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Fracture in quasi-statically driven systems is studied by means of a discrete spring-block model. Developed from close comparison with desiccation experiments, it describes crack formation induced by friction on a substrate. The model…

Statistical Mechanics · Physics 2009-10-31 Kwan-tai Leung , Zoltan Neda

We employ a recently developed model that allows the study of two-dimensional brittle crack propagation under fixed grip boundary conditions. The crack development highlights the importance of voids which appear ahead of the crack as…

Disordered Systems and Neural Networks · Physics 2015-06-12 Itamar Procaccia , Jacques Zylberg

In the assessment of wood charring, it was believed for a long time that physicochemical processes were responsible for the creation of cracking patterns on the charring wood surface. This implied no possibility to rigorously explain the…

Materials Science · Physics 2017-05-09 Djebar Baroudi , Andrea Ferrantelli , Kai Yuan Li , Simo Hostikka

Slow crack propagation in ductile, and in certain brittle materials, appears to take place via the nucleation of voids ahead of the crack tip due to plastic yields, followed by the coalescence of these voids. Post mortem analysis of the…

Materials Science · Physics 2009-11-10 Itai Afek , Eran Bouchbinder , Eytan Katzav , Joachim Mathiesen , Itamar Procaccia

A jammed packing of frictionless spheres at zero temperature is perfectly specified by the network of contact forces from which mechanical properties can be derived. However, we can alternatively consider a packing as a geometric structure,…

Soft Condensed Matter · Physics 2015-11-26 Peter K. Morse , Eric I. Corwin

We introduce a new class of spatial-temporal point processes based on Voronoi tessellations. At each step of such a process, a point is chosen at random according to a distribution determined by the associated Voronoi cells. The point is…

Probability · Mathematics 2007-05-23 Konstantin Borovkov , David Odell

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

A deposited drop of bovine serum albumin salt solution experiences both gelation and fracturation during evaporation. The cracks appearing at the edge of the gelling drop are regularly spaced, due to the competition between the…

Soft Condensed Matter · Physics 2015-06-24 Celine Annarelli , Jean Fornazero , Jacques Bert , Jean Colombani

Magmas form at depth, move upwards and evolve chemically through a combination of processes. Magmatic processes are investigated by means of fieldwork combined with geophysics, geochemistry, analog and numerical models, and many other…

Physics and Society · Physics 2024-01-09 Remy Cazabet , Catherine Annen , Jean-Francois Moyen , Roberto Weinberg

A continuum model of crack propagation is presented and discussed. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic and viscoelastic effects are…

Materials Science · Physics 2020-02-26 M. Fleck , D. Pilipenko , R. Spatschek , E. A. Brener

Physical understanding of the crack origin and quantitative physical prediction of the crack volume variation far from the clay soil surface are necessary to protect the underlying aquifers from pollutants. The basis of this work is an…

Geophysics · Physics 2014-03-18 V. Y. Chertkov

When a soft glassy colloidal suspension is displaced by a Newtonian fluid in a radial Hele-Shaw geometry, the pattern morphology that develops at the interface is determined by the complex rheology of the former. We had reported in an…

Soft Condensed Matter · Physics 2022-10-18 Palak , Vaibhav Raj Singh Parmar , Ranjini Bandyopadhyay

Cooperation is prevalent in nature, not only in the context of social interactions within the animal kingdom, but also on the cellular level. In cancer for example, tumour cells can cooperate by producing growth factors. The evolution of…

Populations and Evolution · Quantitative Biology 2018-12-07 Jessie Renton , Karen M. Page

The morphology of a growing crystal surface is studied in the case of an unstable two-dimensional step flow. Competition between bunching and meandering of steps leads to a variety of patterns characterized by their respective instability…

Statistical Mechanics · Physics 2012-07-19 A. Verga

The wear-driven structural evolution of nanocrystalline Cu was simulated with molecular dynamics under constant normal loads, followed by a quantitative analysis. While the microstructure far away from the sliding contact remains unchanged,…

Materials Science · Physics 2017-09-06 Zhiliang Pan , Timothy J. Rupert

Stochastic geometry provides a powerful framework for modelling complex random structures, with applications in physics, materials science, biology, and other fields. The three-dimensional microstructure of polycrystalline materials is…

Mathematical Physics · Physics 2025-07-22 Oleksandr Kornijčuk , Luděk Heller , Zbyněk Pawlas , Viktor Beneš

A collection of thin structures buckle, bend, and bump into each-other when confined. This contact can lead to the formation of patterns: hair will self-organize in curls; DNA strands will layer into cell nuclei; paper, when crumpled, will…

Soft Condensed Matter · Physics 2023-04-19 Arman Guerra , Anja Slim , Douglas P. Holmes , Ousmane Kodio

We report three-dimensional hydrodynamical simulations of shocks (${\cal M_{\rm shock}}\geq 4$) interacting with fractal multicloud layers. The evolution of shock-multicloud systems consists of four stages: a shock-splitting phase in which…

The properties of slow crack growth in brittle materials are analyzed both theoretically and experimentally. We propose a model based on a thermally activated rupture process. Considering a 2D spring network submitted to an external load…

Materials Science · Physics 2009-11-13 Stéphane Santucci , Loic Vanel , Sergio Ciliberto

Voronoi tessellations have been used to model the geometric arrangement of cells in morphogenetic or cancerous tissues, however so far only with flat hypersurfaces as cell-cell contact borders. In order to reproduce the experimentally…

Biological Physics · Physics 2009-12-02 Martin Bock , Amit Kumar Tyagi , Jan-Ulrich Kreft , Wolfgang Alt