E. Sharon et J. Fineberg, UNIVERSAL FEATURES OF THE MICROBRANCHING INSTABILITY IN DYNAMIC FRACTURE, Philosophical magazine. B. Physics of condensed matter.Statistical mechanics, electronic, optical and magnetic, 78(2), 1998, pp. 243-251
We investigate the universality of the microbranching instability, by
comparison between the characteristics of a mode I dynamic crack, in b
oth poly(methyl methacrylate) (PMMA) and soda-lime glass. We demonstra
te the existence of the instability in glass, and the similarities of
its features in both PMMA and glass. In glass, as in PMMA, there is a
well defined threshold for the appearance of microbranches. This thres
hold is higher in glass (0.44C(R)) than in PMMA (0.36C(R)). In both m
aterials, the mean branch length increases linearly with increasing me
an velocity of the crack and the branch profile is identical. In both
materials the branches are the cause for the observed roughness of the
fracture surface where, in glass, surface roughening is accompanied b
y fragmentation. Finally, a similar three-dimensional-to-two-dimension
al transition occurs in both materials at high crack velocities.