Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/51244
Title: Brittle to ductile transition in a fiber bundle with strong heterogeneity
Author: Kovacs, K.
Cruz Hidalgo, Raul
Pagonabarraga Mora, Ignacio
Kun, F.
Keywords: Feixos fibrats (Matemàtica)
Física estadística
Percolació (Física estadística)
Simulació per ordinador
Materials compostos
Fiber bundles (Mathematics)
Statistical physics
Percolation (Statistical physics)
Computer simulation
Composite materials
Issue Date: 29-Apr-2013
Publisher: American Physical Society
Abstract: We analyze the failure process of a two-component system with widely different fracture strength in the framework of a fiber bundle model with localized load sharing. A fraction 0≤α≤1 of the bundle is strong and it is represented by unbreakable fibers, while fibers of the weak component have randomly distributed failure strength. Computer simulations revealed that there exists a critical composition αc which separates two qualitatively different behaviors: Below the critical point, the failure of the bundle is brittle, characterized by an abrupt damage growth within the breakable part of the system. Above αc, however, the macroscopic response becomes ductile, providing stability during the entire breaking process. The transition occurs at an astonishingly low fraction of strong fibers which can have importance for applications. We show that in the ductile phase, the size distribution of breaking bursts has a power law functional form with an exponent μ=2 followed by an exponential cutoff. In the brittle phase, the power law also prevails but with a higher exponent μ=92. The transition between the two phases shows analogies to continuous phase transitions. Analyzing the microstructure of the damage, it was found that at the beginning of the fracture process cracks nucleate randomly, while later on growth and coalescence of cracks dominate, which give rise to power law distributed crack sizes.
Note: Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.87.042816
It is part of: Physical Review E, 2013, vol. 87, p. 042816-1-042816-8
Related resource: http://dx.doi.org/10.1103/PhysRevE.87.042816
URI: http://hdl.handle.net/2445/51244
ISSN: 1539-3755
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

Files in This Item:
File Description SizeFormat 
631704.pdf2.26 MBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.