Dynamic Line-Spring Model for Impact Response of a 3-D Surface Crack

Abstract

A dynamic line-spring model is proposed for the simplified analysis of impact response of a part-through surface crack in an elastic plate. Bending of the plate is considered based on Mindlin's theory. Stiffness of the dynamic line-spring is simply evaluated following the static model of Rice and Levy. The procedure for evaluating the dynamic stress-intensity factor K<Id> is developed. The response of a semielliptical surface crack in a plate subjected to impact loading at its ends is analysed by using the present model. It is found that K<Id> takes its maximum value at the deepest penetration point of the surface crack and the maximum value is much larger than that in the static case.