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We study the friction between a flat solid surface where polymer chains have been end-grafted and a cross-linked elastomer at low sliding velocity. The contribution of isolated grafted chains' penetration in the sliding elastomer has been…

Soft Condensed Matter · Physics 2015-06-24 Thomas Vilmin , Elie Raphael

Crack-like objects that propagate along frictional interfaces, i.e.~frictional shear cracks, play a major role in a broad range of frictional phenomena. Such frictional cracks are commonly assumed to feature the universal square root…

Soft Condensed Matter · Physics 2021-05-20 Efim A. Brener , Eran Bouchbinder

The break-up of a two-dimensional circular disc by normal and oblique impact on a hard frictionless plate is investigated by molecular dynamics simulations. The disc is composed of numerous unbreakable randomly shaped convex polygons…

Other Condensed Matter · Physics 2016-08-31 Bhupalendra Behera , Ferenc Kun , Sean McNamara , Hans J. Herrmann

In the present study the software CrackComput, based on the Xfem and Xcrack libraries has been used for three problems- to experiment on the convergence properties of the method applied to elasto-statics crack problems, comparison of stress…

Computational Physics · Physics 2013-08-26 Dibakar Datta

A fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law while slip is described by a Coulomb-type friction law. This physical model results in a nonlinear variational inequality…

Numerical Analysis · Mathematics 2019-08-26 Runar L. Berge , Inga Berre , Eirik Keilegavlen , Jan M. Nordbotten , Barbara Wohlmuth

The failure of brittle solids involves, before macroscopic rupture, power-law distributed avalanches of local rupture events whereby microcracks nucleate and grow, which are also observed in for an elastic interface evolving in a…

Soft Condensed Matter · Physics 2019-03-01 Vincent Démery , Véronique Dansereau , Estelle Berthier , Laurent Ponson , Jérôme Weiss

In this paper we consider a dynamic model of fracture for viscoelastic materials, in which the constitutive relation, involving the Cauchy stress and the strain tensors, is given in an implicit nonlinear form. We prove the existence of a…

Analysis of PDEs · Mathematics 2025-10-06 Maicol Caponi , Alessandro Carbotti , Francesco Sapio

We investigate the elastic buckling of a triangular prism made of a soft elastomer. A face of the prism is bonded to a stiff slab that imposes an average axial compression. We observe two possible buckling modes which are localized along…

Classical Physics · Physics 2017-05-24 Claire Lestringant , Corrado Maurini , Arnaud Lazarus , Basile Audoly

Lower limb amputees often suffer skin and tissue problems from using their prosthesis which is a challenging biomechanical problem. The finite element method (FEM) has previously been applied to analyse internal mechanical conditions of the…

Medical Physics · Physics 2019-08-02 Sara Kallin , Asim Rashid , Kent Salomonsson , Peter Hansbo

To facilitate the understanding of the mechanisms underlying the electric breakdown of dielectric elastomers, we derive a one-dimensional (1d) model for axisymmetric necking in a dielectric membrane subjected to equibiaxial stretching and…

Soft Condensed Matter · Physics 2025-02-19 Xiang Yu , Yibin Fu

Sliding at a quasi-statically loaded frictional interface can occur via macroscopic slip events, which nucleate locally before propagating as rupture fronts very similar to fracture. We introduce a novel microscopic model of a frictional…

Disordered Systems and Neural Networks · Physics 2019-12-23 Tom W. J. de Geus , Marko Popović , Wencheng Ji , Alberto Rosso , Matthieu Wyart

Cavitation in soft elastomers and adhesives is often viewed as an elastic instability, commonly tied to the study of incompressible solids. It is the first step prior to fibrillation and ultimate failure in adhesives. Building on the work…

Soft Condensed Matter · Physics 2026-03-20 S. Mohammad Mousavi , Sarvesh Joshi , Franck Vernerey , Nikolaos Bouklas

Linear Elastic Fracture Mechanics (LEFM) provides a consistent framework to evaluate quantitatively the energy flux released to the tip of a growing crack. Still, the way in which the crack selects its velocity in response to this energy…

Materials Science · Physics 2016-02-26 Davy Dalmas , Claudia Guerra , Julien Scheibert , Daniel Bonamy

A two-dimensional lattice model with bond disorder is used to investigate the fracture behaviour under stress-controlled conditions. Although the cumulative energy of precursors does not diverge at the critical point, its derivative with…

Materials Science · Physics 2007-05-23 G. Meacci , A. Politi , M. Zei

This paper presents an experimental study of the fretting crack nucleation threshold, expressed in terms of loading conditions, with a cylinder/plane contact. The studied material is a damage tolerant aluminium alloy widely used in the…

Materials Science · Physics 2007-10-22 Henry Proudhon , Siegfried Fouvry , Jean-Yves Buffiere

When a thin film moderately adherent to a substrate is subjected to residual stress, the cooperation between fracture and delamination leads to unusual fracture patterns, such as spirals, alleys of crescents and various types of strips, all…

Soft Condensed Matter · Physics 2015-09-22 Joel Marthelot , Jose Bico , Francisco Melo , Benoit Roman

This paper presents several test cases intended to be benchmarks for numerical schemes for single-phase fluid flow in fractured porous media. A number of solution strategies are compared, including a vertex and a cell-centered finite volume…

In viscoelastic materials, individually short-lived bonds collectively result in a mechanical resistance which is long-lived but finite, as ultimately cracks appear. Here we provide a microscopic mechanism by which cracks emerge from the…

Soft Condensed Matter · Physics 2018-07-04 Yuval Mulla , Giorgio Oliveri , Johannes T. B. Overvelde , Gijsje H. Koenderink

Strain gradient plasticity theories are being widely used for fracture assessment, as they provide a richer description of crack tip fields by incorporating the influence of geometrically necessary dislocations. Characterizing the behavior…

Numerical Analysis · Mathematics 2017-11-29 Emilio Martínez-Pañeda , Sundar Natarajan , Stéphane Bordas

Theoretical analyses and experiments have been carried out to investigate fracture behavior of glassy polymers. Our birefringence measurements quantify the local stress buildup at cut tip during different stages of drawing. Based on…

Soft Condensed Matter · Physics 2022-12-02 Travis Smith , Chaitanya Gupta , Caleb Carr , Shi-Qing Wang