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We study random fiber bundle model (RFBM) with different threshold strength distributions and load sharing rules. A mixed RFBM within global load sharing scheme is introduced which consists of weak and strong fibers with uniform…

统计力学 · 物理学 2007-05-23 Uma Divakaran , Amit Dutta

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 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…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

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

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

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 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…

统计力学 · 物理学 2009-11-13 Uma Divakaran , Amit Dutta

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

We propose a generic model to describe the mechanical response and failure of systems which undergo a series of stick-slip events when subjected to an external load. We model the system as a bundle of fibers, where single fibers can…

无序系统与神经网络 · 物理学 2011-04-28 Zoltan Halasz , Ferenc Kun

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

Under an applied external load the global load-sharing fiber bundle model, with individual fiber strength thresholds sampled randomly from a probability distribution, will relax to an equilibrium state, or to complete bundle breakdown. The…

统计力学 · 物理学 2010-09-20 Srutarshi Pradhan , Per 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

The critical behaviour of a Random Fiber Bundle Model with mixed uniform distribution of threshold strengths and global load sharing rule is studied with a special emphasis on the nature of distribution of avalanches for different…

统计力学 · 物理学 2009-11-11 Uma Divakaran , Amit Dutta

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…

统计力学 · 物理学 2011-03-28 Ferenc Kun , Raul Cruz Hidalgo , Hans J. Herrmann , Karoly F. Pal

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

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 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…

统计力学 · 物理学 2009-11-11 Uma Divakaran , Amit Dutta

A realistic continuous-time dynamics for fiber bundles is introduced and studied both analytically and numerically. The equation of motion reproduces known stationary-state results in the deterministic limit while the system under…

统计力学 · 物理学 2009-11-10 M. Y. Choi , J. Choi , B. -G. Yoon

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
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