Curvature solitons as generalized structural wave carriers of plastic deformation and fracture

A nonlinear wave approach to the description of a deformable solid as a multiscale hierarchically organized system was developed. It is shown that all types of strain-induced defects can be represented as curvature solitons of crystal structure-generalized structural wave carriers of plastic deformation and fracture of solids. The scale of a curvature soliton defines the type of a strain-induced defect. The waves of curvature solitons can be dispersed. A curvature soliton generates a crack if the Gibbs thermodynamic potential in a local curvature zone is positive and the material undergoes structural phase decay.