Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/18830
Title: Critical ruptures in a bundle of slowly relaxing fibers
Author: Kovacs, K.
Nagy S.
Hidalgo, R. C.
Kun, F.
Herrmann, Hans J.
Pagonabarraga Mora, Ignacio
Keywords: Física de l'estat sòlid
Propietats de la matèria
Solid state physics
Properties of matter
Issue Date: 2008
Publisher: The American Physical Society
Abstract: We study the damage enhanced creep rupture of disordered materials by means of a fiber bundle model. Broken fibers undergo a slow stress relaxation modeled by a Maxwell element whose stress exponent m can vary in a broad range. Under global load sharing we show that due to the strength disorder of fibers, the lifetime tf of the bundle has sample-to-sample fluctuations characterized by a log-normal distribution independent of the type of disorder. We determine the Monkman-Grant relation of the model and establish a relation between the rupture life tf and the characteristic time tm of the intermediate creep regime of the bundle where the minimum strain rate is reached, making possible reliable estimates of tf from short term measurements. Approaching macroscopic failure, the deformation rate has a finite time power law singularity whose exponent is a decreasing function of m. On the microlevel the distribution of waiting times is found to have a power law behavior with m-dependent exponents different below and above the critical load of the bundle. Approaching the critical load from above, the cutoff value of the distributions has a power law divergence whose exponent coincides with the stress exponent of Maxwell elements.
Note: Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.77.036102
It is part of: Physical Review E, 2008, vol. 77, núm. 3, p. 036102-1-036102-8
Related resource: http://doi.org/10.1103/PhysRevE.77.036102
URI: http://hdl.handle.net/2445/18830
ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

Files in This Item:
File Description SizeFormat 
559504.pdf1.92 MBAdobe PDFView/Open


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