2003/07/30 by Srutarshi Pradhan, SRUTARSHI PRADHAN, Bikas K. Chakrabarti +1 · 2 citations
Chemistry · Engineering · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Composite Material Mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1142/s0217979203023264
published as Int. J. Mod. Phys. B 17 5565 (2003) · 18 pages and 10 figs, to be published as DMTAS conf. proc. (held in Chennai India) in IJMPB
arxiv created 2003/07/30 · openalex publication_date 2003/11/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 sharing model. The strength of the fibers are assumed to be distributed randomly within a finite interval. The democratic fiber bundles show a solvable phase transition at a critical stress (load per fiber). The dynamic critical behavior is obtained analytically near the critical point and the critical exponents are found to be universal. This model also shows elastic-plastic like nonlinear deformation behavior when the fiber strength distribution has a lower cut-off. We solve analytically the fatigue-failure in a democratic bundle, and the behavior qualitatively agrees with the experimental observations. The strength of the local load sharing bundles is obtained numerically and compared with the existing results. Finally we map the failure phenomena of fiber bundles in terms of magnetic model (Ising model) which may resolve the ambiguity of studying the failure properties of fiber bundles in higher dimensions.