Pilipenko D, Spatschek R, Brener E A, Müller-Krumbhaar H
Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany.
Phys Rev Lett. 2007 Jan 5;98(1):015503. doi: 10.1103/PhysRevLett.98.015503.
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.
讨论了作为相变过程的裂纹扩展的尖锐界面模型。我们开发了一种多极展开技术来数值求解这个自由边界问题。如果考虑弹性动力学效应，我们可以得到具有自洽选择的裂纹扩展速度和形状的稳态解。此外，我们发现稳态裂纹速度在瑞利速度以下会饱和，随着驱动力增加裂纹尖端会钝化，并且在临界驱动力以上会出现尖端分裂不稳定性。
