On cavitation and degenerate cavitation under internal hydrostatic pressure

J. Sivaloganathan

doi:10.1098/rspa.1999.0470

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 language	English
Pages (from-to)	3645-3664
Number of pages	20
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	455
Issue number	1990
DOIs	https://doi.org/10.1098/rspa.1999.0470
Publication status	Published - 8 Oct 1999

Keywords

Calculus of variations
Cavitation
Degenerate cavitation
Nonlinear elasticity

ASJC Scopus subject areas

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

Access to Document

10.1098/rspa.1999.0470

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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.",

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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.

KW - Calculus of variations

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KW - Degenerate cavitation

KW - Nonlinear elasticity

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M3 - Article

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

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