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Avalanche dynamics of fiber bundle models

We present a detailed analytical and numerical study of the avalanche distributions of the continuous damage fiber bundle model CDFBM . Linearly elastic fibers undergo a series of partial failure events which give rise to a gradual degradation of their stiffness. We show that the model reproduces a wide range of mechanical behaviors. We find that macroscopic hardening and plastic responses are characterized by avalanche distributions, which exhibit an algebraic decay with exponents between 5/2 and 2 different from those observed in mean-field fiber bundle models. We also derive analytically the phase diagram of a family of CDFBM which covers a large variety of potential avalanche size distributions. Our results provide a unified view of the statistics of breaking avalanches in fiber bundle models

© Physical Review E, 2009, vol. 80, núm. 5, p. 051108

American Physical Society

Autor: Cruz Hidalgo, Raúl
Kun, F.
Kovács, K.
Pagonabarraga Mora, Ignacio
Data: 2009
Resum: We present a detailed analytical and numerical study of the avalanche distributions of the continuous damage fiber bundle model CDFBM . Linearly elastic fibers undergo a series of partial failure events which give rise to a gradual degradation of their stiffness. We show that the model reproduces a wide range of mechanical behaviors. We find that macroscopic hardening and plastic responses are characterized by avalanche distributions, which exhibit an algebraic decay with exponents between 5/2 and 2 different from those observed in mean-field fiber bundle models. We also derive analytically the phase diagram of a family of CDFBM which covers a large variety of potential avalanche size distributions. Our results provide a unified view of the statistics of breaking avalanches in fiber bundle models
Format: application/pdf
ISSN: 1539-3755 (versió paper)
1550-2376 (versió electrònica)
Accés al document: http://hdl.handle.net/10256/7615
Llenguatge: eng
Editor: American Physical Society
Col·lecció: Reproducció digital del document publicat a: http://dx.doi.org/10.1103/PhysRevE.80.051108
Articles publicats (D-F)
És part de: © Physical Review E, 2009, vol. 80, núm. 5, p. 051108
Drets: Tots els drets reservats
Matèria: Mecànica de fractura
Fracture mechanics
Materials -- Fatiga
Materials -- Fatigue
Títol: Avalanche dynamics of fiber bundle models
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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