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Predicting tearing paths in thin sheets
A Ibarra1, J F Fuentealba1, B Roman2
1Departamento de Física Universidad de Santiago de Chile, Avenida Ecuador 3493, 9170124 Estación Central, Santiago, Chile.
Physical Review. E
|October 3, 2019
Summary
This study examines how thin sheets tear when pulled. In anisotropic materials, the crack path deviates from the predicted tearing vector to minimize fracture energy, a finding supported by a new differential equation.
Area of Science:
- Materials Science
- Solid Mechanics
- Fracture Mechanics
Background:
- Investigates crack propagation in thin notched sheets under tension.
- Reviews concepts governing crack trajectory in anisotropic materials.
Purpose of the Study:
- To analyze the tearing behavior of anisotropic materials.
- To develop a model for predicting crack trajectory under tension.
Main Methods:
- Defined a geometric "tearing vector" for crack tip and pulling points.
- Applied Griffiths's criterion and maximum energy release rate (MERR).
- Derived a differential equation for crack trajectory in weakly anisotropic cases.
Main Results:
- In isotropic cases, fracture path aligns with the tearing vector.
- In anisotropic cases, MERR predicts deviation from the tearing vector.
- The derived differential equation accurately predicts crack trajectory in weak anisotropy.
Conclusions:
- Crack path in anisotropic materials is influenced by energy minimization.
- The new model provides accurate predictions for tearing trajectories.
- Findings align with existing experimental observations in fracture mechanics.
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