A Theoretical Analysis of Tube Fragmentation
Abstract
This paper develops a theoretical analysis to determine the force level attained in a cylindrical metal tube when the tube is fragmenting or splitting and rolling on a rigid die. The tube is treated as a thin, rigid-perfectly plastic cylindrical shell which fractures when a critical level of maximum strain is attained. The die has a semi-toroidal shape in order to expand the tube radially and to bend it meridianally, thus leading to fragmentation, i.e., fractures running in two perpendicular directions. It is shown that in the fragmentation regime the meridianally running cracks advance rapidly at first and then may become arrested. It is also shown that localized high bending strains develop and lead to transverse fracture. The energy absorbed during the process is evaluated through a numerical procedure which considers successive configurations of the deforming tube. The effect of contact friction on the energy absorbed is considered and found to be significant.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1966
- Accession Number
- ADA400683
Entities
People
- D. P. Updike
Organizations
- Brown University