- A theory of defects in elastic bodies has been developed, based on defects description with the help of their own (plastic) distortion. In particular, a classification of defects based on the dimension of their own distortion has been carried out and it has been shown how to obtain defects of higher dimension from defects of a smaller dimension
- New boundary-value problems of elasticity theory for defects (dislocations, disclinations and inclusions) in spherical, cylindrical and planar solids have been solved
- The first models of misfit defects nucleation in core-shell nanoparticles and nanowires have been developed. Conditions for the absence of misfit defects in such systems have been theoretically found
- A disclination approach to the description of graphene with a crystal lattice containing defects has been developed. The energies of equilibrium and nonequilibrium grain boundaries in graphene have been calculated. It has been shown how pseudographenes - new 2D carbon materials - can be assembled with the help of disclinations
- Mechanisms for significant hardening with simultaneous increase in ductility of UFG aluminum and Al-based alloys by changing the degree of equilibrium of grain boundaries during short-term annealing and subsequent small additional plastic deformation of the samples have been proposed
- The phenomenon of superhardness as well as the presence of direct and inverse Hall-Petch dependences in nanocrystalline MgAl2O4 ceramics has been theoretically explained
- A theoretical model explaining extremely high strength of aluminum alloys with magnesium segregations has been developed
- An explanation has been given for the rapid growth and subsequent slow dissolution of grain-boundary pores during annealing of an ultrafine-grained Al-Zr alloy
- Mechanisms for increasing crack resistance in nanocrystalline and ultrafine-grained materials have been theoretically revealed
- New ideas about the specific micromechanisms of plastic deformation in nanomaterials and nanocomposites "(nano)metal-graphene" and "(nano)metal-nanoceramics" have been developed
- A theory of plastic deformation by means of migration and rotation of grain boundaries in nanomaterials has been developed