Modeling of dynamic fragmentation in brittle solids

Abstract

Several analytical and numerical models of dynamic fragmentation as well as some experimental data are reviewed in this paper. Among others, two of the models previously proposed by the authors of this work are also revisited. One of our models, which based on Fracture Mechanics, is further developed. It leads to a refined fragmentation model that unifies the Griffith and Grady approaches, i.e. at low strain rate it resembles the Griffith condition for brittle fracture, whereas the Grady type relationship obtained for fragmentation is recovered at extremely high strain rate. An important relationship between the two approaches, based one on Fracture Mechanics and another on energy balance is also established. Comparisons of the proposed model with other models and pertinent experimental data as well as with the available results of computer simulations are presented. The present model shows a good agreement with experimental data, when fragmentation propagation velocity is selected in a reasonable range.