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We consider the quasi-static propagation of a Mode III crack along the interface in a bimaterial plane containing a finite array of small line defects (microcracks and rigid line inclusions). The microdefects are arranged to form a channel…

Mathematical Physics · Physics 2011-10-27 A. Piccolroaz , G. Mishuris , A. Movchan , N. Movchan

We briefly review a number of important recent experimental and theoretical developments in the field of dynamic fracture. Topics include experimental validation of the equations of motion for straight tensile cracks (in both infinite media…

Materials Science · Physics 2016-02-12 Jay Fineberg , Eran Bouchbinder

A model of a shear band as a zero-thickness nonlinear interface is proposed and tested using finite element simulations. An imperfection approach is used in this model where a shear band, that is assumed to lie in a ductile matrix material…

Materials Science · Physics 2015-01-29 N. Bordignon , A. Piccolroaz , F. Dal Corso , D. Bigoni

Dynamic Mode III interfacial fracture in a dissimilar square-cell lattice, composed of two contrasting mass-spring lattice half-planes joined at an interface, is considered. The fracture, driven by a remotely applied load, is assumed to…

Classical Physics · Physics 2019-12-13 A. Piccolroaz , N. Gorbushin , G. S. Mishuris , M. J. Nieves

We study the stability and roughness of propagating cracks in heterogeneous brittle two-dimensional elastic materials. We begin by deriving an equation of motion describing the dynamics of such a crack in the framework of Linear Elastic…

Disordered Systems and Neural Networks · Physics 2013-11-12 E. Katzav , M. Adda-Bedia

Crack initiation and propagation in elastic - perfectly plastic bodies is studied in a phase-field or variational gradient damage formulation. A rate-independent formulation that naturally couples elasticity, perfect plasticity and fracture…

Computational Engineering, Finance, and Science · Computer Science 2019-06-26 Stella Brach , Erwan Tanné , Blaise Bourdin , Kaushik Bhattacharya

We investigate propagating fronts in disordered media that belong to the universality class of wetting contact lines and planar tensile crack fronts. We derive from first principles their nonlinear equations of motion, using the generalized…

Materials Science · Physics 2008-04-21 E. Katzav , M. Adda-Bedia , M. Ben Amar , A. Boudaoud

The interaction of an interfacial crack with small impurities is analysed on the basis of an asymptotic formula derived by the authors. The interaction between the main crack and the defects (e.g. small cracks or inclusions) is described…

Mathematical Physics · Physics 2011-05-11 Gennady Mishuris , Alexander Movchan , Natasha Movchan , Andrea Piccolroaz

We have developed a simulation technique that uses non-linear finite element analysis and elastic fracture mechanics to compute physically plausible motion for three-dimensional, solid objects as they break, crack, or tear. When these…

Graphics · Computer Science 2023-03-21 James F. O'Brien , Jessica K. Hodgins

Understanding the role played by the microstructure of materials on their macroscopic failure properties is an important challenge in solid mechanics. Indeed, when a crack propagates at a heterogeneous brittle interface, the front is…

Materials Science · Physics 2015-11-09 Sylvain Patinet , L Alzate , E Barthel , D Dalmas , D Vandembroucq , V Lazarus

We investigate the interaction between two cracks propagating in a thin sheet. Two different experimental geometries allow us to tear sheets by imposing an out-of-plane shear loading. We find that two tears converge along self-similar paths…

Materials Science · Physics 2015-05-27 E. Bayart , A. Boudaoud , M. Adda-Bedia

Recently proposed phase-field models offer self-consistent descriptions of brittle fracture. Here, we analyze these theories in the quasistatic regime of crack propagation. We show how to derive the laws of crack motion either by using…

Materials Science · Physics 2009-11-13 Vincent Hakim , Alain Karma

We show that for the simulation of crack propagation in quasi-brittle, two-dimensional solids, very good results can be obtained with an embedded strong discontinuity quadrilateral finite element that has incompatible modes. Even more…

Numerical Analysis · Mathematics 2021-09-08 A. Stanic , B. Brank , A. Ibrahimbegovic , H. G. Matthies

The dynamics of planar crack fronts in heterogeneous media is studied using a recently proposed stochastic equation of motion that takes into account nonlinear effects. The analysis is carried for a moving front in the quasi-static regime…

Materials Science · Physics 2007-05-23 E. Katzav , M. Adda--Bedia

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

The propagation of a 3D crack in an heterogeneous material is studied using a phase field model. It is shown that in the case of randomly distributed inclusions of soft material in a matrix, the nature of the distribution has little effect…

Materials Science · Physics 2025-03-11 Hervé Henry

The shear-transformation-zone (STZ) theory of plastic deformation predicts that sufficiently soft, non-crystalline solids are linearly unstable against forming periodic arrays of microstructural shear bands. A limited nonlinear analysis…

Materials Science · Physics 2009-11-07 J. S. Langer

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

We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition of two crack…

Disordered Systems and Neural Networks · Physics 2013-08-28 Knut Skogstrand Gjerden , Arne Stormo , Alex Hansen

We examine how shell geometry affects fracture. As suggested by previous results and our own phase-field simulations, shell shape dramatically affects crack evolution and the effective toughness of the shell structure. To gain insight and…

Soft Condensed Matter · Physics 2017-04-19 Bin Li , Marino Arroyo