Related Experiment Videos
Branching instabilities in rapid fracture: dynamics and geometry
Eran Bouchbinder1, Joachim Mathiesen, Itamar Procaccia
1Deptartment of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.
Summary
This study presents a theoretical model for crack branching instabilities in 2D fracture. The model predicts when and how cracks branch and their resulting geometry, aligning with experimental observations.
Area of Science:
- Solid Mechanics
- Fracture Mechanics
- Materials Science
Background:
- Crack branching is a complex phenomenon in fracture mechanics.
- Understanding the conditions and geometry of crack branching is crucial for material design and failure analysis.
- Existing models may not fully capture the dynamic aspects of crack propagation and branching.
Purpose of the Study:
- To develop a theoretical model for predicting branching instabilities in 2-dimensional fracture.
- To determine the conditions under which crack branching occurs.
- To describe the development and geometry of multiple crack branches.
Main Methods:
- Formulating equations of motion for crack tips based on time-dependent stress intensity factors.
- Utilizing an approximate relation between static and dynamic stress intensity factors.
- Performing an essentially exact calculation of static stress intensity factors.
Main Results:
- The proposed model offers predictions for the onset of crack branching.
- The model describes the development and geometric characteristics of multiple crack branches.
- The theoretical predictions show qualitative agreement with experimental data.
Conclusions:
- The developed theoretical model provides a framework for understanding 2D fracture branching.
- The model's predictions align with experimental observations, validating its approach.
- This work contributes to the fundamental understanding of fracture instabilities.