Abstract :
In this paper new quantized failure criteria
are proposed, also for nanoscale applications.
The main theories in the context of the strength
of solids, i.e., of brittle fracture, dynamic fracture,
fatigue and Weibull Statistics are reconsidered
according to the proposed “quantization rules”.
The “corresponding principle” is verified and thus
the classical theories are found to be the limit cases
of the quantized counterparts. As an example, our
treatment is applied to very recent experimental
results on carbon or WS2 nanotubes and to futurist
ultra-nanocrystalline diamond nanowires, for
which the tensile, bending and ideal strength are
estimated.
