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We propose a machine learning approach to address a key challenge in materials science: predicting how fractures propagate in brittle materials under stress, and how these materials ultimately fail. Our methods use deep learning and train…

We investigate numerically the failure process when two elastic media, one hard and one soft that have been glued together thus forming a common interface, are pulled apart. We present three main results: (1) The area distribution of…

Condensed Matter · Physics 2009-11-07 G. George Batrouni , Alex Hansen , Jean Schmittbuhl

Elastic strain energy released during shear failure in rock is partially spent as fracture energy $\Gamma$ to propagate the rupture further. $\Gamma$ is dissipated within the rupture tip process zone, and includes energy dissipated as…

Geophysics · Physics 2020-07-21 Franciscus M. Aben , Nicolas Brantut , Thomas M. Mitchell

Composite materials, with statistically distributed threshold for breakdown of individual elements, are considered. During the failure process of such materials under external stress (load or voltage), avalanches consisting of simultaneous…

Soft Condensed Matter · Physics 2009-11-11 Srutarshi Pradhan , Alex Hansen , Per C. Hemmer

In nature, granular materials fail in abrupt avalanches, earthquakes, and other hazardous events, and also creep over time. Proposed failure mechanisms for these systems are broadly framed as friction-limited. However, mechanical…

Soft Condensed Matter · Physics 2025-04-30 Benjamin Allen , Nicholas W. Hayman

Bone is a multiscale heterogeneous materiel of which principal function is to support the body structure and to resist mechanical loading and fractures. Bone strength does not depend only on the quantity and quality of bone which is…

Tissues and Organs · Quantitative Biology 2011-07-07 Abdelwahed Barkaoui , Awad Bettamer , Ridha Hambli

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

The structure and mechanical properties of a simple two-dimensional model of a cohesive powder are investigated by molecular dynamics simulations. Micromechanical ingredients involve elasticity, friction, a short range attraction and,…

Disordered Systems and Neural Networks · Physics 2007-05-24 Francisco Gilabert , Jean-Noel Roux , Antonio Castellanos

We study the statistics of the force felt by a particle in the class of spatially correlated distribution of identical point-like particles, interacting via a $1/r^2$ pair force (i.e. gravitational or Coulomb), and obtained by randomly…

Statistical Mechanics · Physics 2009-11-11 A. Gabrielli , T. Baertschiger , M. Joyce , B. Marcos , F. Sylos Labini

We present creep experiments on fiber composite materials with controlled heterogeneity. Recorded strain rates and acoustic emission rates exhibit a power law relaxation in the primary creep regime (Andrade law) followed by a power law…

Materials Science · Physics 2009-11-10 H. Nechad , A. Helmstetter , R. El Guerjouma , D. Sornette

The compressive yield stress of particle gels shows a highly nonlinear dependence on the packing fraction. We have studied continuous compression processes, and discussed the packing fraction dependence with the particle scale…

Soft Condensed Matter · Physics 2013-11-22 Ryohei Seto , Robert Botet , Martine Meireles , Günter K. Auernhammer , Bernard Cabane

During an earthquake, slip occurs in a localised shear zone that features a heavily granulated fault core that can be characterised as a shear band. We study the formation of this fault core in a granular rock such as sandstone by…

Geophysics · Physics 2025-09-29 N. A. Collins-Craft , I. Stefanou , J. Sulem , I. Einav

Numerical simulations of asteroid break-ups, including both the fragmentation of the parent body and the gravitational interactions between the fragments, have allowed us to reproduce successfully the main properties of asteroid families…

Earth and Planetary Astrophysics · Physics 2015-05-14 Martin Jutzi , Patrick Michel , Willy Benz , Derek C. Richardson

Soft polymers are ubiquitous materials in nature and as engineering materials with properties varying from rate-independent to rate-dependent. Current fracture toughness measures are non-unique for rate-dependent soft materials for varying…

Soft Condensed Matter · Physics 2026-03-17 Aditya Konale , Vikas Srivastava

The intermittent burst dynamics during the slow drainage of a porous medium is studied experimentally. We have shown that this system satisfies a set of conditions known to be true for critical systems, such as intermittent activity with…

Fluid Dynamics · Physics 2017-06-14 Marcel Moura , Knut Jørgen Måløy , Renaud Toussaint

We investigate the failure process of fiber bundles with structural disorder represented by the random misalignment of fibers. The strength of fibers is assumed to be constant so that misalignment is the only source of disorder, which…

Materials Science · Physics 2024-10-01 Ferenc Kun , Lynet Allan , Attia Batool , Zsuzsa Danku , Gergő Pál

The modeling of high velocity impact into brittle or quasibrittle solids is hampered by the unavailability of a constitutive model capturing the effects of material comminution into very fine particles. The present objective is to develop…

Materials Science · Physics 2013-06-06 Zdenek P. Bazant , Ferhun C. Caner

In this letter we address the fragmentation of thin, brittle layers due to the impact of high-velocity projectiles. Our approach is a geometric statistical one, with lines and circles playing the role of cracks, randomly distributed over…

Soft Condensed Matter · Physics 2014-09-30 Rebeca C. Falcão , Fernando Parisio

Variational phase-field models of fracture are widely used to simulate nucleation and propagation of cracks in brittle materials. They are based on the approximation of the solutions of free-discontinuity fracture energy by two smooth…

Numerical Analysis · Mathematics 2023-02-14 Frederic Marazzato , Blaise Bourdin

We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs.…

Statistical Mechanics · Physics 2007-05-23 Purusattam Ray