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Quenched disorder and instability control dynamic fracture in three dimensions
Yuri Lubomirsky1, Eran Bouchbinder2
1Chemical and Biological Physics Department, Weizmann Institute of Science, Rehovot, 7610001, Israel.
Nature Communications
|August 29, 2024
Summary
We investigated 3D brittle crack dynamics with disorder, finding crack velocity is limited and decreases with disorder strength. This reveals how material imperfections influence fracture patterns and energy dissipation.
Area of Science:
- Materials Science
- Physics
- Computational Mechanics
Background:
- 3D brittle crack dynamics present significant challenges in materials science.
- Understanding material failure is crucial for structural integrity and safety.
Purpose of the Study:
- To investigate the dynamics of 3D brittle cracks in materials with disordered fracture energy.
- To analyze the influence of disorder characteristics (correlation length R and strength σ) on crack propagation and velocity.
Main Methods:
- Utilized a phase-field approach to model 3D brittle crack dynamics.
- Incorporated Gaussian quenched disorder in the fracture energy to simulate material imperfections.
Main Results:
- Mean crack velocity (v) is bounded by a limiting velocity, lower than in homogeneous materials and decreasing with disorder strength (σ).
- Dynamic renormalization of fracture energy occurs with increasing driving force (G), influenced by 2D branching instability and disorder.
- Branching probability increases with G, leading to misty fracture surfaces and hackle-like structures, affecting fracture energy and velocity.
Conclusions:
- Disorder significantly impacts 3D brittle crack dynamics, limiting velocity and altering fracture surface morphology.
- The study provides insights into crack branching, energy dissipation, and the formation of complex fracture patterns consistent with experimental observations.
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