We investigate rest-frame near-infrared (NIR) morphologies of a sample of 139 galaxies with M_{s} >= 1 x 10^{10} M_{sun} at z=0.8-1.2 in the GOODS-North field using our deep NIR imaging data (MOIRCS Deep Survey, MODS). We focus on Luminous Infrared Galaxies (LIRGs), which dominate high star formation rate (SFR) density at z~1, in the sample identified by cross-correlating with the Spitzer/MIPS 24um source catalog. We perform two-dimensional light profile fitting of the z~1 galaxies in the Ks-band (rest-frame J-band) with a single component Sersic model. We find that at z~1, ~90% of LIRGs have low Sersic indices (n<2.5, similar to disk-like galaxies) in the Ks-band, and those disk-like LIRGs consist of ~60% of the whole disk-like sample above M_{s} >= 3 x 10^{10} M_{sun}. The z~1 disk-like LIRGs are comparable or ~20% small at a maximum in size compared to local disk-like galaxies in the same stellar mass range. If we examine rest-frame UV-optical morphologies using the HST/ACS images, the rest-frame B-band sizes of the z~1 disk-like galaxies are comparable to those of the local disk-like galaxies as reported by previous studies on size evolution of disk-like galaxies in the rest-frame optical band. Measuring color gradients (galaxy sizes as a function of wavelength) of the z~1 and local disk-like galaxies, we find that the z~1 disk-like galaxies have 3-5 times steeper color gradient than the local ones. Our results indicate that (i) more than a half of relatively massive disk-like galaxies at z~1 are in violent star formation epochs observed as LIRGs, and also (ii) most of those LIRGs are constructing their fundamental disk structure vigorously. The high SFR density in the universe at z~1 may be dominated by such star formation in disk region in massive galaxies.
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