In order to predict the strength of two-phase rocks in terms of the co
mponent volume fraction, the aspect ratio of the strong phase and the
strength contrast between the strong and weak phases, a simple model i
s developed according to a fiber-loading theory modified for short-fib
er composites. The analytical solution derived from elastic theory is
found to hold, in good approximation, for rocks consisting of power-la
w viscous minerals. There is a good agreement between the predicted re
sults and the experiments for two-phase aggregates: anhydrite-halite,
calcite-halite, Fe-Ag and clinopyroxene-plagioclase. The model is comp
ared with several previous different models.