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On cavitation and degenerate cavitation under internal hydrostatic pressure

descriptionPublicationkeyboard_double_arrow_right Article 08 Oct 1999Publisher:The Royal SocietyJournal:Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, volume 455, pages 3,645-3,664 (issn: 1364-5021, eissn: 1471-2946,

Authors: Jeyabal Sivaloganathan; Jeyabal Sivaloganathan;

doi: 10.1098/rspa.1999.0470

On cavitation and degenerate cavitation under internal hydrostatic pressure

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Abstract

Summary: We present some variants of the mathematical phenomenon of cavitation in nonlinear elasticity. The paper is motivated by experimental work on pressurized elastomers, the fundamental mathematical work of \textit{J. M. Ball} on cavitation [Philos. Trans. R. Soc. Lond., A 306, 557-611 (1982; Zbl 0513.73020)], and by an example of degenerate cavitation due to the author [Ann. Inst. Henri Poincaré, Anal. Non Lineaire 9, No. 6, 657-681 (1992; Zbl 0769.49030)].

Related Organizations

University of Bath
United Kingdom
Engineering and Physical Sciences Research Council
United Kingdom

Keywords

nonlinear elasticity, cavitation, Nonlinear elasticity, calculus of variations, degenerate cavitation

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