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Published on: June 28, 2015
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Dual Role for Heterogeneity in Dynamic Fracture
Itamar Kolvin1, Mokhtar Adda-Bedia2
1Georgia Institute of Technology, School of Physics, 837 State Street NW, Atlanta, Georgia 30332, USA.
Physical Review Letters
|September 22, 2025
Summary
Heterogeneous dynamic fracture is modeled using spatiotemporal perturbations. Nonlinear interactions amplify dissipation, reducing crack speed when velocity dependence is weak, but strong dependence may facilitate fracture.
Area of Science:
- Physics
- Materials Science
- Solid Mechanics
Background:
- Dynamic fracture mechanics studies crack propagation under high strain rates.
- Material heterogeneity significantly influences fracture behavior.
- Understanding crack front dynamics is crucial for predicting material failure.
Purpose of the Study:
- To investigate the effects of spatiotemporal perturbations on planar crack fronts in heterogeneous materials.
- To derive an accurate equation of motion for crack fronts considering energy balance.
- To analyze the influence of varying dissipation-velocity relationships on fracture dynamics.
Main Methods:
- Analytical modeling using perturbation series for elastic energy release rate (G).
- Derivation of a second-order accurate equation of motion for crack fronts.
- Analysis of nonlinear interactions between crack front fluctuations and material heterogeneity.
Main Results:
- Linear order analysis shows heterogeneity does not alter the net fracture speed.
- Second-order analysis reveals nonlinear interactions populate an intermediate-scale fluctuation spectrum.
- Weak velocity dependence of dissipation leads to amplified dissipation and reduced crack speed due to nonlinearities.
Conclusions:
- Nonlinear effects in heterogeneous dynamic fracture can significantly alter energy dissipation.
- The relationship between dissipation and crack velocity is critical in determining fracture behavior.
- Strong velocity dependence of dissipation can mitigate toughening effects and potentially promote fracture propagation.
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