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Age-dependent modes of extensional necking instability in soft glassy materials.

Hoyle, David M. and Fielding, Suzanne M. (2015) 'Age-dependent modes of extensional necking instability in soft glassy materials.', Physical review letters., 114 (15). p. 158301.

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.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1103/PhysRevLett.114.158301
Publisher statement:Reprinted with permission from the American Physical Society: Physical Review Letters 114, 158301 © 2015 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:01 April 2015
Date deposited:01 May 2015
Date of first online publication:15 April 2015
Date first made open access:No date available

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