Basic physical mesomechanics of plastic deformation and fracture of solids as hierarchically organized nonlinear systems
The paper presents basic propositions for multiscale description of a deformed solid as a hierarchically organized nonlinear system consisting of a 2D planar subsystem (surface layers and all internal interfaces) and 3D crystal subsystem. The 2D planar subsystem is a source of primary plastic flow which creates multiscale lattice curvature effects in the 3D crystal subsystem. These effects underlie the generation of all types of strain-induced defects in a solid at the interfaces of its 2D and 3D subsystems and the formation of bifurcational interstitial structural states responsible for vortical plastic distortion, curvature of nonlinear flows of mesoscale structural transformations, and nonlinear fracture as structural phase decomposition of the solid in supercritical curvature zones of its crystal structure. Basic aspects of the multiscale nonlinear theory are considered.