The introduction of critical distance in the description of dynamic experiments based on simulation mesodefect evolution

Abstract

The Theory of Critical Distances is a group of phenomenological methods for fracture prediction of materials subjected different loading conditions with accounting effect of stress concentration features. When estimating strength of components under dynamic loading by directly postprocessing the elastoplastic stress fields acting on the material in the notch tip the critical distance is a material parameter. Based on research of physical processes taking place at a micro/mesoscopic level near the notch tip the physical meaning of the parameters of theory of critical distances was investigated. The modeling of solids with defects behavior based on self-similar solutions for stress and defect density fields in one- and three-dimensional cases was carried out. Established link between critical distance and fundamental length of dissipative structure growing in a blow-up regime.