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Scaling law in avalanche breaking of composite materials

Ahmed Hader (Laboratory Bio-Geosciences and Materials Engineering (LBGIM), Ecole Normale Supérieure, Hassan II University of Casablanca, Casablanca, Morocco) (CRMEF Casablanca-Settat, Settat, Morocco)
Hicham Sbiaai (Laboratory Bio-Geosciences and Materials Engineering (LBGIM), Ecole Normale Supérieure, Hassan II University of Casablanca, Casablanca, Morocco)
Mohammed Tanasehte (Laboratory Bio-Geosciences and Materials Engineering (LBGIM), Ecole Normale Supérieure, Hassan II University of Casablanca, Casablanca, Morocco)
Layla Amallah (Laboratory Bio-Geosciences and Materials Engineering (LBGIM), Ecole Normale Supérieure, Hassan II University of Casablanca, Casablanca, Morocco)
Yahia Boughaleb (Laboratory Bio-Geosciences and Materials Engineering (LBGIM), Ecole Normale Supérieure, Hassan II University of Casablanca, Casablanca, Morocco) (Laboratory of Physics of Condensed Matter (LPMC), Faculty of Science, Chouaib Doukkali University, El Jadida, Morocco)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 28 July 2020

Issue publication date: 4 February 2021

43

Abstract

Purpose

The fibers are loaded by the cosine component of the external load, when a fiber fails, and due to the local load-sharing nature, its force is shared by surviving neighboring fibers. The results show that the system presents a greater resistance and toughness toward the applied load compared to the classical one.

Design/methodology/approach

In this paper, the authors adopt the dynamics of a local load-sharing fiber bundle model in two dimensions under an external load to study scaling law in failure process of composite materials with randomly oriented fibers. The model is based on the fiber bundle model where the fibers are randomly oriented. The system is different to the classical one where the fibers are arranged in parallel with the applied load direction.

Findings

The evolution time of the fraction of broken fiber is described by an exponential law with two characteristic times. The latter decrease linearly and exponentially respectively with both applied load and temperature.

Originality/value

Scaling behavior of the broken fiber numbers with the size system shows that the system exhibits a scaling law of Family–Vicsek model with universal exponents.

Keywords

Citation

Hader, A., Sbiaai, H., Tanasehte, M., Amallah, L. and Boughaleb, Y. (2021), "Scaling law in avalanche breaking of composite materials", Multidiscipline Modeling in Materials and Structures, Vol. 17 No. 2, pp. 391-400. https://doi.org/10.1108/MMMS-05-2020-0111

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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