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Hader A.,Hassan II University | Hader A.,Center Regional Des Metiers Deducation Et Of Formation Settat | Achik I.,Hassan II University | Sbiaai H.,Hassan II University | And 3 more authors.
Molecular Crystals and Liquid Crystals | Year: 2016

We study the crack diffusion in composite materials subject to a local load-sharing fiber bundle model in two dimensions under an external load applied at a single point. By the use of the local load-sharing rule, the redistributed load remains localized along the boundary of the broken patch. We investigated the correlation function of the broken fibers. The results show that this magnitude decreases exponentially with time and it's characterized by a characteristic time which is inversely proportional to the diffusion coefficient of the localized crack. The results exhibit also that the crack correlation function in the failure process in composite materials decreases with both of applied load and temperature. We calculate then the diffusion coefficient of the localized crack. We have found that this diffusion coefficient increases by power law with the applied load and thermal noise. © 2016 Taylor & Francis Group, LLC.


Hader A.,Hassan II University | Hader A.,Center Regional Des Metiers Deducation Et Of Formation Settat | Achik I.,Hassan II University | Lahyani A.,Hassan II University | And 4 more authors.
Superlattices and Microstructures | Year: 2014

Our aim in this paper is to investigate the time distribution of the monomer intact fiber of a bundle model of fibers subject to a constant external load. Breaking process is created by thermally induced stress fluctuations followed by load redistribution with the local load-sharing rule (LLS) which subsequently leads to an avalanche of breakings. The results showed that the maximum number of the intact fiber monomer (MNIFM) was observed at time t 1 proportional to the materials failure time tf independently of the temperature value (t113tf). So, this parameter can characterize clearly the avalanche phenomenon observed in the failure process of the composite materials. Moreover, we have found that MNIFM presents a Gaussian variation with the applied load and exhibits a power law with the size of the system. The MNIFM temperature dependence was also investigated in this study. © 2014 Elsevier Ltd. All rights reserved.

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