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Related Experiment Video

Updated: Jun 14, 2026

Cutting Procedures, Tensile Testing, and Ageing of Flexible Unidirectional Composite Laminates

Cutting Procedures, Tensile Testing, and Ageing of Flexible Unidirectional Composite Laminates

Published on: April 27, 2019

Avalanche dynamics of fiber bundle models.

R C Hidalgo¹, F Kun, K Kovács

¹AMADE, Departament de Física, Universitat de Girona, 17071 Girona, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 7, 2010

Summary

This study analyzes avalanche distributions in the continuous damage fiber bundle model (CDFBM). We found unique avalanche exponents characterizing mechanical behaviors, offering a unified view of fiber bundle model avalanche statistics.

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Area of Science:

Materials Science
Statistical Physics
Solid Mechanics

Background:

Fiber bundle models (FBMs) are crucial for understanding material failure.
Continuous damage fiber bundle models (CDFBMs) offer a more realistic approach to material degradation.
Avalanche phenomena are key indicators of complex failure dynamics in disordered systems.

Purpose of the Study:

To conduct a detailed analytical and numerical investigation of avalanche distributions in the CDFBM.
To characterize the mechanical behaviors, including hardening and plastic responses, within the CDFBM framework.
To derive the phase diagram for a family of CDFBMs and explore their avalanche size distributions.

Main Methods:

Analytical derivations to understand model behavior.
Numerical simulations to study avalanche distributions.
Analysis of macroscopic hardening and plastic responses.
Derivation of the phase diagram for CDFBMs.

Main Results:

The CDFBM reproduces a wide range of mechanical behaviors.
Macroscopic hardening and plastic responses are linked to avalanche distributions.
Avalanche distributions exhibit algebraic decay with exponents between 5/2 and 2.
Exponents differ from those found in mean-field fiber bundle models.
A phase diagram was derived, encompassing diverse avalanche size distributions.

Conclusions:

The CDFBM provides a comprehensive framework for studying material failure.
The findings offer a unified perspective on the statistics of breaking avalanches in FBMs.
The study highlights the distinct nature of avalanche behavior in continuous damage models compared to mean-field approaches.