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Plasticity refers to thermodynamically irreversible deformation associated with a change of configuration of materials. Friction is a phenomenological law that describes the forces resisting sliding between two solids or across an embedded…

Geophysics · Physics 2018-02-23 Sylvain Barbot

Dislocations play a key role in the understanding of many phenomena in solid state physics, materials science, crystallography and engineering. Dislocations are line defects producing distortions and self-stresses in an otherwise perfect…

Materials Science · Physics 2018-03-12 Markus Lazar

The process of frictional rupture, i.e. the failure of frictional systems, abounds in the technological and natural world around us, ranging from squealing car brake pads to earthquakes along geological faults. A general framework for…

Flutter instability in an infinite medium is a form of material instability corresponding to the occurrence of complex conjugate squares of the acceleration wave velocities. Although its occurrence is known to be possible in elastoplastic…

Mathematical Physics · Physics 2015-05-20 Andrea Piccolroaz , Davide Bigoni , John R. Willis

The dynamic fragmentation of residually stressed solids involves a complex interplay between stored elastic energy, stress wave propagation, and crack instabilities. In this work, we investigate the fracture mechanics of chemically…

Soft Condensed Matter · Physics 2026-02-25 Vineet Dawara , Koushik Viswanathan

Although spectacular advances in hydraulic fracturing, aka fracking, have taken place and many aspects are well understood by now, the topology, geometry and evolution of the crack system hydraulically produced in the shale still remains an…

Geophysics · Physics 2014-07-08 Z. P. Bazant , M. Salviato , V. T. Chau

We propose a framework for understanding the fragmentation criterion for self-gravitating discs which, in contrast to studies that emphasise the `gravoturbulent' nature of such discs, instead focuses on the properties of their quasi-regular…

Solar and Stellar Astrophysics · Physics 2015-06-09 Matthew D. Young , Cathie J. Clarke

Hydrated granular packings often crack into discrete clusters of grains when dried. Despite its ubiquity, accurate prediction of cracking remains elusive. Here, we elucidate the previously overlooked role of individual grain shrinkage---a…

Soft Condensed Matter · Physics 2022-06-07 H. Jeremy Cho , Sujit S. Datta

Characterizing the interaction between water and microscopic defects is one of the long-standing challenges in understanding a broad range of cracking processes. Different physical aspects of microscopic events, driven or influenced by…

Geophysics · Physics 2017-01-12 H. O. Ghaffari , W. A. Griffith , P. M. Benson

We study a 2D quasi-static discrete {\it crack} anti-plane model of a tectonic plate with long range elastic forces and quenched disorder. The plate is driven at its border and the load is transfered to all elements through elastic forces.…

Condensed Matter · Physics 2020-01-29 Didier Sornette , Christian Vanneste

Fractures are a critical process in how materials wear, weaken, and fail whose unpredictable behavior can have dire consequences. While the behavior of smooth cracks in ideal materials is well understood, it is assumed that for real,…

Materials Science · Physics 2022-10-05 Will Steinhardt , Shmuel M. Rubinstein

Cracks are the major vehicle for material failure, and often exhibit rather complex dynamics. The laws that govern their motion have remained an object of constant study for nearly a century. The simplest kind of dynamic crack is a single…

Materials Science · Physics 2015-05-14 Eran Bouchbinder , Jay Fineberg , M. Marder

We report a new type of drop instability, where the density difference between the drop and the solvent is negative. We show that the drop falls inside the solvent down to a minimum height, then fragmentation takes place and secondary…

Chaotic Dynamics · Physics 2016-08-16 Paul K. Buah-Bassuah , René Rojas , Stefania Residori , Fortunato Tito Arecchi

The dynamics of a crack propagating in an elastic inhomogeneous material is investigated. The variations of the average crack velocity with the external loading are measured for a brittle rock and are shown to display two distinct regimes:…

Statistical Mechanics · Physics 2008-12-18 Laurent Ponson

This paper aims to derive a definition of complexity for a dynamic spherical system in the background of self-interacting Brans-Dicke gravity. We measure complexity of the structure in terms of inhomogeneous energy density, anisotropic…

General Relativity and Quantum Cosmology · Physics 2021-01-06 M. Sharif , Amal Majid

In mechanical systems it is of interest to know the onset of fracture in dependence of the boundary conditions. Here we study a one-dimensional model which allows for an underlying heterogeneous structure in the discrete setting. Such…

Analysis of PDEs · Mathematics 2021-11-03 Laura Lauerbach , Stefan Neukamm , Mathias Schäffner , Anja Schlömerkemper

The damage and fracture of materials are technologically of enormous interest due to their economic and human cost. They cover a wide range of phenomena like e.g. cracking of glass, aging of concrete, the failure of fiber networks in the…

Materials Science · Physics 2015-06-24 D. Sornette

In the world of technology, one of the most important forms of friction is that of rolling friction. Yet it is one of the least studied of all the known forms of energy dissipation. In the present experiments we investigate the oscillatory…

General Physics · Physics 2007-05-23 Randall D. Peters

To obtain the probability distribution of 2D crack patterns in mesoscopic regions of a disordered solid, the formalism of Paper I requires that a functional form associating the crack patterns (or states) to their formation energy be…

Statistical Mechanics · Physics 2009-11-07 Renaud Toussaint , Steven R. Pride

The fracture mechanics was widely employed to explain the crack propagation in the deposition produced by drying colloidal suspension. However, more complex than conventional fracture, those cracks periodically distribute and make up a…

Soft Condensed Matter · Physics 2014-02-14 Jun Ma , Guangyin Jing