1997年10月

# Instabilities of quasi-static crack patterns in quenched glass plates

PHYSICA D
• A Yuse
• ,
• M Sano

108
4

365

378

DOI
10.1016/S0167-2789(97)00011-0

ELSEVIER SCIENCE BV

We have produced controlled quasi-static crack propagation in thin glass plates to study crack instabilities. Quasi-static fractures can exhibit drastic changes in morphology when the control parameter is varied. The thermal stress and the velocity of the crack tip depend on the temperature difference between two heat reservoirs (Delta T) and the speed of descent of the sample (V). For large V and Delta T, cracks went from straight to oscillating and then to branched in a phase diagram for these three patterns. The transition from straight to oscillating is a super-critical Hopf bifurcation. Approaching the transition line from below in the phase diagram, the relaxation time of the damped oscillating crack scaled with Delta T and V. Above the transition line, amplitude of oscillations scaled with Delta T and V. The wavelength lambda of the crack oscillation was measured at the onset of oscillation. Introducing two non-dimensional parameters R and mu, we successfully compared the conditions for the onset of straight crack propagation and oscillation with theory and numerical simulation. Further above the onset of oscillation we observed period doubling.

Web of Science ® 被引用回数 : 41

リンク情報
DOI
https://doi.org/10.1016/S0167-2789(97)00011-0
CiNii Articles
http://ci.nii.ac.jp/naid/80009887629
Web of Science