Spatschek Robert, Hartmann Miks, Brener Efim, Müller-Krumbhaar Heiner, Kassner Klaus
Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany.
Phys Rev Lett. 2006 Jan 13;96(1):015502. doi: 10.1103/PhysRevLett.96.015502. Epub 2006 Jan 5.
We present a continuum theory which predicts the steady state propagation of cracks. The theory overcomes the usual problem of a finite time cusp singularity of the Grinfeld instability by the inclusion of elastodynamic effects which restore selection of the steady state tip radius and velocity. We developed a phase-field model for elastically induced phase transitions; in the limit of small or vanishing elastic coefficients in the new phase, fracture can be studied. The simulations confirm analytical predictions for fast crack propagation.
我们提出了一种预测裂纹稳态扩展的连续介质理论。该理论通过纳入弹性动力学效应克服了格林费尔德不稳定性有限时间尖点奇异性的常见问题，这些效应恢复了稳态尖端半径和速度的选择。我们开发了一个用于弹性诱导相变的相场模型；在新相弹性系数较小或消失的极限情况下，可以研究断裂问题。模拟结果证实了快速裂纹扩展的分析预测。
