2010/09/07 by Srutarshi Pradhan, P. C. Hemmer, Per C. Hemmer · 9 citations
Decision Sciences · Engineering · Mathematics · Physics and Astronomy · #Bundle #Complex Network Analysis Techniques #Composite material #Critical point (mathematics) #Elasticity (physics) #Energy (signal processing) #Engineering #Environmental science #Fiber bundle #Geometry #Materials science #Mathematics #Mechanics #Physics #Point (geometry) #Probabilistic and Robust Engineering Design #Scientific Research and Discoveries #Structural engineering #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.83.041116
published in Physical Review E 83(4), 041116 (American Physical Society) · 5 pages, 3 figures, submitted to Phys. Rev. E
arxiv created 2010/09/07 · openalex publication_date 2011/04/18 · arxiv updated 2015/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bundle of many fibers with stochastically distributed breaking thresholds is considered as a model of composite materials. The fibers are assumed to share the load equally and to obey Hookean elasticity up to the breaking point. The bundle is slightly overloaded which leads to complete failure. We study the properties of emission bursts in which an amount of energy E is released. The analysis shows that the size of the energy bursts has a minimum when the system is halfway from the collapse point.