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The focus of the article is on fracture criteria for dynamic crack propagation in elastic materials with microstructures. Steady-state propagation of a Mode III semi-infinite crack subject to loading applied on the crack surfaces is…

Materials Science · Physics 2013-09-11 L. Morini , A. Piccolroaz , G. Mishuris , E. Radi

In this work, we consider fracture propagation in nearly incompressible and (fully) incompressible materials using a phase-field formulation. We use a mixed form of the elasticity equation to overcome volume locking effects and develop a…

Numerical Analysis · Mathematics 2022-02-10 Timo Heister , Katrin Mang , Thomas Wick

Using numerical simulations, we study the dynamical evolution of particles interacting via competing long-range repulsion and short-range attraction in two dimensions. The particles are compressed using a time-dependent quasi-one…

Soft Condensed Matter · Physics 2017-12-06 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

The failure of materials and interfaces is mediated by cracks, nearly singular dissipative structures that propagate at velocities approaching the speed of sound. Crack initiation and subsequent propagation -- the dynamic process of…

Materials Science · Physics 2015-06-15 Eran Bouchbinder , Tamar Goldman , Jay Fineberg

Analytical models have been developed for fracture propagation over the last several decades and are now considered with renewed interest; the range of their applicability varies for different materials and different loading conditions.…

Materials Science · Physics 2015-09-22 D. Misseroni , A. B. Movchan , N. V. Movchan , D. Bigoni

The interplay between dilatancy and particle alignment in sheared granular materials composed of non-spherical particles leads to morphological inhomogeneity. Dilatancy, driven by interparticle friction, causes the packing to expand, while…

Soft Condensed Matter · Physics 2025-02-20 Huzaif Rahim , Sudeshna Roy , Thorsten Pöschel

We analyze collisional decoherence of atoms or molecules prepared in a coherent superposition of nondegenerate internal states at ultralow temperatures and placed in an ultracold buffer gas. Our analysis is applicable for an arbitrary bath…

Quantum Physics · Physics 2015-05-14 C. J. Hemming , R. V. Krems

In this paper, we introduce a one-dimensional model of particles performing independent random walks, where only pairs of particles can produce offspring ("cooperative branching"), and particles that land on an occupied site merge with the…

Probability · Mathematics 2015-05-29 Anja Sturm , Jan M. Swart

Cracking of suspensions during drying is a common problem. While additives, e.g. binders and surfactants, can mitigate this problem, some applications, such as printing conductive pastes or sintering green bodies, do not lend themselves to…

Soft Condensed Matter · Physics 2021-11-19 Steffen B. Fischer , Erin Koos

It is widely known that freezing breaks soft, wet materials. However, the mechanism underlying this damage is still not clear. To understand this process, we freeze model, brittle hydrogel samples, while observing the growth of ice-filled…

In this work we use a multi-scale framework to calculate the fluidization threshold of three-dimensional cohesive granulates under shear forces exerted by a creeping flow. A continuum model of flow through porous media provides an…

Fluid Dynamics · Physics 2013-07-30 Ilenia Battiato , Jürgen Vollmer

The wetting and filling properties of a fluid adsorbed on a solid grooved substrate are studied by means of a microscopic density functional theory. The grooved substrates are modelled using a solid slab, interacting with the fluid…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alexandr Malijevsky

This Article is a brief review of coarsening phenomena occurring in systems where quenched features - such as random field, varying coupling constants or lattice vacancies - spoil homogeneity. We discuss the current understanding of the…

Statistical Mechanics · Physics 2015-06-04 Federico Corberi

An accurate understanding of the interplay between random and deterministic processes in generating extreme events is of critical importance in many fields, from forecasting extreme meteorological events to the catastrophic failure of…

Disordered Systems and Neural Networks · Physics 2016-04-07 Gergo Pal , Frank Raischel , Sabine Lennartz-Sassinek , Ferenc Kun , Ian G. Main

We review microstructural fracture growth models suitable for the study of hydraulic fracture processes in disordered porous materials and present some basic results. It is shown that microstructural models exhibit certain similarities to…

Materials Science · Physics 2007-05-23 F. Tzschichholz , M. Wangen

The sticking of a soft polystyrene colloidal particle to a planar glass plate was studied by a microrheological technique using an optical tweezer to trap the particle and a piezoelectric-stage to position the plate and to sinusoidally…

Soft Condensed Matter · Physics 2009-08-27 Prerna Sharma , Shankar Ghosh , S. Bhattacharya

We review recent progress on the zero-range process, a model of interacting particles which hop between the sites of a lattice with rates that depend on the occupancy of the departure site. We discuss several applications which have…

Statistical Mechanics · Physics 2009-11-11 M. R. Evans , T. Hanney

We consider a porous solid covered with a water film (or with a drop) in situations where the liquid is pumped in, either spontaneously (if the porous medium is hydrophilic) or mechanically (by an external pump). The dynamics of dewetting…

Soft Condensed Matter · Physics 2009-10-31 A. Aradian , E. Raphael , P. G. de Gennes

Particulate matter in a fluid injected into a porous reservoir impairs its permeability spatio-temporally due to pore clogging. As particle volume fraction increases near the pore throats, inter-particle contact mechanics determine their…

Fluid Dynamics · Physics 2026-01-19 Sagar G. Nayak , Zhenjiang You , Yuchen Dai , Geoff Wang , Prapanch Nair

We investigate a three-dimensional kinetically-constrained model that exhibits two types of phase transitions at different densities. At the jamming density $ \rho_J $ there is a mixed-order phase transition in which a finite fraction of…

Statistical Mechanics · Physics 2017-06-08 Nimrod Segall , Eial Teomy , Yair Shokef
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