Some regularities of scaling in plasticity, fracture, and turbulence

Abstract

The paper considers scaling regularities in the deformation and failure of condensed matter (solids and liquids) as effects of a special type of critical phenomena—structural scaling transitions in mesodefect ensembles— and associated structural relaxation mechanisms. The scaling regularities in nonequilibrium processes of plasticity, failure, and turbulence are analyzed with the use of self-similar intermediate asymptotic solutions describing the collective behavior of mesodefects. The predicted role of defect modes in the self-similar response of condensed media is confirmed by original experiments on dynamic, fatigue, and shock loading over a wide range of load intensities.