The avalanche process of the fiber bundle model with defect in local loading sharing

Da-Peng Hao, Gang Tang, Zhi-Peng Xun, Hui Xia and Kui Han

Physica A: Statistical Mechanics and its Applications, 2018, vol. 505, issue C, 1095-1102

Abstract: The fiber bundle model with defect is an extended model based on the classical fiber bundle model to describe the impact of the defect size and the defect density on the failure process in actual materials with defect. In order to explore the dynamic properties of the breakdown of materials with defect in short-range correlation, the model in local load sharing condition is numerically studied in detail in both uniform and Weibull threshold distribution cases. The simulation results show that both the defect size and the defect density have diverse impacts on the macroscopic mechanical properties and the statistical nature. From macroscopic view, the model parameters mainly impact the macroscopic fracture stage of the stretch process, while the initial tensile stage of the constitutive curves are almost not affected by the defect size and defect density. In the microscopic scale, the avalanche size distributions have no universality and are significantly influenced by the defect size and defect density.

Keywords: Fiber bundle model; Break dynamic; Avalanche process; Defect (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:505:y:2018:i:c:p:1095-1102

DOI: 10.1016/j.physa.2018.04.042

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