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Related papers: Crack Roughness in the 2D Random Threshold Beam Mo…

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Dynamical roughening of interfaces has received much attention in recent years. However, experiments have been restricted to one dimensional (1d) systems. Moreover, theoretical studies of the two dimensional (2d) case have been highly…

Data Analysis, Statistics and Probability · Physics 2012-04-12 C. M. Aegerter , R. Gunther , R. J. Wijngaarden

We present a test of different error estimators for 2-point clustering statistics, appropriate for present and future large galaxy redshift surveys. Using an ensemble of very large dark matter LambdaCDM N-body simulations, we compare…

Astrophysics · Physics 2015-05-13 Peder Norberg , Carlton M. Baugh , Enrique Gaztanaga , Darren J. Croton

In this work, the finite elements method (FEM) is used to analyse the growth of fretting cracks. FEM can be favourably used to extract the stress intensity factors in mixed mode, a typical situation for cracks growing in the vicinity of a…

Geophysics · Physics 2011-02-24 Henry Proudhon , Stéphanie Basseville

The roughness of fracture surfaces has been shown to exhibit self-affne scale invariance for a wide variety of materials and loading conditions. The range of scales over which this regime extends remains a matter of debate, together with…

Statistical Mechanics · Physics 2015-05-14 F. Lechenault , G. Pallares , M. George , C. Rountree , E. Bouchaud , M. Ciccotti

We investigate the dimensional crossover of scaling properties of avalanches (domain-wall jumps) in a single-interface model, used for the description of Barkhausen noise in disordered magnets. By varying the transverse aspect ratio…

Statistical Mechanics · Physics 2009-11-10 S. L. A. de Queiroz

In order to estimate roughness exponents of interface growth models, we propose the calculation of effective exponents from the roughness fluctuation (sigma) in the steady state. We compare the finite-size behavior of these exponents and…

Statistical Mechanics · Physics 2016-08-31 Fabio D. A. Aarao Reis

Material failure is mediated by the propagation of cracks, which in realistic 3D materials typically involve multiple coexisting fracture planes. Multiple fracture-plane interactions create poorly understood out-of-plane crack structures,…

Materials Science · Physics 2024-11-27 Meng Wang , Eran Bouchbinder , Jay Fineberg

Strain gradient plasticity theories are being widely used for fracture assessment, as they provide a richer description of crack tip fields by incorporating the influence of geometrically necessary dislocations. Characterizing the behavior…

Numerical Analysis · Mathematics 2017-11-29 Emilio Martínez-Pañeda , Sundar Natarajan , Stéphane Bordas

Plastic deformation of heterogeneous solid structures is often characterized by random intermittent local plastic events. On the mesoscale this feature can be represented by a spatially fluctuating local yield threshold. Here we study the…

Statistical Mechanics · Physics 2023-02-16 Dénes Berta , Gábor Péterffy , Péter Dusán Ispánovity

By means of mesoscopic numerical simulations of a model soft-glassy material, we investigate the role of boundary roughness on the flow behaviour of the material, probing the bulk/wall and global/local rheologies. We show that the roughness…

Soft Condensed Matter · Physics 2016-08-24 Andrea Scagliarini , Matteo Lulli , Massimo Bernaschi , Mauro Sbragaglia

Recently, some eccentricity-invariant properties of random, isotropic, two-dimensional (2D) systems of conductive ellipses have been reported [Phys. Rev. B \bf{104}, 184205 (2021)]. Moreover, the authors suggested that this invariance might…

Statistical Mechanics · Physics 2023-03-17 Yuri Yu. Tarasevich , Andrei V. Eserkepov

This work extends the universal finite-size scaling framework for continuum percolation from two-dimensional (2D) to quasi-three-dimensional (Q3D) stick systems, in which sequentially deposited wires of finite diameter stack vertically on a…

Statistical Mechanics · Physics 2026-03-06 Ryan K. Daniels

Architected materials can exhibit remarkable combinations of stiffness, strength, and toughness, yet their application is currently limited by an incomplete understanding of how cracks initiate and propagate through their discrete…

Soft Condensed Matter · Physics 2026-04-24 Alessandra Lingua , Arturo Chao Correas , François Hild , David S. Kammer

We study probability distributions of waves of topplings in the Bak-Tang-Wiesenfeld model on hypercubic lattices for dimensions D>=2. Waves represent relaxation processes which do not contain multiple toppling events. We investigate bulk…

Statistical Mechanics · Physics 2009-10-31 D. V. Ktitarev , S. Lubeck , P. Grassberger , V. B. Priezzhev

The two-dimensional oscillatory crack instability, experimentally observed in a class of brittle materials under strongly dynamic conditions, has been recently reproduced by a nonlinear phase-field fracture theory. Here we highlight the…

Soft Condensed Matter · Physics 2018-10-03 Yuri Lubomirsky , Chih-Hung Chen , Alain Karma , Eran Bouchbinder

The objective of the current study is to utilize an innovative method called 'change probabilities' for describing fracture roughness. In order to detect and visualize anisotropy of rock joint surfaces, the roughness of one-dimensional…

Statistics Theory · Mathematics 2021-12-23 Tim Gutjahr , Sina Hale , Karsten Keller , Philipp Blum , Steffen Winter

We use the stochastic series expansion quantum Monte Carlo method to study the Heisenberg models on the square lattice with strong and weak couplings in the form of three different plaquette arrangements known as checkerboard models…

Strongly Correlated Electrons · Physics 2019-05-30 Xiaoxue Ran , Nvsen Ma , Dao-Xin Yao

The dynamic scaling of curved interfaces presents features that are strikingly different from those of the planar ones. Spherical surfaces above one dimension are flat because the noise is irrelevant in such cases. Kinetic roughening is…

Statistical Mechanics · Physics 2009-11-13 Carlos Escudero

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

An original setup combining a very stable loading stage, an atomic force microscope and an environmental chamber, allows to obtain very stable sub-critical fracture propagation in oxide glasses under controlled environment, and subsequently…

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