On cavitation and degenerate cavitation under internal hydrostatic pressure

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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

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Keywords

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

ASJC Scopus subject areas

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

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