The dynamic growth of a single void in a viscoplastic material under transient hydrostatic loading

Xiaoyi Wu, K. T. Ramesh, T. W. Wright

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

We have examined the problem of the dynamic growth of a single spherical void in an elastic-viscoplastic medium, with a view towards addressing a number of problems that arise during the dynamic failure of metals. Particular attention is paid to inertial, thermal and rate-dependent effects, which have not previously been thoroughly studied in a combined setting. It is shown that the critical stress for unstable growth of the void in the quasistatic case is strongly affected by the thermal softening of the material (in adiabatic calculations). Thermal softening has the effect of lowering the critical stress, and has a stronger influence at high strain hardening exponents. It is shown that the thermally diffusive case for quasistatic void growth in rate-dependent materials is strongly affected by the initial void size, because of the length scale introduced by the thermal diffusion. The effects of inertia are quantified, and it is demonstrated that inertial effects are small in the early stages of void growth and are strongly dependent on the initial size of the void and the rate of loading. Under supercritical loading for the inertial problem, voids of all sizes achieve a constant absolute void growth rate in the long term. Inertia first impedes, but finally promotes dynamic void growth under a subcritical loading. For dynamic void growth, the effect of rate-hardening is to reduce the rate of void growth in comparison to the rate-independent case, and to reduce the final relative void growth achieved.

Original languageEnglish (US)
Pages (from-to)1-26
Number of pages26
JournalJournal of the Mechanics and Physics of Solids
Volume51
Issue number1
DOIs
StatePublished - Jan 2003
Externally publishedYes

Fingerprint

hydrostatics
voids
critical loading
inertia
softening
Thermal diffusion
Strain hardening
Hardening
strain hardening
thermal diffusion
hardening
Metals
exponents
Hot Temperature

Keywords

  • A. Dynamic fracture
  • B. Viscoplastic materials
  • Dynamics
  • Shock waves
  • Voids and inclusions

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

The dynamic growth of a single void in a viscoplastic material under transient hydrostatic loading. / Wu, Xiaoyi; Ramesh, K. T.; Wright, T. W.

In: Journal of the Mechanics and Physics of Solids, Vol. 51, No. 1, 01.2003, p. 1-26.

Research output: Contribution to journalArticle

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