Avalanche dynamics in hierarchical fiber bundles

Area of Science:

• Materials Science
• Physics
• Mechanical Engineering

Background:

• Heterogeneous materials often exhibit hierarchical organization, repeating basic units across multiple scales.
• This self-similar pattern influences material properties, particularly failure strength and mechanical response.
• Hierarchical structures are prevalent in both biological and synthetic materials.

Purpose of the Study:

• To investigate the avalanche dynamics of a hierarchical fiber bundle model during system failure.
• To determine how hierarchical organization affects the failure strength of materials.
• To identify specific hierarchical arrangements that might enhance material resilience.

Main Methods:

• Utilized a fiber bundle model incorporating hierarchical structural organization.
• Analyzed the avalanche dynamics exhibited by the model as it approached failure.
• Compared the failure strength of hierarchical models with non-hierarchical reference structures.

Main Results:

• Generally, hierarchical structures were found to decrease the failure strength compared to non-hierarchical systems.
• A specific hierarchical arrangement was identified that significantly increased the failure threshold.
• Avalanche dynamics were observed to be characteristic of the hierarchical organization during failure progression.

Conclusions:

• Hierarchical organization in materials can be detrimental to failure strength.
• Optimized hierarchical designs offer potential for substantially improving material resilience.
• Understanding avalanche dynamics in hierarchical systems is crucial for predicting and enhancing material performance.