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We investigate the dynamical effects of dark matter subhalos on the structureand evolution of a galactic disk, using semi-analytic method that includesapproximated and empirical relations as achieved in detailed numericalsimulations of the cold dark matter model. We calculate the upper limit for thesize of a galactic disk at a specific redshift $z$, based on the orbitalproperties of subhalos characterized by their pericentric distances from thecenter of a host halo. We find that this possibly largest size of a disk asdetermined by the smallest pericentric distances of subhalos shows thecharacteristic properties, which are basically in agreement with an observedgalactic disk at low and high $z$. Namely, it is found that a massive disk canhave a larger size than a less massive one, because of its stability againstthe destruction effect of subhalos. Also, with fixed mass, the size of agalactic disk at low $z$ can be larger than that at high $z$, reflecting theorbital evolution of subhalos with respect to a host halo. These resultssuggest that the presence and structure of a galactic disk may be dynamicallylimited by the interaction with dark matter substructures, especially at high$z$.

On the Size Evolution of a Galactic Disk in Hierarchical Merging of Cold Dark Matter Halos