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Fracture process of composite material in a spring network model

2023/12/19 by Haruka Noguchi, Noguchi, Haruka, Satoshi Yukawa +1
Engineering · Environmental Science · Materials Science · #FOS: Physical sciences #Landslides and related hazards #Sports Dynamics and Biomechanics #Statistical Mechanics (cond-mat.stat-mech) #Textile materials and evaluations

paper · pdf · doi:10.48550/arxiv.2312.11798

openalex publication_date 2023/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze a two-dimensional spring network model comprising breakable and unbreakable springs. Computer simulations showed this system to exhibit intermittent stress drops in a larger strain regime, and these stress drops resulted in ductile-like behavior. The scaling analysis reveals that the avalanche size distribution demonstrates a cut-off, depending on its internal structure. This study also investigates the relationship between cluster growth and stress drop, and we show that the amount of stress drop increases in terms of power law, corresponding to crack growth. The crack length distribution also demonstrates a cut-off depending on its internal structure. The results show that both the cluster growth-stress drop relationship and the crack size distribution are scaled by the quantity related to the internal structure, and the relevance of the exponent that scales the cluster growth-stress drop relationship to the exponent that scales crack size distribution is verified.

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