Velocity of the Crack Propagation Sample Clauses

Velocity of the Crack Propagation. According to linear elastic fracture mechanics (LEFM) for semi-infinite crack model [63] where a linear relation is adopted between the stress and strain, the velocity of the crack under loading G is given by : v = cR 1 − (3.5) Γ(v) G In the above equation, cR is the Rayleigh wave speed, equal to the velocity of acoustic surface waves, Γ(v) the velocity-dependent fracture energy which is approximately equal to the Griffifth’s critical loading Gc at low speed crack regime, and G is the strain energy release rate defined as before [13]. There is a discrepancy between this theoretical prediction and experimental measure- ments. For instance, typically from Eq.3.5, the maximum velocity is the Rayleigh wave speed cR while the maximum velocity observed in experiment is usually less than the Rayleigh wave speed, about ∼ (20% − 80%)cR [64]. The explanation for this discrepancy lies in the crack instability above some critical velocity [65]. Models that additionally consider the phonon dissipation energy in the crack propagation improved their agree- ment [66].
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