Necking bifurcations during high strain rate extension
- 30 September 1999
- journal article
- Published by Elsevier BV in Journal of the Mechanics and Physics of Solids
- Vol. 47 (11), 2209-2233
- https://doi.org/10.1016/s0022-5096(99)00031-9
Abstract
Dynamic necking bifurcations which occur during rapid plane strain extension of a block of strain hardening plastic material are investigated. The block is presumed to be a portion of a plate or thin-walled shell deforming at high strain rate. It is found that the rates of growth of both very long and very short wavelength modes of nonuniform deformation are suppressed by inertia, thus promoting a necking pattern at an intermediate wavelength. The analysis indicates that, for blocks of small aspect ratio, the number of necks formed per unit length is proportional to the square root of the mean extensional strain rate of the block. The results of the analysis agree with necking patterns observed in high velocity ring expansion experiments and in detailed numerical simulations.Keywords
This publication has 8 references indexed in Scilit:
- Increased ductility in high velocity electromagnetic ring expansionMetallurgical and Materials Transactions A, 1996
- Fragmentation of metal rings by electromagnetic loadingExperimental Mechanics, 1983
- Dynamic pre-strain and inertia effects on the fracture of metalsJournal of the Mechanics and Physics of Solids, 1980
- Surface instabilities on statically strained plastic solidsInternational Journal of Mechanical Sciences, 1980
- Influence of strain-rate sensitivity on necking under uniaxial tensionActa Metallurgica, 1977
- Localized necking in thin sheetsJournal of the Mechanics and Physics of Solids, 1975
- Bifurcation phenomena in the plane tension testJournal of the Mechanics and Physics of Solids, 1975
- A unit for testing materials at high strain ratesExperimental Mechanics, 1965