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Related papers: Universality classes in creep rupture

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We study the creep rupture of fiber composites in the framework of fiber bundle models. Two novel fiber bundle models are introduced based on different microscopic mechanisms responsible for the macroscopic creep behavior. Analytical and…

Statistical Mechanics · Physics 2011-03-28 Ferenc Kun , Raul Cruz Hidalgo , Hans J. Herrmann , Karoly F. Pal

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

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

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

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 investigate the failure characteristics of complex networks within the framework of the fiber bundle model subject to the local load sharing rule in which the load of the broken fiber is transferred only to its neighbor fibers. Although…

Statistical Mechanics · Physics 2007-05-23 Dong-Hee Kim , Beom Jun Kim , Hawoong Jeong

An equal load sharing fiber bundle model for thermally activated breakdown is developed using transition state theory to describe the rate of elementary failures. The lifetime distribution, average, variance and their asymptotic limits for…

Statistical Mechanics · Physics 2025-08-20 Stefan Hiemer , Paolo Moretti , Stefano Zapperi , Michael Zaiser

We introduce a fiber bundle model where the interaction among fibers is modeled by an adjustable stress-transfer function which can interpolate between the two limiting cases of load redistribution, the global and the local load sharing…

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

The dynamics of critical slope self-organized critical models is studied, using a previous mapping into a linear interface depinning model dragged at one end. The model is solved obtaining the complete set of scaling exponents. Some results…

Condensed Matter · Physics 2007-05-23 Alexei Vazquez , Oscar Sotolongo-Costa

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

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

We study the dynamical aspects of a statistical-mechanical model for fracture of heterogeneous media: the fiber bundle model with various interaction range. Although the model does not include any thermal activation process, the system…

Statistical Mechanics · Physics 2018-07-04 Subhadeep Roy , Takahiro Hatano

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

The random fiber bundle (RFB) model, with the strength of the fibers distributed uniformly within a finite interval, is studied under the assumption of global load sharing among all unbroken fibers of the bundle. At any fixed value of the…

Statistical Mechanics · Physics 2009-11-07 S. Pradhan , P. Bhattacharyya , B. K. Chakrabarti

We investigate the fracture of heterogeneous materials occurring under unloading from an initial load. Based on a fiber bundle model of time dependent fracture, we show that depending on the unloading rate the system has two phases: for…

Disordered Systems and Neural Networks · Physics 2018-09-21 Reka Korei , Ferenc Kun

We present an extension of fiber bundle models considering that failed fibers still carry a fraction $0 \leq \alpha \leq 1$ of their failure load. The value of $\alpha$ interpolates between the perfectly brittle failure $(\alpha = 0)$ and…

Statistical Mechanics · Physics 2009-11-11 F. Raischel , F. Kun , H. J. Herrmann

The fiber bundle model describes a collection of elastic fibers under load. the fibers fail successively and for each failure, the load distribution among the surviving fibers change. Even though very simple, the model captures the…

Statistical Mechanics · Physics 2015-05-13 Srutarshi Pradhan , Alex Hansen , Bikas K. Chakrabarti

We study the phase transition in a class of fiber bundle models in which the fiber strengths are distributed randomly within a finite interval and global load sharing is assumed. The dynamics is expressed as recursion relations for the…

Statistical Mechanics · Physics 2009-11-07 Pratip Bhattacharyya , Srutarshi Pradhan , Bikas K. Chakrabarti

We study the failure properties of fiber bundles when continuous rupture goes on due to the application of external load on the bundles. We take the two extreme models: equal load sharing model (democratic fiber bundles) and local load…

Statistical Mechanics · Physics 2009-11-10 Srutarshi Pradhan , Bikas K. Chakrabarti

We consider systems whose steady-states exhibit a nonequilibrium phase transition from an active state to one -among an infinite number- absorbing state, as some control parameter is varied across a threshold value. The pair contact…

Statistical Mechanics · Physics 2009-11-07 F. van Wijland
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