Crossover behavior in a mixed mode fiber bundle model
arXiv:cond-mat/0405437 · doi:10.1103/PhysRevE.71.036149
Abstract
We introduce a mixed-mode load sharing scheme in fiber bundle model. This model reduces exactly to equal load sharing (ELS) and local load sharing (LLS) models at the two extreme conditions of the load sharing rule. We identify two distinct regimes: a) Mean-field regime where ELS mode dominates and b) short range regime dominated by LLS mode. The crossover behavior is explored through the numerical study of strength variation, the avalanche statistics, susceptibility and relaxation time variations, the correlations among the broken fibers and their cluster analysis. Analyzing the moments of the cluster size distributions we locate the crossover point of these regimes. We thus conclude that even in one dimension, fiber bundle model shows crossover behavior from mean-field to short range interactions.
arXiv comment5 pages, 8 figures
References in corpus (11)
- First-Order Transition in the Breakdown of Disordered Media
- Burst avalanches in solvable models of fibrous materials
- Fracture model with variable range of interaction
- Fracture and second-order phase transitions
- Dynamic critical behavior of failure and plastic deformation in the random fiber bundle model
- Precursors of catastrophe in the BTW, Manna and random fiber bundle models of failure
- Phase transition in fiber bundle models with recursive dynamics
- Failure properties of fiber bundle models
- An Introduction to Breakdown Phenomena in Disordered Systems
- Failure due to fatigue in fiber bundles and solids
- Model for Fracture in Fibrous Materials
Cited by in corpus (12)
- Statistical Models of Fracture
- Failure Processes in Elastic Fiber Bundles
- Failure properties of loaded fiber bundles having a lower cutoff in fiber threshold distribution
- Nucleation versus percolation: Scaling criterion for failure in disordered solids
- Universality class of fiber bundles with strong heterogeneities
- Brittle to Ductile Transition in a Fiber Bundle with Strong Heterogeneity
- Effect of discontinuity in threshold distribution on the critical behaviour of a random fiber bundle
- Crossover behaviors in one and two dimensional heterogeneous load sharing fiber bundle models
- Breakdown of fiber bundles with stochastic load-redistribution
- Discrete Fracture Model with Anisotropic Load Sharing
- Interface propagation in fiber bundles: Local, mean-field and intermediate range-dependent statistics
- Introduction to Critical Phenomena through the Fiber Bundle Model of Fracture