Effect of large elastic strains on cavitation instability predictions for elastic-plastic solids

Authors
Citation
V. Tvergaard, Effect of large elastic strains on cavitation instability predictions for elastic-plastic solids, INT J SOL S, 36(35), 1999, pp. 5453-5466
Citations number
29
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
ISSN journal
00207683 → ACNP
Volume
36
Issue
35
Year of publication
1999
Pages
5453 - 5466
Database
ISI
SICI code
0020-7683(199912)36:35<5453:EOLESO>2.0.ZU;2-O
Abstract
For an infinite solid containing a void, the cavitation instability limit i s defined as the remote stress-and strain state, at which the void grows wi thout bound, driven by the elastic energy stored in the surrounding materia l. Such cavitation limits have been analysed by a number of authors for met al plasticity as well as for nonlinear elastic solids. The analyses for ela stic-plastic solids are here extended to consider the effect of a large ini tial yield strain, and it is shown how the critical stress value decays for increasing value of the yield strain. Analyses are carried out for remote hydrostatic tension as well as for more general axisymmetric remote stress field, with an initially spherical void. Different levels of strain hardeni ng are considered. (C) 1998 Elsevier Science Ltd. All rights reserved.