TY - JOUR
T1 - Avalanche distribution of fiber bundle model with random displacement
AU - Yamada, Yuhei
AU - Yamazaki, Yoshihiro
N1 - Funding Information:
We are grateful to Dr. Shousuke Ohmori and Dr. Ken Yamamoto for fruitful discussions, and Professor Ferenc Kun for helpful advice. This work was partially supported by the Waseda Research Institute for Science and Engineering, Grant-in-Aid for Young Scientists (Early Bird program).
Publisher Copyright:
©2019 The Physical Society of Japan
PY - 2019
Y1 - 2019
N2 - A modified fiber bundle model is proposed by introducing random displacement of fibers, which can be regarded as a simple model of random fibrous materials. All fibers in this model have the same equilibrium length l0 as a controlling parameter. The model includes randomness through configuration of the fibers. This point is different from the standard fiber bundle model, where randomness enters through the strength threshold of fibers. We find that the modified model exhibits two different power laws for the frequency distribution of avalanche size, depending on l0. Characteristic behaviors of the modified model are discussed.
AB - A modified fiber bundle model is proposed by introducing random displacement of fibers, which can be regarded as a simple model of random fibrous materials. All fibers in this model have the same equilibrium length l0 as a controlling parameter. The model includes randomness through configuration of the fibers. This point is different from the standard fiber bundle model, where randomness enters through the strength threshold of fibers. We find that the modified model exhibits two different power laws for the frequency distribution of avalanche size, depending on l0. Characteristic behaviors of the modified model are discussed.
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U2 - 10.7566/JPSJ.88.023002
DO - 10.7566/JPSJ.88.023002
M3 - Article
AN - SCOPUS:85060547190
VL - 88
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 2
M1 - 023002-1
ER -