• Theoretical models of plastic deformation and fracture mechanisms in nanocrystalline, nanotwinned, nanocomposite and ultrafine-grained materials
• Theoretical models of misfit stresses and mechanisms of their relaxation in nanoheterostructures - composite nanoparticles, nanowires and nanolayers
• Elastic models of defects in nanoscale, nanoporous and nanocomposite bodies
• Theoretical models of mechanisms of plastic deformation and fracture in bulk nanocomposites "metal-graphene" and "ceramics-graphene"
• Theoretical models of nucleation and evolution of dislocation structures in growing heteroepitaxial films and bulk crystals of wide-gap semiconductors - silicon carbide, gallium nitride, and aluminum nitride
• Theoretical models of the mechanisms of plastic deformation and destruction in a natural hierarchical composite - dentin of human teeth

Cooperative motion of lattice and grain-boundary dislocations

Multiple cracking in a layered metal-graphene nanocomposite

Generation of dislocations at core edges in a composite nanowire

Formation of low-angle tilt boundaries in AlN layers on a SiC substrate

A row of misfit dislocation loops in a composite nanowire

Development of a transverse shear crack in dentin