Crossover behavior in the avalanche process of the fiber bundle model in local load sharing

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

Physica A: Statistical Mechanics and its Applications, 2014, vol. 416, issue C, 135-141

Abstract: The crossover behavior near the catastrophic failure in the avalanche process of fiber bundle model in local load sharing condition is numerically investigated by dividing the tensile stretching process into several segments. In every segment of the tensile process, the fracture parameters, such as the number of fracture fibers, the energy emission, the avalanche size and its distribution, are calculated respectively. The results illustrate that the evolution of the fracture process from the initial tensile stage to the final fracture can be well described by a power law relationship or a simple quadratic polynomial. In the vicinity of the catastrophic failure, the avalanche size distribution appear crossover behavior with two different power law exponents, which provides a possible route for theoretically predicting the catastrophic fracture of materials.

Keywords: Fiber bundle model; Break dynamic; Avalanche process; Crossover behavior (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:416:y:2014:i:c:p:135-141

DOI: 10.1016/j.physa.2014.08.053

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