Fragmentation model of a rapidly expanding ring with arbitrary cross-section

TL;DR

This paper extends a 2D energy-based fragmentation model from cylinders to rings with arbitrary cross-sections, enabling estimation of fragment count in rapidly expanding rings.

Contribution

It adapts an existing model to rings with arbitrary cross-sections, broadening its applicability for fragmentation analysis.

Findings

Model successfully estimates fragment number in rings

Applicable to various cross-sectional shapes

Extends previous cylindrical fragmentation model

Abstract

In the paper (Goloveshkin and Myagkov 2014) we proposed a two-dimensional energy-based model of fragmentation of rapidly expanding cylinder under plane strain conditions. The model allowed one to estimate the average fragment length and the number of fragments produced by ductile fracture of the cylinder. In present note we show that the proposed approach can be used to estimate the number of fragments in a problem of fragmentation of a rapidly expanding ring with arbitrary cross-section.