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Ultimately, brittle fracture involves breaking atomic bonds. However, we still lack a clear picture of what happens in the highly deformed region around a moving crack tip. Consequently, we still cannot link nano to atomic-scale phenomena…

Materials Science · Physics 2024-07-22 Oriol Gavalda-Diaz , Max Emmanuel , Katharina Marquardt , Eduardo Saiz , Finn Giuliani

The interaction of an interfacial crack with small impurities is analysed on the basis of an asymptotic formula derived by the authors. The interaction between the main crack and the defects (e.g. small cracks or inclusions) is described…

Mathematical Physics · Physics 2011-05-11 Gennady Mishuris , Alexander Movchan , Natasha Movchan , Andrea Piccolroaz

We show that the roughness exponent zeta of an in-plane crack front slowly propagating along a heterogeneous interface embeded in a elastic body, is in full agreement with a correlated percolation problem in a linear gradient. We obtain…

Condensed Matter · Physics 2009-11-07 Jean Schmittbuhl , Alex Hansen , G. George Batrouni

We investigate the formation dynamics of plastic creases in thin elasto-plastic sheets. In contrast to the commonly accepted description of crumpled thin sheets, which asserts that creases form only by elastic interaction between two…

Soft Condensed Matter · Physics 2016-01-12 Omer Gottesman , Efi Efrati , Shmuel M. Rubinstein

Turbo-generators shafts are manufactured through the extrusion process. This results in the formation of weak planes along the extrusion process. It has been observed that large longitudinal cracks often form in these shafts before any…

Materials Science · Physics 2018-10-05 Mohsen Nabian , Hamid Nayeb Hashemi

We investigate the process of slow intergranular crack propagation by the finite element method model, and show that branching is induced by partial arresting of crack front owing to the geometrical randomness of grain boundaries. A…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Itakura , H. Kaburaki , C. Arakawa

In this study, we use discrete dislocation dynamics (DDD) simulation to investigate the effect of heterogeneous dislocation density on the transition between quasi-elastic deformation and plastic flow in face-centered cubic single crystals.…

Materials Science · Physics 2019-07-24 Xu Zhang , Jian Xiong , Haidong Fan , Michael Zaiser

We study a lattice model for mode III crack propagation in brittle materials in a stripe geometry at constant applied stretching. Stiffening of the material at large deformation produces supersonic crack propagation. For large stretching…

Materials Science · Physics 2009-11-11 T. M. Guozden , E. A. Jagla

The propagation of an interfacial crack along a heterogeneous weak plane of a transparent Plexiglas block is followed using a high resolution fast camera. We show that the fracture front dynamics is governed by local and irregular…

Materials Science · Physics 2007-05-23 Knut Jørgen Måløy , Stéphane Santucci , Jean Schmittbuhl , Renaud Toussaint

We derive here a linear elastic stochastic description for slow crack growth in heterogeneous materials. This approach succeeds in reproducing quantitatively the intermittent crackling dynamics observed recently during the slow propagation…

Statistical Mechanics · Physics 2008-09-23 Daniel Bonamy , Stéphane Santucci , Laurent Ponson

A uniform solidification front undergoes non-trivial deformations when encountering an insoluble dispersed particle in a melt. For solid particles, the overall deformation characteristics are primarily dictated by heat transfer between the…

Fluid Dynamics · Physics 2024-03-01 Duco van Buuren , Pallav Kant , Jochem G. Meijer , Christian Diddens , Detlef Lohse

The structured deformation theory is used within the thermodynamics of irreversible processes framework in order to build a damage model relevant for quasi-brittle materials. The cracks are supposed smeared in the body and their shape is…

Materials Science · Physics 2024-11-14 M. L. M. François

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

Predicting when rupture occurs or cracks progress is a major challenge in numerous elds of industrial, societal and geophysical importance. It remains largely unsolved: Stress enhancement at cracks and defects, indeed, makes the macroscale…

Soft Condensed Matter · Physics 2017-11-21 Daniel Bonamy

We study a theoretical model of mud cracks, that is, the fracture patterns resulting from the contraction with drying in a thin layer of a mixture of granules and water. In this model, we consider the slip on the bottom of this layer and…

patt-sol · Physics 2009-10-31 S. Kitsunezaki

We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction…

Analysis of PDEs · Mathematics 2022-11-01 Rufat Badal , Manuel Friedrich , Joscha Seutter

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

The consolidation of suspended particulate matter under external forces such as pressure or gravity is of widespread interest. In this work, we derive a constitutive relation to describe the deformation of a {\it two-dimensional} strongly…

Soft Condensed Matter · Physics 2014-02-26 Saikat Roy , Mahesh S Tirumkudulu

Deformation microstructure heterogeneities play a pivotal role during dislocation patterning and interface network restructuring. Thus, they affect indirectly how an alloy recrystallizes if at all. Given this relevance, it has become common…

Computational Engineering, Finance, and Science · Computer Science 2020-06-24 Markus Kühbach , Franz Roters

This letter addresses the issue of interfacial crack propagation mechanisms on various interfaces with using molecular dynamics. Four different interfacial crack propagation manners are recognized by MD simulations: 1, the crack propagates…

Materials Science · Physics 2016-01-13 Yanguang Zhou , Zhenyu Yang , Tao Wang , Dayong Hu , Xiaobing Ma
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