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A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
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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.

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Summary
This summary is machine-generated.

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.

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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.