Dynamic Crack Tip Equation of Motion: High-Speed Oscillatory Instability

Eran Bouchbinder
Phys. Rev. Lett. 103, 164301 – Published 16 October 2009
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Abstract

A dynamic crack tip equation of motion is proposed based on the autonomy of the near-tip nonlinear zone of scale nl, symmetry principles, causality, and scaling arguments. Causality implies that the asymptotic linear-elastic fields at time t are determined by the crack path at a retarded time tτd, where the delay time τd scales with the ratio of nl and the typical wave speed cnl within the nonlinear zone. The resulting equation is shown to agree with known results in the quasistatic regime. As a first application in the fully dynamic regime, an approximate analysis predicts a high-speed oscillatory instability whose characteristic scale is determined by nl. This prediction is corroborated by experimental results, demonstrating the emergence of crack tip inertialike effects.

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  • Received 10 August 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.164301

©2009 American Physical Society

Authors & Affiliations

Eran Bouchbinder

  • Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel

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Issue

Vol. 103, Iss. 16 — 16 October 2009

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