  The present paper describes a stochastic model of fracture, whose fragment
size distribution can be calculated analytically as a power-law-like
distribution. The model is basically cascade fracture, but incorporates the
effect that each fragment in each stage of cascade ceases fracture with a
certain probability. When the probability is constant, the exponent of the
power-law cumulative distribution lies between -1 and 0, depending not only on
the probability but the distribution of fracture points. Whereas, when the
probability depends on the size of a fragment, the exponent is less than -1,
irrespective of the distribution of fracture points.
