Lu, C.-Y. David, Olmsted, Peter D. and Ball, Robin (2000) Effects of nonlocal stress on the determination of shear banding flow. Physical Review Letters, Vol.84 (No.4). pp. 642-645. doi:10.1103/PhysRevLett.84.642

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Abstract

We analyze the steady planar shear Row of the modified Johnson-Segalman model, which has an added nonlocal term. We find that the new term allows for unambiguous selection of the stress at which two "phases" coexist, in contrast to the original model. For general differential constitutive models we show the singular nature of stress selection in terms of a saddle connection between fixed points in the equivalent dynamical system. The result means that stress selection is unique under most conditions for space nonlocal models. Finally, illustrated by simple models, we show that stress selection generally depends on the form of the nonlocal terms (weak universality).

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Shear flow, Rheology
Journal or Publication Title:	Physical Review Letters
Publisher:	American Physical Society
ISSN:	0031-9007
Official Date:	24 January 2000
Dates:	Date Event 24 January 2000 Published
Date of first compliant deposit:	1 August 2016
Volume:	Vol.84
Number:	No.4
Number of Pages:	4
Page Range:	pp. 642-645
DOI:	10.1103/PhysRevLett.84.642
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access

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