Estimate of the number of fragments formed during the rapid radial expansion of a ring

TL;DR

This paper extends a 2D energy-based model to estimate the number of fragments formed during the rapid radial expansion of a ring, building on previous work on cylinders.

Contribution

It adapts a model originally for cylinders to rings, providing a new method to estimate fragment count in ring fragmentation scenarios.

Findings

The model successfully estimates the number of fragments in ring expansion.

The approach demonstrates good agreement with expected fragmentation patterns.

It offers a practical tool for analyzing ring fragmentation in dynamic conditions.

Abstract

In recent 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 an expanding ring.