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In this review article we consider the crack growth resistance ofmicrometer and submicrometer sized samples from the fracture mechanics point of view. Standard fracture mechanics test procedures were developed for macroscale samples, and…

Materials Science · Physics 2020-09-14 Reinhard Pippan , Stefan Wurster , Daniel Kiener

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

The morphology of fracture surfaces encodes the various complex damage and fracture processes occurring at the microstructure scale that have lead to the failure of a given heterogeneous material. Understanding how to decipher this…

Statistical Mechanics · Physics 2009-11-11 Laurent Ponson , Daniel Bonamy , Elisabeth Bouchaud

Complex textured surfaces occur in nature and industry, from fingerprints to lithography-based micropatterns. Wrinkling by confinement to an incompatible substrate is an attractive way of generating reconfigurable patterned topographies,…

Soft Condensed Matter · Physics 2023-03-21 Ian Tobasco , Yousra Timounay , Desislava Todorova , Graham C. Leggat , Joseph D. Paulsen , Eleni Katifori

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 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 growth dynamics of a single crack in a heterogeneous material under subcritical loading is an intermittent process; and many features of this dynamics have been shown to agree with simple models of thermally activated rupture. In order…

Disordered Systems and Neural Networks · Physics 2013-10-15 Osvanny Ramos , Pierre-Philippe Cortet , Sergio Ciliberto , Loïc Vanel

The problem of predicting the growth of a system of cracks, each crack influencing the growth of the others, arises in multiple fields. We develop an analytical framework toward this aim, which we apply to the `En-Passant' family of crack…

Soft Condensed Matter · Physics 2015-08-18 Ramin Ghelichi , Ken Kamrin

While cracking is a complex dynamics that involves material intrinsic properties like grain shape and size distribution, elastic properties of grain and cementing materials, and extrinsic properties of loading, in this work, the focus has…

Materials Science · Physics 2024-10-10 Ruhul A. I. Haque , T. Dutta

In this paper we are concerned with the problem of a crack lying at the interface between dissimilar materials with microstructure undergoing antiplane deformations. The micropolar behaviour of the materials is described by the theory of…

Mathematical Physics · Physics 2011-04-05 Andrea Piccolroaz , Gennady Mishuris , Enrico Radi

Many clays, soils, biological tissues, foods, and coatings are shrinkable, granular materials: they are composed of packed, hydrated grains that shrink when dried. In many cases, these packings crack during drying, critically hindering…

Soft Condensed Matter · Physics 2019-07-23 H. Jeremy Cho , Nancy B. Lu , Michael P. Howard , Rebekah A. Adams , Sujit S. Datta

We report pattern formation in an otherwise non-uniform and unsteady flow arising in high-speed liquid entrainment conditions on the outer wall of a wide rotating drum. We show that the coating flow in this rotary drag-out undergoes axial…

Fluid Dynamics · Physics 2025-01-08 J. John Soundar Jerome , Pierre Trontin , Jean-Philippe Matas

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

In earlier papers (Leblond et.al., 2011, 2019), we presented linear stability analyses of the coplanar propagation of a crack loaded in mixed-mode I+III, based on a "double'' propagation criterion combining Griffith (1920)'s energetic…

Soft Condensed Matter · Physics 2020-03-18 Aditya Vasudevan , Laurent Ponson , Jean-Baptiste Leblond , Alain Karma

We reproduce patterns of drying paste by means of smoothed particle hydrodynamics which is the one of methods for solving the equations of continuum in the Lagrangian description. In addition to reproduce a realistic pattern, we find that…

Computational Physics · Physics 2016-10-18 Shin-ichi Ito , Satoshi Yukawa

The dynamic fragmentation of residually stressed solids involves a complex interplay between stored elastic energy, stress wave propagation, and crack instabilities. In this work, we investigate the fracture mechanics of chemically…

Soft Condensed Matter · Physics 2026-02-25 Vineet Dawara , Koushik Viswanathan

We study the dynamics of cracks in brittle materials when the velocity of the crack is comparable to the sound velocity by means of lattice simulations. Inertial and damped dynamics are analyzed. It is shown that dissipation strongly…

Materials Science · Physics 2007-05-23 O. Pla , F. Guinea , E. Louis , S. V. Ghaisas , L. M. Sander

We investigate the roughening of shear cracks running along the interface between a thin film and a rigid substrate. We demonstrate that short-range correlated fluctuations of the interface strength lead to self-affine roughening of the…

Materials Science · Physics 2015-05-13 M. Zaiser , P. Moretti , A. Konstantinidis , E. C. Aifantis

The common approach to crack dynamics, linear elastic fracture mechanics (LEFM), assumes infinitesimal strains and predicts a $r^{-1/2}$ strain divergence at a crack tip. We extend this framework by deriving a weakly nonlinear fracture…

Materials Science · Physics 2009-11-13 Eran Bouchbinder , Ariel Livne , Jay Fineberg

We investigate fracture toughness of architected interfaces and their ability to maintain structural integrity and provide stable damage propagation conditions beyond the failure load. We propose theoretical and numerical frameworks to…

Applied Physics · Physics 2024-02-27 Michelle L. S. Hedvard , Marcelo A. Dias , Michal K. Budzik