Age-Dependent Modes of Extensional Necking Instability in Soft Glassy Materials

Hoyle, David M.; Fielding, Suzanne M.

doi:10.1103/physrevlett.114.158301

Age-Dependent Modes of Extensional Necking Instability in Soft Glassy Materials

Hoyle, David M.; Fielding, Suzanne M.

Authors

David M. Hoyle

Professor Suzanne Fielding suzanne.fielding@durham.ac.uk
Professor

Abstract

We study the instability to necking of an initially cylindrical filament of soft glassy material subject to extensional stretching. By numerical simulation of the soft glassy rheology model and a simplified fluidity model, and by analytical predictions within a highly generic toy description, we show that the mode of instability is set by the age of the sample relative to the inverse of the applied extensional strain rate. Young samples neck gradually via a liquidlike mode, the onset of which is determined by both the elastic loading and plastic relaxation terms in the stress constitutive equation. Older samples fail at smaller draw ratios via a more rapid mode, the onset of which is determined only by the solidlike elastic loading terms (though plastic effects arise later, once appreciable necking develops). We show this solidlike mode to be the counterpart, for elastoplastic materials, of the Considère mode of necking in strain-rate-independent solids.

Citation

Hoyle, D. M., & Fielding, S. M. (2015). Age-Dependent Modes of Extensional Necking Instability in Soft Glassy Materials. Physical Review Letters, 114(15), Article 158301. https://doi.org/10.1103/physrevlett.114.158301

Journal Article Type	Article
Acceptance Date	Apr 1, 2015
Online Publication Date	Apr 15, 2015
Publication Date	Apr 17, 2015
Deposit Date	Apr 29, 2015
Publicly Available Date	May 1, 2015
Journal	Physical Review Letters
Print ISSN	0031-9007
Electronic ISSN	1079-7114
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	114
Issue	15
Article Number	158301
DOI	https://doi.org/10.1103/physrevlett.114.158301
Related Public URLs	http://arxiv.org/abs/1412.2959

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