A unique method was advanced for estimating the strength of fibrillar sampl
es on the basis of the corresponding tensile force-elongation curves. This
method relies on the statistical analysis of the combined data of optical m
icroscopy and mechanical tests. As compared to the well-known "dry bundle"
method, the approach advanced to estimate strength does not require any dat
a on the elastic modulus of fibers. This approach allows one to calculate t
he strength of a polymer for porous-fibrillar samples composed of microfibe
rs with different diameters (1-20 mum) containing branching junctions rando
mly distributed in the sample at a distance of similar to0.1-2 mm and formi
ng a loosened network with elongated cells. This approach might appear to b
e useful for the estimation of the strength of monofilaments not only for c
ellular fibrillar materials hut also for systems with unbound fibers when,
for any reason, a direct estimation of the strength of monofilaments is imp
ossible.