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Pilipenko D, Spatschek R, Brener EA, et al. Crack propagation as a free boundary problem. Phys Rev Lett. 2007;98(1):015503doi: 10.1103/PhysRevLett.98.015503.
Pilipenko, D., Spatschek, R., Brener, E. A., & Müller-Krumbhaar, H. (2007). Crack propagation as a free boundary problem. Physical review letters, 98(1), 015503. https://doi.org/10.1103/PhysRevLett.98.015503
Pilipenko, D, et al. "Crack propagation as a free boundary problem." Physical review letters vol. 98,1 (2007): 015503. doi: https://doi.org/10.1103/PhysRevLett.98.015503
Pilipenko D, Spatschek R, Brener EA, Müller-Krumbhaar H. Crack propagation as a free boundary problem. Phys Rev Lett. 2007 Jan 05;98(1):015503. doi: 10.1103/PhysRevLett.98.015503. Epub 2007 Jan 05. PMID: 17358486.
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Phys Rev Lett. 2007 Jan 05;98(1):015503. doi: 10.1103/PhysRevLett.98.015503. Epub 2007 Jan 05.

Crack propagation as a free boundary problem.

Physical review letters

D Pilipenko, R Spatschek, E A Brener, H Müller-Krumbhaar

Affiliations

  1. Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany.

PMID: 17358486 DOI: 10.1103/PhysRevLett.98.015503

Abstract

A sharp interface model of crack propagation as a phase transition process is discussed. We develop a multipole expansion technique to solve this free boundary problem numerically. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic effects are taken into account. Also, we find a saturation of the steady state crack velocity below the Rayleigh speed, tip blunting with increasing driving force, and a tip splitting instability above a critical driving force.

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