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This paper is motivated by the complex blister patterns sometimes seen in thin elastic films on thick, compliant substrates. These patterns are often induced by an elastic misfit which compresses the film. Blistering permits the film to…

Analysis of PDEs · Mathematics 2013-04-02 Jacob Bedrossian , Robert V. Kohn

We study numerically how multiple deformable capsules squeeze into a constriction. This situation is largely encountered in microfluidic chips designed to manipulate living cells, which are soft entities. We use fully three-dimensional…

Soft Condensed Matter · Physics 2021-12-15 Clément Bielinski , Othmane Aouane , Jens Harting , Badr Kaoui

In this paper, we present a qualitative analysis of the dissipative processes during the failure of the interface between a viscoelastic polymer and a solid surface. We reassess the "viscoelastic trumpet" model [P.-G. de Gennes, C. R. Acad.…

Soft Condensed Matter · Physics 2015-06-24 F. Saulnier , T. Ondarcuhu , A. Aradian , E. Raphael

We consider some basic principles of fluid-induced lubrication at soft interfaces. In particular, we show how the presence of a soft substrate leads to an increase in the physical separation between surfaces sliding past each other. By…

Soft Condensed Matter · Physics 2009-11-10 J. M. Skotheim , L. Mahadevan

The propagation of an interfacial crack front through a weak plane of a transparent Plexiglas block has been studied experimentally. A stable crack in mode I was generated by loading the system by an imposed displacement. The local…

Statistical Mechanics · Physics 2007-05-23 Knut Jorgen Maloy , Renaud Toussaint , Jean Schmittbuhl

The failure of frictional interfaces and the spatiotemporal structures that accompany it are central to a wide range of geophysical, physical and engineering systems. Recent geophysical and laboratory observations indicated that interfacial…

Materials Science · Physics 2015-03-19 Yohai Bar Sinai , Efim A. Brener , Eran Bouchbinder

Transmission line failures in power systems propagate non-locally, making the control of the resulting outages extremely difficult. In this work, we establish a mathematical theory that characterizes the patterns of line failure propagation…

Systems and Control · Electrical Eng. & Systems 2021-04-27 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

A recent experiment has considered the effective permeability of two-phase flow of air and a water-glycerol solution under steady-state conditions in a two-dimensional model porous medium, and found a power law dependence with respect to…

Fluid Dynamics · Physics 2012-05-09 Morten Grøva

The fracture strength distribution of materials is often described in terms of the Weibull law which can be derived by using extreme value statistics if elastic interactions are ignored. Here, we consider explicitly the interplay between…

Statistical Mechanics · Physics 2014-10-16 Zsolt Bertalan , Ashivni Shekhawat , James P. Sethna , Stefano Zapperi

Transmission line failure in power systems prop-agate non-locally, making the control of the resulting outages extremely difficult. In Part II of this paper, we continue the study of line failure localizability in transmission networks and…

Systems and Control · Electrical Eng. & Systems 2021-04-27 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

The mechanical response of naturally abundant amorphous solids such as gels, jammed grains, and biological tissues are not described by the conventional paradigm of broken symmetry that defines crystalline elasticity. In contrast, the…

Disordered Systems and Neural Networks · Physics 2020-09-29 Jishnu N. Nampoothiri , Yinqiao Wang , Kabir Ramola , Jie Zhang , Subhro Bhattacharjee , Bulbul Chakraborty

Cracks are created by massive breakage of molecular or atomic bonds. The latter, in its turn, leads to the highly localized loss of material, which is the reason why even closed cracks are visible by a naked eye. Thus, fracture can be…

Materials Science · Physics 2016-10-28 Konstantin Volokh

Viscoelasticity and rate-dependent adhesion of soft matter lead to difficulties in modeling the 'relatively simple' problem of a rigid sphere in contact with a viscoelastic half-space. For this reason, approximations in describing surface…

Soft Condensed Matter · Physics 2021-12-08 Luciano Afferrante , Guido Violano

Most of the research concerting crack propagation in discrete media is concerned with specific types of external loading: displacements on the boundaries, or constant energy fluxes or feeding waves originating from infinity. In this paper…

Soft Condensed Matter · Physics 2017-08-03 Nikolai Gorbushin , Gennady Mishuris

A simple model of inelastic hard-rods subject to a one-dimensional array of identical wells is introduced. The energy loss due to inelastic collisions is balanced by the work supplied by an external stochastic heat-bath. We explore the…

Materials Science · Physics 2009-11-10 Fabio Cecconi , Umberto Marini-Bettolo-Marconi , Fabiana Diotallevi , Andrea Puglisi

Recent experimental results on the static or quasistatic response of granular materials have been interpreted to suggest the inapplicability of the traditional engineering approaches, which are based on elasto-plastic models (which are…

Soft Condensed Matter · Physics 2007-05-23 Chay Goldenberg , Isaac Goldhirsch

We consider the fracture of a free-standing two-dimensional (2D) elastic-brittle network to be used as protective coating subject to constant tensile stress applied on its rim. Using a Molecular Dynamics simulation with Langevin thermostat,…

Soft Condensed Matter · Physics 2015-06-03 J. Paturej , H. Popova , A. Milchev , T. A. Vilgis

One considers linearly thermoelastic composite media, which consist of a homogeneous matrix containing a statistically homogeneous random set of ellipsoidal uncoated or coated inclusions. Effective properties (such as compliance and thermal…

Materials Science · Physics 2009-12-22 Valeriy A. Buryachenko

The classical Hertzian contact model establishes a monotonic correlation between contact force and area. Here, we showed that the interplay between local friction and structural instability can deliberately lead to unconventional contact…

Computational Engineering, Finance, and Science · Computer Science 2024-01-29 Riad Sahli , Jeppe Mikkelsen , Mathias Satherstrom Boye , Marcelo A. Dias , Ramin Aghababaei

The impact of confinement on self-assembly of particles interacting with short-range attraction and long-range repulsion (SALR) potential is studied for thermodynamic states corresponding to local ordering of clusters or layers in the bulk.…

Soft Condensed Matter · Physics 2014-11-17 Jakub Pękalski , Alina Ciach , Noé G. Almarza
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