The quantum-mechanical approach was applied to the study of the structure, mechanical and deformation characteristics of nanostructured objects. Using the cluster approach, methods for calculating the microscopic origin of deformation and friction are developed. Within these approximations, carbon nanostructures were studied, namely, carbon nanotubes and graphene, as well as composites consisting of polymer matrix and fillers of different chemical nature. We calculated the parameters (shear strength, the interaction energy in the contact area, Young's modulus), which allow establishing the relationship between the effective deformation characteristics at the macro level and the parameters of the nanostructures.
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