Volume 81, Number 5, March 2008
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||19 February 2008|
Universality class of fiber bundles with strong heterogeneities
AMADE, Departament de Física and Departament de Enginyeria Mecànica de la Construcció Industrial, Universitat de Girona - Ave. Montilivi s/n, E-17071 Girona, Spain
2 Department of Theoretical Physics, University of Debrecen - P.O. Box 5, H-4010 Debrecen, Hungary
3 Department of Applied Mathematics and Probability Theory, University of Debrecen P.O. Box 12, H-4010 Debrecen, Hungary
4 Departament de Física Fonamental, Universitat de Barcelona - Carrer Martí i Franqués 1, E-08028 Barcelona, Spain
Accepted: 18 January 2008
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 0α1 of fibers is unbreakable, while the remaining 1-α fraction is characterized by a distribution of breaking thresholds. Assuming global load sharing, we show analytically that there exists a critical fraction of the components αc which separates two qualitatively different regimes of the system: below αc the burst size distribution is a power law with the usual exponent τ=5/2, while above αc the exponent switches to a lower value τ=9/4 and a cutoff function occurs with a diverging characteristic size. Analyzing the macroscopic response of the system we demonstrate that the transition is conditioned to disorder distributions where the constitutive curve has a single maximum and an inflexion point defining a novel universality class of breakdown phenomena.
PACS: 46.50.+a – Fracture mechanics, fatigue and cracks / 62.20.M- – Structural failure of materials / 64.60.A- – Specific approaches applied to studies of phase transitions
© EPLA, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.