title: Avalanche process of the fiber-bundle model with stick-slip dynamics and a variable Young modulus.
abstract: In order to more accurately describe the fracture process of extensive biological fibers, a fiber-bundle model with stick-slip dynamics and a variable Young modulus is constructed. In this model, the Young modulus of a fiber is assumed to increase or decrease by multiplying with a changing ratio after local sliding events. So, the maximum number of stick-slip events of a single fiber and the changing ratio of the Young modulus are the two key parameters of the model. By means of analytical theory and numerical simulation, the constitutive law, the critical stress, the average size of the largest avalanche, and the avalanche size distribution are shown against the two parameters of the model. From a macroscopic viewpoint, the constitutive curves show different morphologies varying from a local plastic state to a unimodal parabola, while from a microscopic viewpoint, the avalanche size distributions can be well fitted into a power law relationship, which is in accord with the classical fiber-bundle model.
authors.affiliation: Department of Physics, China University of Mining and Technology, Xuzhou 221116, People's Republic of China. hdpcumt@126.com
authors.forename: Da-Peng
authors.initials: DP
authors.lastname: Hao
authors.forename: Gang
authors.initials: G
authors.lastname: Tang
authors.forename: Hui
authors.initials: H
authors.lastname: Xia
authors.forename: Zhi-Peng
authors.initials: ZP
authors.lastname: Xun
authors.forename: Kui
authors.initials: K
authors.lastname: Han
mesh_terms: D001696:Biomechanical Phenomena; D055119:Elastic Modulus; D008954:Models, Biological