a state in which the lateral interactions between two incommensurate surfaces are effectively canceled resulting in ultralow sliding friction. The ultralow friction state could also be achieved for tip with radius from 20 to 1000 nm sliding on graphene supported by substrates, e.g., diamond tip with graphene on SiO 2 substrate, [11,12] Si tip with graphene on SiO 2 substrate, [13] and diamond tip with graphene on Cu substrate [14] and the lubrication properties was robust under different normal load. [15] The ultralow friction and high intrinsic strength make graphene an ideal candidate for antiwear coating materials. On the nano and microlevel, Shin et al. [11] carried out microscale scratch tests on exfoliated and epitaxial graphene on a silica substrate. When the indenter was pressed into the monolayer graphene sample at a depth of more than 150 times of its thickness, no damage occurred within the graphene. Using atomic force microscope (AFM) tip with a radius about 100 nm sliding on graphene that mechanically exfoliated to SiO 2 substrates, Qi et al. [12] reported that the monolayer graphene still maintained a low friction coefficient of 0.01 for a prolonged period (4096 cycles) with a normal load up to 9150 nN, and the interior region of graphene shows better wear resistance. Qi et al. [16] further found that the wear resistance of the free edge of graphene could be improved by performing air plasma treatment. With a similar setup, Vasic et al. [17] showed that the SiO 2 substrate gets plastically deformed for lower normal loads, followed by a sudden Adhesion plays an important role in the antiwear property of graphene layer on a substrate. Here the wear property of the inner region of monolayer graphene grown on copper foils via chemical vapor deposition is studied. The adhesive strength is controlled by changing the oxidation of the copper substrate into two oxidation degrees with intact graphene preserved. For graphene layers on copper substrates with either low oxidation degree (LOD) or high oxidation degree (HOD), it is found in both systems wear starts at the wrinkle position under similar normal force. However, with the development of wear, for the LOD substrate the covering graphene layer is worn out gradually, while for the HOD substrate the graphene layer is peeled off rapidly. By measuring the adhesion between graphene and substrates indirectly, together with finite element analysis, it is shown that the underlying mechanism for the different wear phenomena is due to the higher adhesion between graphene and LOD substrates than that between graphene and HOD substrates. This study provides insights on the impacts of adhesion between monolayer material and substrates on the antiwear properties, which can benefit the design of lubrication coatings based on layered materials. Wear