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09:12
A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
Published on: June 28, 2015
Weakly nonlinear theory of dynamic fracture
Eran Bouchbinder1, Ariel Livne, Jay Fineberg
1Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Physical Review Letters
|May 14, 2009
Summary
This study introduces a new weakly nonlinear fracture mechanics theory that improves crack tip analysis beyond linear elastic fracture mechanics. It accurately describes high-strain behavior and near-tip measurements.
Area of Science:
- Solid Mechanics
- Materials Science
- Fracture Mechanics
Background:
- Linear elastic fracture mechanics (LEFM) assumes infinitesimal strains.
- LEFM predicts a r(-1/2) strain divergence at crack tips.
- LEFM fails to describe high-strain crack tip behavior.
Purpose of the Study:
- To extend LEFM by incorporating nonlinear elastic corrections.
- To develop a weakly nonlinear fracture mechanics theory.
- To accurately model crack dynamics at high strains.
Main Methods:
- Derivation of a weakly nonlinear fracture mechanics theory.
- Incorporation of leading nonlinear elastic corrections.
- Analysis of strain divergence and crack tip opening displacement.
Main Results:
- Strain contributions more divergent than r(-1/2) at finite distances.
- Logarithmic corrections to parabolic crack tip opening displacement.
- Emergence of a dynamic length scale associated with the nonlinear zone.
Conclusions:
- The new theory agrees well with experimental measurements.
- Weakly nonlinear fracture mechanics is essential for high-strain crack tip analysis.
- The developed framework surpasses LEFM in describing complex crack behaviors.
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