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Pattern formation and selection in quasistatic fracture.

K Leung¹, Z Néda

¹Institute of Physics, Academia Sinica, Taipei, Taiwan 11529, Republic of China. leungkt@phys.sinica.edu.tw

Physical Review Letters

|September 16, 2000

Summary

This study models quasistatically driven fracture using a spring-block system, revealing cellular crack patterns. The research explains fragment size selection and scaling, aligning with desiccation experiment observations.

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Area of Science:

Physics
Materials Science
Geophysics

Background:

Fracture in quasistatically driven systems is a complex phenomenon.
Understanding crack formation mechanisms is crucial for various scientific fields.
Desiccation experiments provide valuable insights into fracture patterns.

Purpose of the Study:

To investigate fracture in quasistatically driven systems using a discrete spring-block model.
To describe crack formation induced by friction on a substrate.
To explain the selection of stationary fragment size and scaling behavior.

Main Methods:

Utilizing a discrete spring-block model.
Comparing model results with desiccation experiments.
Performing simulations to confirm derived scaling behavior.

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Main Results:

The model generates cellular, hierarchical crack patterns.
Mean fragment size shows a linear relationship with layer thickness, matching experimental data.
A scaling behavior related to thickness and substrate coupling was identified and confirmed.

Conclusions:

The discrete spring-block model successfully replicates experimental fracture patterns.
Correlations prior to cracking explain the selection of a stationary fragment size.
The observed scaling behavior accounts for morphological similarities across different scales.