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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…

统计力学 · 物理学 2009-11-11 Frank Raischel , Ferenc Kun , Hans J. Herrmann

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…

材料科学 · 物理学 2024-10-01 Ferenc Kun , Lynet Allan , Attia Batool , Zsuzsa Danku , Gergő Pál

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…

统计力学 · 物理学 2007-05-23 Dong-Hee Kim , Beom Jun Kim , Hawoong Jeong

We report a novel critical behavior in the breakdown of an equal load sharing fiber bundle model at a dispersion $\delta_c$ of the breaking threshold of the fibers. For $\delta < \delta_c$, there is a finite probability $P_b$, that…

统计力学 · 物理学 2014-12-04 Subhadeep Roy , Purusattam Ray

We analyze the failure process of a two-component system with widely different fracture strength in the framework of a fiber bundle model with localized load sharing. A fraction 0\leq \alpha \leq 1 of the bundle is strong and it is…

无序系统与神经网络 · 物理学 2013-10-08 K. Kovacs , R. C. Hidalgo , I. Pagonabarraga , F. Kun

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…

统计力学 · 物理学 2015-05-13 Srutarshi Pradhan , Alex Hansen , 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…

统计力学 · 物理学 2009-11-10 Srutarshi Pradhan , Bikas K. Chakrabarti

We consider first a homogeneous fiber bundle model where all the fibers have got the same stress threshold beyond which all fail simultaneously in absence of noise. At finite noise, the bundle acquires a fatigue behavior due to the…

统计力学 · 物理学 2009-11-07 Srutarshi Pradhan , Bikas K. Chakrabarti

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…

统计力学 · 物理学 2009-11-07 S. Pradhan , P. Bhattacharyya , B. K. Chakrabarti

We investigate the global failure threshold of an interconnected set of elements, when a finite fraction of the elements initially share an externally applied load. The study is done under the framework of random fiber bundle model, where…

统计力学 · 物理学 2018-07-09 Soumyajyoti Biswas , Parongama Sen

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…

统计力学 · 物理学 2018-05-28 Subhadeep Roy

We present a study of the fiber bundle model using equal load sharing dynamics where the breaking thresholds of the fibers are drawn randomly from a power law distribution of the form $p(b)\sim b^{-1}$ in the range $10^{-\beta}$ to…

无序系统与神经网络 · 物理学 2019-06-21 Chandreyee Roy , Sumanta Kundu , S. S. Manna

Fiber bundles with statistically distributed thresholds for breakdown of individual fibers are interesting models of the static and dynamics of failures in materials under stress. They can be analyzed to an extent that is not possible for…

软凝聚态物质 · 物理学 2009-09-29 Per C. Hemmer , Alex Hansen , Srutarshi Pradhan

We review limiting models for fracture in bundles of fibers, with statistically distributed thresholds for breakdown of individual fibers. During the breakdown process, avalanches consisting of simultaneous rupture of several fibers occur,…

统计力学 · 物理学 2009-10-30 M. Kloster , A. Hansen , P. C. Hemmer

As a model of composite material, the fiber bundle model has been chosen -where a bundle of fibers is subjected to external load and fibers have distributed thresholds. For different loading conditions, such a system shows few precursors…

材料科学 · 物理学 2015-05-19 Srutarshi Pradhan

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…

无序系统与神经网络 · 物理学 2023-07-26 Zsuzsa Danku , Gergő Pál , Ferenc Kun

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…

统计力学 · 物理学 2009-11-13 R. C. Hidalgo , K. Kovacs , I. Pagonabarraga , F. Kun

Presence of lower cutoff in fiber threshold distribution may affect the failure properties of a bundle of fibers subjected to external load. We investigate this possibility both in a equal load sharing (ELS) fiber bundle model and in local…

统计力学 · 物理学 2009-11-10 Srutarshi Pradhan , Alex Hansen

We study fracture processes within a stochastic fiber-bundle model where it is assumed that after the failure of a fiber, each intact fiber obtains a random fraction of the failing load. Within a Markov approximation, the breakdown…

材料科学 · 物理学 2013-03-27 Jörg Lehmann , Jakob Bernasconi

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…

统计力学 · 物理学 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann
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