“…In this case, a large fraction of atoms is found at a location other than their normal position in the crystal lattice; the volume fraction of grain bound aries, near boundary volumes, and triple junctions increases as the subgrain size decreases [16]. For example, according to Mughrabi's composite model [17], the Young modulus can be decreased by increas ing the volume fraction of intergranular space, includ ing grain boundaries and triple junctions, the mechan ical properties of which are different from those of a grain body. In addition, a decrease in grain sizes increases the proportion of the free volume within the grain boundaries, near boundary regions, and triple junctions, which is accompanied by a weakening of the atomic bonds in the material.…”