  This work proposes an investigation on the scaling of the structural strength
of polymer/graphene nanocomposites. To this end, fracture tests on
geometrically scaled Single Edge Notch Bending (SENB) specimens with varying
contents of graphene were conducted to study the effects of nanomodification on
the scaling.
  It is shown that, while the strength of the pristine polymer scales according
to Linear Elastic Fracture Mechanics (LEFM), this is not the case for
nanocomposites, even for very low graphene contents. In fact, small specimens
exhibited a more pronounced ductility with limited scaling and a significant
deviation from LEFM whereas larger specimens behaved in a more brittle way,
with scaling of nominal strength closer to the one predicted by LEFM.
  This behavior, due to the significant size of the Fracture Process Zone (FPZ)
compared to the specimen size, needs to be taken into serious consideration. In
facts, it is shown that, for the specimen sizes investigated in this work,
neglecting the non-linear effects of the FPZ can lead to an underestimation of
the fracture energy as high as 113%, this error decreasing for increasing
specimen sizes.
