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We study the effect of strong heterogeneities on the fracture of disordered materials using a fiber bundle model. The bundle is composed of two subsets of fibers, i.e. a fraction 0<\alpha<1 of fibers is unbreakable, while the remaining…

Statistical Mechanics · Physics 2009-11-13 R. C. Hidalgo , K. Kovacs , I. Pagonabarraga , F. Kun

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

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

We investigate the statistics of record breaking events in the time series of crackling bursts in a fiber bundle model of the creep rupture of heterogeneous materials. In the model fibers break due to two mechanisms: slowly accumulating…

Disordered Systems and Neural Networks · Physics 2015-03-13 Zsuzsa Danku , Ferenc Kun

We study the failure properties of fiber bundles with a finite lower cutoff of the strength disorder varying the range of interaction between the limiting cases of completely global and completely local load sharing. Computer simulations…

Statistical Mechanics · Physics 2009-11-11 Frank Raischel , Ferenc Kun , Hans J. Herrmann

We investigate the geometrical structure of breaking bursts generated during the creep rupture of heterogeneous materials. Based on a fiber bundle model with localized load sharing we show that bursts are compact geometrical objects,…

Disordered Systems and Neural Networks · Physics 2015-12-04 Zsuzsa Danku , Ferenc Kun , Hans J. Herrmann

To understand the general properties of creep failure with healing effects, we study a mean-field fiber bundle model with probabilistic rupture and rejoining processes. The dynamics of the model are determined by two factors: bond breaking…

Statistical Mechanics · Physics 2022-03-01 Subhadeep Roy , Takahiro Hatano

We consider quasistatic fiber bundle models with interactions. Classical load sharing rules are considered, i.e. local, global or decaying as a power-law of distance. All fibers are identically elastic, initially intact, and break at a…

Materials Science · Physics 2007-05-23 Renaud Toussaint

A bundle of many fibers with stochastically distributed breaking thresholds is considered as a model of composite materials. The fibers are assumed to share the load equally, and to obey Hookean elasticity up to the breaking point. The…

Materials Science · Physics 2015-05-19 Srutarshi Pradhan , Per C. Hemmer

A recent theory that determines the properties of disordered solids as the solid accumulates damage is applied to the special case of fiber bundles with global load sharing and is shown to be exact in this case. The theory postulates that…

Statistical Mechanics · Physics 2015-06-24 Steven R. Pride , Renaud Toussaint

The fragmentation of small, brittle, flexible, inextensible fibers is investigated in a fully-developed, homogeneous, isotropic turbulent flow. Such small fibers spend most of their time fully stretched and their dynamics follows that of…

Soft Condensed Matter · Physics 2019-12-17 Sofía Allende , Christophe Henry , Jérémie Bec

We investigate the temporal and spacial evolution of single bursts and their statistics emerging in heterogeneous materials under a constant external load. Based on a fiber bundle model we demonstrate that when the load redistribution is…

Disordered Systems and Neural Networks · Physics 2013-10-08 Zsuzsa Danku , Ferenc Kun

Strengthening of materials and preventing abrupt fracture are really challenging jobs in the field of engineering and material science. Such problems can be resolved by using composite materials. In this work, we have studied the fracture…

Materials Science · Physics 2016-02-15 Subhadeep Roy , Sanchari Goswami

Various kinds of heterogeneity in solids including atomistic discreteness affect the fracture strength as well as the failure dynamics remarkably. Here we study the effects of an initial crack in a discrete model for fracture in…

Statistical Mechanics · Physics 2022-06-01 Subhadeep Roy , Takahiro Hatano , Purusattam Ray

We investigate the effect of the amount of disorder on the statistics of breaking bursts during the quasi-static fracture of heterogeneous materials. We consider a fiber bundle model where the strength of single fibers is sampled from a…

Disordered Systems and Neural Networks · Physics 2019-11-19 Viktoria Kadar , Ferenc Kun

We study the time evolution of damage in a fiber bundle model in which the range of interaction of fibers varies through an adjustable stress transfer function recently introduced. We find that the lifetime of the material exhibits a…

Statistical Mechanics · Physics 2009-11-07 Oluwole E. Yewande , Yamir Moreno , Ferenc Kun , Raul Cruz Hidalgo , Hans J. Herrmann

We discuss the cooperative failure dynamics in the Fiber Bundle Model where the individual elements or fibers are Hookean springs, having identical spring constant but different breaking strengths. When the bundle is stressed or strained,…

Statistical Mechanics · Physics 2020-12-24 Bikas K. Chakrabarti , Soumyajyoti Biswas , Srutarshi Pradhan

The possible paralelism existing between phase transitions and fracture in disordered materials, is discussed using the well-known Fiber Bundle Models and a probabilistic approach suited to smooth fluctuations near the critical point. Two…

Statistical Mechanics · Physics 2009-11-07 Y. Moreno , J. B. Gomez , A. F. Pacheco

The evolution of effective force chains percolating through a compressed granular system is investigated. We performed experiments by compressing an ensemble of spherical particles in a cylindrical container monitoring the macroscopic…

Condensed Matter · Physics 2007-05-23 Raul Cruz Hidalgo , Christian U. Grosse , Ferenc Kun , Hans W. Reinhardt , Hans J. Herrmann

I adapted a model recently introduced in the context of seismic phenomena, to study creep rupture of materials. It consists of linear elastic fibers that interact in an equal load sharing scheme, complemented with a local viscoelastic…

Materials Science · Physics 2013-05-29 E. A. Jagla