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Related papers: Breakdown of fiber bundles with stochastic load-re…

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The present paper describes a stochastic model of fracture, whose fragment size distribution can be calculated analytically as a power-law-like distribution. The model is basically cascade fracture, but incorporates the effect that each…

Statistical Mechanics · Physics 2013-04-10 Ken Yamamoto , Yoshihiro Yamazaki

We study the existence of distinct failure regimes in a model for fracture in fibrous materials. We simulate a bundle of parallel fibers under uniaxial static load and observe two different failure regimes: a catastrophic and a slowly…

Statistical Mechanics · Physics 2015-06-24 I. L. Menezes-Sobrinho , J. G. Moreira , A. T. Bernardes

The study reports a systematic evaluation of the role of spatially correlated mechanical elements on failure behavior of heterogeneous materials represented by fiber bundle models (FBM) with different load redistribution rules. The increase…

Adaptation and Self-Organizing Systems · Physics 2013-10-23 Jerome Faillettaz , Dani Or

The mechanical characteristics of fibers (of various materials), as well as of fiber bundles, are of primary importance for the design and the mechanical behavior of textiles, or of fibrous and composite materials. These characteristics are…

Soft Condensed Matter · Physics 2026-03-17 Jerome Weiss

This research explores the influence of interfacial debonding between a broken fiber and matrix on stress redistribution surrounding a fiber break within a unidirectional (UD) impregnated fiber bundle, accounting for misalignment of fibers…

Applied Physics · Physics 2025-03-25 Milad Jafarypouria , Stepan Lomov , Sergey Abaimov

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

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

One aim of the equal load sharing fiber bundle model is to describe the critical behavior of failure events. One way of accomplishing this, is through a discrete recursive dynamics. We introduce a continuous mesoscopic equation catching the…

Statistical Mechanics · Physics 2018-09-19 Martin Hendrick , Srutarshi Pradhan , Alex Hansen

We study the creep rupture of bundles of viscoelastic fibers occurring under uniaxial constant tensile loading. A novel fiber bundle model is introduced which combines the viscoelastic constitutive behaviour and the strain controlled…

Statistical Mechanics · Physics 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann

In this paper I have studied the fiber bundle model with a fraction {\alpha} of infinitely strong fibers. Inclusion of such unbreakable fraction has been proven to affect the failure process in early studies, especially around a critical…

Statistical Mechanics · Physics 2018-05-28 Subhadeep Roy

We study the breakdown of a random fiber bundle model (RFBM) with $n$-discontinuities in the threshold distribution using the global load sharing scheme. In other words, $n+1$ different classes of fibers identified on the basis of their…

Statistical Mechanics · Physics 2009-11-13 Uma Divakaran , Amit Dutta

The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

Disordered Systems and Neural Networks · Physics 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

We study a random fiber bundle model with tips of the fibers placed on a graph having co-ordination number 3. These fibers follow local load sharing with uniformly distributed threshold strengths of the fibers. We have studied the critical…

Statistical Mechanics · Physics 2009-11-11 Uma Divakaran , Amit Dutta

The dynamics of a fibre-bundle type model with equal load sharing rule is numerically studied. The system, formed by N elements, is driven by a slow increase of the load upon it which is removed in a novel way through internal transfers to…

Statistical Mechanics · Physics 2009-10-31 Y. Moreno , J. B. Gomez , A. F. Pacheco

The instability introduced in a large scale-free network by the triggering of node-breaking avalanches is analyzed using the fiber-bundle model as conceptual framework. We found, by measuring the size of the giant component, the avalanche…

Statistical Mechanics · Physics 2016-08-16 Y. Moreno , J. B. Gómez , A. F. Pacheco

We introduce a model for yielding, inspired by fracture models and the failure of a sheared granular medium in which the applied shear is resisted by self-organized force chains. The force chains in the granular medium (GM) are considered…

Statistical Mechanics · Physics 2015-05-14 Fergal Dalton , Alberto Petri , Giorgio Pontuale

We attempt to describe the stress distributions of granular packings using lattice-based layer-by-layer stochastic models that satisfy the constraints of force and torque balance and non-tensile forces at each site. The inherent asymmetry…

Soft Condensed Matter · Physics 2009-10-31 M. L. Nguyen , S. N. Coppersmith

We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler-Bernoulli beams. A fault inside the structure is assumed…

Applied Physics · Physics 2019-05-15 M. Garau , M. J. Nieves , I. S. Jones

A bundle of fibers has been considered here as a model for composite materials, where breaking of the fibers occur due to a combined influence of applied load (stress) and external noise. Through numerical simulation and a mean-field…

Statistical Mechanics · Physics 2013-07-26 Srutarshi Pradhan , Anjan Kumar Chandra , Bikas K. Chakrabarti

Recent progress in nanotechnology enables us to utilize the elastic strain engineering, the emerging technology capable of controlling the physio-chemical properties of materials via externally-imposed elastic strains, for hard materials.…

Materials Science · Physics 2018-11-13 Dahye Shin , Dongchan Jang
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