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A fiber bundle model in $(1+1)$-dimensions for the breaking of fibrous composite matrix is introduced. The model consists of $N$ parallel fibers fixed in two plates. When one of the plates is pulled in the direction parallel to the fibers,…

Condensed Matter · Physics 2009-10-22 A. T. Bernardes , J. G. Moreira

A droplet of surfactant spreading on an ultrasoft ($E \lesssim 100$ Pa) gel substrate will produce capillary fractures at the gel surface; these fractures originate at the contact-line and propagate outwards in a starburst pattern. There is…

Soft Condensed Matter · Physics 2016-08-24 Marion Grzelka , Joshua B. Bostwick , Karen E. Daniels

Linear elastic fracture mechanics theory predicts that the speed of crack growth is limited by the Rayleigh wave speed. Although many experimental observations and numerical simulations have supported this prediction, some exceptions have…

Soft Condensed Matter · Physics 2024-01-05 Mohit Pundir , Mokhtar Adda-Bedia , David S. Kammer

We present a continuum theory which describes the fast growth of a crack by surface diffusion. This mechanism overcomes the usual cusp singularity by a self-consistent selection of the crack tip radius. It predicts the saturation of the…

Materials Science · Physics 2009-11-07 Efim A. Brener , Robert Spatschek

The statistical properties of turbulence are considered to be universal at sufficiently small length scales, i. e., independent of boundary conditions and large-scale forces acting on the fluid. Analyzing data from numerical simulations of…

Astrophysics · Physics 2008-12-18 Wolfram Schmidt , Christoph Federrath , Ralf Klessen

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

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

The fracture of highly deformable soft materials is of great practical importance in a wide range of technological applications, emerging in fields such as soft robotics, stretchable electronics and tissue engineering. From a basic physics…

Soft Condensed Matter · Physics 2022-10-05 Rong Long , Chung-Yuen Hui , Jian Ping Gong , Eran Bouchbinder

The deformation of rocks is associated with microcracks nucleation and propagation, i.e. damage. The accumulation of damage and its spatial localization lead to the creation of a macroscale discontinuity, so-called "fault" in geological…

Geophysics · Physics 2007-09-19 David Amitrano

In this paper we first obtain the order of stress singularity for a dynamically propagating self-affine fractal crack. We then show that there is always an upper bound to roughness, i.e. a propagating fractal crack reaches a terminal…

Materials Science · Physics 2010-04-28 Arash Yavari , Hamed Khezrzadeh

The transition from stick to slip at a dry frictional interface occurs through the breaking of the junctions between the two contacting surfaces. Typically, interactions between the junctions through the bulk lead to rupture fronts…

Per weight graphene is stronger than steel, but because graphene is so thin, it breaks and evidently forms cracks during handling, particularly when supporting polymers are not used for transfer. In this paper, the parameter rupture index…

Materials Science · Physics 2017-01-11 Hadi Arjmandi-Tash , Lin Jiang , Grégory F. Schneider

We consider parallel splitting of a strip composed of two different chains. As a waveguide, the dissimilar-chain structure radically differs from the well-studied identical-chain system. It is characterized by three speeds of the long…

Classical Physics · Physics 2017-10-11 Igor E. Berinskii , Leonid I. Slepyan

The extent to which time-dependent fracture criteria affect the dynamic behavior of fracture in a discrete structure is discussed in this work. The simplest case of a semi-infinite isotropic chain of oscillators has been studied. Two…

Materials Science · Physics 2017-10-24 Nikolai Gorbushin , Gennaro Vitucci , Grigory Volkov , Gennady Mishuris

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

Statistical Mechanics · Physics 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

Non-linear sound is an extreme phenomenon typically observed in solids after violent explosions. But granular media are different. Right when they jam, these fragile and disordered solids exhibit a vanishing rigidity and sound speed, so…

Soft Condensed Matter · Physics 2013-05-30 Leopoldo R. Gomez , Ari M. Turner , Martin van Hecke , Vincenzo Vitelli

We investigate dynamic fracture of heterogeneous materials experimentally by measuring displacement fields as a rupture propagates through a periodic array of obstacles of controlled fracture energy. Our measurements demonstrate the…

Soft Condensed Matter · Physics 2021-07-21 Gabriele Albertini , Mathias Lebihain , François Hild , Laurent Ponson , David S. Kammer

Cracks in soft materials exhibit diverse dynamic patterns, involving straight, oscillation, branching, and supershear fracture. Here, we successfully reproduce these crack morphologies in a two-dimensional pre-strained fracture scenario and…

Soft Condensed Matter · Physics 2023-08-25 Fucheng Tian , Jian Ping Gong

We have designed a new experimental setup able to investigate fracture of soft materials at small scales. At high crack velocity, where energy is mostly dissipated through viscoelastic processes, we observe an increasingly large high strain…

Soft Condensed Matter · Physics 2015-01-08 Maxime Lefranc , Elisabeth Bouchaud

Drawing a direct analogy with the well-studied vibration or elastic modes, we introduce an object's fracture modes, which constitute its preferred or most natural ways of breaking. We formulate a sparsified eigenvalue problem, which we…