At the tip of a cut in a thin rubber film being deformed at a constant rate of extension, we may reasonably assume that the type of deformation is essentially one of simple extension and the rate of strain there is
kγ times larger than that of the rest in the sample.
Assuming that the value of
kγ is little affected by the magnitude of strain, it is shown that the value of
kγ can be estimated by combining the experimental data obtained for the films with and without a cut at various rates of elongation.
The coefficient,
kγ thus estimated, appears generally to increase linearly with the cut length,
C in the form, k
γ-1=
mγcHere the constant,
mγ, is the stress concentration factor which is independent of the shape and size of the sample. This factor,
mγ, is found to be drastically reduced by the addition of suitable amount of active carbon black fillers. It is also found that
mγ depends on temperature in a manner characteristic of each material quality.
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