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We investigate the approach to catastrophic failure in a model porous granular material undergoing uniaxial compression. A discrete element computational model is used to simulate both the micro-structure of the material and the complex…

Disordered Systems and Neural Networks · Physics 2014-02-27 F. Kun , I. Varga , S. Lennartz-Sassinek , I. G. Main

Understanding the microstructural influence on the failure mechanisms in multi-phase materials calls for the identification of the worst-case scenario. This necessitates a statistical approach. By performing simulations directly based on…

Materials Science · Physics 2016-12-06 T. W. J. de Geus , J. E. P. van Duuren , R. H. J. Peerlings , M. G. D. Geers

The failure of mechanical metamaterials is a function of the interplay between the properties of the base material and the microstructural geometry. Stochastic failure properties of the base material and disordered microstructural…

Materials Science · Physics 2025-09-01 Sage Fulco , Prashant K. Purohit , Michal K. Budzik , Kevin T. Turner

We discuss the failure dynamics of the Fiber Bundle Model, especially in the equal-load-sharing scheme. We also highlight the "Critical" aspects of their dynamics in comparison with those in standard thermodynamic systems undergoing phase…

Statistical Mechanics · Physics 2018-12-26 Srutarshi Pradhan , Bikas K. Chakrabarti

In the present paper, a fiber bundle model in (1+1)-dimensions that simulates the rupture process of a fibrous material pulled by an uniaxial force F is analyzed. In this model the load of a broken fiber is shifted in equal portions onto…

Statistical Mechanics · Physics 2016-08-31 I. L. Menezes-Sobrinho

We investigate how the macroscopic response and the size scaling of the ultimate strength of materials change when their local strength is sampled from a fat-tailed distribution and the degree of disorder is varied in a broad range. Using…

Disordered Systems and Neural Networks · Physics 2023-07-26 Zsuzsa Danku , Gergő Pál , Ferenc Kun

Fracture processes in heterogeneous materials comprise a large number of disordered spatial degrees of freedom, representing the dynamical state of a sample over the entire domain of interest. This complexity is usually modeled directly,…

Statistical Mechanics · Physics 2014-08-25 Yon Visell , Guillaume Millet

A variety of studies have modeled the physics of material deformation and damage as examples of generalized phase transitions, involving either critical phenomena or spinodal nucleation. Here we study a model for frictional sliding with…

We present a statistical model which is able to capture some interesting features exhibited in the Brazilian test. The model is based on breakable elements which break when the force experienced by the elements exceed their own load…

Soft Condensed Matter · Physics 2016-05-24 Sumanta Kundu , Anna Stroisz , Srutarshi Pradhan

We present an experimental and theoretical study of the fatigue failure of asphalt under cyclic compression. Varying the load amplitude, experiments reveal a finite fatigue limit below which the specimen does not break, while approaching…

Materials Science · Physics 2007-05-23 F. Kun , M. H. A. S. Costa , R. N. Costa Filho , J. S. Andrade , J. B. Soares , S. Zapperi , H. J. Herrmann

We investigate the tension distribution in systems of mass-less ropes under different loading conditions. For a two-rope system, we demonstrate how the breaking scenario depends on the applied force dynamics: rapid pulling causes the lower…

Physics Education · Physics 2026-01-27 Amir Eskandari-asl , Roberto De Luca

In this paper a composite model for earthquake rupture initiation and propagation is proposed. The model includes aspects of damage mechanics, fiber-bundle models, and slider-block models. An array of elements is introduced in analogy to…

Geophysics · Physics 2010-07-14 G. Yakovlev , J. D. Gran , D. L. Turcotte , J. B. Rundle , W. Klein

Differential shrinkage in particulate quasi-brittle materials causes microcracking which reduces durability in these materials by increasing their mass transport properties. A hydro-mechanical three-dimensional periodic network approach was…

Materials Science · Physics 2017-10-13 Ignatios Athanasiadis , Simon J. Wheeler , Peter Grassl

We have numerically studied a mean-field fiber bundle model of fracture at a non-zero temperature and acted by a constant external tensile stress. The individual fibers fail (local damage) due to creep-like dynamics that lead up to a…

Statistical Mechanics · Physics 2024-02-23 Tarun Ram Kanuri , Subhadeep Roy , Soumyajyoti Biswas

The average time for the onset of macroscopic fractures is analytically and numerically investigated in the fiber-bundle model with quenched disorder and thermal noise under a constant load. We find an implicit exact expression for the…

Materials Science · Physics 2009-11-07 Antonio Politi , Segio Ciliberto , Riccardo Scorretti

It is shown here that fracture after a brief plastic strain, typically of a few percents, is a necessary consequence of the polycrystalline nature of the materials. The polycrystal undergoing plastic deformation is modeled as a flowing…

Materials Science · Physics 2018-08-28 Miguel Lagos , César Retamal , Rodrigo Valle

A micromechanically motivated phase-field damage model is proposed to investigate the fracture behaviour in crosslinked polyurethane adhesive. The crosslinked polyurethane adhesive typically show viscoelastic behaviour with geometric…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 S. P. Josyula , M. Brede , O. Hesebeck , K. Koschek , W. Possart , A. Wulf , B. Zimmer , S. Diebels

We study the dynamics of a local load sharing fiber bundle model in two dimensions, under an external load (which increases with time at a fixed slow rate) applied at a single point. Due to the local load sharing nature, the redistributed…

Statistical Mechanics · Physics 2013-10-09 Soumyajyoti Biswas , Bikas K. Chakrabarti

In this work I have studied the effect of disorder and system size in fiber bundle model with a certain range of stress redistribution. The strength of the bundle as well as the failure abruptness is observed with varying disorder, stress…

Statistical Mechanics · Physics 2017-11-02 Subhadeep Roy

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…

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