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RESEARCH PAPERS

Ductile Fracture of Rapidly Expanding Rings

[+] Author and Article Information
J. N. Johnson

Los Alamos National Laboratory, Los Alamos, N. Mex. 87545

J. Appl. Mech 50(3), 593-600 (Sep 01, 1983) (8 pages) doi:10.1115/1.3167096 History: Received August 01, 1982; Revised December 01, 1982; Online July 21, 2009

Abstract

Heterogeneous plastic deformation (necking) of thin ductile rings given an initial outward impulse is described in terms of the ordinary differential equations of thermoplasticity and the partial differential equations of mass and momentum conservation in one spatial dimension (circumference) and time. Flaws in cross-sectional area and porosity are introduced and the resulting plastic deformation is calculated numerically for a prescribed initial radial velocity. Plastic deformation is initially homogeneous but soon concentrates in the weakest region, which then thins rapidly and fractures. Effects of flaw wavelength, work-hardening rate, thermal softening, and rate-dependent plastic flow on the flaw growth rate are studied.

Copyright © 1983 by ASME
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