Crack Paths 2009
Indeed, we observe in experiments that z varies linearly with d (Fig.8) when 0.1
0.3. W ecould not investigate a wider range of masses because, whenm becomes too
large, a stick-slip-like phenomenonappears, such that crack propagation is not quasi
static anymore. The force intensity is obtained with a linear fit as
0.25 0.05 .
W ecompare this intensity with the minimal force necessary to propagate a crack in this
material, as given by the critical toughness . In the experiment, we observed that a
force is applied in the horizontal plane far from crack tip. The typical distance l between
the effective application point of this force and the crack tip is of the order of the
thickness. The necessary force to propagate the crack is given by
. For the
30 thickness film, we find
0.3 which coincides with the measured
value 0.25 within the experimental uncertainty.
δ
Figure 8. The height of the crack tip z as a function of the added mass m at the bottom
of the film, with
30 ,
2.6 and 4 .
C O N C L U S I O N
This experimental study suggests that an isotropic, homogeneous material locally breaks
in mode I, whatever the imposed mode (I, II or III) at a larger scale, because this
opening mode is the most efficient to separate two surfaces. However the large scale
configuration dictates the crack stability: we show that the crack is always stable under
our (large scale) modeIII loading whereas it can be unstable under modeI.
R E F E R E N C E S
1. Goldstein, R.V. and Sagalnik, R.L. (1974), Int. J. Fract. 10, 507.
2. Mai, Y.W.and Cotterell, B. (1984), Int. J. Fract. 24, 229-236.
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