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.
Hidalgo
R C
RC
AMADE, Departament de Física, Universitat de Girona, 17071 Girona, Spain.
Kun
F
F
Kovács
K
K
Pagonabarraga
I
I
D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D049329:Nanostructures / Q000737:chemistry*