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

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

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title = "On cavitation and degenerate cavitation under internal hydrostatic pressure",
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.",
keywords = "Calculus of variations, Cavitation, Degenerate cavitation, Nonlinear elasticity",
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AB - 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.

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KW - Cavitation

KW - Degenerate cavitation

KW - Nonlinear elasticity

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JO - Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences

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