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Time dependence of breakdown in a global fiber-bundle model with continuous damage

2001/03/16 by L. Moral, Yamir Moreno, Y. Moreno +3
Physics and Astronomy · #Lightning and Electromagnetic Phenomena #Nonlinear Photonic Systems #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.63.066106

published as Physical Review E, 63 (06), 6106 (2001)(art.no.066106). · APS style, two columns, 4 figures. To appear in Phys. Rev. E

arxiv created 2001/03/16 · openalex publication_date 2001/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A time-dependent global fiber-bundle model of fracture with continuous damage is formulated in terms of a set of coupled nonlinear differential equations. A first integral of this set is analytically obtained. The time evolution of the system is studied by applying a discrete probabilistic method. Several results are discussed emphasizing their differences with the standard time-dependent model. The results obtained show that with this simple model a variety of experimental observations can be qualitatively reproduced.

Citations