Erratum to “Thermally induced quasi-static wavy crack propagation in a brittle solid” [Mech. Mater. 32 (2000) 531–542]

Global bifurcation criterion for oscillatory crack path instability

“…Numerous following theoretical and numerical analyses in the framework of continuum theory used a local bifurcation criterion by consideration of only one crack tip position: Marder ͓9͔,Ferney et al ͓6͔,Yang and Ravi-Chandar ͓11͔, and recently Bouchbinder et al ͓12͔. Sumi et al ͓13,14͔ tried to extend the examined crack path to an "intermediate" range. However, for the crack path prediction the near-tip stress fields were used, which restricts the validity range of the solution.…”

Recent progress on crack pattern formation in thin films

“…Therefore, the numerical method based on the total energy minimization principle is used to simulate the controlled crack propagation in glass plates. [96][97][98] However, most studies were either purely qualitative or were using unphysical parameters to manage to partially reproduce some of the characteristics of the observed phenomenon. Therefore, the theory and simulation method need to be further improved to unravel the mechanism of such oscillating crack pattern.…”

Observation and model of highly ordered wavy cracks due to coupling of in-plane stress and interface debonding in silica thin films

“…This report stimulated numerable theoretical, experimental, and numerical studies up to now. [5][6][7][8] It is found that the crack trajectory can be simulated and interpreted by using the phase-field model. 9 More recently, the similar oscillatory crack was observed when a rigid rod was forced through a thin polymer film and tears through the material as it advanced.…”