanism involves compensation of…

Applied Physics · Physics 2023-08-08 Weidong Yan , Xiang Gao , Wengen Ouyang , Ze Liu , Oded Hod , Michael Urbakh

The roughness of crack interfaces is reported in quasistatic fracture, using an elastic network of beams with random breaking thresholds. For strong disorders we obtain 0.86(3) for the roughness exponent, a result which is very different…

Condensed Matter · Physics 2009-10-31 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

We consider the morphology of two dimensional cracks observed in experimental results obtained from paper samples and compare these results with the numerical simulations of the random fuse model (RFM). We demonstrate that the data obey…

Disordered Systems and Neural Networks · Physics 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

The correlations among elements that break in random fuse network fracture are studied, for disorder strong enough to allow for volume damage before final failure. The growth of microfractures is found to be uncorrelated above a…

Statistical Mechanics · Physics 2009-11-10 F. Reurings , M. J. Alava

We introduce a model for the dynamics of mud cracking in the limit of of extremely thin layers. In this model the growth of fracture proceeds by selecting the part of the material with the smallest (quenched) breaking threshold. In…

Condensed Matter · Physics 2009-10-31 A. Gabrielli , R. Cafiero , G. Caldarelli

The scaling laws describing the roughness development of crack surfaces are incorporated into the Griffith criterion. We show that, in the case of a Family-Vicsek scaling, the energy balance leads to a purely elastic brittle behavior. On…

Materials Science · Physics 2009-10-31 S. Morel , J. Schmittbuhl , E. Bouchaud , G. Valentin

Ferroic domain walls are known to display the characteristic scaling properties of self-affine rough interfaces. Different methods have been used to extract roughness information in ferroelectric and ferromagnetic materials. Here, we review…

Disordered Systems and Neural Networks · Physics 2021-07-22 J. Guyonnet , E. Agoritsas , P. Paruch , S. Bustingorry

The evolution and spatial structure of displacement fronts in fractures with self-affine rough walls are studied by numerical simulations. The fractures are open and the two faces are identical but shifted along their mean plane, either…

Statistical Mechanics · Physics 2016-05-02 G. Drazer , H. Auradou , J. Koplik , J. P. Hulin

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

We report on large scale numerical simulations of fracture surfaces using random fuse networks for two very different disorders. There are some properties and exponents that are different for the two distributions, but others, notably the…

Soft Condensed Matter · Physics 2009-10-30 G. George Batrouni , Alex Hansen

This paper investigates the effects of plasticity on the effective fracture toughness. A layered material is considered as a modelling system. An elastic-plastic phase-field model and a surfing boundary condition are used to study how the…

Computational Engineering, Finance, and Science · Computer Science 2020-10-15 Stella Brach
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