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When a crack interacts with material heterogeneities, its front distorts and adopts complex tortuous configurations that are reminiscent of the energy barriers encountered during crack propagation. As such, the study of crack front…

Materials Science · Physics 2023-01-03 Mathias Lebihain , Thibault Roch , Jean-François Molinari

We investigate experimentally and theoretically the dynamics of a crack front during the micro-instabilities taking place in heterogeneous materials between two successive equilibrium positions. We focus specifically on the spatio-temporal…

Soft Condensed Matter · Physics 2018-12-12 Chopin Julien , Bhaskar Aditya , Jog Atharv , Ponson Laurent

We approach the problem of heterogeneous dynamic fracture by considering spatiotemporal perturbations to planar crack fronts. Front propagation is governed by local energy balance between the elastic energy per unit area available to…

Materials Science · Physics 2025-09-17 Itamar Kolvin , Mokhtar Adda-Bedia

Material failure is mediated by the propagation of cracks, which in realistic 3D materials typically involve multiple coexisting fracture planes. Multiple fracture-plane interactions create poorly understood out-of-plane crack structures,…

Materials Science · Physics 2024-11-27 Meng Wang , Eran Bouchbinder , Jay Fineberg

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 examine theoretically and numerically fast propagation of a tensile crack along unidimensional strips with periodically evolving toughness. In such dynamic fracture regimes, crack front waves form and transport front disturbances along…

Statistical Mechanics · Physics 2021-02-23 Alizée Dubois , Daniel Bonamy

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

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

Brittle solids are often toughened by adding a second-phase material. This practice often results in composites with material heterogeneities on the meso scale: large compared to the scale of the process zone but small compared to that of…

Materials Science · Physics 2024-02-20 Liuchi Li , Jack Rao , Todd Hufnagel , KT Ramesh

When brittle hydrogels fail, several mechanisms conspire to alter the state of stress near the tip of a crack, and it is challenging to identify which mechanism is dominant. In the fracture of brittle solids, a sufficient far-field stress…

Materials Science · Physics 2023-06-28 Chenzhuo Li , Xinyue Wei , Meng Wang , Mokhtar Adda-Bedia , John M. Kolinski

A planar crack generically segments into an array of "daughter cracks" shaped as tilted facets when loaded with both a tensile stress normal to the crack plane (mode I) and a shear stress parallel to the crack front (mode III). We…

Materials Science · Physics 2016-01-06 Chih-Hung Chen , Tristan Cambonie , Veronique Lazarus , Matteo Nicoli , Antonio Pons , Alain Karma

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

This contribution presents a diffuse framework for modeling cracks in heterogeneous media. Interfaces are depicted by static phase-fields. This concept allows the use of non-conforming meshes. Another phase-field is used to describe the…

Materials Science · Physics 2020-05-11 Arne Claus Hansen-Dörr , Franz Dammaß , René de Borst , Markus Kästner

Patterns on broken surfaces are well-known from everyday experience, but surprisingly, how and why they form are very much open questions. Well-defined facets are commonly observed1-4 along fracture surfaces which are created by slow…

Soft Condensed Matter · Physics 2018-02-14 Itamar Kolvin , Gil Cohen , Jay Fineberg

During brittle crack propagation, a smooth crack front curve frequently becomes disjoint, generating a stepped crack and a material ligament that unites the newly formed crack fronts. These universal features fundamentally alter the…

Computational Engineering, Finance, and Science · Computer Science 2025-07-30 Xinyue Wei , John M. Kolinski

The paper presents a model of a dynamic crack with a wavy surface. So far, theoretical analysis of crack front waves has been performed only for in-plane perturbations of the crack front. In the present paper, generalisation is given to a…

Analysis of PDEs · Mathematics 2012-06-06 J. R. Willis , N. V. Movchan , A. B. Movchan

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

Materials Science · Physics 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner

We have studied the low speed fracture regime for different glassy materials with variable but controlled length scales of heterogeneity in a carefully mastered surrounding atmosphere. By using optical and atomic force microscopy (AFM)…

Condensed Matter · Physics 2009-11-10 C. Marliere , S. Prades , F. Celarie , D. Dalmas , D. Bonamy , C. Guillot , E. Bouchaud

When fast cracks become unstable to microscopic branching (micro-branching), fracture no longer occurs in an effective 2D medium. We follow in-plane crack front dynamics via real-time measurements in brittle gels as micro-branching unfolds…

Materials Science · Physics 2015-05-19 Itamar Kolvin , Gil Cohen , Jay Fineberg

The interaction of crack fronts with asperities is central to the criteria of fracture in heterogeneous materials and for predicting fracture surface formation. It is known how dynamic crack fronts respond to small, 1st-order,…

Soft Condensed Matter · Physics 2025-09-17 Itamar Kolvin , Mokhtar Adda-Bedia
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