On cavitation and degenerate cavitation under internal hydrostatic pressure

J. Sivaloganathan

Research output: Contribution to journal › Article

10 Citations (Scopus)

Abstract

In this paper we present some interesting variants on the mathematical phenomenon of cavitation in nonlinear elasticity. The paper is motivated by experimental work of Gent & Tompkins on pressurized elastomers, the fundamental mathematical work of Ball on cavitation and an example of degenerate cavitation due to Sivaloganathan.

Original languageEnglish
Pages (from-to)3645-3664
Number of pages20
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume455
Issue number1990
DOIs
Publication statusPublished - 8 Oct 1999

Fingerprint

Hydrostatic Pressure
internal pressure
Cavitation
Hydrostatic pressure
cavitation flow
hydrostatic pressure
Internal
Nonlinear Elasticity
Elastomers
elastomers
balls
Elasticity
Ball
elastic properties

Keywords

  • Calculus of variations
  • Cavitation
  • Degenerate cavitation
  • Nonlinear elasticity

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

On cavitation and degenerate cavitation under internal hydrostatic pressure. / Sivaloganathan, J.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 455, No. 1990, 08.10.1999, p. 3645-3664.

Research output: Contribution to journal › Article

Sivaloganathan, J 1999, 'On cavitation and degenerate cavitation under internal hydrostatic pressure', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 455, no. 1990, pp. 3645-3664. https://doi.org/10.1098/rspa.1999.0470
Sivaloganathan J. On cavitation and degenerate cavitation under internal hydrostatic pressure. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1999 Oct 8;455(1990):3645-3664. https://doi.org/10.1098/rspa.1999.0470
Sivaloganathan, J. / On cavitation and degenerate cavitation under internal hydrostatic pressure. In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1999 ; Vol. 455, No. 1990. pp. 3645-3664.
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