The effect of horizon size and projectile shape on the crack growth in the cracked beam using peridynamic method

One of the main problems in the classical methods for analyzing crack is a discontinuity in materials and specific conditions at the crack tip. Peridynamic theory , which has been introduced in recent years, could be used to improve the analysis of cracked structures. In this theory, the points of a body whose displacement or displacement derivatives are discontinuous are not distinguished from other material points. In this paper, using the bond-based peridynamic theory, the crack growth in a beam with initial crack under the impact load has been investigated. The governing equation is developed and solved using Peridynamic theory and the results are validated using other investigations. Two models for the initial crack definition and two projectile shapes have been considered and in addition the effect of some peridynamic parameters on the results has been studied. The results demonstrate the ability of the peridynamic theory to model the crack growth in the studied problems.